Nevada State Standards Alignment Grades One through Twelve Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries. P.O. Box 8036 • Wisconsin Rapids, WI 54495-8036 Phone: (800) 338-4204 • Fax: (715) 424-4242 www.renlearn.com Nevada State Standards Alignment Standards List with Aligned Product Skills The Standards List with Aligned Product Skills Report is a standardsoriented document showing the entire list of standards for the subject and grade on the left side of the report with the aligning product objectives on the right side. This alignment report shows the breadth of standards coverage for the purpose and focus of this product. Note to Educator .....................................................iii Grade 1 ..................................................... 1 Grade 2 ..................................................... 7 Grade 3 ....................................................13 Grade 4 ....................................................19 Grade 5 ....................................................27 Grade 6 ....................................................34 Grade 7 ....................................................44 Grade 8 ....................................................52 Grades 9 - 12 ....................................................60 © 2009 by Renaissance Learning, Inc. All rights reserved. No portion of this document may be reproduced, by any process or technique, without the express written consent of Renaissance Learning, Inc. ii P.O. Box 8036 Wisconsin Rapids, WI 54495-8036 Phone: (800) 338-4204 Fax: (715) 424-4242 www.renlearn.com Note to Educator: Thank you for your interest in Renaissance Learning technology. The attached document contains the alignment between the software and/or instructional materials and the skills described in the state standards documentation. At Renaissance Learning, we recognize the impact that the standards-based reform movement and high-stakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on high-stakes assessments. We hope this report answers your questions regarding the alignment of Renaissance Learning technology and materials to your state standards. If you have any questions about the attached document, please feel free to call us at (800) 338-4204. Sincerely, Renaissance Sales and Funding Staff iii Accelerated Math Grade 1 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.1.1 - Place Value NV 1.1.1.1 - Identify, model, read, Topic 1 - Numbers and Obj. 20 - Model a number to 100 and write place value positions of 1's Operations using tens and ones and 10's. Obj. 21 - Recognize a number from a model of tens and ones to 100 NV 1.1.1.2 - Identify the value of a given digit in the 1's and 10's place. Topic 1 - Numbers and Operations NV 1.1.2 - Fractions NV 1.1.2.1 - Identify and model a whole. NV 1.1.2.2 - Identify and model 1/2 as two equal parts of a whole or a set of objects. NV 1.1.3 - Comparing and Ordering NV 1.1.3.1 - Read, write, compare, Topic 1 - Numbers and and order numbers from 0 - 100. Operations NV 1.1.3.2 - Identify ordinal positions Topic 1 - Numbers and first to tenth. Operations NV 1.1.3.3 - Read and write number words to 10. Page 1 of 112 Obj. 22 - Represent a 2-digit number as tens and ones Obj. 24 - Determine the value of a digit in a 2-digit number Obj. 22 - Represent a 2-digit number as tens and ones Obj. 24 - Determine the value of a digit in a 2-digit number Obj. 1 - Read a whole number to 30 Obj. 2 - Read a whole number from 31 to 100 Obj. 3 - Determine the word form of a whole number to 30 Obj. 4 - Determine the word form of a whole number from 31 to 100 Obj. 27 - Compare whole numbers to 100 using words Obj. 28 - Order whole numbers to 100 in ascending order Obj. 29 - Order whole numbers to 100 in descending order Obj. 16 - Answer a question involving an ordinal number up to "tenth" 083109 Accelerated Math Grade 1 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.1.3.4 - Create, compare, and Topic 1 - Numbers and Obj. 26 - Compare sets of objects describe sets of objects and numbers Operations using words from 0 - 100 as greater than, less than, or equal to (>, <, =). NV 1.1.4 - Counting NV 1.1.4.1 - Use number patterns and models to count by 2's, 5's, and 10's to 100. Obj. 27 - Compare whole numbers to 100 using words Topic 1 - Numbers and Operations NV 1.1.5 - Facts NV 1.1.5.1 - Identify and model basic Topic 1 - Numbers and addition facts (sums to 10) and the Operations corresponding subtraction facts. NV 1.1.6 - Estimating and Estimation Strategies NV 1.1.6.1 - Estimate the number of objects in a set to 10 and verify by counting. - Computation NV 1.1.8 - Solving Problems and Number Theory Page 2 of 112 Obj. 13 - Count by 2s to 50 starting from a multiple of 2 Obj. 14 - Count by 5s or 10s to 100 starting from a multiple of 5 or 10, respectively Obj. 32 - Relate a picture model to a basic addition fact Obj. 33 - Determine the basic addition fact shown by a picture model Obj. 34 - Relate a number-line model to a basic addition fact Obj. 35 - Determine the basic addition fact shown by a number-line model Obj. 36 - Relate a picture model to a basic subtraction fact Obj. 37 - Determine the basic subtraction fact shown by a picture model Obj. 38 - Determine the basic subtraction fact shown by a numberline model Obj. 39 - Relate a number-line model to a basic subtraction fact Obj. 40 - Apply the relationship between addition and counting on Obj. 41 - Apply the relationship between subtraction and counting back 083109 Accelerated Math Grade 1 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.1.8.1 - Demonstrate the joining Topic 1 - Numbers and Obj. 32 - Relate a picture model to a and separating of sets with 20 or Operations basic addition fact fewer objects. Obj. 34 - Relate a number-line model to a basic addition fact Obj. 36 - Relate a picture model to a basic subtraction fact Obj. 39 - Relate a number-line model to a basic subtraction fact NV 1.1.8.2 - Model the meaning of addition and subtraction in a variety of ways including the comparison of sets using objects, pictorial representations, and symbols. NV 1.1.8.3 - Use mathematical vocabulary and symbols to describe addition, subtraction, and equality. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.1.1 - Patterns NV 2.1.1.1 - Recognize, describe, label, extend, and create simple repeating patterns using symbols, objects, and manipulatives. NV 2.1.2 - Variables and Unknowns NV 2.1.2.1 - Recognize that unknowns in an addition or subtraction equation represent a missing value that will make the statement true. Page 3 of 112 Topic 2 - Algebraic Thinking Obj. 66 - Extend a repeating picture pattern Topic 2 - Algebraic Thinking Obj. 60 - Determine a missing addend in a basic addition-fact number sentence Obj. 61 - Determine a missing subtrahend in a basic subtraction-fact number sentence Obj. 63 - Determine a missing addend in an addition sentence with three 1-digit numbers Obj. 64 - WP: Determine a missing addend or subtrahend in a basic addition- or subtraction-fact number sentence 083109 Accelerated Math Grade 1 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.1.3 - Number Sentences, Expressions, and Polynomials NV 2.1.3.1 - Create, compare, and Topic 1 - Numbers and Obj. 26 - Compare sets of objects describe sets of objects as greater Operations using words than, less than, or equal to. - Relations and Functions - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.1.1 - Comparison, Estimation, and Conversion NV 3.1.1.1 - Compare, order, describe, and represent objects by length and weight. NV 3.1.2 - Precision in Measurements NV 3.1.2.1 - Compare and measure length and weight using non-standard measurement. - Formulas NV 3.1.4 - Money NV 3.1.4.1 - Determine the value of any set of pennies, nickels, and dimes. - Ratios and Proportions NV 3.1.6 - Time NV 3.1.6.1 - Recite in order the months of the year. NV 3.1.6.2 - Use a calendar to identify days, weeks, months, and a year. NV 3.1.6.3 - Read time to the nearest hour. Page 4 of 112 Topic 3 - Geometry and Measurement Obj. 70 - Compare objects using the vocabulary of measurement Obj. 71 - Compare and order objects by attributes of height or length Topic 3 - Geometry and Measurement Obj. 74 - Estimate length in nonstandard units Topic 1 - Numbers and Operations Obj. 17 - Determine the value of a collection of like coins Obj. 18 - Determine the value of a collection of mixed coins Topic 3 - Geometry and Measurement Obj. 80 - Determine the day of the week from a date on a calendar Topic 3 - Geometry and Measurement Obj. 76 - Tell time to the hour 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.1.1 - Two - Dimensional Shapes NV 4.1.1.1 - Name, sort, and sketch two-dimensional shapes (circles, triangles, rectangles including squares) regardless of orientation. NV 4.1.2 - Congruence, Similarity, and Transformations NV 4.1.2.1 - Demonstrate an understanding of position words, including down/up, left/right, top/bottom, and between/middle, by describing the relative location of objects. NV 4.1.3 - Coordinate Geometry and Lines of Symmetry NV 4.1.3.1 - Identify and copy twodimensional designs that contain a line of symmetry. NV 4.1.4 - Three - Dimensional Figures NV 4.1.4.1 - Identify and name threedimensional figures in the environment. - Algebraic Connections - Lines, Angles, and Their Properties - Triangles - Constructions NV 4.1.9 - Logic NV 4.1.9.1 - Sort and classify objects by size or thickness. NV 4.1.9.2 - Identify what comes next in a step-by-step story or event sequence. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Page 5 of 112 Grade 1 Topic 3 - Geometry and Measurement Obj. 81 - Identify a circle, a triangle, a square, or a rectangle Topic 3 - Geometry and Measurement Obj. 72 - Apply the vocabulary of position or direction Topic 3 - Geometry and Measurement Obj. 85 - Identify a line of symmetry 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 1, Accelerated Math Second Edition Grade 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.1.1 - Data Collection and Organization NV 5.1.1.1 - Collect, organize, and record data in response to questions posed by teacher and/or students. NV 5.1.1.2 - Use tally marks to represent data. Topic 4 - Data Analysis and Statistics Grade 1 Obj. 89 - Use a 2-category tally chart to represent groups of objects (1 symbol = 1 object) - Central Tendency and Data Distribution - Interpretation of Data - Permutations and Combinations - Experimental and Theoretical Probability - Statistical Inferences Page 6 of 112 083109 Accelerated Math Grade 2 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.2.1 - Place Value NV 1.2.1.1 - Identify, use, and model Topic 1 - Number Sense and Obj. 9 - Determine the value of a digit place value positions of 1's, 10's and Operations in a 3-digit number 100's. Obj. 10 - Determine which digit is in a specified place in a 3-digit whole number Obj. 12 - Model a number using hundreds, tens, and ones to 1,000 Obj. 13 - Recognize a number from a model of hundreds, tens, and ones to 1,000 Obj. 14 - Represent a 3-digit number as hundreds, tens, and ones NV 1.2.1.2 - Identify the value of a given digit in the 1's, 10's and 100's place. NV 1.2.2 - Fractions NV 1.2.2.1 - Identify equal parts of a whole. NV 1.2.2.2 - Identify and model the unit fractions 1/2 and 1/4 as equal parts of a whole or sets of objects. NV 1.2.3 - Comparing and Ordering NV 1.2.3.1 - Read, write, compare, and order numbers from 0 - 999. Page 7 of 112 Topic 1 - Number Sense and Operations Obj. 15 - Determine the 3-digit number represented as hundreds, tens, and ones Obj. 9 - Determine the value of a digit in a 3-digit number Obj. 14 - Represent a 3-digit number as hundreds, tens, and ones Topic 1 - Number Sense and Operations Obj. 1 - Read a whole number to 1,000 Obj. 2 - Determine the word form of a whole number to 1,000 Obj. 20 - Compare whole numbers to 1,000 using words Obj. 21 - Compare whole numbers to 1,000 using the symbols <, >, and = Obj. 22 - Order whole numbers to 1,000 in ascending order 083109 Accelerated Math Grade 2 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 23 - Order whole numbers to 1,000 in descending order NV 1.2.3.2 - Identify ordinal positions Topic 1 - Number Sense and Obj. 8 - Answer a question using an first to twentieth. Operations ordinal number up to "twentieth" NV 1.2.3.3 - Read and write number words to 20. NV 1.2.3.4 - Create, compare, and Topic 1 - Number Sense and Obj. 20 - Compare whole numbers to describe sets of objects and numbers Operations 1,000 using words from 0 - 999 as greater than, less than, or equal to (>, <, =). Obj. 21 - Compare whole numbers to 1,000 using the symbols <, >, and = NV 1.2.4 - Counting NV 1.2.4.1 - Use number patterns to Topic 1 - Number Sense and skip count. Operations Obj. 3 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Obj. 4 - Complete a skip pattern of 2, 5, or 10 starting from any number NV 1.2.5 - Facts NV 1.2.5.1 - Identify and model basic addition facts (sums to 18) and the corresponding subtraction facts. Obj. 5 - Count on by 100s from any number NV 1.2.5.2 - Immediately recall basic addition facts (sums to 18) and the corresponding subtraction facts. NV 1.2.6 - Estimating and Estimation Strategies NV 1.2.6.1 - Estimate the number of objects in a set to 20 and verify by counting. NV 1.2.7 - Computation NV 1.2.7.1 - Add and subtract oneand two-digit numbers without regrouping. NV 1.2.8 - Solving Problems and Number Theory NV 1.2.8.1 - Generate and solve onestep addition and subtraction problems based on practical situations. Page 8 of 112 083109 Accelerated Math Grade 2 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.2.8.2 - Model addition and Topic 2 - Algebraic Thinking Obj. 69 - WP: Use an open sentence subtraction in a variety of ways using to represent a given situation pictorial representations and symbols to illustrate subtraction of sets, comparison of sets, and missing addends. NV 1.2.8.3 - Reinforce the use of mathematical vocabulary and symbols to describe addition, subtraction, and equality. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.2.1 - Patterns NV 2.2.1.1 - Recognize, describe, Topic 2 - Algebraic Thinking Obj. 70 - Determine an addition or extend, and create repeating and subtraction number pattern given a increasing patterns using symbols, rule objects, and manipulatives. Obj. 71 - Determine the rule for an addition or subtraction number pattern Obj. 72 - Extend a number pattern involving addition Obj. 73 - Extend a number pattern involving subtraction Obj. 75 - Determine a repeating pattern corresponding to the same pattern expressed using different elements NV 2.2.1.2 - Use patterns and their Topic 2 - Algebraic Thinking Obj. 72 - Extend a number pattern extensions to solve problems. involving addition Obj. 73 - Extend a number pattern involving subtraction Obj. 74 - Extend a pattern given a table of related number pairs NV 2.2.2 - Variables and Unknowns NV 2.2.2.1 - Model, explain, and identify missing operations and missing numbers in open number sentences involving number facts in addition and subtraction. NV 2.2.3 - Number Sentences, Expressions, and Polynomials Page 9 of 112 083109 Accelerated Math Grade 2 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.2.3.1 - Complete number sentences with the appropriate words and symbols (+, -, =). NV 2.2.3.2 - Represent mathematical Topic 2 - Algebraic Thinking Obj. 69 - WP: Use an open sentence situations using numbers, symbols, to represent a given situation and words. - Relations and Functions - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.2.1 - Comparison, Estimation, and Conversion NV 3.2.1.1 - Compare, order, and describe objects by various measurable attributes for length, weight, and temperature. NV 3.2.2 - Precision in Measurements NV 3.2.2.1 - Compare objects to standard whole units to find objects that are greater than, less than, and/or equal to a given unit. - Formulas NV 3.2.4 - Money NV 3.2.4.1 - Determine the value of any given set of coins. NV 3.2.4.2 - Use decimals to show money amounts. Topic 1 - Number Sense and Operations NV 3.2.4.3 - Recognize equivalent combinations of coins. - Ratios and Proportions NV 3.2.6 - Time NV 3.2.6.1 - Read time to the nearest Topic 3 - Geometry and half hour and quarter hour. Measurement NV 3.2.6.2 - Use elapsed time in one hour increments, beginning on the hour, to determine start, end, and elapsed time. Page 10 of 112 Obj. 18 - Translate between a dollar sign and a cent sign Obj. 19 - Convert money amounts in words to amounts in symbols Obj. 78 - Tell time to the quarter hour 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.2.6.3 - Recognize that there are 12 months in 1 year, 7 days in 1 week, and 24 hours in 1 day. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.2.1 - Two - Dimensional Shapes NV 4.2.1.1 - Describe, sketch, and compare two-dimensional shapes regardless of orientation. NV 4.2.2 - Congruence, Similarity, and Transformations NV 4.2.2.1 - Identify congruent and similar shapes (circles, triangles, and rectangles including squares). NV 4.2.3 - Coordinate Geometry and Lines of Symmetry NV 4.2.3.1 - Identify figures with symmetry as they appear in the environment. NV 4.2.4 - Three - Dimensional Figures NV 4.2.4.1 - Identify, name, sort, and describe two- and three-dimensional geometric figures and objects including circle/sphere and square/cube. Topic 3 - Geometry and Measurement Obj. 84 - Identify figures that are the same size and shape Topic 3 - Geometry and Measurement Obj. 88 - Identify symmetry in a 2dimensional shape Topic 3 - Geometry and Measurement Obj. 85 - Identify a parallelogram, a trapezoid, a pentagon, a hexagon, or an octagon - Algebraic Connections - Lines, Angles, and Their Properties - Triangles - Constructions NV 4.2.9 - Logic NV 4.2.9.1 - Sort and classify objects by two or more attributes. NV 5.0 - Students will collect, Topic 4 - Data Analysis and organize, display, interpret, and Statistics analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Page 11 of 112 Grade 2 Obj. 87 - Name a 3-dimensional geometric shape Obj. 90 - Read a multi-category tally chart Obj. 92 - Answer a question using information from a tally chart 083109 Accelerated Math Grade 2 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 2, Accelerated Math Second Edition Grade 2 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 93 - Read a pictograph (1 symbol = more than 1 object) Obj. 95 - Answer a question using information from a pictograph (1 symbol = more than 1 object) Obj. 96 - Read a bar graph with a yaxis scale by 2s Obj. 98 - Answer a question using information from a bar graph with a yaxis scale by 2s NV 5.2.1 - Data Collection and Organization NV 5.2.1.1 - Collect, record, and classify data in response to questions posed by teacher and/or students. NV 5.2.1.2 - Use tables, pictographs, Topic 4 - Data Analysis and and bar graphs to represent data. Statistics Obj. 94 - Use a pictograph to represent data (1 symbol = more than 1 object) Obj. 97 - Use a bar graph with a yaxis scale by 2s to represent data - Central Tendency and Data Distribution - Interpretation of Data - Permutations and Combinations NV 5.2.5 - Experimental and Theoretical Probability NV 5.2.5.1 - Use informal concepts of probability (certain and impossible) to make predictions about future events. - Statistical Inferences Page 12 of 112 083109 Accelerated Math Grade 3 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.3.1 - Place Value NV 1.3.1.1 - *Identify, use, and model Topic 1 - Number Sense and Obj. 3 - Determine the value of a digit place value positions of 1's, 10's, Operations in a 4- or 5-digit whole number 100's, and 1,000's. Obj. 4 - Determine which digit is in a specified place in a 4- or 5-digit whole number Obj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Obj. 6 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones NV 1.3.1.2 - *Identify the value of a Topic 1 - Number Sense and given digit in the 1's, 10's, 100's, and Operations 1,000's place. NV 1.3.2 - Fractions NV 1.3.2.1 - *Identify and model the unit fractions 1/2, 1/3, 1/4, 1/6, and 1/8 as equal parts of a whole or sets of objects. NV 1.3.2.2 - *Read and write unit fractions with numbers and words. NV 1.3.3 - Comparing and Ordering NV 1.3.3.1 - *Read, write, compare, Topic 1 - Number Sense and and order numbers from 0 - 9,999. Operations NV 1.3.3.2 - *Read and write numbers words to 100. NV 1.3.4 - Counting Page 13 of 112 Obj. 3 - Determine the value of a digit in a 4- or 5-digit whole number Obj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Obj. 1 - Read a 4- or 5-digit whole number Obj. 2 - Determine the word form of a 4- or 5-digit whole number Obj. 11 - Compare 4- or 5-digit whole numbers using the symbols <, >, and = Obj. 12 - Order 4- or 5-digit whole numbers in ascending or descending order *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.3.4.1 - *Model and explain multiplication and division as skip counting patterns. NV 1.3.4.2 - *Model and explain multiplication and division as repeated addition or subtraction. NV 1.3.5 - Facts NV 1.3.5.1 - *Immediately recall and use addition and subtraction facts. NV 1.3.5.2 - *Immediately recall multiplication facts (products to 81). Topic 1 - Number Sense and Operations Obj. 35 - Know basic multiplication facts to 10 x 10 Topic 2 - Algebraic Thinking Obj. 39 - WP: Multiply using basic facts to 10 x 10 Obj. 63 - WP: Determine a multiplication or division sentence for a given situation NV 1.3.6 - Estimating and Estimation Strategies NV 1.3.6.1 - Estimate the number of objects in a set using various techniques. NV 1.3.7 - Computation NV 1.3.7.1 - *Add and subtract two- Topic 1 - Number Sense and and three-digit numbers with and Operations without regrouping. NV 1.3.7.2 - *Add and subtract decimals using money as a model. Topic 1 - Number Sense and Operations Obj. 13 - Add 3- and 4-digit whole numbers with regrouping Obj. 14 - Add three 2- to 3-digit whole numbers Obj. 15 - Subtract 3- and 4-digit whole numbers with regrouping Obj. 16 - WP: Add or subtract 3- and 4-digit whole numbers with regrouping Obj. 20 - Add dollars and cents to cents Obj. 21 - Add dollars and cents to dollars Obj. 22 - Subtract cents from dollars and cents Obj. 23 - Subtract dollars from dollars and cents Obj. 24 - Determine money amounts that total $10 Obj. 25 - WP: Determine the amount of change from whole dollar amounts Obj. 26 - WP: Add or subtract money amounts less than $1 NV 1.3.8 - Solving Problems and Number Theory Page 14 of 112 Grade 3 *State-Assessed Standards 083109 Accelerated Math Grade 3 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.3.8.1 - *Generate and solve two- Topic 1 - Number Sense and Obj. 39 - WP: Multiply using basic step addition and subtraction Operations facts to 10 x 10 problems and one-step multiplication problems based on practical situations. Topic 2 - Algebraic Thinking Obj. 63 - WP: Determine a multiplication or division sentence for a given situation NV 1.3.8.2 - *Model addition, Topic 1 - Number Sense and Obj. 33 - Use a multiplication subtraction, multiplication, and Operations sentence to represent an area or an division in a variety of ways. array model Obj. 34 - Use a division sentence to represent objects divided into equal groups NV 1.3.8.3 - *Use mathematical vocabulary and symbols to describe multiplication and division. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.3.1 - Patterns NV 2.3.1.1 - *Recognize, describe, Topic 2 - Algebraic Thinking and create patterns using objects and numbers found in tables, number charts, and charts. NV 2.3.1.2 - *Record results of patterns created using manipulatives, pictures, and numeric representations and describe how they are extended. NV 2.3.2 - Variables and Unknowns NV 2.3.2.1 - *Model, explain, and solve open number sentences involving addition, subtraction, and multiplication facts. Page 15 of 112 Topic 2 - Algebraic Thinking Obj. 65 - Determine a rule for a table of related number pairs Obj. 66 - WP: Find the missing number in a table of paired values Obj. 58 - Determine the missing multiplicand in a number sentence involving basic facts Obj. 60 - Recognize equivalent multiplication or division expressions involving basic facts *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.3.2.2 - *Use variables and open sentences to express relationships. NV 2.3.3 - Number Sentences, Expressions, and Polynomials NV 2.3.3.1 - *Complete number Topic 2 - Algebraic Thinking sentences with the appropriate words and symbols (+, -, >, <, =). - Relations and Functions - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.3.1 - Comparison, Estimation, and Conversion NV 3.3.1.1 - *Compare, order, and describe objects by various measurable attributes for area and volume/capacity. NV 3.3.2 - Precision in Measurements NV 3.3.2.1 - *Select and use appropriate units of measure. NV 3.3.2.2 - *Measure to a required degree of accuracy (to the nearest 1/2 unit). - Formulas NV 3.3.4 - Money NV 3.3.4.1 - *Determine possible combinations of coins and bills to equal given amounts. NV 3.3.4.2 - *Read, write, and use money notation. NV 3.3.4.3 - *Recognize equivalent relationships between and among bills and coins. - Ratios and Proportions NV 3.3.6 - Time NV 3.3.6.1 - *Tell time to the nearest minute, using analog and digital clocks. Page 16 of 112 Grade 3 Obj. 61 - Determine the operation needed to make a number sentence true Topic 3 - Geometry and Measurement Obj. 67 - Measure length to the nearest half inch or quarter inch Topic 3 - Geometry and Measurement Obj. 74 - Tell time to the minute *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.3.6.2 - *Use elapsed time in halfhour increments, beginning on the hour or half-hour, to determine start, end, and elapsed time. NV 3.3.6.3 - *Recognize that there are 60 minutes in 1 hour. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.3.1 - Two - Dimensional Shapes NV 4.3.1.1 - *Describe, sketch, compare, and contrast plane geometric figures. NV 4.3.2 - Congruence, Similarity, and Transformations NV 4.3.2.1 - Demonstrate and Topic 3 - Geometry and describe the transformational motions Measurement of geometric figures (translation/slide, reflection/flip, and rotation/turn). Grade 3 Obj. 101 - Identify mirror images NV 4.3.3 - Coordinate Geometry and Lines of Symmetry NV 4.3.3.1 - Create two-dimensional designs that contain a line of symmetry. NV 4.3.4 - Three - Dimensional Figures NV 4.3.4.1 - Compare, contrast, sketch, model, and build two- and three-dimensional geometric figures and objects. - Algebraic Connections NV 4.3.6 - Lines, Angles, and Their Properties NV 4.3.6.1 - *Identify, draw, and describe horizontal, vertical, and oblique lines. - Triangles - Constructions NV 4.3.9 - Logic NV 4.3.9.1 - Use the quantifiers all, some, and none to describe the characteristics of a set. Page 17 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 3, Accelerated Math Second Edition Grade 3 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.3.1 - Data Collection and Organization NV 5.3.1.1 - *Pose questions that can be used to guide data collection, organization, and representation. NV 5.3.1.2 - *Use graphical representations, including number lines, frequency tables, and pictographs to represent data. Topic 4 - Data Analysis, Statistics, and Probability Grade 3 Obj. 105 - Use a bar graph with a scale interval of 5 or 10 to represent data Obj. 110 - Use a frequency table to represent data - Central Tendency and Data Distribution - Interpretation of Data - Permutations and Combinations NV 5.3.5 - Experimental and Theoretical Probability NV 5.3.5.1 - *Use informal concepts Topic 4 - Data Analysis, of probability (certain, likely, unlikely, Statistics, and Probability impossible) to make predictions about future events. Obj. 113 - Determine if a situation is certain or impossible Obj. 114 - Determine which event is least likely or most likely to occur - Statistical Inferences Page 18 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.4.1 - Place Value NV 1.4.1.1 - *Identify and use place Topic 1 - Number Sense and Obj. 3 - Determine the value of a digit value positions of whole numbers to Operations in a 6-digit whole number one million. Obj. 4 - Determine which digit is in a specified place in a 6-digit whole number NV 1.4.2 - Fractions NV 1.4.2.1 - *Identify fractions and compare fractions with like denominators using models, drawings, and numbers. NV 1.4.3 - Comparing and Ordering NV 1.4.3.1 - *Read, write, compare, Topic 1 - Number Sense and Obj. 1 - Read a 6-digit whole number and order whole numbers. Operations NV 1.4.3.2 - *Read and write number Topic 1 - Number Sense and words. Operations NV 1.4.4 - Counting NV 1.4.4.1 - Count by multiples of a given number. NV 1.4.4.2 - Explain relationships between skip counting, repeated addition, and multiples. NV 1.4.5 - Facts NV 1.4.5.1 - *Immediately recall and use multiplication and corresponding division facts (products to 144). NV 1.4.6 - Estimating and Estimation Strategies NV 1.4.6.1 - *Estimate to determine Topic 1 - Number Sense and the reasonableness of an answer in Operations mathematical and practical situations. Obj. 2 - Determine the word form of a 6-digit whole number Obj. 1 - Read a 6-digit whole number Obj. 2 - Determine the word form of a 6-digit whole number Obj. 18 - WP: Estimate the sum or difference of two whole numbers, all values less than 1,000,000 NV 1.4.7 - Computation Page 19 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.4.7.1 - *Add and subtract multi- Topic 1 - Number Sense and Obj. 10 - Add a 5-digit or greater digit numbers. Operations whole number and a 3-digit or greater whole number Obj. 11 - Add three multi-digit whole numbers Obj. 13 - Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj. 14 - WP: Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj. 15 - WP: Add three multi-digit whole numbers Obj. 16 - WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj. 19 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers NV 1.4.7.2 - *Multiply and divide multi- Topic 1 - Number Sense and digit numbers by a one-digit whole Operations number with regrouping, including monetary amounts as decimals. Obj. 20 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj. 23 - Multiply a 3- or 4-digit whole number by a 1-digit whole number Obj. 27 - WP: Multiply a multi-digit whole number by a 1-digit whole number Obj. 34 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 35 - Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 36 - Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 37 - Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 38 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 39 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Page 20 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 40 - WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 41 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient NV 1.4.8 - Solving Problems and Number Theory NV 1.4.8.1 - *Generate and solve addition, subtraction, multiplication, and division problems using whole numbers in practical situations. Obj. 82 - WP: Multiply a money amount by a 1-digit number Obj. 83 - WP: Divide a money amount by a 1-digit number Topic 1 - Number Sense and Operations Obj. 14 - WP: Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj. 15 - WP: Add three multi-digit whole numbers Obj. 16 - WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj. 19 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers Obj. 27 - WP: Multiply a multi-digit whole number by a 1-digit whole number Obj. 38 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 39 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 40 - WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 41 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 42 - WP: Solve a 2-step whole number problem using more than 1 operation Page 21 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.4.1 - Patterns NV 2.4.1.1 - *Identify, describe, and Topic 2 - Algebra Obj. 86 - Identify a missing term in a represent patterns and relationships multiplication or a division number in the number system, including pattern arithmetic and geometric sequences. Obj. 90 - Generate a table of paired numbers based on a rule Obj. 91 - Determine a rule that relates two variables Obj. 92 - Extend a number pattern in a table of related pairs NV 2.4.2 - Variables and Unknowns NV 2.4.2.1 - *Model, explain, and solve open number sentences involving addition, subtraction, multiplication, and division. NV 2.4.2.2 - *Select the solution to an equation from a given set of numbers. NV 2.4.3 - Number Sentences, Expressions, and Polynomials NV 2.4.3.1 - *Complete number sentences with the appropriate words and symbols (+, -, x, ÷, >, <, =). - Relations and Functions - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Page 22 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.4.1 - Comparison, Estimation, and Conversion NV 3.4.1.1 - *Estimate and convert Topic 3 - Geometry and Obj. 93 - Measure length to the units of measure for length, area, and Measurement nearest eighth of an inch weight within the same measurement system (customary and metric). Obj. 94 - Measure length to the nearest millimeter Obj. 96 - Convert between customary units of weight using whole numbers Obj. 98 - Convert between metric units of mass using whole numbers NV 3.4.1.2 - *Estimate temperature in practical situations. NV 3.4.2 - Precision in Measurements NV 3.4.2.1 - *Measure length, area, Topic 3 - Geometry and temperature, and weight to a required Measurement degree of accuracy in customary and metric systems. NV 3.4.3 - Formulas NV 3.4.3.1 - *Define and determine Topic 3 - Geometry and the perimeter of polygons and the Measurement area of rectangles, including squares. Obj. 99 - Convert between millimeters and centimeters or meters using whole numbers Obj. 119 - Estimate the area of an irregular polygon on a grid Obj. 93 - Measure length to the nearest eighth of an inch Obj. 94 - Measure length to the nearest millimeter Obj. 114 - Determine the area of a polygon on a grid Obj. 110 - Determine the perimeter of a rectangle given a picture showing length and width Obj. 111 - WP: Determine the perimeter of a rectangle given a picture showing length and width Obj. 112 - WP: Determine the perimeter of a square or rectangle Obj. 115 - Determine the area of a rectangle given a picture showing the length and width Obj. 116 - Determine the area of a rectangle given the length and width Obj. 117 - WP: Determine the area of a rectangle NV 3.4.4 - Money Page 23 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 4 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.4.4.1 - *Determine totals for monetary amounts in practical situations. NV 3.4.4.2 - *Use money notation to Topic 1 - Number Sense and Obj. 77 - WP: Add or subtract money add and subtract given monetary Operations amounts greater than $1 amounts Obj. 78 - WP: Solve a money problem involving 2 steps - Ratios and Proportions NV 3.4.6 - Time NV 3.4.6.1 - *Use A.M. and P.M. appropriately in describing time. NV 3.4.6.2 - *Use elapsed time in quarter-hour increments, beginning on the quarter-hour, to determine start, end, and elapsed time. NV 3.4.6.3 - *Recognize the number of weeks in a year, days in a year, and days in a month. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.4.1 - Two - Dimensional Shapes NV 4.4.1.1 - *Identify, draw, and classify angles, including straight, right, obtuse, and acute. NV 4.4.2 - Congruence, Similarity, and Transformations NV 4.4.2.1 - *Identify shapes that are congruent, similar, and/or symmetrical using a variety of methods including transformational motions. NV 4.4.3 - Coordinate Geometry and Lines of Symmetry NV 4.4.3.1 - *Identify coordinates for a given point in the first quadrant. NV 4.4.3.2 - *Locate points of given coordinates on a grid in the first quadrant. NV 4.4.4 - Three - Dimensional Figures Page 24 of 112 Topic 3 - Geometry and Measurement Obj. 121 - Classify an angle given a picture Obj. 122 - Classify an angle given its measure Topic 3 - Geometry and Measurement Obj. 128 - Identify similar shapes Topic 3 - Geometry and Measurement Obj. 134 - Determine the ordered pair of a point in the first quadrant using compass directions Obj. 133 - Identify the location of an ordered pair in the first quadrant using compass directions Topic 3 - Geometry and Measurement *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.4.4.1 - *Identify, describe, and classify two- and three-dimensional figures by relevant properties including the number of vertices, edges, and faces using models - Algebraic Connections NV 4.4.6 - Lines, Angles, and Their Properties NV 4.4.6.1 - *Identify, draw, label, and describe points, line segments, rays, and angles. - Triangles - Constructions NV 4.4.9 - Logic NV 4.4.9.1 - Use the connectors and, or, and not to describe the members of a set. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.4.1 - Data Collection and Organization NV 5.4.1.1 - *Pose questions that can be used to guide the collection of categorical and numerical data. NV 5.4.1.2 - *Organize and represent Topic 4 - Data Analysis, data using a variety of graphical Statistics, and Probability representations including frequency tables and line plots. NV 5.4.2 - Central Tendency and Data Distribution NV 5.4.2.1 - Model and compute range. NV 5.4.2.2 - Model the measures of central tendency for mode and median. NV 5.4.3 - Interpretation of Data NV 5.4.3.1 - *Interpret data and make predictions using frequency tables and line plots. - Permutations and Combinations NV 5.4.5 - Experimental and Theoretical Probability Page 25 of 112 *State-Assessed Standards Grade 4 Obj. 136 - Use a line graph to represent data Obj. 140 - Use a double-bar graph to represent data 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 4, Accelerated Math Second Edition Grade 4 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.4.5.1 - Conduct simple probability experiments using concrete materials. NV 5.4.5.2 - Represent the results of simple probability experiments as fractions to make predictions about future events. - Statistical Inferences Grade 4 Page 26 of 112 083109 *State-Assessed Standards Accelerated Math Grade 5 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.5.1 - Place Value NV 1.5.1.1 - *Identify and use place Topic 1 - Number Sense and Obj. 69 - Determine the value of a value positions of whole numbers and Operations digit in a decimal number to decimals to hundredths. thousandths NV 1.5.2 - Fractions NV 1.5.2.1 - *Add and subtract Topic 1 - Number Sense and fractions with like denominators using Operations models, drawings, and numbers. NV 1.5.2.2 - *Compare fractions with unlike denominators using models and drawings, and by finding common denominators. NV 1.5.2.3 - *Identify, model, and compare improper fractions and mixed numbers. NV 1.5.3 - Comparing and Ordering NV 1.5.3.1 - Read, write, compare, and order integers in mathematical and practical situations. - Counting NV 1.5.5 - Facts NV 1.5.5.1 - *Use multiples of 10 to expand knowledge of basic multiplication and division facts. NV 1.5.6 - Estimating and Estimation Strategies NV 1.5.6.1 - Estimate to determine the reasonableness of an answer in mathematical and practical situations involving decimals. Page 27 of 112 Topic 1 - Number Sense and Operations Topic 1 - Number Sense and Operations *State-Assessed Standards Obj. 35 - Add fractions with like denominators greater than 10 and simplify the sum Obj. 40 - Subtract fractions with like denominators greater than 10 and simplify the difference Obj. 45 - WP: Add or subtract fractions with like denominators and simplify the sum or difference Obj. 33 - Compare fractions with unlike denominators Obj. 83 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj. 84 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place 083109 Accelerated Math Grade 5 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 85 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method NV 1.5.7 - Computation NV 1.5.7.1 - *Add and subtract Topic 1 - Number Sense and Obj. 75 - Add two decimal numbers decimals. Operations of differing places to thousandths Obj. 77 - Add decimal numbers and whole numbers Obj. 79 - Subtract a decimal number from a whole number or a whole number from a decimal number NV 1.5.7.2 - *Multiply and divide decimals by whole numbers in problems representing practical situations. Topic 1 - Number Sense and Operations NV 1.5.7.3 - *Use order of operations Topic 1 - Number Sense and to evaluate expressions with whole Operations numbers. NV 1.5.8 - Solving Problems and Number Theory NV 1.5.8.1 - *Generate and solve addition, subtraction, multiplication, and division problems using whole numbers and decimals in practical situations. Topic 1 - Number Sense and Operations Obj. 86 - Multiply a decimal number through thousandths by 10, 100, or 1,000 Obj. 87 - WP: Multiply a decimal through thousandths by 10, 100, or 1,000 Obj. 88 - Multiply a money amount by a 2- or 3-digit whole number Obj. 89 - WP: Multiply a money amount by a 2-digit whole number Obj. 96 - Evaluate a numerical expression involving three operations, with no parentheses, using order of operations Obj. 97 - Evaluate a numerical expression involving three operations, with parentheses, using order of operations Obj. 11 - Multiply a 3- or 4-digit whole number by a 3-digit whole number Obj. 12 - WP: Multiply a 3- or 4-digit whole number by a 3-digit whole number Obj. 13 - Divide a multi-digit whole number by multiples of 100 or 1,000 Obj. 18 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and no zeros in the quotient Page 28 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 5 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 19 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and no zeros in the quotient Obj. 20 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and at least one zero in the quotient Obj. 21 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Obj. 22 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Obj. 23 - WP: Divide a whole number, with no remainder Obj. 24 - WP: Divide a whole number and interpret the remainder Obj. 25 - WP: Solve a 2-step problem involving whole numbers Obj. 87 - WP: Multiply a decimal through thousandths by 10, 100, or 1,000 Obj. 89 - WP: Multiply a money amount by a 2-digit whole number NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.5.1 - Patterns NV 2.5.1.1 - Identify, describe, and represent patterns and relationships in the number system, including triangular numbers and perfect squares. NV 2.5.2 - Variables and Unknowns NV 2.5.2.1 - *Find possible solutions to an inequality involving a variable using whole numbers as a replacement set. Page 29 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.5.2.2 - *Solve equations with whole numbers using a variety of methods, including inverse operations, mental math, and guess and check. NV 2.5.3 - Number Sentences, Expressions, and Polynomials NV 2.5.3.1 - *Complete number sentences with the appropriate words and symbols including "greater than or equal to", "less than or equal to" and "not equal to". Grade 5 - Relations and Functions - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.5.1 - Comparison, Estimation, and Conversion NV 3.5.1.1 - *Estimate and convert units of measure for weight and volume/capacity within the same measurement system (customary and metric). Topic 3 - Geometry and Measurement Obj. 115 - Convert between customary units of weight using fractional amounts Obj. 116 - Convert between metric units of capacity using decimal amounts Obj. 117 - Convert between metric units of mass using decimal amounts NV 3.5.2 - Precision in Measurements NV 3.5.2.1 - Measure volume and Topic 3 - Geometry and weight to a required degree of Measurement accuracy in the customary and metric systems. NV 3.5.3 - Formulas Page 30 of 112 Obj. 114 - Convert between customary units of capacity using fractional amounts *State-Assessed Standards Obj. 136 - Determine the volume of an object composed of rectangular prisms by counting units 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.5.3.1 - *Describe the difference between perimeter and area, including the difference in units of measure. NV 3.5.4 - Money NV 3.5.4.1 - *Determine totals, differences, and change due for monetary amounts in practical situations. - Ratios and Proportions NV 3.5.6 - Time NV 3.5.6.1 - *Determine equivalent periods of time, including relationships between and among seconds, minutes, hours, days, months, and years. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.5.1 - Two - Dimensional Shapes NV 4.5.1.1 - *Identify, classify, compare, and draw triangles and quadrilaterals based on their properties. NV 4.5.1.2 - *Identify and draw circles and parts of circles, describing the relationships between the various parts. NV 4.5.2 - Congruence, Similarity, and Transformations NV 4.5.2.1 - *Represent concepts of congruency, similarity, and/or symmetry using a variety of methods including dilation (enlargement/reduction) and transformational motions. NV 4.5.3 - Coordinate Geometry and Lines of Symmetry NV 4.5.3.1 - *Graph coordinates representing geometric shapes in the first quadrant. Page 31 of 112 Grade 5 Topic 3 - Geometry and Measurement Obj. 141 - Classify a triangle by its sides and angles Topic 3 - Geometry and Measurement Obj. 145 - Identify a figure that has reflectional or rotational symmetry Obj. 146 - Determine the result of a reflection, a rotation, or a translation on a grid Obj. 147 - Determine the transformation that generates the image of a figure on a grid *State-Assessed Standards 083109 Accelerated Math Grade 5 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.5.4 - Three - Dimensional Figures NV 4.5.4.1 - *Predict and describe the effects of combining, dividing, and changing shapes into other shapes. - Algebraic Connections NV 4.5.6 - Lines, Angles, and Their Properties NV 4.5.6.1 - *Identify, draw, label, and describe planes, parallel lines, intersecting lines, and perpendicular lines. NV 4.5.7 - Triangles NV 4.5.7.1 - Describe characteristics Topic 3 - Geometry and Obj. 141 - Classify a triangle by its of right, acute, obtuse, scalene, Measurement sides and angles equilateral, and isosceles triangles. - Constructions NV 4.5.9 - Logic NV 4.5.9.1 - *Represent relationships using Venn diagrams. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.5.1 - Data Collection and Organization NV 5.5.1.1 - *Pose questions that can be used to guide the collection of categorical and numerical data. NV 5.5.1.2 - *Organize and represent data using a variety of graphical representations including stem and leaf plots and histograms. NV 5.5.2 - Central Tendency and Data Distribution NV 5.5.2.1 - *Compute range. Topic 4 - Data Analysis, Statistics, and Probability NV 5.5.2.2 - *Model and compute the Topic 4 - Data Analysis, measures of central tendency for Statistics, and Probability mean, median, and mode. Page 32 of 112 *State-Assessed Standards Obj. 160 - Determine the range from a graph Obj. 164 - Determine the range of a set of whole number data Obj. 159 - Determine the mode from a graph Obj. 161 - Determine the mean of a set of whole number data, whole number results 083109 Accelerated Math Grade 5 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 5, Accelerated Math Second Edition Grade 5 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 162 - Determine the median of an odd number of data values Obj. 163 - Determine the mode of a set of whole number data NV 5.5.3 - Interpretation of Data NV 5.5.3.1 - *Interpret data and make predictions using stem-and-leaf plots and histograms. NV 5.5.4 - Permutations and Combinations NV 5.5.4.1 - *Represent and solve problems involving combinations using a variety of methods. NV 5.5.5 - Experimental and Theoretical Probability NV 5.5.5.1 - Conduct simple probability experiments using concrete materials. NV 5.5.5.2 - Represent the results of simple probability experiments as decimals to make predictions about future events. NV 5.5.6 - Statistical Inferences NV 5.5.6.1 - Select an appropriate type of graph to accurately represent the data and justify the selection. Page 33 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.6.1 - Place Value NV 1.6.1.1 - *Identify and use place value positions to thousandths. NV 1.6.2 - Fractions NV 1.6.2.1 - *Add and subtract fractions with unlike denominators. Topic 1 - Number Sense and Operations NV 1.6.2.2 - *Multiply and divide with Topic 1 - Number Sense and fractions using models, drawings, Operations and numbers. NV 1.6.2.3 - *Use models to translate among fractions, decimals, and percents. NV 1.6.3 - Comparing and Ordering NV 1.6.3.1 - *Read, write, compare, and order groups of fractions, groups of decimals, and groups of percents. - Counting NV 1.6.5 - Facts NV 1.6.5.1 - *Identify equivalent expressions between and among fractions, decimals, and percents. Page 34 of 112 Topic 1 - Number Sense and Operations *State-Assessed Standards Grade 6 Obj. 13 - Add fractions with unlike denominators and simplify the sum Obj. 14 - Subtract fractions with unlike denominators and simplify the difference Obj. 15 - Subtract a fraction from a whole number Obj. 16 - WP: Add or subtract fractions with unlike denominators and simplify the sum or difference Obj. 22 - Multiply a fraction by a fraction Obj. 28 - Divide a fraction by a whole number resulting in a fractional quotient Obj. 29 - Divide a fraction by a fraction Obj. 30 - Divide a whole number by a fraction resulting in a fractional quotient Obj. 33 - WP: Multiply or divide a fraction by a fraction Obj. 58 - Relate division by a decimal fraction power of ten to multiplication by the related whole number power of ten 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.6.6 - Estimating and Estimation Strategies NV 1.6.6.1 - *Estimate using Topic 1 - Number Sense and Obj. 52 - WP: Estimate the product fractions, decimals, and percents. Operations of two decimals Obj. 66 - WP: Estimate the quotient of two decimals NV 1.6.6.2 - *Use estimation Topic 1 - Number Sense and Obj. 52 - WP: Estimate the product strategies in mathematical and Operations of two decimals practical situations. Obj. 66 - WP: Estimate the quotient of two decimals NV 1.6.7 - Computation NV 1.6.7.1 - *Calculate using Topic 1 - Number Sense and Obj. 13 - Add fractions with unlike fractions, decimals, and percents in Operations denominators and simplify the sum mathematical and practical situations. Obj. 14 - Subtract fractions with unlike denominators and simplify the difference Obj. 15 - Subtract a fraction from a whole number Obj. 16 - WP: Add or subtract fractions with unlike denominators and simplify the sum or difference Obj. 22 - Multiply a fraction by a fraction Obj. 28 - Divide a fraction by a whole number resulting in a fractional quotient Obj. 29 - Divide a fraction by a fraction Obj. 30 - Divide a whole number by a fraction resulting in a fractional quotient Obj. 33 - WP: Multiply or divide a fraction by a fraction Obj. 35 - WP: Solve a 2-step problem involving fractions Obj. 40 - Add three decimal numbers Page 35 of 112 *State-Assessed Standards Obj. 41 - Add and subtract three decimal numbers Obj. 42 - WP: Add and subtract three decimal numbers Obj. 43 - Multiply a decimal number through thousandths by a whole number Obj. 44 - WP: Multiply a decimal number through thousandths by a whole number Obj. 45 - WP: Multiply a money expression by a decimal number 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 46 - Multiply a decimal number greater than one, in tenths, by a decimal number in tenths Obj. 47 - Multiply decimal numbers to thousandths using basic facts Obj. 48 - Multiply decimal numbers less than one in hundredths or thousandths Obj. 49 - Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit Obj. 50 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places Obj. 51 - WP: Multiply two decimal numbers to thousandths Obj. 53 - Divide a decimal number by 10, 100, or 1,000 Obj. 55 - Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Obj. 56 - WP: Divide a decimal number through thousandths by a 1or 2-digit whole number Obj. 57 - Divide a whole number or a decimal number by 0.1, 0.01, or 0.001 Obj. 60 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole number Obj. 61 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Obj. 62 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed Obj. 63 - Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Page 36 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 64 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Obj. 65 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Obj. 67 - WP: Solve a 2-step problem involving decimals Obj. 78 - Determine a percent where a ratio, not in 100ths, is given in words Obj. 79 - Calculate a percent of a whole number where the answer is a whole number Obj. 80 - WP: Calculate the percent of a whole number where the answer is a whole number NV 1.6.7.2 - *Use order of operations Topic 1 - Number Sense and Obj. 88 - Evaluate a numerical to evaluate expressions with integers. Operations expression of four or more operations, with parentheses, using order of operations NV 1.6.8 - Solving Problems and Number Theory NV 1.6.8.1 - *Use the concepts of Topic 1 - Number Sense and Obj. 1 - Determine the prime number theory, including prime and Operations factorization of a number between 50 composite numbers, factors, and 200 multiples, and the rules of divisibility to solve problems. Obj. 2 - Determine the greatest common factor of three numbers to 100 Obj. 3 - Determine the least common multiple of three numbers Obj. 4 - WP: Determine the least common multiple of two or more numbers Obj. 5 - Apply divisibility rules for 3, 4, 6, and 9 NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.6.1 - Patterns Page 37 of 112 083109 *State-Assessed Standards Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.6.1.1 - *Use and create tables Topic 2 - Algebra Obj. 103 - WP: Generate a table of and charts to extend a pattern in paired numbers based on a variable order to describe a rule for expression with two operations input/output tables and to find missing terms in a sequence. Obj. 104 - Use a 2-variable equation to construct an input-output table Obj. 105 - Use a 2-variable equation to represent a relationship expressed in a table NV 2.6.2 - Variables and Unknowns NV 2.6.2.1 - *Evaluate formulas and algebraic expressions using whole number values. Topic 2 - Algebra NV 2.6.2.2 - *Solve and graphically represent equations and simple inequalities in one variable. NV 2.6.3 - Number Sentences, Expressions, and Polynomials NV 2.6.3.1 - Write simple expressions and equations using variables to represent mathematical situations. Topic 2 - Algebra Topic 2 - Algebra Obj. 93 - Use a variable expression with two operations to represent a verbal expression Obj. 94 - Use a verbal expression to represent a variable expression with two operations Obj. 95 - WP: Use a variable expression with two operations to represent a situation Obj. 97 - WP: Use a 2-variable linear equation to represent a situation NV 2.6.4 - Relations and Functions NV 2.6.4.1 - *When given a rule Topic 2 - Algebra relating two variables, create a table and represent the ordered pairs on a coordinate plane. Page 38 of 112 Obj. 98 - Evaluate a 1-variable expression, with two or three operations, using whole number substitution Obj. 99 - Evaluate a 2-variable expression, with two or three operations, using whole number substitution Obj. 100 - WP: Evaluate a 1- or 2variable expression or formula using whole numbers Obj. 101 - Solve a 1-step equation involving whole numbers *State-Assessed Standards Obj. 103 - WP: Generate a table of paired numbers based on a variable expression with two operations Obj. 104 - Use a 2-variable equation to construct an input-output table 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 105 - Use a 2-variable equation to represent a relationship expressed in a table Obj. 106 - Use a first quadrant graph to represent the values in an inputoutput table Obj. 107 - Use a graph to determine the entries in an input-output table - Linear Equations and Inequalities - Algebraic Representations and Applications NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.6.1 - Comparison, Estimation, and Conversion NV 3.6.1.1 - *Estimate and compare corresponding units of measure for temperature, length, and weight/mass between customary and metric systems. NV 3.6.2 - Precision in Measurements NV 3.6.2.1 - *Given two measurements of the same object, select the one that is more precise. NV 3.6.2.2 - *Explain how the size of the unit of measure used effects precision. NV 3.6.3 - Formulas NV 3.6.3.1 - *Select, model, and Topic 3 - Geometry and apply formulas to find the perimeter, Measurement circumference, and area of plane figures. Page 39 of 112 *State-Assessed Standards Obj. 120 - Determine the perimeter of a complex shape Obj. 121 - Determine the area of a complex shape Obj. 122 - WP: Determine the perimeter or the area of a complex shape Obj. 124 - Determine the circumference of a circle using 22/7 for pi 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 125 - Determine the circumference of a circle using 3.14 for pi Obj. 126 - WP: Determine the circumference of a circle NV 3.6.4 - Money NV 3.6.4.1 - *Compare and use unit Topic 1 - Number Sense and Obj. 87 - WP: Use a unit rate, with a cost in practical situations. Operations whole number or whole cent value, to solve a problem NV 3.6.5 - Ratios and Proportions NV 3.6.5.1 - *Write and apply ratios in Topic 1 - Number Sense and Obj. 81 - WP: Determine a ratio mathematical and practical problems Operations using whole numbers less than 50 involving measurement and monetary conversions. Obj. 82 - Determine if ratios, using whole numbers less than 50, are equivalent Obj. 83 - WP: Determine a part given a ratio and the whole where the whole is less than 50 Obj. 84 - WP: Determine a part given a ratio and another part where the whole is less than 50 Obj. 85 - WP: Determine the whole given a ratio and a part where the whole is less than 50 NV 3.6.6 - Time NV 3.6.6.1 - *Use equivalent periods of time to solve practical problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.6.1 - Two - Dimensional Shapes NV 4.6.1.1 - *Measure angles using a Topic 3 - Geometry and protractor. Measurement NV 4.6.1.2 - *Identify, classify, compare and draw regular and irregular quadrilaterals. NV 4.6.1.3 - *Identify, draw, and use central angles to represent fractions of a circle. NV 4.6.2 - Congruence, Similarity, and Transformations Page 40 of 112 *State-Assessed Standards Obj. 119 - Measure an angle, between two rays or in a shape, to the nearest degree 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.6.2.1 - *Determine actual Topic 3 - Geometry and Obj. 134 - Determine a length given a measurements represented on scale Measurement scale drawings. NV 4.6.2.2 - *Convert actual measurements to scale. NV 4.6.3 - Coordinate Geometry and Lines of Symmetry NV 4.6.3.1 - *Using a coordinate Topic 3 - Geometry and Obj. 138 - Determine the location of plane, identify and locate points. Measurement an ordered pair in any quadrant Obj. 139 - Determine the ordered pair of a point in any quadrant NV 4.6.3.2 - *Graph coordinates representing geometric shapes in all four quadrants on a coordinate plane. NV 4.6.4 - Three - Dimensional Figures NV 4.6.4.1 - *Make a model of a three-dimensional prism from a twodimensional drawing. NV 4.6.4.2 - *Make a twodimensional drawing of a threedimensional prism. NV 4.6.5 - Algebraic Connections NV 4.6.5.1 - Model slope (pitch, angle of inclination) using concrete objects and practical examples. NV 4.6.6 - Lines, Angles, and Their Properties NV 4.6.6.1 - *Draw, identify, and find Topic 3 - Geometry and measures of complementary and Measurement supplementary angles using arithmetic and geometric methods. NV 4.6.7 - Triangles NV 4.6.7.1 - Determine the measure of missing angles of triangles based on the Triangle Sum Theorem. Obj. 129 - Determine the measure of a missing angle using straight and right angle relationships NV 4.6.8 - Constructions NV 4.6.8.1 - Construct circles, angles, and triangles based on given measurements using a variety of methods and tools including compass, straight edge, paper folding, and technology. NV 4.6.9 - Logic NV 4.6.9.1 - Identify counterexamples to disprove a conditional statement. Page 41 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.6.1 - Data Collection and Organization NV 5.6.1.1 - *Pose questions that guide the collection of data. NV 5.6.1.2 - *Organize and represent data using a variety of graphical representations including circle graphs and scatter plots. NV 5.6.2 - Central Tendency and Data Distribution NV 5.6.2.1 - *Select and apply the Topic 4 - Data Analysis, Obj. 147 - Determine the mean of a measures of central tendency to Statistics, and Probability set of whole number data describe data. Obj. 148 - Determine the median of a set of whole number data Obj. 149 - Determine the mode or modes of a set of whole number data NV 5.6.3 - Interpretation of Data NV 5.6.3.1 - *Analyze the effect a change of graph type has on the interpretation of a set of data. NV 5.6.3.2 - *Interpret data and make predictions using circle graphs and scatter plots. NV 5.6.4 - Permutations and Combinations NV 5.6.4.1 - *Find the number of Topic 4 - Data Analysis, outcomes for a specific event by Statistics, and Probability constructing sample spaces and tree diagrams. NV 5.6.5 - Experimental and Theoretical Probability NV 5.6.5.1 - *Find experimental probability using concrete materials. NV 5.6.5.2 - *Represent the results of Topic 4 - Data Analysis, simple probability experiments as Statistics, and Probability fractions, decimals, percents, and ratios to make predictions about future events. Page 42 of 112 *State-Assessed Standards Obj. 150 - Determine the effect of a change in a data set on the mean and/or median Obj. 157 - Determine the number of possible combinations of a set of objects Obj. 151 - Determine an experimental probability given a list of results 083109 Accelerated Math Grade 6 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 6, Accelerated Math Second Edition Grade 6 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 152 - Determine the probability of a single event Obj. 154 - Make a prediction based on an experimental probability NV 5.6.6 - Statistical Inferences NV 5.6.6.1 - *Analyze various representations of a set of data to draw conclusions and make predictions. NV 5.6.6.2 - *Describe the limitations of various graphical representations. Page 43 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 7 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.7.1 - Place Value NV 1.7.1.1 - Identify and use place value in mathematical and practical situations. NV 1.7.1.2 - Write, identify, and use powers of 10 from 10 to the -3 power through 10 to the 6th power. NV 1.7.2 - Fractions NV 1.7.2.1 - *Translate among Topic 1 - Number Sense and Obj. 12 - Convert a decimal number fractions, decimals, and percents, Operations to a percentage greater than 100% including fractional percents. Obj. 13 - Convert a percentage to a decimal number greater than 1 Obj. 14 - Convert a decimal number in thousandths to a percentage NV 1.7.3 - Comparing and Ordering NV 1.7.3.1 - *Compare and order a Topic 1 - Number Sense and combination of rational numbers, Operations including fractions, decimals, percents, and integers in mathematical and practical situations. Obj. 15 - Convert a percentage to a decimal number in thousandths Obj. 16 - Convert a mixed number to a percentage Obj. 17 - Convert a percentage to a mixed number Obj. 59 - Compare rational numbers (positive and negative) Obj. 60 - Order rational numbers (positive and negative) - Counting NV 1.7.5 - Facts NV 1.7.5.1 - *Identify absolute values of integers. NV 1.7.6 - Estimating and Estimation Strategies NV 1.7.6.1 - *Generate a reasonable estimate for a computation using a variety of methods. Page 44 of 112 Topic 1 - Number Sense and Operations Obj. 33 - Evaluate the absolute value of an integer Topic 1 - Number Sense and Operations Obj. 54 - Estimate the product of a fraction and a whole number *State-Assessed Standards 083109 Accelerated Math Grade 7 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 55 - Estimate the quotient of a whole number divided by a fraction NV 1.7.6.2 - *Select and round to the appropriate significant digit. NV 1.7.7 - Computation NV 1.7.7.1 - *Calculate with integers Topic 1 - Number Sense and and other rational numbers to solve Operations mathematical and practical situations. Obj. 56 - WP: Estimate the result of dividing or multiplying a whole number by a fraction Obj. 18 - Determine a percent of a whole number using less than 100% Obj. 19 - Determine a percent of a whole number using more than 100% Obj. 20 - Determine the percent a whole number is of another whole number, with a result less than 100% Obj. 21 - Determine a whole number given a part and a percentage less than 100% Obj. 22 - WP: Determine a percent of a whole number using less than 100% Obj. 23 - WP: Determine the percent a whole number is of another whole number, with a result less than 100% Obj. 24 - WP: Determine a whole number given a part and a percentage Obj. 25 - WP: Determine the percent of decrease applied to a number Obj. 26 - WP: Determine the percent of increase applied to a number Obj. 27 - WP: Determine the result of applying a percent of decrease to a value Obj. 28 - WP: Determine the result of applying a percent of increase to a value Obj. 29 - WP: Answer a question involving a fraction and a percent Obj. 30 - WP: Answer a question involving a fraction and a decimal Obj. 31 - WP: Solve a multi-step problem involving decimal numbers Page 45 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 7 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 32 - WP: Solve a multi-step problem involving fractions or mixed numbers Obj. 35 - Add integers using a number line Obj. 36 - Add integers using a model NV 1.7.7.2 - *Use order of operations Topic 1 - Number Sense and to evaluate expressions and solve Operations one-step equations (containing rational numbers). NV 1.7.8 - Solving Problems and Number Theory NV 1.7.8.1 - *Identify and apply the distributive, commutative, and associative properties of rational numbers to solve problems. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.7.1 - Patterns NV 2.7.1.1 - *Use and create tables, Topic 2 - Algebra charts, and graphs to extend a pattern in order to describe a linear rule, including integer values. Obj. 37 - Add integers Obj. 38 - Subtract integers using a number line Obj. 39 - Subtract integers Obj. 40 - WP: Add and subtract using integers Obj. 41 - Multiply integers Obj. 42 - Divide integers Obj. 43 - WP: Multiply or divide integers Obj. 11 - Evaluate a numerical expression, with parentheses and exponents, using order of operations Obj. 68 - Use a variable expression with two operations to represent a table of paired numbers NV 2.7.2 - Variables and Unknowns NV 2.7.2.1 - *Evaluate formulas and algebraic expressions for given integer values. Page 46 of 112 Topic 2 - Algebra *State-Assessed Standards Obj. 61 - Evaluate a rational expression involving variables with two or more terms in the numerator or denominator 083109 Accelerated Math Grade 7 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 62 - Evaluate a 1-variable expression, with two or three operations, using integer substitution Obj. 63 - Evaluate a 2-variable expression, with two or three operations, using integer substitution NV 2.7.2.2 - *Solve and graphically Topic 2 - Algebra represent equations and inequalities in one variable with integer solutions. Obj. 65 - WP: Evaluate a variable expression Obj. 73 - Solve a 1-step linear equation involving integers Obj. 74 - Solve a 2-step linear equation involving integers Obj. 76 - Determine the graph of an inequality on a number line Obj. 77 - Determine some solutions to a 1-variable linear inequality Obj. 78 - Solve a 1-step linear inequality Obj. 79 - Determine the graph of the solution set of a 1-step linear inequality NV 2.7.3 - Number Sentences, Expressions, and Polynomials NV 2.7.3.1 - Simplify algebraic expressions by combining like terms. NV 2.7.4 - Relations and Functions NV 2.7.4.1 - *Generate and graph a set of ordered pairs to represent a linear equation. Topic 2 - Algebra Obj. 82 - Use a graph to represent the ordered pairs in a function table Obj. 83 - Determine the graph of a 1operation linear function NV 2.7.5 - Linear Equations and Inequalities NV 2.7.5.1 - *Identify linear equations and inequalities. NV 2.7.5.2 - *Model and solve equations using concrete and visual representations. - Algebraic Representations and Applications Page 47 of 112 Obj. 81 - Use a table to represent a linear function *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.7.1 - Comparison, Estimation, and Conversion NV 3.7.1.1 - *Estimate and compare corresponding units of measure for area and volume/capacity between customary and metric systems. Topic 3 - Geometry and Measurement Grade 7 Obj. 113 - Determine approximate conversions between metric and customary units of capacity NV 3.7.2 - Precision in Measurements NV 3.7.2.1 - Given a measurement, identify the greatest possible error. NV 3.7.3 - Formulas NV 3.7.3.1 - *Select, model, and Topic 3 - Geometry and apply formulas to find the volume and Measurement surface area of solid figures. NV 3.7.4 - Money NV 3.7.4.1 - *Calculate simple interest in monetary problems. NV 3.7.5 - Ratios and Proportions NV 3.7.5.1 - *Write and apply proportions to solve mathematical and practical problems involving measurement and monetary conversions. Page 48 of 112 Obj. 93 - Determine the volume of a rectangular or a triangular prism Obj. 94 - Determine the volume of a cylinder Obj. 95 - WP: Determine the volume of a cylinder Obj. 96 - WP: Solve a problem involving the volume of a geometric solid Obj. 97 - Determine the surface area of a 3-dimensional shape given a net Obj. 98 - Determine the surface area of a triangular prism Obj. 99 - Determine the surface area of a cylinder Obj. 100 - WP: Determine the surface area of a geometric solid Topic 1 - Number Sense and Operations *State-Assessed Standards Obj. 46 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 083109 Accelerated Math Grade 7 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 47 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 Topic 2 - Algebra Obj. 70 - Solve a proportion involving decimals Obj. 71 - WP: Solve a proportion Topic 3 - Geometry and Measurement Obj. 121 - Determine the coordinates of a translated, a rotated, or a reflected shape on the Cartesian plane Obj. 117 - Determine the location of a simple shape on the Cartesian plane given the coordinates of its vertices NV 3.7.6 - Time NV 3.7.6.1 - *Use elapsed time to solve practical problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.7.1 - Two - Dimensional Shapes NV 4.7.1.1 - *Identify, classify, compare, and draw regular and irregular polygons. NV 4.7.1.2 - *Find and verify the sum of the measures of interior angles of triangles and quadrilaterals. NV 4.7.2 - Congruence, Similarity, and Transformations NV 4.7.2.1 - Make scale drawings using ratios and proportions. NV 4.7.3 - Coordinate Geometry and Lines of Symmetry NV 4.7.3.1 - *Demonstrate translation, reflection, and rotation using coordinate geometry and models. NV 4.7.3.2 - *Describe the location of the original figure and its transformation on a coordinate plane. Topic 3 - Geometry and Measurement NV 4.7.4 - Three - Dimensional Figures NV 4.7.4.1 - Make a model of a three- Topic 3 - Geometry and dimensional figure from a twoMeasurement dimensional drawing. NV 4.7.4.2 - Make a two-dimensional drawing of a three-dimensional figure. Obj. 124 - Relate a 3-dimensional shape to its top and side views NV 4.7.5 - Algebraic Connections Page 49 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.7.5.1 - *Determine slope of a line, midpoint of a segment, and the horizontal and vertical distance between two points using coordinate geometry. NV 4.7.6 - Lines, Angles, and Their Properties NV 4.7.6.1 - *Describe the geometric relationships of parallel lines, perpendicular lines, triangles, quadrilaterals and bisectors. NV 4.7.7 - Triangles NV 4.7.7.1 - *Model the Pythagorean Theorem and solve for the hypotenuse. NV 4.7.8 - Constructions NV 4.7.8.1 - Construct and identify congruent angles, parallel lines, and perpendicular lines. NV 4.7.9 - Logic NV 4.7.9.1 - Make and test conjectures to explain observed mathematical relationships and to develop logical arguments to justify conclusions. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.7.1 - Data Collection and Organization NV 5.7.1.1 - *Formulate questions that guide the collection of data. NV 5.7.1.2 - *Organize, display, and Topic 4 - Data Analysis, read data using the appropriate Statistics, and Probability graphical representations (with and without technology). Obj. 126 - Use a circle graph to represent percentage data Obj. 127 - Use a histogram to represent data Obj. 129 - Read a double stem-andleaf plot NV 5.7.2 - Central Tendency and Data Distribution Page 50 of 112 Grade 7 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 7, Accelerated Math Second Edition Grade 7 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.7.2.1 - *Interpret graphical representations of data to describe patterns, trends, and data distribution. NV 5.7.3 - Interpretation of Data NV 5.7.3.1 - Analyze the effect a change of scale will have on statistical charts and graphs. NV 5.7.4 - Permutations and Combinations NV 5.7.4.1 - *Find the number of permutations possible for an event in mathematical and practical situations. Grade 7 NV 5.7.5 - Experimental and Theoretical Probability NV 5.7.5.1 - *Find the theoretical probability of an event using different counting methods including sample spaces and compare that probability with experimental results. NV 5.7.5.2 - *Represent the probability of an event as a number between 0 and 1. NV 5.7.6 - Statistical Inferences NV 5.7.6.1 - *Interpolate and extrapolate from data to make predictions for a given set of data. Page 51 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.8.1 - Place Value NV 1.8.1.1 - *Represent numbers Topic 1 - Number Sense and Obj. 4 - Convert a number less than using scientific notation in Operations 1 to scientific notation mathematical and practical situations. NV 1.8.2 - Fractions NV 1.8.2.1 - *Translate among fractions, decimals, and percents, including percents greater than 100 and percents less than 1. NV 1.8.2.2 - *Explain and use the relationship among equivalent representations of rational numbers in mathematical and practical situations. Obj. 5 - Convert a number less than 1 from scientific notation to standard form Topic 1 - Number Sense and Operations Obj. 17 - Convert a repeating decimal to a fraction or a mixed number Topic 1 - Number Sense and Operations Obj. 21 - Determine a percent of a number given a percent that is not a whole percent Obj. 22 - Determine the percent one number is of another number Obj. 23 - Determine a number given a part and a decimal percentage or a percentage more than 100% Obj. 24 - WP: Determine a given percent of a number Obj. 25 - WP: Determine the percent one number is of another number Obj. 26 - WP: Determine a number given a part and a decimal percentage or a percentage more than 100% Obj. 27 - Solve a problem involving simple interest Obj. 28 - Solve a problem involving annually compounded interest Obj. 29 - WP: Find the result of two consecutive percentage changes applied to a given number NV 1.8.3 - Comparing and Ordering Page 52 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.8.3.1 - *Compare and order real Topic 1 - Number Sense and Obj. 19 - Compare rational numbers numbers, including powers of whole Operations and/or irrational numbers in various numbers in mathematical and forms practical situations. Obj. 20 - Order rational numbers and irrational numbers - Counting NV 1.8.5 - Facts NV 1.8.5.1 - *Identify perfect squares Topic 1 - Number Sense and Obj. 13 - Determine both square to 225 and their corresponding Operations roots of a perfect square square roots. NV 1.8.6 - Estimating and Estimation Strategies NV 1.8.6.1 - *Use estimation Topic 1 - Number Sense and Obj. 30 - WP: Estimate a given strategies to determine the Operations percent of a number reasonableness of an answer in mathematical and practical situations. NV 1.8.7 - Computation NV 1.8.7.1 - *Calculate with real numbers to solve mathematical and practical situations. Topic 1 - Number Sense and Operations Obj. 6 - Add or subtract signed fractions or mixed numbers Obj. 7 - Multiply or divide signed fractions or mixed numbers Obj. 8 - Add or subtract signed decimals Obj. 9 - Multiply or divide signed decimals Obj. 21 - Determine a percent of a number given a percent that is not a whole percent Obj. 22 - Determine the percent one number is of another number Obj. 23 - Determine a number given a part and a decimal percentage or a percentage more than 100% Obj. 24 - WP: Determine a given percent of a number Obj. 25 - WP: Determine the percent one number is of another number Obj. 26 - WP: Determine a number given a part and a decimal percentage or a percentage more than 100% Obj. 27 - Solve a problem involving simple interest Obj. 28 - Solve a problem involving annually compounded interest Page 53 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 29 - WP: Find the result of two consecutive percentage changes applied to a given number NV 1.8.7.2 - *Use order of operations Topic 1 - Number Sense and Obj. 3 - Evaluate a numerical to solve equations in the real number Operations expression involving integer system. exponents and/or integer bases Obj. 10 - Evaluate a numerical expression involving nested parentheses NV 1.8.8 - Solving Problems and Number Theory NV 1.8.8.1 - Identify and apply the identity property, inverse property, and the absolute value of real numbers to solve problems. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.8.1 - Patterns NV 2.8.1.1 - *Find the missing term in a numerical sequence or a pictorial representation of a sequence. NV 2.8.2 - Variables and Unknowns NV 2.8.2.1 - *Evaluate formulas and algebraic expressions using rational numbers (with and without technology). NV 2.8.2.2 - *Solve and graphically represent equations and inequalities in one variable, including absolute value. Page 54 of 112 Topic 2 - Algebra Topic 2 - Algebra Obj. 31 - Evaluate a 2-variable expression with two or three operations substituting fractions or decimals Obj. 37 - Solve a 1-step equation involving rational numbers Obj. 38 - Solve a 2-step equation involving rational numbers Obj. 41 - WP: Solve a problem involving a 1-variable, 2-step equation Obj. 52 - Solve a 2-step linear inequality in one variable Obj. 54 - WP: Solve a problem involving a 2-step linear inequality in one variable *State-Assessed Standards 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 55 - Determine the graph of the solutions to a 2-step linear inequality in one variable NV 2.8.3 - Number Sentences, Expressions, and Polynomials NV 2.8.3.1 - *Add and subtract binomials. NV 2.8.4 - Relations and Functions NV 2.8.4.1 - *Identify, model, Topic 2 - Algebra Obj. 42 - Determine the graph of a describe, and evaluate functions (with line for a given table of values and without technology). Obj. 44 - Determine a linear equation in two variables that represents a table of values Obj. 45 - Determine the graph of a 2operation linear function NV 2.8.4.2 - *Translate among verbal Topic 2 - Algebra Obj. 39 - WP: Use a 1-variable descriptions, graphic, tabular, and equation with rational coefficients to algebraic representations of represent a situation involving two mathematical situations (with and operations without technology). Obj. 40 - WP: Use a 2-variable equation with rational coefficients to represent a situation Obj. 42 - Determine the graph of a line for a given table of values Obj. 43 - Determine the table of values that represents a linear equation with rational coefficients in two variables Obj. 44 - Determine a linear equation in two variables that represents a table of values Obj. 45 - Determine the graph of a 2operation linear function Obj. 50 - WP: Determine a linear graph that can represent a situation NV 2.8.5 - Linear Equations and Inequalities NV 2.8.5.1 - *Solve linear equations and represent the solution graphically. Page 55 of 112 Obj. 53 - WP: Use a 2-step linear inequality in one variable to represent a situation Obj. 55 - Determine the graph of the solutions to a 2-step linear inequality in one variable Topic 2 - Algebra *State-Assessed Standards Obj. 37 - Solve a 1-step equation involving rational numbers Obj. 38 - Solve a 2-step equation involving rational numbers 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 41 - WP: Solve a problem involving a 1-variable, 2-step equation NV 2.8.5.2 - *Solve inequalities and Topic 2 - Algebra Obj. 52 - Solve a 2-step linear represent the solution on a number inequality in one variable line. Obj. 54 - WP: Solve a problem involving a 2-step linear inequality in one variable Obj. 55 - Determine the graph of the solutions to a 2-step linear inequality in one variable NV 2.8.6 - Algebraic Representations and Applications NV 2.8.6.1 - *Describe how changes in the value of one variable affect the values of the remaining variables in a relation. NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.8.1 - Comparison, Estimation, and Conversion NV 3.8.1.1 - *Estimate and convert units of measure for mass and capacity within the same measurement system (customary and metric). NV 3.8.2 - Precision in Measurements NV 3.8.2.1 - *Demonstrate an understanding of precision, error, and tolerance when using appropriate measurement tools. NV 3.8.3 - Formulas NV 3.8.3.1 - *Identify how changes in a dimension of a figure effect changes in its perimeter, area and volume. NV 3.8.4 - Money NV 3.8.4.1 - *Calculate percents in monetary problems. NV 3.8.5 - Ratios and Proportions Page 56 of 112 *State-Assessed Standards 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.8.5.1 - *Apply ratios and Topic 3 - Geometry and Obj. 57 - WP: Solve a distance-rateproportions to calculate rates and Measurement time problem that involves unit solve mathematical and practical conversions problems using indirect measure. Obj. 67 - Determine a measure of length, weight or mass, or capacity or volume using proportional relationships Obj. 70 - WP: Solve a problem involving scale - Time NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.8.1 - Two - Dimensional Shapes NV 4.8.1.1 - *Find and use the sum of the measures of interior angles of polygons. NV 4.8.2 - Congruence, Similarity, and Transformations NV 4.8.2.1 - *Apply the properties of equality and proportionality to congruent or similar shapes. NV 4.8.3 - Coordinate Geometry and Lines of Symmetry NV 4.8.3.1 - *Demonstrate dilation using coordinate geometry and models. NV 4.8.3.2 - *Describe the relationship between an original figure and its transformation or dilation. - Three - Dimensional Figures NV 4.8.5 - Algebraic Connections NV 4.8.5.1 - *Calculate slope, Topic 2 - Algebra midpoint, and distance using equations and formulas (with and without technology). NV 4.8.5.2 - *Determine the x- and y- Topic 2 - Algebra intercepts of a line. Page 57 of 112 *State-Assessed Standards Obj. 46 - Determine the slope of a line given its graph or a graph of a line with a given slope Obj. 48 - WP: Interpret the meaning of the slope of a graphed line Obj. 47 - Determine the x- or yintercept of a line given its graph Obj. 49 - WP: Interpret the meaning of the y-intercept of a graphed line 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.8.6 - Lines, Angles, and Their Properties NV 4.8.6.1 - *Form generalizations and validate conclusions about geometric figures and their properties. NV 4.8.7 - Triangles NV 4.8.7.1 - *Verify and explain the Pythagorean Theorem using a variety of methods. NV 4.8.7.2 - *Determine the measure Topic 3 - Geometry and Obj. 71 - Determine the length of the of the missing side of a right triangle. Measurement hypotenuse of a right triangle using the Pythagorean theorem Obj. 72 - Determine the length of a leg of a right triangle using the Pythagorean theorem Obj. 73 - WP: Use the Pythagorean theorem to find a length or a distance NV 4.8.8 - Constructions NV 4.8.8.1 - Construct geometric figures using a variety of tools. NV 4.8.9 - Logic NV 4.8.9.1 - Represent logical relationships using conditional statements. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.8.1 - Data Collection and Organization NV 5.8.1.1 - *Formulate questions and design a study that guides the collection of data. NV 5.8.1.2 - *Organize, display, and read data including box and whisker plots (with and without technology). Page 58 of 112 Obj. 74 - Determine a distance on the Cartesian plane using the Pythagorean theorem Topic 4 - Data Analysis, Statistics, and Probability *State-Assessed Standards Obj. 76 - Use a circle graph to organize data Obj. 77 - Use a scatter plot to organize data Obj. 82 - Read a box-and-whisker plot Obj. 83 - Use a box-and-whisker plot to organize data 083109 Accelerated Math Grade 8 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grade 8, Accelerated Math Second Edition Grade 8 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 87 - Use a Venn diagram to organize summarized data NV 5.8.2 - Central Tendency and Data Distribution NV 5.8.2.1 - *Select and apply appropriate measures of data distribution, using interquartile range and central tendency. NV 5.8.3 - Interpretation of Data NV 5.8.3.1 - *Evaluate statistical arguments that are based on data analysis for accuracy and validity. NV 5.8.4 - Permutations and Combinations NV 5.8.4.1 - *Find the number of Topic 4 - Data Analysis, Obj. 95 - Determine the number of combinations possible in Statistics, and Probability combinations possible in a given mathematical and practical situations. situation NV 5.8.4.2 - *Distinguish between permutations and combinations. NV 5.8.5 - Experimental and Theoretical Probability NV 5.8.5.1 - *Differentiate between the probability of an event and the odds of an event. NV 5.8.6 - Statistical Inferences NV 5.8.6.1 - *Formulate reasonable inferences and predictions through interpolation and extrapolation of data to solve practical problems. Page 59 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving strategies until a solution is found or it is clear that no solution exists NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness of a solution NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques Topic 4 - Systems of Linear to solve mathematical problems Equations and Inequalities Topic 8 - Quadratic Equations and Functions Obj. 51 - WP: Solve a mixture problem that can be represented by a system of linear equations Obj. 52 - WP: Solve a motion problem that can be represented by a system of linear equations Obj. 94 - WP: Use a given quadratic equation to solve a problem NV B.2 - Evaluate written and oral presentations in mathematics. Page 60 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV B.3 - Model and explain mathematical relationships using oral, written, graphic, and algebraic methods NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply deductive and inductive reasoning NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an argument NV C.5 - Construct a valid argument NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems Page 61 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV D.4 - Apply mathematical thinking Topic 4 - Systems of Linear Obj. 51 - WP: Solve a mixture and modeling to solve problems that Equations and Inequalities problem that can be represented by a arise in other disciplines, such as system of linear equations rhythm in music and motion in science Obj. 52 - WP: Solve a motion problem that can be represented by a system of linear equations NV D.5 - Identify, explain, and apply mathematics in everyday life NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical Topic 1 - Numbers and Obj. 4 - Evaluate a fraction raised to problems involving exponents and Operations an integer power roots. Obj. 5 - Evaluate a numerical expression involving one or more exponents and multiple forms of rational numbers Topic 5 - Properties of Powers Obj. 58 - Apply the product of powers property to a monomial numerical expression Obj. 60 - Apply the power of a power property to a monomial numerical expression Obj. 63 - Apply the quotient of powers property to monomial numerical expressions Topic 10 - Radical Expressions Obj. 98 - Simplify a monomial numerical expression involving the square root of a whole number Obj. 99 - Multiply monomial numerical expressions involving radicals Obj. 100 - Divide monomial numerical expressions involving radicals Page 62 of 112 083109 *State-Assessed Standards Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 101 - Add and/or subtract numerical radical expressions Obj. 102 - Multiply a binomial numerical radical expression by a numerical radical expression Obj. 103 - Rationalize the denominator of a numerical radical expression NV 1.12.7.2 - *Perform addition, subtraction, and scalar multiplication on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real Topic 1 - Numbers and Obj. 1 - Evaluate a numerical number properties to solve problems. Operations expression involving multiple forms of rational numbers Obj. 3 - Evaluate a multi-step numerical expression involving absolute value NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.12.1 - Patterns NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. NV 2.12.2 - Variables and Unknowns NV 2.12.2.1 - *Isolate any variable in Topic 3 - Linear Equations and given equations, inequalities, Inequalities proportions, and formulas to use in mathematical and practical situations. Obj. 24 - Rewrite an equation to solve for a specified variable NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, Topic 6 - Polynomial Expressions Obj. 69 - Simplify a polynomial and factor 1st and 2nd degree expression by combining like terms polynomials connecting the arithmetic and algebraic processes. Obj. 73 - Multiply two binomials of the form (x +/- a)(x +/- b) Page 63 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 74 - Multiply two binomials of the form (ax +/- b)(cx +/- d) Obj. 75 - Multiply two binomials of the form (ax +/- by)(cx +/- dy) Obj. 76 - Square a binomial Topic 7 - Factor Algebraic Obj. 80 - Factor trinomials that result Expressions in factors of the form (x +/- a)(x +/- b) NV 2.12.3.2 - *Simplify algebraic Topic 5 - Properties of Powers expressions, including exponents and radicals. Topic 10 - Radical Expressions NV 2.12.4 - Relations and Functions Page 64 of 112 *State-Assessed Standards Obj. 81 - Factor trinomials that result in factors of the form (ax +/- b)(cx +/d) Obj. 82 - Factor trinomials that result in factors of the form (ax +/- by)(cx +/dy) Obj. 83 - Factor the difference of two squares Obj. 84 - Factor a perfect-square trinomial Obj. 59 - Apply the product of powers property to a monomial algebraic expression Obj. 61 - Apply the power of a power property to a monomial algebraic expression Obj. 62 - Apply the power of a product property to a monomial algebraic expression Obj. 64 - Apply the quotient of powers property to monomial algebraic expressions Obj. 65 - Apply the power of a quotient property to monomial algebraic expressions Obj. 67 - Apply properties of exponents to monomial algebraic expressions Obj. 104 - Simplify a monomial algebraic radical expression Obj. 105 - Rationalize the denominator of an algebraic radical expression Obj. 106 - Add or subtract algebraic radical expressions Obj. 107 - Multiply monomial algebraic radical expressions Obj. 108 - Divide monomial algebraic radical expressions 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.12.4.1 - *Determine the domain Topic 2 - Relations and Obj. 9 - Determine the domain or and range of functions, including Functions range of a function linear, quadratic, and absolute value, algebraically and graphically. NV 2.12.4.2 - *Solve absolute value equations and inequalities both algebraically and graphically. NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). Topic 3 - Linear Equations and Inequalities Obj. 37 - Determine the graph of a 2variable absolute value equation Obj. 43 - Solve a 1-variable absolute value inequality Obj. 44 - Determine the graph of a 1variable absolute value inequality Topic 4 - Systems of Linear Equations and Inequalities NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical Topic 3 - Linear Equations and and practical problems involving Inequalities linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). Page 65 of 112 Obj. 10 - WP: Determine a reasonable domain or range for a function in a given situation Obj. 20 - Solve a 1-variable absolute value equation *State-Assessed Standards Obj. 45 - Solve a system of linear equations in two variables by graphing Obj. 46 - Solve a system of linear equations in two variables by substitution Obj. 47 - Solve a system of linear equations in two variables by elimination Obj. 49 - Solve a system of linear equations in two variables using any method Obj. 51 - WP: Solve a mixture problem that can be represented by a system of linear equations Obj. 52 - WP: Solve a motion problem that can be represented by a system of linear equations Obj. 53 - Solve a number problem that can be represented by a linear system of equations Obj. 14 - Solve a 1-variable linear equation that requires simplification and has the variable on one side Obj. 15 - Solve a 1-variable linear equation with the variable on both sides 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 16 - WP: Determine a linear equation that can be used to solve a percent problem Topic 8 - Quadratic Equations Obj. 88 - Solve a quadratic equation and Functions by graphing the associated quadratic function Obj. 89 - Solve a quadratic equation by taking the square root Obj. 91 - Solve a quadratic equation by factoring Obj. 92 - Solve a quadratic equation using the quadratic formula Obj. 94 - WP: Use a given quadratic equation to solve a problem NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.12.1 - Comparison, Estimation, and Conversion NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions Page 66 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.12.5.1 - *Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the parts of a circle to solve mathematical and practical problems. NV 4.12.1.2 - *Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems. NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of similarity through right triangle trigonometry to find missing angles and sides. NV 4.12.5 - Algebraic Connections NV 4.12.5.1 - *Determine the slope of Topic 3 - Linear Equations and lines using coordinate geometry and Inequalities algebraic techniques. NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations and find possible solutions to those equations using coordinate geometry. Topic 3 - Linear Equations and Inequalities Topic 3 - Linear Equations and Inequalities Obj. 27 - Determine the slope of a line given an equation of the line Obj. 35 - Determine if two lines are perpendicular or parallel given the equations of the lines Obj. 29 - Determine the graph of a line using given information Obj. 30 - Determine the graph of a linear equation given in slopeintercept, point-slope, or standard form NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. Page 67 of 112 Obj. 26 - Determine the slope of a line given two points on the line *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. NV 4.12.7 - Triangles NV 4.12.7.1 - *Apply the Pythagorean Theorem and its converse in mathematical and practical situations. NV 4.12.8 - Constructions NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization NV 5.12.1.1 - *Organize statistical data through the use of tables, graphs, and matrices (with and without technology). NV 5.12.2 - Central Tendency and Data Distribution NV 5.12.2.1 - *Select and apply appropriate statistical measures in mathematical and practical situations. NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a sample and a census. NV 5.12.3.2 - *Identify sources of bias and their effect on data representations and statistical conclusions. Page 68 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Algebra 1 Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle. NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the probability of an event with and without replacement using sample spaces. NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 69 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving strategies until a solution is found or it is clear that no solution exists NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness of a solution NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques to solve mathematical problems NV B.2 - Evaluate written and oral presentations in mathematics. NV B.3 - Model and explain mathematical relationships using oral, written, graphic, and algebraic methods NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving Page 70 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply Topic 4 - Congruent Triangles Obj. 24 - Identify congruent triangles deductive and inductive reasoning using triangle congruence postulates or theorems Topic 6 - Similarity Obj. 38 - Identify similar triangles using triangle similarity postulates or theorems NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an Topic 4 - Congruent Triangles Obj. 23 - Identify a triangle argument congruence postulate that justifies a congruence statement Topic 6 - Similarity Obj. 37 - Identify a triangle similarity postulate that justifies a similarity statement NV C.5 - Construct a valid argument NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems Page 71 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV D.4 - Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science NV D.5 - Identify, explain, and apply Topic 3 - Relationships Within Obj. 21 - WP: Determine a length or mathematics in everyday life Triangles an angle measure using triangle relationships Topic 5 - Quadrilaterals and Obj. 32 - WP: Solve a problem using Other Polygons the properties of angles and/or sides of polygons Topic 6 - Similarity Obj. 43 - WP: Determine a length using similarity Topic 7 - Right Triangles and Obj. 47 - WP: Determine a length Trigonometry using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangle Obj. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theorem Obj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratio Obj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio Topic 9 - Area Obj. 72 - WP: Solve a problem involving the area of a quadrilateral Obj. 79 - WP: Solve a problem involving the area of a complex shape formed by circles and polygons Obj. 83 - WP: Determine a length or an area involving a sector of a circle Topic 10 - Surface Area and Volume Obj. 96 - WP: Solve a problem involving the surface area of a sphere Obj. 100 - WP: Determine the volume of a sphere or hemisphere Obj. 102 - WP: Solve a problem involving the volume of a complex solid figure Obj. 106 - WP: Solve a problem involving two solid figures that have the same surface area or volume Page 72 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical problems involving exponents and roots. NV 1.12.7.2 - *Perform addition, subtraction, and scalar multiplication on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real number properties to solve problems. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.12.1 - Patterns NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. NV 2.12.2 - Variables and Unknowns NV 2.12.2.1 - *Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations. Page 73 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. NV 2.12.3.2 - *Simplify algebraic expressions, including exponents and radicals. NV 2.12.4 - Relations and Functions NV 2.12.4.1 - *Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically. NV 2.12.4.2 - *Solve absolute value equations and inequalities both algebraically and graphically. NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.12.1 - Comparison, Estimation, and Conversion NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements Page 74 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use Topic 1 - Basic Concepts of Obj. 7 - Determine the area of a right appropriate measurement tools, Geometry triangle or a rectangle given the techniques, and formulas to solve coordinates of the vertices of the problems in mathematical and figure practical situations. Obj. 8 - Solve a problem involving the midpoint formula Topic 5 - Quadrilaterals and Obj. 31 - Determine a length or an Other Polygons angle measure in a complex figure using properties of polygons Topic 7 - Right Triangles and Obj. 44 - Determine a length in a Trigonometry complex figure using the Pythagorean theorem Obj. 46 - Solve a problem using multiple non-trigonometric righttriangle relationships Obj. 47 - WP: Determine a length using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangle Obj. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theorem Obj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratio Obj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio Topic 9 - Area Obj. 79 - WP: Solve a problem involving the area of a complex shape formed by circles and polygons Obj. 83 - WP: Determine a length or an area involving a sector of a circle Topic 10 - Surface Area and Volume Obj. 85 - Solve a problem involving regular polygons and/or circles that have the same area or perimeter Obj. 96 - WP: Solve a problem involving the surface area of a sphere Obj. 97 - Determine the surface area of a complex solid figure Page 75 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 98 - Solve a problem involving the surface area of a complex solid figure Obj. 100 - WP: Determine the volume of a sphere or hemisphere Obj. 101 - Determine the volume of a complex solid figure Obj. 102 - WP: Solve a problem involving the volume of a complex solid figure Obj. 106 - WP: Solve a problem involving two solid figures that have the same surface area or volume NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions NV 3.12.5.1 - *Determine the Topic 2 - Parallel and Obj. 12 - Determine the measure of measure of unknown dimensions, Perpendicular lines an angle in a figure involving parallel angles, areas, and volumes using and/or perpendicular lines relationships and formulas to solve problems. Topic 3 - Relationships Within Obj. 16 - Determine the measure of Triangles an angle using angle relationships and the sum of the interior angles in a triangle Topic 8 - Circles Obj. 65 - Determine a length using intersecting chords, two secants that intersect outside a circle, or a tangent and a secant that intersect outside a circle Topic 9 - Area Obj. 80 - Determine the area of a sector of a circle Obj. 83 - WP: Determine a length or an area involving a sector of a circle Topic 10 - Surface Area and Volume Page 76 of 112 *State-Assessed Standards Obj. 84 - Determine the measure of an arc or an angle given the area of a sector of a circle Obj. 103 - Solve a problem involving the surface areas of similar solid figures Obj. 104 - Solve a problem involving the volumes of similar solid figures 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the Topic 8 - Circles Obj. 54 - Determine the measure of parts of a circle to solve an arc or a central angle using the mathematical and practical problems. relationship between the arc and the central angle Obj. 55 - Solve a problem involving the length of an arc Obj. 59 - Determine a length or an arc measure using the properties of congruent chords Obj. 60 - Determine a length using a perpendicular bisector of a chord Obj. 61 - Determine the measure of an arc or an angle using the relationship between an inscribed angle and its intercepted arc Obj. 63 - Determine the measure of an arc or an angle formed by intersecting chords or a chord that intersects a tangent to a circle NV 4.12.1.2 - *Identify and apply Topic 3 - Relationships Within Obj. 15 - Determine the measure of properties of interior and exterior Triangles an angle using the sum of the interior angles of polygons to solve angles in a triangle mathematical and practical problems. Topic 5 - Quadrilaterals and Other Polygons Page 77 of 112 *State-Assessed Standards Obj. 16 - Determine the measure of an angle using angle relationships and the sum of the interior angles in a triangle Obj. 26 - Determine the measure of an angle or the sum of the angles in a polygon Obj. 27 - Determine a length or an angle measure using general properties of parallelograms Obj. 28 - Determine a length or an angle measure using properties of squares, rectangles, or rhombi Obj. 29 - Determine a length or an angle measure using properties of kites Obj. 30 - Determine a length or an angle measure using properties of trapezoids 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 31 - Determine a length or an angle measure in a complex figure using properties of polygons Obj. 32 - WP: Solve a problem using the properties of angles and/or sides of polygons NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of Topic 6 - Similarity Obj. 34 - Determine the length of a similarity through right triangle side in one of two similar polygons trigonometry to find missing angles and sides. Obj. 35 - Determine the length of a side or the measure of an angle in similar triangles Obj. 36 - Determine a length given the perimeters of similar triangles or the lengths of corresponding interior line segments Obj. 42 - Determine a length using similar triangles formed by the altitude to the hypotenuse of a right triangle Obj. 43 - WP: Determine a length using similarity Topic 7 - Right Triangles and Obj. 50 - Determine a length using a Trigonometry sine, cosine, or tangent ratio in a right triangle Obj. 51 - Determine the measure of an angle using a sine, cosine, or tangent ratio in a right triangle Obj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratio Obj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio NV 4.12.5 - Algebraic Connections NV 4.12.5.1 - *Determine the slope of lines using coordinate geometry and algebraic techniques. NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations and find possible solutions to those equations using coordinate geometry. Page 78 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using Topic 2 - Parallel and complementary and supplementary Perpendicular lines angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. Topic 3 - Relationships Within Triangles Topic 5 - Quadrilaterals and Other Polygons NV 4.12.7 - Triangles NV 4.12.7.1 - *Apply the Pythagorean Topic 7 - Right Triangles and Theorem and its converse in Trigonometry mathematical and practical situations. Obj. 10 - Determine the measure of an angle formed by parallel lines and one or more transversals Obj. 12 - Determine the measure of an angle in a figure involving parallel and/or perpendicular lines Obj. 15 - Determine the measure of an angle using the sum of the interior angles in a triangle Obj. 16 - Determine the measure of an angle using angle relationships and the sum of the interior angles in a triangle Obj. 27 - Determine a length or an angle measure using general properties of parallelograms Obj. 28 - Determine a length or an angle measure using properties of squares, rectangles, or rhombi Obj. 29 - Determine a length or an angle measure using properties of kites Obj. 30 - Determine a length or an angle measure using properties of trapezoids Obj. 31 - Determine a length or an angle measure in a complex figure using properties of polygons Obj. 32 - WP: Solve a problem using the properties of angles and/or sides of polygons Obj. 44 - Determine a length in a complex figure using the Pythagorean theorem Obj. 46 - Solve a problem using multiple non-trigonometric righttriangle relationships Page 79 of 112 *State-Assessed Standards 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description Obj. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theorem Topic 8 - Circles Obj. 56 - Determine the length of a line segment, the measure of an angle, or the measure of an arc using a tangent to a circle Obj. 57 - Determine a length using a line segment tangent to a circle and the radius that intersects the tangent Topic 9 - Area NV 4.12.8 - Constructions NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, Topic 4 - Congruent Triangles and justify arguments using inductive and deductive reasoning in mathematical and practical situations. Topic 6 - Similarity NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization NV 5.12.1.1 - *Organize statistical data through the use of tables, graphs, and matrices (with and without technology). NV 5.12.2 - Central Tendency and Data Distribution Page 80 of 112 *State-Assessed Standards Obj. 60 - Determine a length using a perpendicular bisector of a chord Obj. 72 - WP: Solve a problem involving the area of a quadrilateral Obj. 74 - Determine the area of a regular polygon Obj. 77 - Approximate the area of a regular polygon using trigonometry Obj. 23 - Identify a triangle congruence postulate that justifies a congruence statement Obj. 37 - Identify a triangle similarity postulate that justifies a similarity statement 083109 Accelerated Math Grades 9 - 12 Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Second Edition Geometry Academic Standards, State Department of Education Standard Topic Description Objective Description NV 5.12.2.1 - *Select and apply appropriate statistical measures in mathematical and practical situations. NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a sample and a census. NV 5.12.3.2 - *Identify sources of bias and their effect on data representations and statistical conclusions. NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle. NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the probability of an event with and without replacement using sample spaces. NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 81 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: Grades 9 - 12 Objective Description NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving Topic 12 - Sequences and Series Obj. 184 - WP: Arithmetic sequences strategies until a solution is found or it is clear that no solution exists Obj. 190 - WP: Geometric sequences NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness Topic 2 - Linear Equations and Obj. 10 - Verify solutions for given of a solution Inequalities equations Topic 4 - Systems of Equations Obj. 44 - Verify ordered pairs are and Inequalities solutions to systems Obj. 49 - Verify ordered triples are solutions to systems NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques to solve mathematical problems NV B.2 - Evaluate written and oral presentations in mathematics. Page 82 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV B.3 - Model and explain Topic 2 - Linear Equations and mathematical relationships using Inequalities oral, written, graphic, and algebraic methods Topic 3 - Relations, Functions, and Graphs NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving Grades 9 - 12 Objective Description Obj. 15 - Translate word phrases to inequalities Obj. 34 - Graph linear equations, ax + by = c Obj. 35 - Graph linear equations, y = ax + b Obj. 40 - WP: Linear equations NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply deductive and inductive reasoning NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an argument NV C.5 - Construct a valid argument NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures Page 83 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems NV D.4 - Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science NV D.5 - Identify, explain, and apply Topic 2 - Linear Equations and mathematics in everyday life Inequalities Topic 4 - Systems of Equations and Inequalities Topic 7 - Quadratic NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical problems involving exponents and roots. NV 1.12.7.2 - *Perform addition, Topic 5 - Matrices and subtraction, and scalar multiplication Determinants on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real number properties to solve problems. Page 84 of 112 *State-Assessed Standards Grades 9 - 12 Objective Description Obj. 12 - WP: Solve linear equations Obj. 52 - WP: Solve systems, motion and distance problems Obj. 53 - WP: Solve systems, age problems Obj. 54 - WP: Solve systems, coin problems Obj. 55 - WP: Solve systems, mixture and investment problems Obj. 103 - WP: Other problems using quadratic equations Obj. 58 - Matrices, multiply by a constant (2 x 2) Obj. 59 - Matrices, sums and differences (3 x 3) 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 2.0 - Students will use various Topic 4 - Systems of Equations algebraic methods to analyze, and Inequalities illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.12.1 - Patterns NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. Grades 9 - 12 Objective Description Obj. 51 - WP: Solve systems, number problems Obj. 52 - WP: Solve systems, motion and distance problems Obj. 53 - WP: Solve systems, age problems Obj. 54 - WP: Solve systems, coin problems Topic 12 - Sequences and Series Obj. 181 - Find terms of arith seq (1st term and common diff) Obj. 182 - Find specified term of arithmetic sequence Obj. 184 - WP: Arithmetic sequences Obj. 188 - Find specified term of geo seq given first 3 terms Obj. 189 - Find general terms of geo seq given first 4 terms Obj. 190 - WP: Geometric sequences NV 2.12.2 - Variables and Unknowns NV 2.12.2.1 - *Isolate any variable in Topic 6 - Roots, Radicals, and given equations, inequalities, Complex Numbers proportions, and formulas to use in mathematical and practical situations. NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, Topic 8 - Polynomials and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. Obj. 77 - Solve formulas for specified variables Obj. 113 - Square a binomial, ax + by Obj. 114 - Multiply 2 binomials Obj. 116 - Multiply binomials by trinomials Obj. 123 - Factor difference of squares Page 85 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 2.12.3.2 - *Simplify algebraic Topic 6 - Roots, Radicals, and expressions, including exponents and Complex Numbers radicals. Topic 8 - Polynomials Topic 10 - Rational Expressions and Equations NV 2.12.4 - Relations and Functions NV 2.12.4.1 - *Determine the domain Topic 3 - Relations, Functions, and range of functions, including and Graphs linear, quadratic, and absolute value, algebraically and graphically. NV 2.12.4.2 - *Solve absolute value equations and inequalities both algebraically and graphically. NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). Grades 9 - 12 Objective Description Obj. 71 - Simplify nth roots Obj. 73 - Simplify expressions with rational exponents Obj. 75 - Rationalize denominators Obj. 118 - Simplify polynomial expr using multiplication Obj. 145 - Simplify rational expressions Obj. 146 - Simplify rational expressions by factoring Obj. 27 - Domain and range, functions Topic 2 - Linear Equations and Inequalities Obj. 28 - Domain and range, determine from graphs Obj. 17 - Solve absolute value linear inequalities Topic 4 - Systems of Equations and Inequalities Obj. 44 - Verify ordered pairs are solutions to systems Obj. 45 - Solve systems, substitution Obj. 46 - Solve systems, elimination NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical Topic 2 - Linear Equations and and practical problems involving Inequalities linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). Topic 7 - Quadratic Page 86 of 112 *State-Assessed Standards Obj. 47 - Determine number of solutions for systems Obj. 11 - Solve linear equations Obj. 12 - WP: Solve linear equations Obj. 87 - Solve quad eqns, square root rule (real roots) Obj. 89 - Factor quadratics, real roots Obj. 90 - Factor quadratics, roots with radicals 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.12.1 - Comparison, Estimation, and Conversion NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions NV 3.12.5.1 - *Determine the Topic 7 - Quadratic measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. Page 87 of 112 *State-Assessed Standards Grades 9 - 12 Objective Description Obj. 91 - Quadratic formula, 2 real roots Obj. 101 - WP: Number problems using quadratic equations Obj. 102 - WP: Area and perimeter Obj. 103 - WP: Other problems using quadratic equations Obj. 102 - WP: Area and perimeter 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the parts of a circle to solve mathematical and practical problems. Grades 9 - 12 Objective Description NV 4.12.1.2 - *Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems. NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of similarity through right triangle trigonometry to find missing angles and sides. NV 4.12.5 - Algebraic Connections NV 4.12.5.1 - *Determine the slope of lines using coordinate geometry and algebraic techniques. NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations and find possible solutions to those equations using coordinate geometry. NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. Topic 3 - Relations, Functions, and Graphs Obj. 39 - Find slopes from 2 points Topic 3 - Relations, Functions, and Graphs Obj. 42 - Identify parallel and perpendicular lines Topic 3 - Relations, Functions, and Graphs Obj. 34 - Graph linear equations, ax + by = c Topic 4 - Systems of Equations and Inequalities Obj. 35 - Graph linear equations, y = ax + b Obj. 48 - Graph systems of equations NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. NV 4.12.7 - Triangles NV 4.12.7.1 - *Apply the Pythagorean Topic 7 - Quadratic Theorem and its converse in mathematical and practical situations. NV 4.12.8 - Constructions Page 88 of 112 *State-Assessed Standards Obj. 100 - WP: Pythagorean Theorem 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization NV 5.12.1.1 - *Organize statistical data through the use of tables, graphs, and matrices (with and without technology). NV 5.12.2 - Central Tendency and Data Distribution NV 5.12.2.1 - *Select and apply Topic 14 - Statistics appropriate statistical measures in mathematical and practical situations. NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a sample and a census. NV 5.12.3.2 - *Identify sources of bias and their effect on data representations and statistical conclusions. NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations Topic 13 - Probability and combinations to mathematical and practical situations, including the Fundamental Counting Principle. Grades 9 - 12 Objective Description Obj. 214 - Means, medians, and modes of data sets Obj. 215 - Recognize types of central tendency Obj. 196 - Fundamental Counting Principle Obj. 199 - Permutations Obj. 200 - Combinations Page 89 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Algebra 2 Academic Standards, State Department of Education Standard Topic Description NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the Topic 13 - Probability probability of an event with and without replacement using sample spaces. NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 90 of 112 *State-Assessed Standards Grades 9 - 12 Objective Description Obj. 204 - Probability of independent events Obj. 206 - Probability of dependent events 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: Grades 9 - 12 Objective Description NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving strategies until a solution is found or it is clear that no solution exists NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness of a solution NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques Topic 1 - Review of Fundamental Obj. 25 - Solve direct & indirect to solve mathematical problems Concepts of Algebra variation problems NV B.2 - Evaluate written and oral presentations in mathematics. NV B.3 - Model and explain Topic 1 - Review of Fundamental Obj. 2 - Graph lines mathematical relationships using Concepts of Algebra oral, written, graphic, and algebraic methods NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving Page 91 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply deductive and inductive reasoning NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an argument NV C.5 - Construct a valid argument Grades 9 - 12 Objective Description NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems NV D.4 - Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science NV D.5 - Identify, explain, and apply Topic 1 - Review of Fundamental Obj. 5 - WP: Linear Equations mathematics in everyday life Concepts of Algebra Obj. 15 - WP: Quadratic equations Page 92 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical problems involving exponents and roots. NV 1.12.7.2 - *Perform addition, subtraction, and scalar multiplication on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real number properties to solve problems. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Topic 2 - Polynomials Objective Description Obj. 25 - Solve direct & indirect variation problems Obj. 37 - WP: Quadratic functions Topic 1 - Review of Fundamental Obj. 30 - Solve radical equations Concepts of Algebra Topic 8 - Systems of Linear Equations and Inequalities Obj. 108 - Matrices, multiply by a constant (2 x 2) Topic 9 - Sequences and Series Obj. 124 - Find specified term of arithmetic sequence Obj. 126 - WP: Arithmetic sequences Obj. 130 - Find terms of geo seq (1st term & common ratio) Obj. 131 - Find terms of geo seq given first terms NV 2.12.1 - Patterns Page 93 of 112 Grades 9 - 12 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. Grades 9 - 12 Objective Description NV 2.12.2 - Variables and Unknowns NV 2.12.2.1 - *Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations. NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. NV 2.12.3.2 - *Simplify algebraic Topic 1 - Review of Fundamental Obj. 27 - Simplify expressions w/ expressions, including exponents and Concepts of Algebra rational exponents radicals. Obj. 29 - Simplify radical expressions NV 2.12.4 - Relations and Functions Obj. 32 - Simplify, multiply, & divide rational expressions NV 2.12.4.1 - *Determine the domain Topic 1 - Review of Fundamental Obj. 16 - Domains & range, functions and range of functions, including Concepts of Algebra linear, quadratic, and absolute value, algebraically and graphically. NV 2.12.4.2 - *Solve absolute value equations and inequalities both algebraically and graphically. Topic 1 - Review of Fundamental Obj. 6 - Solve absolute value eqns Concepts of Algebra with 1-variable Obj. 8 - Solve absolute value inequalities NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical Topic 1 - Review of Fundamental Obj. 4 - Solve linear equations and practical problems involving Concepts of Algebra linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). Obj. 5 - WP: Linear Equations Page 94 of 112 083109 *State-Assessed Standards Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Topic 2 - Polynomials Grades 9 - 12 Objective Description Obj. 11 - Solve quad eqns, square root rule Obj. 12 - Solve quad eqns, factor (real roots) Obj. 13 - Solve quad eqns, quadratic formula Obj. 15 - WP: Quadratic equations Obj. 25 - Solve direct & indirect variation problems Obj. 37 - WP: Quadratic functions NV 3.12.1 - Comparison, Estimation, and Conversion NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions NV 3.12.5.1 - *Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. Page 95 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the parts of a circle to solve mathematical and practical problems. Grades 9 - 12 Objective Description NV 4.12.1.2 - *Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems. NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of similarity through right triangle trigonometry to find missing angles and sides. NV 4.12.5 - Algebraic Connections NV 4.12.5.1 - *Determine the slope of lines using coordinate geometry and algebraic techniques. NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations Topic 1 - Review of Fundamental Obj. 2 - Graph lines and find possible solutions to those Concepts of Algebra equations using coordinate geometry. NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. NV 4.12.7 - Triangles Page 96 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 4.12.7.1 - *Apply the Pythagorean Theorem and its converse in mathematical and practical situations. Grades 9 - 12 Objective Description NV 4.12.8 - Constructions NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization NV 5.12.1.1 - *Organize statistical data through the use of tables, graphs, and matrices (with and without technology). NV 5.12.2 - Central Tendency and Data Distribution NV 5.12.2.1 - *Select and apply appropriate statistical measures in mathematical and practical situations. NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a sample and a census. NV 5.12.3.2 - *Identify sources of bias and their effect on data representations and statistical conclusions. NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations Topic 10 - Probability and combinations to mathematical and practical situations, including the Fundamental Counting Principle. Page 97 of 112 *State-Assessed Standards Obj. 137 - Fundamental Counting Principle 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Pre-Calculus Academic Standards, State Department of Education Standard Topic Description NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the probability of an event with and without replacement using sample spaces. Topic 10 - Probability Objective Description Obj. 140 - WP: Permutations Obj. 141 - Find number of distinct arrangements of letters Obj. 143 - WP: Combinations Obj. 145 - Probability of independent events Obj. 147 - Probability of dependent events NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 98 of 112 Grades 9 - 12 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: Grades 9 - 12 Objective Description NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving strategies until a solution is found or it is clear that no solution exists NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness of a solution NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques to solve mathematical problems NV B.2 - Evaluate written and oral presentations in mathematics. NV B.3 - Model and explain mathematical relationships using oral, written, graphic, and algebraic methods NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving Page 99 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply deductive and inductive reasoning NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an argument NV C.5 - Construct a valid argument Grades 9 - 12 Objective Description NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems NV D.4 - Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science NV D.5 - Identify, explain, and apply mathematics in everyday life Page 100 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical problems involving exponents and roots. NV 1.12.7.2 - *Perform addition, subtraction, and scalar multiplication on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real number properties to solve problems. Grades 9 - 12 Objective Description NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.12.1 - Patterns NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. NV 2.12.2 - Variables and Unknowns NV 2.12.2.1 - *Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations. Page 101 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. Grades 9 - 12 Objective Description NV 2.12.3.2 - *Simplify algebraic expressions, including exponents and radicals. NV 2.12.4 - Relations and Functions NV 2.12.4.1 - *Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically. NV 2.12.4.2 - *Solve absolute value equations and inequalities both algebraically and graphically. NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 3.12.1 - Comparison, Estimation, and Conversion NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements Page 102 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions NV 3.12.5.1 - *Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the parts of a circle to solve mathematical and practical problems. Grades 9 - 12 Objective Description NV 4.12.1.2 - *Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems. NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of similarity through right triangle trigonometry to find missing angles and sides. NV 4.12.5 - Algebraic Connections NV 4.12.5.1 - *Determine the slope of Topic 1 - Pre-requisites lines using coordinate geometry and algebraic techniques. Page 103 of 112 *State-Assessed Standards Obj. 4 - Slope of a line 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations and find possible solutions to those equations using coordinate geometry. Grades 9 - 12 Objective Description NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. NV 4.12.7 - Triangles NV 4.12.7.1 - *Apply the Pythagorean Theorem and its converse in mathematical and practical situations. NV 4.12.8 - Constructions NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization Page 104 of 112 Topic 1 - Pre-requisites Obj. 2 - Bar graphs Topic 4 - Descriptive statistics Obj. 25 - Stem-and-leaf plots Obj. 35 - Box-and-whisker plots Obj. 92 - Interpret scatter plots Topic 11 - Linear regression *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, AM Probability & Statistics Academic Standards, State Department of Education Standard Topic Description NV 5.12.1.1 - *Organize statistical Topic 1 - Pre-requisites data through the use of tables, graphs, and matrices (with and without technology). Topic 4 - Descriptive statistics Topic 8 - Bivariate data NV 5.12.2 - Central Tendency and Data Distribution NV 5.12.2.1 - *Select and apply Topic 4 - Descriptive statistics appropriate statistical measures in mathematical and practical situations. NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a Topic 7 - Data collection sample and a census. NV 5.12.3.2 - *Identify sources of Topic 7 - Data collection bias and their effect on data representations and statistical conclusions. NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations Topic 2 - Counting and combinations to mathematical and practical situations, including the Fundamental Counting Principle. NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the probability of an event with and without replacement using sample spaces. NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 105 of 112 Grades 9 - 12 Objective Description Obj. 3 - Scatter plots Obj. 23 - Frequency histograms Obj. 24 - Relative frequency histograms Obj. 69 - Stacked bar charts Obj. 30 - Choose best measure of central tendency Obj. 66 - Population or sample Obj. 63 - Identify bias Obj. 5 - Fundamental counting principle Obj. 8 - Permutations Obj. 9 - Combinations *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV A - Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: Grades 9 - 12 Objective Description NV A.1 - Generalize solutions and apply previous knowledge to new problem solving situations NV A.2 - Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem NV A.3 - Apply problem solving strategies until a solution is found or it is clear that no solution exists NV A.4 - Interpret and solve a variety of mathematical problems by paraphrasing NV A.5 - Identify necessary and extraneous information NV A.6 - Check the reasonableness of a solution NV A.7 - Apply technology as a tool in problem solving situations NV A.8 - Apply combinations of proven strategies and previous knowledge to solve non-routine problems NV B - Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: NV B.1 - Use a variety of techniques to solve mathematical problems NV B.2 - Evaluate written and oral presentations in mathematics. NV B.3 - Model and explain Topic 1 - Prerequisites mathematical relationships using oral, written, graphic, and algebraic methods NV B.4 - Communicate and evaluate mathematical thinking based on the use of definitions, properties, rules, and symbols in problem solving Page 106 of 112 *State-Assessed Standards Obj. 10 - Graph lines 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV B.5 - Use everyday language, both orally and in writing, communicate strategies and solutions to problems using appropriate mathematical language NV C - Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: NV C.1 - Recognize and apply deductive and inductive reasoning NV C.2 - Review and refine the assumptions and steps used to derive conclusions in mathematical arguments NV C.3 - Make and test conjectures about algebraic and geometric properties based on mathematical principles NV C.4 - Justify the validity of an argument NV C.5 - Construct a valid argument Grades 9 - 12 Objective Description NV D - Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: NV D.1 - Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics NV D.2 - Explain the relationship between concepts and procedures NV D.3 - Use the connections among mathematical topics to develop multiple approaches to problems NV D.4 - Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science NV D.5 - Identify, explain, and apply mathematics in everyday life Page 107 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV 1.0 - Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 1.12.6 - Estimating and Estimation Strategies NV 1.12.6.1 - *Determine an approximate value of radical and exponential expressions using a variety of methods. NV 1.12.7 - Computation NV 1.12.7.1 - *Solve mathematical problems involving exponents and roots. NV 1.12.7.2 - *Perform addition, subtraction, and scalar multiplication on matrices. NV 1.12.8 - Solving Problems and Number Theory NV 1.12.8.1 - *Identify and apply real number properties to solve problems. NV 2.0 - Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 2.12.1 - Patterns NV 2.12.1.1 - *Use algebraic expressions to identify and describe the nth term of a sequence. Topic 9 - Infinite Series Objective Description Obj. 150 - List terms of sequences Obj. 152 - Find the nth term of sequences NV 2.12.2 - Variables and Unknowns Page 108 of 112 Grades 9 - 12 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV 2.12.2.1 - *Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations. Grades 9 - 12 Objective Description NV 2.12.3 - Number Sentences, Expressions, and Polynomials NV 2.12.3.1 - *Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. NV 2.12.3.2 - *Simplify algebraic expressions, including exponents and radicals. NV 2.12.4 - Relations and Functions NV 2.12.4.1 - *Determine the domain Topic 1 - Prerequisites and range of functions, including linear, quadratic, and absolute value, algebraically and graphically. Obj. 15 - Domain & range, functions NV 2.12.4.2 - *Solve absolute value Topic 1 - Prerequisites equations and inequalities both algebraically and graphically. NV 2.12.5 - Linear Equations and Inequalities NV 2.12.5.1 - *Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). NV 2.12.6 - Algebraic Representations and Applications NV 2.12.6.1 - *Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). NV 3.0 - Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. Obj. 2 - Solve absolute value inequalities NV 3.12.1 - Comparison, Estimation, and Conversion Page 109 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV 3.12.1.1 - Estimate and convert between customary and metric systems. NV 3.12.2 - Precision in Measurements NV 3.12.2.1 - *Justify, communicate, and differentiate between precision, error, and tolerance in practical problems. NV 3.12.3 - Formulas NV 3.12.3.1 - *Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. NV 3.12.4 - Money NV 3.12.4.1 - *Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications. NV 3.12.5 - Ratios and Proportions NV 3.12.5.1 - *Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. NV 4.0 - Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics. NV 4.12.1 - Two - Dimensional Shapes NV 4.12.1.1 - *Identify and use the parts of a circle to solve mathematical and practical problems. Grades 9 - 12 Objective Description NV 4.12.1.2 - *Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems. NV 4.12.2 - Congruence, Similarity, and Transformations NV 4.12.2.1 - *Apply properties of similarity through right triangle trigonometry to find missing angles and sides. NV 4.12.5 - Algebraic Connections Page 110 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV 4.12.5.1 - *Determine the slope of lines using coordinate geometry and algebraic techniques. NV 4.12.5.2 - *Identify parallel, perpendicular, and intersecting lines by slope. NV 4.12.5.3 - *Graph linear equations Topic 1 - Prerequisites and find possible solutions to those equations using coordinate geometry. Grades 9 - 12 Objective Description Obj. 10 - Graph lines NV 4.12.5.4 - *Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. NV 4.12.6 - Lines, Angles, and Their Properties NV 4.12.6.1 - *Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons. NV 4.12.7 - Triangles NV 4.12.7.1 - *Apply the Pythagorean Theorem and its converse in mathematical and practical situations. NV 4.12.8 - Constructions NV 4.12.8.1 - Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships. NV 4.12.9 - Logic NV 4.12.9.1 - *Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. NV 5.0 - Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics. NV 5.12.1 - Data Collection and Organization Page 111 of 112 *State-Assessed Standards 083109 Accelerated Math Standards List with Aligned Product Skills Agency Tag Set Name Product Name Nevada, Math, 2006, Grades: 9-12, Accelerated Math Calculus Academic Standards, State Department of Education Standard Topic Description NV 5.12.1.1 - *Organize statistical data through the use of tables, graphs, and matrices (with and without technology). NV 5.12.2 - Central Tendency and Data Distribution NV 5.12.2.1 - *Select and apply appropriate statistical measures in mathematical and practical situations. Grades 9 - 12 Objective Description NV 5.12.3 - Interpretation of Data NV 5.12.3.1 - *Distinguish between a sample and a census. NV 5.12.3.2 - *Identify sources of bias and their effect on data representations and statistical conclusions. NV 5.12.3.3 - *Use the shape of a normal distribution to compare and analyze data from a sample. NV 5.12.4 - Permutations and Combinations NV 5.12.4.1 - *Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle. NV 5.12.5 - Experimental and Theoretical Probability NV 5.12.5.1 - *Determine the probability of an event with and without replacement using sample spaces. NV 5.12.5.2 - *Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments. NV 5.12.6 - Statistical Inferences NV 5.12.6.1 - Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. NV 5.12.6.2 - Formulate and justify inferences based on a valid data sample. Page 112 of 112 *State-Assessed Standards 083109
© Copyright 2026 Paperzz