Nevada State Standards Alignment Grades One

Nevada State Standards Alignment
Grades One through Twelve
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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