Arizona State Standard M00-S4C4-02 M02-S4C4-02 M00-S4C4-01 M01-S4C4-01 M02-S1C1-02b M02-S1C1-05 M00-S4C4-02 M02-S4C4-02 M00-S4C4-01 M01-S4C4-01 M01-S4C4-03 M02-S3C3-01 M01-S1C1-02 M00-S3C3-01 M00-S1C1-01 M01-S3C3-02 M01-S1C1-05 M02-S3C3-01 M01-S1C1-02 M00-S3C3-01 M00-S1C1-01 M00-S1C2-02 M01-S1C2-02 01M01 01M01A 01M01B 01M01C 01M01D 01M02 01M02A 01M02B 01M02C 01M02D 01M03 01M03A 01M03B 01M03C 01M03D 01M03E 01M04 01M04A 01M04B 01M04C 01M04D 01M04E 01N01 01N01A 01N01B 01N01C 01N01D 01N01E 01N02 01N02A 01N02B 01N02C SmartMath Topic Length and Distance I Compare and order measurable attributes of length and distance Compare lengths of objects and distances between objects Compare and order measurable attributes using nonstandard units Measure objects using nonstandard units Money I Identify and compare the value of coins Read monetary values less than $1.00 Use coins to do activities with money Solve problems that involve money Length and Distance II Understand and define centimeters and inches Understand that centimeters are used to measure length Measure, compare, and order measurable attributes of objects using centimeters Estimate length by comparing measurable attributes of objects to nonstandard units of measure Choose appropriate tools to measure length and distance Time I Demonstrate an understanding of time using hours Tell time in terms of o'clock Recognize the relation of days to weeks Demonstrate an understanding of time using months and years Identify and read dates on a calendar Numbers to 10 Count, read, and write whole numbers less than or equal to 10 Count on and count back for whole numbers less than or equal to 10 Demonstrate an understanding of and classify numbers as even or odd Compare groups of objects with one-to-one correspondence Compose numbers less than or equal to 10 Numbers to 20 Count, read, and write whole numbers less than or equal to 20 Relate and compare quantity of objects and order of objects using cardinal and ordinal numbers Demonstrate an understanding of composition of numbers less than or equal to 20 01N03 01N03A 01N03B Basic Addition and Subtraction Add and subtract whole numbers less than 20 without regrouping Calculate sums of whole numbers less than 20 written horizontally without regrouping M01-S1C2-03 M02-S1C2-03 M01-S3C3-03 M02-S3C3-01 M01-S1C1-02 M00-S3C3-01 M01-S3C3-02 M02-S1C1-03 M00-S1C2-02 M02-S1C2-02a M01-S1C2-02 M01-S1C2-03 M02-S1C2-03 M01-S1C3-01 M00-S2C3-01 M00-S4C1-01 M01-S4C1-01 M00-S4C1-02 M01-S4C1-02 M02-S2C1-02 M03-S2C1-02 M01-S2C1-02 M02-S2C1-01 M01-S4C4-02 M02-S4C4-02 M03S4C4-02 01N03C 01N03D 01N03E 01N04 01N04A 01N04B 01N04C 01N04D Define zero by subtraction of two equal whole numbers Identify and use the inverse properties of addition and subtraction Demonstrate an understanding of the commutative property for addition and subtraction Numbers to 100 Count, read, and write whole numbers less than or equal to 100 Recognize two-digit whole numbers as a combination of tens and ones Count by 2s, 5s, and 10s Demonstrate an understanding of composition of numbers less than or equal to 100 01N05 01N05A 01N05B 01N05C 01N05D 01N05E 01N05F 01S01 01S01A 01S01B 01S01C 01S02 01S02A 01S02B 01S02C 01S03 01S03A 01S03B 01S03C 01S03D 02D01 02D01A 02D01B 02D01C Addition and Subtraction I Add two-digit whole numbers without regrouping Calculate sums of columns of whole numbers Add more than two numbers without regrouping Subtract two-digit whole numbers without regrouping Solve problems involving addition and subtraction of two-digit numbers Estimate the sums and differences of two-digit whole numbers 3-D Shapes I Use appropriate vocabulary to compare the attributes of three-dimensional shapes Classify three-dimensional shapes by attributes and properties Sort three-dimensional shapes into prisms, pyramids, and spheres Straight Lines and Curves Identify and name lines Name lines from multiple representations Construct lines 2-D Shapes Use attributes of shape and number of sides to identify triangles, quadrilaterals, pentagons, hexagons, and circles Identify shapes by observation Identify squares and rectangles by observation Construct shapes using a variety of strategies Pictograms I Compare number of items by grouping in straight lines Identify and interpret pictographs Construct pictographs using one-to-one correspondence 02M01 02M01A 02M01B 02M01C Length and Distance III Understand the reasons for larger units of measure Define and describe meter (m) as a measure of length Measure and compare lengths of objects and distances between objects using meters M01-S4C4-01 M02-S4C4-04g M02-S4C4-01 M03-S4C4-01a M03-S4C4-01b M01-S4C4-03 M02-S4C4-04d M02-S4C4-04e M02-S4C4-04f M03-S1C1-03 M02-S1C2-02 M02-S4C4-02 M03-S4C4-02 M01-S4C4-01 M02-S1C1-04 M01-S1C1-02 M02-S1C1-01 M03-S1C1-02 M02-S1C1-01 M03-S1C1-02 M01-S1C1-04 M02-S1C1-03 M03-S1C1-01 M02-S1C1-02 M01-S1C1-03 02M01D 02M01E 02M01F 02M02 02M02A 02M02B 02M02C 02M02D 02M02E 02M02F 02M02G 02M02H 02M02I 02M03 02M03A 02M03B 02M03C 02M03D 02M04 02M04A 02M04B 02M04C 02M04D 02M04E 02M04F 02M04G 02N01 02N01A 02N01B 02N01C 02N01D Measure with appropriate measuring tools Record the lengths of objects with appropriate measuring units Estimate the lengths of objects by comparing to nonstandard units of measure Time II Identify units of time in minutes Tell time in minutes and hours Measure elapsed time in minutes and hours Record elapsed time in minutes and hours Identify units of time as hours in a day Use identifiers of time such as morning and afternoon Tell time in terms of "morning," "afternoon," "noon," and "midnight" Identify units of time as days in a month and months in a year Identify units of time as number of days in a year Money II Identify, name, and describe the value of coins and bills Read monetary values up to $100.00 using dollars and cents Compare and contrast coins and bills Solve simple problems using addition and subtraction of coins and bills Weight Describe, identify, and analyze weight Compare and order objects by weight Measure and compare the weights of objects using nonstandard units Understand the need for standardization of units Measure, order, and compare the weights of objects using grams, kilograms, pounds, and ounces Choose the appropriate tools for measuring weights Identify the weights of objects using appropriate units 3-Digit Numbers Count, read, and write numbers less than or equal to 999 Identify place values of 1s, 10s, 100s Skip count by 50 and 100 Estimate the number of objects in a group M02-S1C2-02 M03-S1C2-01 M01-S1C2-02 M01-S1C3-01 M02-S1C3-01 M03-S1C3-01 M02-S1C2-06 M03-S1C2-07 M03-S1C2-03 M02-S1C2-08 M03-S1C4-04 M02-S1C1-04 M01-S1C1-04 M03-S1C1-01 M03-S1C1-02 M03-S1C2-01 M01-S1C2-02 M01-S1C3-01 M02-S1C3-01 M03-S1C3-01 M02-S1C2-08c M03-S1C2-05 M03-S1C2-03 M03-S1C2-04 M03-S4C1-04 M03-S4C1-03 02N02 02N02A 02N02B 02N02C 02N02D Addition and Subtraction II Add three-digit whole numbers with regrouping (maximum three numbers) Subtract three-digit whole numbers with regrouping Solve problems using addition and subtraction Use estimation strategies to predict the answers to addition and subtraction problems 02N03 02N03A 02N03B 02N03C 02N03D 02N03E 02N04 02N04A 02N04B 02N04C Basic Multiplication Develop and define multiplication as repeated addition Find the first ten multiples of whole numbers through 10 Multiply whole numbers less than or equal to 10 Demonstrate an understanding of the commutative property for multiplication Solve problems that involve multiplication of whole numbers less than or equal to 10 4-Digit Numbers Count, read, and write whole numbers less than or equal to 9999 Identify place values of 1s, 10s, 10's, 1000s Skip count by 500 and 1000 02N05 02N05A 02N05B 02N05C 02N05D 02N05E Addition and Subtraction III Subtract three-digit whole numbers with regrouping Demonstrate an understanding of the associative property of addition Calculate the answers to problems that involve more than one operation (addition and subtraction only) Solve problems that involve addition and subtraction of three-digit whole numbers Use estimation strategies to predict the answers to addition and subtraction problems 02N06 02N06A 02N06B 02N06C 02N06D 02S01 02S01A 02S01B 02S01C 02S01D 02S01E 02S02 02S02A Basic Division Describe and define division Demonstrate division as the inverse of multiplication by repeated addition with or without remainders Relate multiplication and division Solve problems that involve division with single-digit divisors 3-D Shapes II Describe, identify, and sort prisms and cylinders Describe, identify, and sort pyramids and cones Identify attributes of solids Sort, group, and compare three-dimensional models Construct three-dimensional models Angles I Define, describe, and name angles M02-S2C1-02 M03-S2C1-02 M04-S2C1-02 M03-S2C1-01 M02-S2C1-01 M02-S2C1-02 M03-S2C1-02 M04-S2C1-02 M02-S2C1-01 M03-S2C1-01 M02-S4C4-02 M04-S4C4-02 M02-S4C4-01 M04-S4C4-01 M03-S4C4-01b 02S02B 02S02C 02S02D 02S03 02S03A 02S03B 02S04 02S04A 02S04B 02S04C 03D01 03D01A 03D01B 03D01C Define, describe, and name right angles Compare and order angles by measure Construct angles The Four Compass Points Identify, analyze, and name the four directions: north, east, south, and west Identify and measure direction using a compass Quadrilaterals I Describe and identify attributes of quadrilaterals Identify quadrilaterals by their measurable attributes Construct quadrilaterals Block Graphs Analyze and describe block graphs Construct, identify, and describe block graphs Interpret block graphs to determine the average 03D02 03D02A 03D02B 03D02C Bar Charts I Analyze and describe simple bar charts Construct, identify, and describe bar charts Interpret bar charts to determine the average 03M01 03M01A 03M01B 03M01C 03M01D 03M01E 03M01F 03M01G 03M01H 03M01I 03M02 03M02A 03M02B 03M02C 03M02D 03M03 Length and Distance IV Describe and identify the need for measures of length longer than meter and yard Define and describe kilometer and mile Measure, identify, and compare lengths and distances using kilometers and miles Describe and identify the need for measures of length smaller than centimeter and inch Define and describe millimeter Measure, identify, and compare lengths and distances using millimeters Select an appropriate measuring tool Measure and name lengths of objects and distances between objects with appropriate units Solve problems that involve lengths Time III Describe and identify seconds Tell time in hours, minutes, and seconds Measure elapsed time in seconds Measure and name elapsed time in hours, minutes, and seconds Capacity M02-S4C4-02 M04-S4C4-02 M02-S1C1-04 M03-S1C1-01 M04-S1C1-01 M04-S1C3-01 M03-S1C1-02 M02-S1C2-08c M04-S5C1-01 M03-S1C3-01 M03-S1C2-07 M04-S1C3-03 M02-S1C2-08b M03-S1C2-01 M04-S1C2-05 M02-S1C3-01 M04-S1C2-02b M04-S1C3-02 M03-S1C2-02 M02-S1C2-01b M03-S1C3-01 M04-S1C2-02 M04-S1C3-02 M03-S1C2-02 M02-S1C2-01 03M03A 03M03B 03M03C 03M03D 03M03E 03M03F 03M03G 03M04 03M04A 03M04B 03M04C 03N01 03N01A 03N01B 03N01C Define and describe capacity Compare the capacity of containers using standard units Measure and compare the capacity of containers using nonstandard units Understand the need for standardization of units Measure and compare the capacity of containers using liter, milliliter, cup, and quart Measure and name capacity using appropriate tools Describe and name the capacity of containers using appropriate units Time IV Define and describe 24-hour time periods Tell time by reading 24-hour clocks Identify and demonstrate understanding of 24-hour time periods 5-Digit Numbers Count, read, and write whole numbers less than or equal to 99999 Identify place values 1s, 10s, 100s, 1000s, and 10000s Solve problems involving identification of whole numbers 03N02 03N02A 03N02B 03N02C 03N02D Addition and Subtraction IV Add and subtract whole numbers less than 9999 Demonstrate an understanding of the commutative and associative properties of addition Solve problems that require addition or subtraction of whole numbers less than 9999 Use estimation strategies to predict the answers to addition and subtraction problems 03N03 03N03A 03N03B 03N03C 03N03D Multiplication I Multiply two-digit whole numbers by one-digit whole numbers Multiply three-digit whole numbers by one-digit whole numbers Solve problems that require multiplication Use estimation strategies to predict the answers to multiplication problems 03N04 03N04A 03N04B 03N04C 03N04D Division I Compute simple division problems as the inverse to multiplication Divide two-digit whole numbers by one-digit whole numbers Divide three-digit whole numbers by one-digit whole numbers Solve problems that require division M03-S1C3-01 M04-S1C2-04 M04-S1C3-02 M04-S1C2-05 M04-S1C2-06 M04-S1C2-07 M02-S1C2-08b M03-S1C3-01 M04-S5C1-01 M04-S1C1-03 M03-S1C1-05 M04-S1C1-01 M04-S1C3-01 M04-S4C1-01 M03-S4C1-04 M04-S4C1-02 M04-S4C1-06 M03-S4C1-04 M04-S4C1-02 M04-S4C1-03 M03-S2C1-02 M04-S2C1-02 M05-S2C1-02 M05-S5C1-02 M05-S4C4-05 03N04E Use estimation strategies to predict the answers to division problems 03N05 03N05A 03N05B 03N05C 03N05D Mixed Operations I Identify and use parentheses as appropriate grouping symbols in mixed operations Calculate answers to computation problems with mixed operations Solve multi-step problems that require addition and subtraction, multiplication and addition, or multiplication and subtraction Use estimation strategies to predict the answers to mixed operations problems 03N06 03N06A 03N06B 03N06C 03N06D 03S01 03S01A 03S01B 03S01C 03S01D 03S02 03S02A 03S02B 03S02C 03S03 03S03A 03S03B 03S04 03S04A 03S04B 03S04C 04D01 04D01B 04D01C Fractions I Describe and define fractions as part of a whole or part of a group Identify and describe the relation between fractions and 1 Compare and order fractions with the same denominator or the same numerator Solve problems that require the use of fractions Parallel and Perpendicular Lines Name, describe, and identify parallel lines Identify and construct parallel lines in multiple representations Name, describe, and identify perpendicular lines Identify and construct perpendicular lines in multiple representations Quadrilaterals II Classify squares and rectangles by their attributes Classify parallelograms by their attributes Compare and contrast squares, rectangles, and parallelograms by their measurable attributes Angles II Identify and name acute angles and obtuse angles Compare and order the size and measure of angles Triangles Define and describe triangles Classify triangles by their measurable attributes Draw and construct triangles Pictograms II Construct pictographs Analyze pictographs 04M01 04M01A 04M01C Perimeter I Define and analyze perimeter Compute the perimeter of squares and rectangles M04-S4C4-04 M05-S4C4-05 M05-S5C1-02 M04-S4C4-04 M05-S4C4-04 M05-S1C2-02 M04-S1C2-02a M03-S1C2-02 M05-S1C3-01 M04-S5C1-01 M05-S1C2-04 M03-S1C3-01 M03-S1C2-07 M04-S1C3-02 M04-S1C2-05 M03-S1C2-03 M03-S1C2-02 M05-S1C2-03 M04-S1C2-04 M04-S1C1-02 M05-S1C1-02 M03-S1C1-04 M04-S1C1-02 04M01D 04M02 04M02A 04M02B 04M02D 04M02E 04M02F 04N01 04N01A 04N01B 04N01C 04N01E 04N01F Identify and compute the perimeter of irregular shapes Area I Define and analyze area Identify and compare the areas of two or more shapes Define and describe area units square centimeter, square meter, square inch, square foot Measure the area of two-dimensional shapes using square units Understand and apply the formulas for calculating the area of squares and rectangles Multiplication II Recognize the associative property of multiplication Apply the commutative and associative properties of multiplication in computation Multiply two-digit whole numbers by two-digit whole numbers Solve problems involving multiplication Use estimation strategies to predict the answers to multiplication problems 04N02 04N02A 04N02B 04N02C 04N02D 04N03 04N03A 04N03B 04N03C 04N04 04N04A 04N04B 04N04C 04N04D 04N04E 04N05 04N05A 04N05B 04N05C Division II Divide two-digit whole numbers by two-digit whole numbers Divide three-digit whole numbers by two-digit whole numbers Describe and apply divisibility tests for 2, 5, and 10 Solve problems involving division Calculators Use modern calculating devices Recognize and apply the basic operations of a four-function calculator Use calculators as a tool for number operations Multiples and Factors Define, describe, and analyze multiples Define, describe, and analyze factors Determine the set of all factors of a whole number Relate multiples to factors Define, describe, and name prime and composite numbers Common Multiples and Common Factors Define, describe, and name common multiples Determine the common multiples and least common multiples of pairs of whole numbers Define, describe, and name common factors M05-S1C3-01 M05-S1C2-04 M04-S1C2-05 M04-S1C3-02 M05-S2C2-05 M04-S1C2-06 M03-S1C3-01 M04-S5C1-01 M04-S1C2-01 M05-S1C2-01 M05-S1C1-04 M05-S5C1-01 M04-S1C1-01 M04-S1C3-01 M05-S1C3-01 M04-S1C3-02 M04-S1C2-01 M05-S1C2-01 M05-S5C1-01 M04-S1C1-01 M05-S5C1-02 M05-S4C4-05 M05-S4C1-03 M03-S4C1-04 M05-S4C1-01 M04-S4C1-02 M04-S4C4-04 04N05D 04N05E 04N05F 04N06 04N06A 04N06B 04N06C 04N06D 04N06E Determine the common factors and greatest common factors of pairs of whole numbers Use division to find common factors Solve problems that involve common factors and common multiples Mixed Operations II Define and apply order of operations Compute answers to problems using order of operations Demonstrate an understanding of the distributive property of multiplication Solve problems involving order of operations Use estimation strategies to predict the answers to mixed operations problems 04N07 04N07A 04N07B 04N07C 04N07D 04N07E Fractions II Define, describe, and identify proper fractions, improper fractions, and mixed numbers Simplify fractions Write equivalent fractions Compare two fractions by finding a common denominator Add and subtract fractions with the same denominator and simplify the answers 04N08 04N08A 04N08B 04N08C 04N08D 04N08E 04N08F 04S01 04S01A 04S01B 04S01C Decimals I Define, describe, and represent decimals as fractions Define and apply place value to decimals through hundredths Identify real-life situations that involve decimals Add and subtract decimal numbers through hundredths Solve problems involving money, length, and distance Use estimation strategies to predict the answers to addition and subtraction of decimals problems Quadrilaterals III Classify trapezoid and rhombus by their attributes Classify and compare quadrilaterals Compute the perimeter of simple geometric shapes 04S02 04S02A 04S02B 04S03 Fitting and Dissecting Shapes Combine two or more polygons to make a new polygon Partition polygons and classify the shapes formed Simple Symmetry M03-S4C2-02 M06-S3C3-01 M04-S3C3-01 M06-S3C3-03 M04-S3C3-01 M04-S3C3-02 M04-S2C1-01 M05-S2C1-01 M06-S2C1-01 M04-S2C1-02 M05-S2C1-02 M06-S2C1-02 M04-S2C1-03 M05-S2C1-03 M06-S2C1-03 M06-S1C1-01 M05-S1C3-01 M06-S1C3-01 M04-S1C3-02 M06-S1C3-02 M05-S1C1-04 M05-S1C1-01 M04-S1C3-01 M05-S4C4-05 M05-S5C1-02 M06-S4C4-05 M04-S4C4-04 M05-S4C4-04 M06-S4C4-04 04S03A 04S03B 05A01 05A01A 05A01B Identify symmetrical shapes and find their lines of symmetry Analyze and draw symmetrical shapes Elementary Algebra Represent whole numbers with symbols Write expressions that contain variables 05A02 05A02A 05A02B 05A02C 05A02D 05D01 05D01A 05D01B 05D01C 05D01D Simple Equations I Define and describe equations Solve one-step equations with whole number solutions Represent equations in equivalent forms Solve problems that require one-step equations Bar Charts II Analyze, define, and describe attributes of bar charts Construct bar charts with appropriate scales Analyze, define, and describe attributes of stacked bar charts Construct and analyze compound bar charts 05D02 05D02A 05D02B 05D02C 05D03 05D03A 05D03B 05D03C Simple Statistics Define and identify quartile, average, range, mean, median, and mode Find measures of center Use estimation strategies to predict answers and interpret data collections Bar Charts III Define and analyze bar charts to organize large quantities of data Construct bar charts using large ratios and large quantities of data Estimate average from reading a bar chart 05M01 05M01A 05M01B Area II Understand and apply the formulas for calculating the area of parallelograms, triangles and trapezoids Calculate the area of polygons M06-S4C4-01 M06-S4C4-01 M06-S1C2-01 M05-S1C1-06 M04-S1C1-01 M05-S1C3-01 M06-S1C2-04 M04-S1C3-02 M06-S1C3-02 M06-S1C2-05 M06-S5C1-01 M05-S1C3-01 M04-S1C3-02 05M02 05M02A 05M02B 05M02C 05M02D 05M02E 05M02F 05M02G 05M03 05M03A 05M03B 05M03C 05M03D 05M03E 05M03F 05M03G 05M04 05M04A 05M04B 05M04C 05M04D 05M04E 05N01 05N01A 05N01B 05N01C 05N01D 05N01E 05N02 05N02A 05N02B 05N02C 05N02D Temperature Describe and define temperature Compare and contrast the two temperature scales Determine temperature using appropriate tools Examine temperature in daily situations Convert temperatures to and from Celsius and Fahrenheit Estimate temperatures form one scale to another; apply temperature estimates to seasons and daily life Solve problems that involve temperature Volume I Describe and define volume Use multiple representations to compare volumes of two or more objects Define and describe cubic centimeter and cubic inch Measure and compare the volumes of objects using cubic centimeter and cubic inch Analyze objects to justify the need for a larger volume unit Define and describe cubic meter Understand and apply the formulas for finding the volume of rectangular solids Other Counting Systems Define and describe the customary system of measurement Measure length using customary units Define and name roman numerals Use estimation strategies to predict answers using Roman numerals Solve problems involving customary units of measure Large and Negative Numbers Count, read, and write integers with more than three digits Round large numbers Define and describe natural number and integer Identify and compare integers Use estimation strategies with very large numbers Fractions III Define and model multiplication of fractions as repeated addition Define division of fractions using an area model Solve problems involving multiplication and division of fractions Use estimation strategies to predict the answer for problems involving multiplication and division of fractions 05N03 05N03A 05N03B Decimals II Multiply decimals by one- or two-digit whole numbers Divide decimals by one- or two-digit whole numbers M06-S1C3-02 M06-S1C2-05 M06-S1C2-03 M05-S1C3-01 M06-S1C2-04 M04-S1C3-02 M06-S1C3-02 M06-S1C2-05 M06-S5C1-01 M06-S1C1-01 M05-S1C3-01 M06-S1C3-01 M04-S1C3-02 M06-S1C3-02 M05-S1C1-04 M05-S1C1-01 M04-S1C3-01 M06-S1C1-01 M04-S1C1-01 M05-S1C1-01 M04-S4C1-07 M04-S4C1-02 M04-S4C1-06 M05-S4C4-03 05N03C 05N03D 05N03E 05N03F 05N04 05N04A 05N04B 05N04C Find the approximate values by rounding off the answers Perform mixed operations on decimals for sums involving at most three operations Solve problems involving money, length, and distance Use estimation strategies to predict the answer for problems involving multiplication of decimals Fractions IV Multiply fractions Solve problems that involve multiplication of fractions Use estimation strategies to predict the answer to fraction problems 05N05 05N05A 05N05B 05N05C 05N05D 05N05E Decimals III Write decimals as fractions Write fractions as decimals, rounding to hundredths Compare fractions and decimals Solve problems that involve decimals and fractions Use estimation strategies to predict the answer for problems involving fractions and decimals 05N06 05N06A 05N06B 05N06C 05N06D 05S01 05S01A 05S01B 05S02 05S02A 05S02B 05S03 05S03A 05S03B 05S03C 05S03D 05S03E 05S03F Percentages I Identify uses and applications of percent Define and describe percent Write decimals as percents; write percents as decimals Write fractions as percents; write percents as fractions The Eight Compass Points Identify, define, and describe the eight compass points Read compass directions 3-D Shapes III Define, describe, and identify by attributes: cones, pyramids, cylinders, prisms, and spheres Construct nets of rectangular solids and cubes Angles III Define and describe "degree" Identify benchmark angles (30, 45, 60, 90, 180, 360) Identify and measure angles Measure angles using appropriate tools Solve problems involving angles Use estimation strategies to predict the answer for problems involving angles M07-S3C3-05 M05-S3C3-01 M06-S3C3-02 M07-S3C3-03 M06-S3C4-01 M05-S2C1-01 M06-S2C1-01 M07-S2C1-01 M05-S2C1-02 M06-S2C1-02 M07-S2C1-02 M05-S2C2-01 M07-S1C2-03 M05-S3C4-01 M07-S4C4-07 M05-S1C1-05 M06-S4C3-02 M06-S4C2-01 M06-S4C2-02 M06-S4C3-01 M06-S2C1-01 M07-S2C1-01 M05-S2C1-02 M06-S2C1-02 M07-S5C2-11 M07-S4C4-01 06A01 06A01A 06A01B Simple Equations II Solve single variable two-step equations that may contain any operation Write and solve single variable two-step equations for problems 06D01 06D01A 06D01B Broken Line Graphs Read and discuss broken line graphs Construct broken line graphs 06D02 06D02A 06D02B 06D02C 06D03 06D03A 06D03B 06D03C 06D03D 06D04 06D04A 06D04B 06D04C 06D04D 06D05 06D05A 06D05B Simple Probability Define and describe simple probability Evaluate and analyze and/or situations Use correct terminology to describe simple events Ratio and Proportion Define and describe inverse and direct proportions Define and describe ratios Solve problems that involve ratios and proportions Use estimation strategies to predict answers to problems involving ratio and proportion Simple Coordinate Geometry Define and describe the rectangular coordinate system Explore geometric ideas using the coordinate plane Locate coordinates and describe movements on the coordinate system Solve problems involving simple coordinate geometry Pie Charts Describe and define pie charts Create pie charts using mathematical tools 06M01 06M01A 06M01B 06M02 06M02A 06M02B Volume II Relate volume and capacity Use displacement of water to measure volume of irregular objects Perimeter II Define and describe circumference Relate circumference, diameter, and radius M06-S4C1-01 M05-S5C1-02 M06-S4C4-05 M07-S4C4-01 M05-S1C3-01 M06-S1C2-04 M07-S1C3-01 M06-S1C2-05 M06-S1C3-02 M07-S1C3-02 M07-S1C2-02 M06-S5C1-01 M06-S1C2-03 M07-S1C3-01 M05-S1C3-01 M06-S1C3-02 M06-S1C2-02 M07-S1C3-02 M06-S1C2-05 M06-S5C1-01 M07-S1C2-02 M07-S1C2-03 M05-S1C3-01 M07-S1C3-01 M06-S1C3-02 M07-S1C3-02 M07-S1C2-02 M07-S4C1-03 06M02C 06M02D 06M03 06M03A 06M03B 06M03C 06M04 06M04A 06M04B 06M04C 06N01 06N01A 06N01B 06N01C Define pi as a relation to circumference and diameter of a circle Calculate the circumference of circles using formulas Speed Define and describe speed Measure and define speed as a rate Read graphs to describe speed Area III Define and apply formula for calculating the area of a circle Relate circumference and area of a circle Solve problems that involve circumference and area of a circle Fractions V Divide fractions Solve problems that involve division and multiplication of fractions Use estimation strategies to predict the answer to division of fractions problems 06N02 06N02A 06N02B 06D02C 06N02D 06N02E Decimals IV Multiply two-digit decimals by two-digit decimals Divide two-digit decimals by two-digit decimals Define and describe repeating decimals Solve problems involving decimals Use estimation strategies to predict the answer to decimal problems 06N03 06N03A 06N03B Percentages II Solve percent problems for percent of, discount, and percent as a ratio Use estimation strategies to predict the answer to percent problems 06S01 06S01A Symmetry I Define and describe transformations M07-S4C1-03 M07-S4C4-01 M05-S4C1-01 M06-S4C1-01 06S01B 06S01C 06S01D 06S01E 06S02 06S02A 06S02B 06S02C 06S02D 06S02E 06S02F 06S02G 06S03 06S03A 06S03B Define and describe congruence and similarity Prove congruence or similarity by using transformations Identify the line of rotational symmetry in three-dimensional figures Solve problems that involve transformations 3-D Shapes IV Define and describe vertices, edges and faces of three-dimensional shapes Construct vertex-edge graphs of prisms and pyramids Relate number of edges and number of sides of prisms and pyramids Relate number of vertices and number of sides of prisms and pyramids Construct nets of prisms and pyramids Construct prisms and pyramids Define and describe attributes of prisms, pyramids, and spheres Circles Describe and define attributes of circles and formulas for circumference and area Construct circles
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