North Carolina Standards Alignment Kindergarten through Grade Twelve

North Carolina Standards Alignment Kindergarten through Grade Twelve Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries. P.O. Box 8036 Wisconsin Rapids, WI 54495-8036 Phone: (800) 338-4204 Fax: (715) 424-4242 www.renlearn.com

North Carolina Standards Alignment Standards list with Aligned Product Skills The Standards list with Aligned Product Skills Report is a standards-oriented 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 Kindergarten...1 Grade 1...3 Grade 2...6 Grade 3...11 Grade 4...16 Grade 5...22 Grade 6...28 Grade 7...35 Grade 8...42 Algebra 1...47 Geometry...51 2011 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. Any standards referenced in this document are the property of their respective copyright holders. 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

STAR Math Enterprise North Carolina, Math, 2003, Kindergarten, Standard Course of Study, State Department of Education - Number and Operations NC 1 - The learner will recognize, model, and write whole numbers through 30. NC 1.01 - Develop number sense for whole numbers through 30. NC 1.01.a - Connect model, number word (orally), and number, using a variety of representations. NC 1.01.b - Count objects in a set. NC 1.01.c - Read and write numerals. NC 1.01.d - Compare and order sets and numbers. NC 1.01.e - Use ordinals (1st-10th). STAR Math Enterprise Skill 1 - Count objects to 20 Kindergarten Skill 5 - Answer a question involving an ordinal number up to "tenth" NC 1.01.f - Estimate quantities fewer than or equal to 10. NC 1.01.g - Recognize equivalence in sets and numbers 1-10. NC 1.02 - Share equally (divide) between two people; explain. NC 1.03 - Solve problems and share solutions to problems in small groups. - Measurement NC 2 - The learner will explore concepts of measurement. NC 2.01 - Compare attributes of two objects using appropriate vocabulary (color, weight, height, width, length, texture). NC 2.02 - Recognize concepts of calendar time using appropriate vocabulary (days of the week, months of the year, seasons). - Geometry NC 3 - The learner will explore concepts of geometry. NC 3.01 - Identify, build, draw, and name triangles, rectangles, and circles; identify, build, and name spheres and cubes. NC 3.02 - Compare geometric shapes (identify likenesses and differences). NC 3.03 - Model and use directional and positional vocabulary. Page 1 of 54 Skill 414 - Identify a circle, a triangle, a square, or a rectangle Skill 415 - Use basic terms to describe position

STAR Math Enterprise North Carolina, Math, 2003, STAR Math Enterprise Kindergarten, Standard Course of Study, State Department of Education NC 3.04 - Complete simple spatial visualization tasks and puzzles. - Data Analysis and Probability NC 4 - The learner will collect, organize and display data. NC 4.01 - Collect and organize data as a group activity. NC 4.02 - Display and describe data with concrete and pictorial graphs as a group activity. - Algebra NC 5 - The learner will model simple patterns and sort objects. NC 5.01 - Sort and classify objects by one attribute. NC 5.02 - Create and extend patterns with actions, words, and objects. Kindergarten Page 2 of 54

STAR Math Enterprise Grade 1 North Carolina, Math, 2003, Grade 1, STAR Math Enterprise - Number and Operations NC 1 - The learner will read, write, and model whole numbers through 99 and compute with whole numbers. NC 1.01 - Develop number sense for whole numbers through 99. NC 1.01.a - Connect the model, number word, and number using a variety of representations. NC 1.01.b - Use efficient strategies to count the number of objects in a set. NC 1.01.c - Read and write numbers. Skill 6 - Identify a number to 20 represented by a point on a number line Skill 7 - Locate a number to 20 on a number line Skill 1 - Count objects to 20 Skill 22 - Relate a whole number to the word form of the number to 100 NC 1.01.d - Compare and order sets and numbers. NC 1.01.e - Build understanding of place value (ones, tens). NC 1.01.f - Estimate quantities fewer than or equal to 100. NC 1.01.g - Recognize equivalence in sets and numbers 1-99. NC 1.02 - Use groupings of 2's, 5's, and 10's with models and pictures to count collections of objects. Skill 23 - Compare whole numbers to 100 using words Skill 24 - Order whole numbers to 100 in ascending order Skill 19 - Determine the value of a digit in a 2-digit number Skill 20 - Represent a 2-digit number as tens and ones Skill 21 - Determine the 2-digit number represented as tens and ones Skill 47 - Determine equivalent forms of a number, up to 10 Skill 13 - Count objects grouped in tens and ones NC 1.03 - Develop fluency with singledigit addition and corresponding differences using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens. NC 1.04 - Create, model, and solve problems that use addition, subtraction, and fair shares (between two or three). Page 3 of 54 Skill 49 - Know basic addition facts to 10 plus 10 Skill 50 - Know basic subtraction facts to 20 minus 10 Skill 51 - WP: Use basic addition facts to solve problems Skill 52 - WP: Use basic subtraction facts to solve problems

STAR Math Enterprise Grade 1 North Carolina, Math, 2003, Grade 1, STAR Math Enterprise - Measurement NC 2 - The learner will use nonstandard units of measure and tell time. NC 2.01 - For given objects: NC 2.01.a - Select an attribute (length, capacity, mass) to measure (use non-standard units). NC 2.01.b - Develop strategies to estimate size. NC 2.01.c - Compare, using appropriate language, with respect to the attribute selected. NC 2.02 - Develop an understanding of the concept of time. Skill 62 - WP: Determine a basic addition-fact number sentence for a given situation Skill 63 - WP: Determine a basic subtraction-fact number sentence for a given situation NC 2.02.a - Tell time at the hour and half-hour. NC 2.02.b - Solve problems involving applications of time (clock and calendar). - Geometry NC 3 - The learner will identify, describe, draw, and build basic geometric figures. NC 3.01 - Identify, build, draw and name parallelograms, squares, trapezoids, and hexagons. NC 3.02 - Identify, build, and name cylinders, cones, and rectangular prisms. NC 3.03 - Compare and contrast geometric figures. NC 3.04 - Solve problems involving spatial visualization. - Data Analysis and Probability NC 4 - The learner will understand and use data and simple probability concepts. NC 4.01 - Collect, organize, describe and display data using line plots and tallies. Page 4 of 54 Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 446 - Tell time to the hour and half hour Skill 416 - Determine the common attributes in a set of geometric shapes Skill 541 - Use a 2-category tally chart to represent groups of objects (1 symbol = 1 object) Skill 544 - Use a line plot to represent data

STAR Math Enterprise Grade 1 North Carolina, Math, 2003, Grade 1, STAR Math Enterprise NC 4.02 - Describe events as certain, impossible, more likely or less likely to occur. - Algebra NC 5 - The learner will demonstrate an understanding of classification and patterning. NC 5.01 - Sort and classify objects by two attributes. NC 5.02 - Use Venn diagrams to illustrate similarities and differences in two sets. NC 5.03 - Create and extend patterns, identify the pattern unit, and translate into other forms. Page 5 of 54

STAR Math Enterprise Grade 2 North Carolina, Math, 2003, Grade 2, - Number and Operations NC 1 - The learner will read, write, model, and compute with whole numbers through 999. NC 1.01 - Develop number sense for whole numbers through 999. NC 1.01.a - Connect model, number word, and number using a variety of representations. STAR Math Enterprise Skill 6 - Identify a number to 20 represented by a point on a number line Skill 7 - Locate a number to 20 on a number line Skill 22 - Relate a whole number to the word form of the number to 100 NC 1.01.b - Read and write numbers. NC 1.01.c - Compare and order. NC 1.01.d - Rename. NC 1.01.e - Estimate. NC 1.01.f - Use a variety of models to build understanding of place value (ones, tens, hundreds). NC 1.02 - Use area or region models and set models of fractions to explore part-whole relationships in contexts. Skill 30 - Relate a 3-digit whole number to its word form Skill 30 - Relate a 3-digit whole number to its word form Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = Skill 32 - Order whole numbers to 1,000 in ascending or descending order Skill 28 - Recognize equivalent forms of a 3-digit number using hundreds, tens, and ones Skill 47 - Determine equivalent forms of a number, up to 10 Skill 20 - Represent a 2-digit number as tens and ones Skill 21 - Determine the 2-digit number represented as tens and ones Skill 26 - Represent a 3-digit number as hundreds, tens, and ones Skill 27 - Determine the 3-digit number represented as hundreds, tens, and ones Skill 29 - Represent a 3-digit whole number in expanded form NC 1.02.a - Represent fractions (halves, thirds, fourths) concretely and symbolically. Page 6 of 54

STAR Math Enterprise Grade 2 North Carolina, Math, 2003, Grade 2, STAR Math Enterprise NC 1.02.b - Compare fractions (halves, thirds, fourths) using models. NC 1.02.c - Make different representations of the same fraction. NC 1.02.d - Combine fractions to describe parts of a whole. NC 1.03 - Create, model, and solve problems that involve addition, subtraction, equal grouping, and division into halves, thirds, and fourths (record in fraction form). NC 1.04 - Develop fluency with multidigit addition and subtraction through 999 using multiple strategies. NC 1.04.a - Strategies for adding and subtracting numbers. Skill 54 - WP: Add a 2-digit number and a 1-digit number without regrouping Skill 59 - WP: Subtract a 1-digit number from a 2-digit number without regrouping Skill 60 - WP: Add two 2-digit numbers without regrouping Skill 61 - WP: Subtract a 2-digit number from a 2-digit number without regrouping Skill 64 - WP: Add two 3-digit numbers without regrouping Skill 65 - WP: Subtract a 3-digit number from a 3-digit number without regrouping Skill 71 - WP: Add a 2-digit number and a 1- or 2-digit number with regrouping Skill 75 - WP: Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Skill 53 - Add a 2-digit number and a 1-digit number without regrouping Skill 55 - Add two 2-digit numbers without regrouping Skill 56 - Subtract a 1-digit number from a 2-digit number without regrouping Skill 58 - Subtract a 2-digit number from a 2-digit number without regrouping Skill 68 - Add three 1-digit numbers Skill 70 - Add a 2-digit number and a 1- or 2-digit number with regrouping Page 7 of 54

STAR Math Enterprise Grade 2 North Carolina, Math, 2003, Grade 2, STAR Math Enterprise Skill 72 - Add 2- and 3-digit numbers with no more than one regrouping NC 1.04.b - Estimation of sums and differences in appropriate situations. NC 1.04.c - Relationships between operations. NC 1.05 - Create and solve problems using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens and hundreds. Skill 73 - Add two 3-digit numbers with one regrouping Skill 74 - Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Skill 76 - Subtract a 1- or 2-digit number from a 3-digit number with one regrouping Skill 77 - Subtract a 3-digit number from a 3-digit number with one regrouping Skill 80 - Subtract a 2- or 3-digit number from a 3-digit number with two regroupings Skill 54 - WP: Add a 2-digit number and a 1-digit number without regrouping Skill 59 - WP: Subtract a 1-digit number from a 2-digit number without regrouping Skill 60 - WP: Add two 2-digit numbers without regrouping Skill 61 - WP: Subtract a 2-digit number from a 2-digit number without regrouping Skill 64 - WP: Add two 3-digit numbers without regrouping Skill 65 - WP: Subtract a 3-digit number from a 3-digit number without regrouping Skill 71 - WP: Add a 2-digit number and a 1- or 2-digit number with regrouping Skill 75 - WP: Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Skill 83 - WP: Add 3- and 4-digit whole numbers with regrouping Skill 84 - WP: Subtract 3- and 4-digit whole numbers with regrouping Page 8 of 54

STAR Math Enterprise Grade 2 North Carolina, Math, 2003, Grade 2, STAR Math Enterprise NC 1.06 - Define and recognize odd and even numbers. - Measurement NC 2 - The learner will recognize and use standard units of metric and customary measurement. NC 2.01 - Estimate and measure using appropriate units. NC 2.01.a - Length (meters, centimeters, feet, inches, yards). NC 2.01.b - Temperature (Fahrenheit). NC 2.02 - Tell time at the five-minute intervals. - Geometry NC 3 - The learner will perform simple transformations. NC 3.01 - Combine simple figures to create a given shape. NC 3.02 - Describe the change in attributes as two- and threedimensional figures are cut and rearranged. NC 3.03 - Identify and make: NC 3.03.a - Symmetric figures. NC 3.03.b - Congruent figures. - Data Analysis and Probability NC 4 - The learner will understand and use data and simple probability concepts. NC 4.01 - Collect, organize, describe Domain 4 - Data Analysis, and display data using Venn Statistics, and Probability (SP) diagrams (three sets) and pictographs where symbols represent multiple units (2's, 5's, 10's). Skill 18 - Identify odd and even numbers less than 100 Skill 430 - Measure length in inches Skill 431 - Measure length in centimeters Skill 447 - Tell time to the quarter hour Skill 448 - Tell time to 5-minute intervals Skill 418 - Identify a line of symmetry Skill 480 - Identify figures that are the same size and shape Skill 542 - Use a pictograph to represent data (1 symbol = more than 1 object) NC 4.02 - Conduct simple probability experiments; describe the results and make predictions. - Algebra NC 5 - The learner will recognize and represent patterns and simple mathematical relationships. NC 5.01 - Identify, describe, translate, and extend repeating and growing patterns. Page 9 of 54 Skill 14 - Complete a skip pattern starting from a multiple of 2, 5, or 10

STAR Math Enterprise Grade 2 North Carolina, Math, 2003, Grade 2, STAR Math Enterprise Skill 15 - Complete a skip pattern of 2 or 5 starting from any number Skill 16 - Complete a skip pattern of 10 starting from any number Skill 17 - Count on by 100s from any number Domain 2 - Algebra (AL) Skill 303 - Determine the rule for an addition or subtraction number pattern Skill 304 - Extend a number pattern involving addition Skill 305 - Extend a number pattern involving subtraction NC 5.02 - Write addition and subtraction number sentences to represent a problem; use symbols to represent unknown quantities. Skill 62 - WP: Determine a basic addition-fact number sentence for a given situation Skill 63 - WP: Determine a basic subtraction-fact number sentence for a given situation Page 10 of 54

STAR Math Enterprise Grade 3 North Carolina, Math, 2003, Grade 3, - Number and Operations NC 1 - The learner will model, identify, and compute with whole numbers through 9,999. NC 1.01 - Develop number sense for whole numbers through 9,999. NC 1.01.a - Connect model, number word, and number using a variety of representations. NC 1.01.b - Build understanding of place value (ones through thousands). STAR Math Enterprise Skill 30 - Relate a 3-digit whole number to its word form Skill 25 - Identify the place of a digit in a 3-digit number Skill 35 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Skill 36 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones NC 1.01.c - Compare and order. Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = NC 1.02 - Develop fluency with multidigit addition and subtraction through 9,999 using: NC 1.02.a - Strategies for adding and subtracting numbers. Skill 39 - Order 4-digit whole numbers in ascending or descending order Skill 72 - Add 2- and 3-digit numbers with no more than one regrouping NC 1.02.b - Estimation of sums and differences in appropriate situations. Page 11 of 54 Skill 73 - Add two 3-digit numbers with one regrouping Skill 74 - Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Skill 76 - Subtract a 1- or 2-digit number from a 3-digit number with one regrouping Skill 77 - Subtract a 3-digit number from a 3-digit number with one regrouping Skill 78 - Add 3- and 4-digit whole numbers with regrouping Skill 80 - Subtract a 2- or 3-digit number from a 3-digit number with two regroupings Skill 81 - Subtract 3- and 4-digit whole numbers with regrouping Skill 66 - Estimate a sum or difference of 2- to 4-digit whole numbers using any method

STAR Math Enterprise Grade 3 North Carolina, Math, 2003, Grade 3, STAR Math Enterprise NC 1.02.c - Relationships between operations. NC 1.03 - Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using: NC 1.03.a - Strategies for multiplying and dividing numbers. NC 1.03.b - Estimation of products and quotients in appropriate situations. NC 1.03.c - Relationships between operations. NC 1.04 - Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division. NC 1.05 - Use area or region models and set models of fractions to explore part-whole relationships. NC 1.05.a - Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths). NC 1.05.b - Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons. NC 1.05.c - Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths. NC 1.05.d - Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers. NC 1.05.e - Understand and use mixed numbers and their equivalent fraction forms. Skill 67 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method Skill 87 - Know basic multiplication facts to 10 x 10 Skill 104 - Know basic division facts to 100 10 Skill 106 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Page 12 of 54

STAR Math Enterprise Grade 3 North Carolina, Math, 2003, Grade 3, STAR Math Enterprise NC 1.06 - Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil. Skill 71 - WP: Add a 2-digit number and a 1- or 2-digit number with regrouping Skill 75 - WP: Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Skill 83 - WP: Add 3- and 4-digit whole numbers with regrouping Skill 84 - WP: Subtract 3- and 4-digit whole numbers with regrouping Skill 88 - WP: Multiply using basic facts to 10 x 10 Skill 90 - WP: Multiply a 2-digit whole number by a 1-digit whole number without regrouping Skill 105 - WP: Divide using basic facts to 100 10 Skill 107 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient - Measurement NC 2 - The learner will recognize and use standard units of metric and customary measurement. NC 2.01 - Solve problems using measurement concepts and procedures involving: NC 2.01.a - Elapsed time. NC 2.01.b - Equivalent measures within the same measurement system. NC 2.02 - Estimate and measure using appropriate units. NC 2.02.a - Capacity (cups, pints, quarts, gallons, liters). NC 2.02.b - Length (miles, kilometers) NC 2.02.c - Mass (ounces, pounds, grams, kilograms). Page 13 of 54 Skill 450 - Calculate elapsed time exceeding an hour with regrouping Skill 451 - WP: Calculate elapsed time exceeding an hour with regrouping hours Skill 435 - Convert between inches, feet, and yards Skill 436 - Convert between customary units of capacity Skill 437 - Convert within metric units of mass, length, and capacity

STAR Math Enterprise Grade 3 North Carolina, Math, 2003, Grade 3, STAR Math Enterprise NC 2.02.d - Temperature (Fahrenheit, Celsius). - Geometry NC 3 - The learner will recognize and use basic geometric properties of twoand three-dimensional figures. Skill 432 - Read a thermometer in degrees Fahrenheit or Celsius NC 3.01 - Use appropriate vocabulary to compare, describe, and classify two- and three-dimensional figures. NC 3.02 - Use a rectangular coordinate system to solve problems. NC 3.02.a - Graph and identify points Domain 2 - Algebra (AL) with whole number and/or letter coordinates. NC 3.02.b - Describe the path between given points on the plane. - Data Analysis and Probability NC 4 - The learner will understand and use data and simple probability concepts. NC 4.01 - Collect, organize, analyze, Domain 4 - Data Analysis, and display data (including circle Statistics, and Probability (SP) graphs and tables) to solve problems. Skill 416 - Determine the common attributes in a set of geometric shapes Skill 318 - Determine the ordered pair of a point in the first quadrant Skill 525 - Read a table Skill 526 - Answer a question using information from a table Skill 532 - Read a circle graph Skill 533 - Answer a question using information from a circle graph NC 4.02 - Determine the number of permutations and combinations of up to three items. NC 4.03 - Solve probability problems using permutations and combinations. - Algebra NC 5 - The learner will recognize, determine, and represent patterns and simple mathematical relationships. NC 5.01 - Describe and extend numeric and geometric patterns. Skill 14 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Skill 15 - Complete a skip pattern of 2 or 5 starting from any number Skill 16 - Complete a skip pattern of 10 starting from any number Page 14 of 54

STAR Math Enterprise Grade 3 North Carolina, Math, 2003, Grade 3, STAR Math Enterprise Skill 17 - Count on by 100s from any number Domain 2 - Algebra (AL) Skill 303 - Determine the rule for an addition or subtraction number pattern Skill 304 - Extend a number pattern involving addition Skill 305 - Extend a number pattern involving subtraction NC 5.02 - Extend and find missing terms of repeating and growing patterns. Skill 14 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Skill 15 - Complete a skip pattern of 2 or 5 starting from any number Skill 16 - Complete a skip pattern of 10 starting from any number Skill 17 - Count on by 100s from any number Domain 2 - Algebra (AL) Skill 303 - Determine the rule for an addition or subtraction number pattern Skill 304 - Extend a number pattern involving addition Skill 305 - Extend a number pattern involving subtraction Skill 306 - Identify a missing figure in a growing pictorial or nonnumeric pattern Skill 428 - Identify a missing figure in a geometric pattern NC 5.03 - Use symbols to represent unknown quantities in number sentences. NC 5.04 - Find the value of the unknown in a number sentence. Domain 2 - Algebra (AL) Skill 339 - Determine a missing addend in a number sentence involving 2-digit numbers Page 15 of 54

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, - Number and Operations NC 1 - The learner will read, write, model, and compute with nonnegative rational numbers. NC 1.01 - Develop number sense for rational numbers 0.01 through 99,999. NC 1.01.a - Connect model, number word, and number using a variety of representations. NC 1.01.b - Build understanding of place value (hundredths through ten thousands). STAR Math Enterprise Skill 38 - Relate a 4- or 5-digit whole number to its word form Skill 168 - Determine the decimal number from a pictorial model of tenths or hundredths Skill 169 - Identify a pictorial model of tenths or hundredths of a decimal number Skill 172 - Read a decimal number through the hundredths place Skill 33 - Determine the value of a digit in a 4- or 5-digit whole number Skill 34 - Determine which digit is in a specified place in a 4- or 5-digit whole number Skill 35 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Skill 36 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones NC 1.01.c - Compare and order rational numbers. Page 16 of 54 Skill 37 - Represent a 4-digit whole number in expanded form Skill 41 - Determine the 4- or 5-digit whole number represented in expanded form Skill 42 - Represent a 5-digit whole number in expanded form Skill 177 - Identify the place of a digit in a decimal number through hundredths Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = Skill 39 - Order 4-digit whole numbers in ascending or descending order Skill 126 - Compare fractions using models Skill 127 - Order fractions using models

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, STAR Math Enterprise NC 1.01.d - Make estimates of rational numbers in appropriate situations. NC 1.02 - Develop fluency with multiplication and division: NC 1.02.a - Two-digit by two-digit multiplication (larger numbers with calculator). Skill 131 - Compare fractions with unlike denominators Skill 132 - Order fractions with unlike denominators in ascending or descending order Skill 173 - Compare decimal numbers through the hundredths place Skill 174 - Order decimal numbers through the hundredths place Skill 89 - Multiply a 2-digit whole number by a 1-digit whole number with no regrouping Skill 92 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Skill 94 - Multiply a 3- or 4-digit whole number by a 1-digit whole number NC 1.02.b - Up to three-digit by twodigit division (larger numbers with calculator). NC 1.02.c - Strategies for multiplying and dividing numbers. NC 1.02.d - Estimation of products and quotients in appropriate situations. Page 17 of 54 Skill 95 - Multiply a 2-digit whole number by a 1- or 2-digit whole number with regrouping Skill 97 - Multiply a 2-digit whole number by a 2-digit whole number Skill 106 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill 111 - Divide whole numbers with no remainder in the quotient Skill 115 - Divide a 2- or 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 118 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Skill 119 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Skill 93 - Apply the distributive property to multiply a multi-digit number by a 1-digit number Skill 100 - WP: Estimate a product of two whole numbers using any method

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, STAR Math Enterprise NC 1.02.e - Relationships between operations. NC 1.03 - Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers. NC 1.04 - Develop fluency with addition and subtraction of nonnegative rational numbers with like denominators, including decimal fractions through hundredths. NC 1.04.a - Develop and analyze strategies for adding and subtracting numbers. NC 1.04.b - Estimate sums and differences. NC 1.04.c - Judge the reasonableness of solutions. NC 1.05 - Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil. Skill 114 - WP: Estimate a quotient using any method Skill 223 - WP: Estimate the product of two decimals Skill 239 - WP: Estimate the quotient of two decimals Skill 133 - Add fractions with like 1- digit denominators Skill 135 - Subtract fractions with like 1-digit denominators Skill 191 - Estimate the sum of two decimal numbers Skill 199 - Estimate the difference of two decimal numbers Skill 90 - WP: Multiply a 2-digit whole number by a 1-digit whole number without regrouping Skill 98 - WP: Multiply a multi-digit whole number by a 1-digit whole number Skill 101 - WP: Multiply whole numbers Skill 107 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill 108 - WP: Solve a 2-step whole number problem using more than one operation Page 18 of 54

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, STAR Math Enterprise Skill 109 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Skill 112 - WP: Divide whole numbers with no remainder in the quotient Skill 116 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient - Measurement NC 2 - The learner will understand and use perimeter and area. NC 2.01 - Develop strategies to determine the area of rectangles and the perimeter of plane figures. Skill 117 - WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill 120 - WP: Solve a 2-step problem involving whole numbers Skill 134 - WP: Add fractions with like denominators no greater than 10 and simplify the sum Skill 136 - WP: Subtract fractions with like denominators no greater than 10 Skill 137 - WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Skill 138 - WP: Add fractions with like denominators and simplify the sum Skill 139 - WP: Subtract fractions with like denominators and simplify the difference Skill 452 - Determine the perimeter of a triangle Skill 453 - Determine the perimeter of a rectangle given a picture showing length and width Skill 454 - Determine the perimeter of a square Skill 455 - WP: Determine the perimeter of a rectangle Skill 460 - Determine the area of a square Skill 461 - Determine the area of a rectangle given the length and width Page 19 of 54

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, STAR Math Enterprise NC 2.02 - Solve problems involving perimeter of plane figures and areas of rectangles. - Geometry NC 3 - The learner will recognize and use geometric properties and relationships. NC 3.01 - Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant. NC 3.02 - Describe the relative position of lines using concepts of parallelism and perpendicularity. NC 3.03 - Identify, predict, and describe the results of transformations of plane figures. NC 3.03.a - Reflections. NC 3.03.b - Translations. NC 3.03.c - Rotations. - Data Analysis and Probability NC 4 - The learner will understand and use graphs, probability, and data analysis. NC 4.01 - Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems. Domain 2 - Algebra (AL) Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 456 - Determine the missing side length of a rectangle given a side length and the perimeter Skill 462 - WP: Determine the area of a rectangle Skill 463 - Determine the missing side length of a rectangle given a side length and the area Skill 464 - WP: Determine the area of a square or rectangle Skill 318 - Determine the ordered pair of a point in the first quadrant Skill 419 - Identify parallel lines Skill 534 - Read a line graph Skill 535 - Answer a question using information from a line graph Skill 536 - Read a double-bar graph Skill 537 - Answer a question using information from a double-bar graph NC 4.02 - Describe the distribution of data using median, range and mode. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 545 - Use a line graph to represent data Skill 546 - Use a double-bar graph to represent data Skill 551 - Determine the median of an odd number of data values NC 4.03 - Solve problems by comparing two sets of related data. Page 20 of 54

STAR Math Enterprise Grade 4 North Carolina, Math, 2003, Grade 4, STAR Math Enterprise NC 4.04 - Design experiments and list all possible outcomes and probabilities for an event. - Algebra NC 5 - The learner will demonstrate an understanding of mathematical relationships. NC 5.01 - Identify, describe, and generalize relationships in which: NC 5.01.a - Quantities change Domain 2 - Algebra (AL) Skill 309 - Determine a rule that proportionally. NC 5.01.b - Change in one quantity relates to change in a second quantity. NC 5.02 - Translate among symbolic, numeric, verbal, and pictorial representations of number relationships. NC 5.03 - Verify mathematical relationships using: NC 5.03.a - Models, words, and numbers. NC 5.03.b - Order of operations and the identity, commutative, associative, and distributive properties. Domain 2 - Algebra (AL) relates two variables Skill 310 - Determine the variable expression with one operation for a table of paired numbers Skill 311 - WP: Determine the variable expression with one operation for a table of paired numbers Page 21 of 54

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, - Number and Operations NC 1 - The learner will understand and compute with non-negative rational numbers. NC 1.01 - Develop number sense for rational numbers 0.001 through 999,999. NC 1.01.a - Connect model, number word, and number using a variety of representations. NC 1.01.b - Build understanding of place value (thousandths through hundred thousands). STAR Math Enterprise Skill 38 - Relate a 4- or 5-digit whole number to its word form Skill 168 - Determine the decimal number from a pictorial model of tenths or hundredths Skill 169 - Identify a pictorial model of tenths or hundredths of a decimal number Skill 170 - Identify a decimal number to tenths represented by a point on a number line Skill 172 - Read a decimal number through the hundredths place Skill 33 - Determine the value of a digit in a 4- or 5-digit whole number Skill 34 - Determine which digit is in a specified place in a 4- or 5-digit whole number Skill 35 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Skill 36 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones NC 1.01.c - Compare and order rational numbers. Page 22 of 54 Skill 37 - Represent a 4-digit whole number in expanded form Skill 40 - Determine the value of a digit in a 6-digit number Skill 41 - Determine the 4- or 5-digit whole number represented in expanded form Skill 42 - Represent a 5-digit whole number in expanded form Skill 177 - Identify the place of a digit in a decimal number through hundredths Skill 43 - Order 4- to 6-digit whole numbers in ascending or descending order Skill 131 - Compare fractions with unlike denominators

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, STAR Math Enterprise NC 1.01.d - Make estimates of rational numbers in appropriate situations. NC 1.02 - Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers). NC 1.02.a - Develop and analyze strategies for adding and subtracting numbers. Skill 132 - Order fractions with unlike denominators in ascending or descending order Skill 167 - Compare numbers in decimal and fractional forms Skill 178 - Compare decimal numbers of differing places to thousandths Skill 179 - Order decimal numbers of differing places to thousandths in ascending or descending order Skill 145 - Add fractions with unlike denominators that have factors in common and simplify the sum Skill 146 - Add fractions with unlike 1- digit denominators Skill 148 - Add fractions with unlike denominators that have no factors in common Skill 149 - Add mixed numbers with unlike denominators Skill 152 - Subtract fractions with unlike denominators that have factors in common and simplify the difference Skill 153 - Subtract fractions with unlike 1-digit denominators Skill 155 - Subtract fractions with unlike denominators that have no factors in common Skill 156 - Subtract mixed numbers with unlike denominators Skill 188 - Determine the sum of a whole number and a decimal number to hundredths Skill 192 - Add two decimal numbers of differing places to thousandths Skill 195 - Add decimal numbers and whole numbers Page 23 of 54

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, STAR Math Enterprise Skill 196 - Subtract two decimal numbers of differing places to thousandths Skill 201 - Subtract a decimal NC 1.02.b - Estimate sums and differences. number from a whole number Skill 150 - Estimate the sum of mixed numbers Skill 158 - Estimate the sum of fractions with unlike 1-digit denominators Skill 159 - Estimate the difference between fractions with unlike 1-digit denominators Skill 160 - Estimate the difference between mixed numbers with unlike denominators Skill 190 - Estimate the sum of a whole number and a decimal number NC 1.02.c - Judge the reasonableness of solutions. NC 1.03 - Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil. Page 24 of 54 Skill 191 - Estimate the sum of two decimal numbers Skill 193 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method Skill 194 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 199 - Estimate the difference of two decimal numbers Skill 200 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 203 - Estimate the difference of a whole number and a decimal number Skill 147 - WP: Add fractions with unlike 1-digit denominators Skill 151 - WP: Add mixed numbers with unlike denominators Skill 154 - WP: Subtract fractions with unlike 1-digit denominators Skill 157 - WP: Subtract mixed numbers with unlike denominators

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, STAR Math Enterprise Skill 197 - WP: Add or subtract decimal numbers through thousandths Skill 198 - WP: Add or subtract a decimal number through thousandths and a whole number Skill 202 - WP: Subtract a decimal number from a whole number - Measurement NC 2 - The learner will recognize and use standard units of metric and customary measurement. NC 2.01 - Estimate the measure of an object in one system given the measure of that object in another system. NC 2.02 - Identify, estimate, and measure the angles of plane figures using appropriate tools. - Geometry NC 3 - The learner will understand and use properties and relationships of plane figures. NC 3.01 - Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons. NC 3.02 - Make and test conjectures about polygons involving: NC 3.02.a - Sum of the measures of interior angles. NC 3.02.b - Lengths of sides and diagonals. NC 3.02.c - Parallelism and perpendicularity of sides and diagonals. NC 3.03 - Classify plane figures according to types of symmetry (line, rotational). NC 3.04 - Solve problems involving the properties of triangles, quadrilaterals, and other polygons. NC 3.04.a - Sum of the measures of interior angles. NC 3.04.b - Lengths of sides and diagonals. NC 3.04.c - Parallelism and perpendicularity of sides and diagonals. - Data Analysis and Probability Page 25 of 54 Skill 439 - Determine the approximate value of a unit converted between customary and metric measures Skill 438 - Identify an angle given its measure Skill 501 - Determine a missing angle measure in a triangle

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, STAR Math Enterprise NC 4 - The learner will understand and use graphs and data analysis. NC 4.01 - Collect, organize, analyze, and display data (including stem-andleaf plots) to solve problems. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 534 - Read a line graph Skill 535 - Answer a question using information from a line graph Skill 536 - Read a double-bar graph Skill 537 - Answer a question using information from a double-bar graph NC 4.02 - Compare and contrast different representations of the same data; discuss the effectiveness of each representation. NC 4.03 - Solve problems with data from a single set or multiple sets of data using median, range, and mode. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 545 - Use a line graph to represent data Skill 546 - Use a double-bar graph to represent data Skill 551 - Determine the median of an odd number of data values - Algebra NC 5 - The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation. NC 5.01 - Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols. Domain 2 - Algebra (AL) Skill 552 - Determine the median of an even number of data values Skill 306 - Identify a missing figure in a growing pictorial or nonnumeric pattern Skill 308 - Identify a missing term in a multiplication or a division number pattern Skill 309 - Determine a rule that relates two variables Skill 310 - Determine the variable expression with one operation for a table of paired numbers Skill 311 - WP: Determine the variable expression with one operation for a table of paired numbers Page 26 of 54

STAR Math Enterprise Grade 5 North Carolina, Math, 2003, Grade 5, STAR Math Enterprise Skill 312 - WP: Generate a table of paired numbers based on a variable expression with one operation NC 5.02 - Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems. Domain 2 - Algebra (AL) Skill 351 - WP: Use a 2-variable equation to represent a situation involving a direct proportion Skill 356 - WP: Use a 1-variable 1- step equation to represent a situation NC 5.03 - Identify, describe, and analyze situations with constant or varying rates of change. Page 27 of 54

STAR Math Enterprise Grade 6 North Carolina, Math, 2003, Grade 6, STAR Math Enterprise - Number and Operations NC 1 - The learner will understand and compute with rational numbers. NC 1.01 - Develop number sense for negative rational numbers. NC 1.01.a - Connect the model, number word, and number using a variety of representations, including the number line. NC 1.01.b - Compare and order. NC 1.01.c - Make estimates in appropriate situations. NC 1.02 - Develop meaning for percents. NC 1.02.a - Connect the model, number word, and number using a variety of representations. NC 1.02.b - Make estimates in appropriate situations. NC 1.03 - Compare and order rational numbers. NC 1.04 - Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers. Page 28 of 54 Skill 254 - Estimate the percent a whole number is of another whole number Skill 256 - Estimate a given percent of a number Skill 131 - Compare fractions with unlike denominators Skill 132 - Order fractions with unlike denominators in ascending or descending order Skill 167 - Compare numbers in decimal and fractional forms Skill 178 - Compare decimal numbers of differing places to thousandths Skill 179 - Order decimal numbers of differing places to thousandths in ascending or descending order Skill 145 - Add fractions with unlike denominators that have factors in common and simplify the sum Skill 146 - Add fractions with unlike 1- digit denominators Skill 148 - Add fractions with unlike denominators that have no factors in common Skill 149 - Add mixed numbers with unlike denominators Skill 152 - Subtract fractions with unlike denominators that have factors in common and simplify the difference

STAR Math Enterprise Grade 6 North Carolina, Math, 2003, Grade 6, STAR Math Enterprise Skill 153 - Subtract fractions with unlike 1-digit denominators Skill 155 - Subtract fractions with unlike denominators that have no factors in common Skill 156 - Subtract mixed numbers with unlike denominators Skill 192 - Add two decimal numbers of differing places to thousandths Skill 196 - Subtract two decimal numbers of differing places to thousandths Skill 201 - Subtract a decimal number from a whole number Skill 207 - Multiply a fraction by a fraction Skill 208 - Multiply a mixed number by a whole number Skill 209 - Multiply a mixed number by a fraction Skill 210 - Determine the reciprocal of a positive whole number, a proper fraction, or an improper fraction Skill 211 - Divide a fraction by a fraction Skill 212 - Divide a whole number by a fraction resulting in a fractional quotient Skill 214 - Divide a fraction by a whole number resulting in a fractional quotient Skill 218 - Multiply mixed numbers Skill 219 - Divide mixed numbers Skill 220 - Multiply a decimal number through thousandths by 10, 100, or 1,000 Skill 221 - Multiply a decimal number through thousandths by a whole number Skill 224 - Multiply two decimal numbers Skill 226 - Multiply decimal numbers less than one in hundredths or thousandths Skill 227 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places Page 29 of 54 Skill 228 - Divide a decimal number by 10, 100, or 1,000

STAR Math Enterprise Grade 6 North Carolina, Math, 2003, Grade 6, STAR Math Enterprise Skill 229 - Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Skill 231 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole number Skill 233 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Skill 234 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed NC 1.04.a - Analyze computational strategies. NC 1.04.b - Describe the effect of operations on size. NC 1.04.c - Estimate the results of computations. NC 1.04.d - Judge the reasonableness of solutions. NC 1.05 - Develop fluency in the use of factors, multiples, exponential notation, and prime factorization. Skill 235 - Divide decimal numbers Skill 237 - Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Skill 150 - Estimate the sum of mixed numbers Skill 158 - Estimate the sum of fractions with unlike 1-digit denominators Skill 159 - Estimate the difference between fractions with unlike 1-digit denominators Skill 160 - Estimate the difference between mixed numbers with unlike denominators Skill 142 - Identify the prime factors of a 2-digit number Skill 143 - Determine the greatest common factor of two whole numbers Skill 144 - Determine the least common multiple of two whole numbers Page 30 of 54

STAR Math Enterprise Grade 6 North Carolina, Math, 2003, Grade 6, STAR Math Enterprise NC 1.06 - Use exponential, scientific, and calculator notation to write very large and very small numbers. Skill 46 - Convert a whole number greater than 10 to scientific notation NC 1.07 - Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil. Skill 184 - Convert a number less than 1 to scientific notation Skill 185 - Convert a number less than 1 from scientific notation to standard form Skill 147 - WP: Add fractions with unlike 1-digit denominators Skill 151 - WP: Add mixed numbers with unlike denominators Skill 154 - WP: Subtract fractions with unlike 1-digit denominators Skill 157 - WP: Subtract mixed numbers with unlike denominators Skill 189 - WP: Determine the sum of a decimal number and a whole number Skill 197 - WP: Add or subtract decimal numbers through thousandths Skill 198 - WP: Add or subtract a decimal number through thousandths and a whole number Skill 202 - WP: Subtract a decimal number from a whole number Skill 213 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction Skill 215 - WP: Multiply or divide a fraction by a fraction Skill 216 - WP: Solve a 2-step problem involving fractions Skill 217 - WP: Solve a multi-step problem involving fractions or mixed numbers Skill 222 - WP: Multiply a decimal number through thousandths by a whole number Skill 225 - WP: Multiply two decimal numbers Skill 230 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Page 31 of 54

STAR Math Enterprise Grade 6 North Carolina, Math, 2003, Grade 6, STAR Math Enterprise - Measurement NC 2 - The learner will select and use appropriate tools to measure twoand three-dimensional figures. NC 2.01 - Estimate and measure length, perimeter, area, angles, weight, and mass of two- and threedimensional figures, using appropriate tools. NC 2.02 - Solve problems involving perimeter/circumference and area of plane figures. Skill 232 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Skill 236 - WP: Divide a whole number by a decimal number Skill 238 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Skill 240 - WP: Solve a 2-step problem involving decimals Skill 241 - WP: Solve a multi-step problem involving decimal numbers Skill 457 - WP: Determine the perimeter or the area of a complex shape Skill 458 - Solve a problem involving the circumference of a circle - Geometry NC 3 - The learner will understand and use properties and relationships of geometric figures in the coordinate plane. NC 3.01 - Identify and describe the intersection of figures in a plane. Skill 463 - Determine the missing side length of a rectangle given a side length and the area Skill 465 - Determine the area of a right triangle Skill 466 - Use a formula to determine the area of a triangle Skill 467 - WP: Determine the area of a triangle Skill 468 - WP: Determine a missing dimension given the area and another dimension Skill 469 - Determine the area of a complex shape Page 32 of 54