Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 10/2/13, 9:34:57 AM © 2006-2013 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use.

All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 1 of 17 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: < 161 Statements Last Updated: Sep 23, 2013 Goal: Operations and Algebraic Thinking Skills and Concepts to Develop (50% Probability*) < 161 Skills and Concepts to Introduce (27% Probability*) 161 - 170 Represent and Solve Problems Represent and Solve Problems • Uses models to construct whole number addition facts with addends through 10 • Adds two 1-digit numbers with sums to 10 in horizontal format • Uses a number line to construct addition facts with sums through 20 (whole numbers) • Adds two 1-digit numbers with sums to 10 in horizontal format • Adds two 1-digit numbers with sums between 10 and 19 in horizontal format • Adds two 1-digit numbers with sums between 10 and 19 in vertical format • Solves real-world whole number addition problems with sums to 20 (result unknown) • Subtracts a 1-digit number from a 2-digit number that is less than 20 (whole numbers only) • Subtracts two 1-digit numbers vertically • Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12 • Solves basic-facts open sentences - addition and subtraction Analyze Patterns and Relationships Analyze Patterns and Relationships New Vocabulary: None New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: + addition, = is equal to, × multiplication, - subtraction, variable

Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 10/2/13, 9:34:57 AM © 2006-2013 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use.

All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 2 of 17 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 161 - 170 Statements Last Updated: Sep 23, 2013 Goal: Operations and Algebraic Thinking Skills and Concepts to Enhance (73% Probability*) < 161 Skills and Concepts to Develop (50% Probability*) 161 - 170 Skills and Concepts to Introduce (27% Probability*) 171 - 180 Represent and Solve Problems Represent and Solve Problems Represent and Solve Problems • Uses models to construct whole number addition facts with addends through 10 • Adds two 1-digit numbers with sums to 10 in horizontal format • Uses a number line to construct addition facts with sums through 20 (whole numbers) • Adds two 1-digit numbers with sums to 10 in horizontal format • Adds two 1-digit numbers with sums between 10 and 19 in horizontal format • Adds two 1-digit numbers with sums between 10 and 19 in vertical format • Solves real-world whole number addition problems with sums to 20 (result unknown) • Subtracts a 1-digit number from a 2-digit number that is less than 20 (whole numbers only) • Subtracts two 1-digit numbers vertically • Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12 • Solves basic-facts open sentences - addition and subtraction • Uses a number line to construct addition facts with sums through 20 (whole numbers) • Solves real-world whole number addition problems with sums to 20 (result unknown) • Solves real-world whole number addition problems with sums to 20 (start unknown) • Solves real-world whole number addition problems with sums to 100 (result unknown) • Represents a basic facts addition problem with a number sentence • Subtracts a 1-digit number from a 2-digit number that is less than 20 (whole numbers only) • Solves real-world whole number problems involving subtraction with numbers under 20 • Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12 • Multiplies basic facts to 10 x 10 vertically • Adds 1-digit numbers with sums to 18 (with parentheses) • Recognizes addition and subtraction fact families through 18 • Solves basic-facts open sentences - addition and subtraction • Solves basic facts open sentences - multiplication and division • Determines the operation needed from a simple problem • Writes a number sentence for a simple problem solving situation • Counts by 2's to 100 • Writes equivalent forms of whole number expressions (e.g., 15 + 5 = 10 + 10) Analyze Patterns and Relationships Analyze Patterns and Relationships Analyze Patterns and Relationships • Extends a growing arithmetic pattern, defined by numbers • Analyzes a growing, arithmetic pattern with numbers to determine the rule New Vocabulary: None New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: + addition, = is equal to, × multiplication, - subtraction, variable New Vocabulary: fact family New Signs and Symbols: ( ) order of operations, | tally mark