Level 4: Focused Mathematics Intervention Lesson Correlations

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Lesson Correlations Lesson 1: ing Multiplicative Comparison Lesson 2: Multiplying to Solve Comparison Problems Lesson 3: Dividing to Solve Comparison Problems Lesson 4: Multi-Step Word Problems Lesson 5: Solving Division Word Problems with Remainders Lesson 6: Finding Factor Pairs Gain familiarity with factors and multiples. 4.OA.A.1 Interpret a multiplication equation as a comparison; e.g., interpret 35 = 5 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.A.2 Multiply or divide to solve word problems involving multiplicative comparison; e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 4.OA.A.2 Multiply or divide to solve word problems involving multiplicative comparison; e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 4.OA.A.3 Solve multi-step word problems posed with whole numbers and having wholenumber answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.A.3 Solve multi-step word problems posed with whole numbers and having wholenumber answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.B.4 Find all factor pairs for a whole number in the range 1 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1 100 is prime or composite. (800) 858-7339 www.tcmpub.com B2050 LAUSD FMI Correlations Levels 3_5 Updated 06.01.15 Page 6 of 15

Lesson 7: Determining Prime and Composite Lesson 8: Patterns and Pattern Features Lesson 9: Connecting Place Value to Multiplication and Division Lesson 10: Reading and Writing Multi- Lesson 11: Comparing Multi- Lesson 12: Rounding Multi- Lesson 13: Adding Multi-Digit Numbers Lesson 14: Subtracting Multi- Gain familiarity with factors and multiples. Generate and analyze patterns. for for for for 4.OA.B.4 Find all factor pairs for a whole number in the range 1 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1 100 is prime or composite. 4.OA.C.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. 4.NBT.A.1 Recognize that in a multi-digit whole number, a digit in one place represents 10 times what it represents in the place to its right. 4.NBT.A.2 Read and write numbers using base ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.A.2 Read and write numbers using base ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.A.3 to round multi-digit any place. 4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. Use appropriate tools strategically. Look for and make use of structure. (800) 858-7339 www.tcmpub.com B2050 LAUSD FMI Correlations Levels 3_5 Updated 06.01.15 Page 7 of 15

Lesson 15: Multiplying Multi- I Lesson 16: Multiplying Multi- II Lesson 17: Dividing with Multi-Digit Dividends Lesson 18: Finding Equivalent Lesson 19: Comparing : Common Denominators Lesson 20: Comparing : Benchmark Numbers 4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NF.A.1 Explain why a fraction a/b is equivalent to a fraction (n a)/(n b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent 4.NF.A.2 Compare two fractions with different numerators and different denominators; e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions; e.g., by using a visual fraction model. 4.NF.A.2 Compare two fractions with different numerators and different denominators; e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions; e.g., by using a visual fraction model. (800) 858-7339 www.tcmpub.com B2050 LAUSD FMI Correlations Levels 3_5 Updated 06.01.15 Page 8 of 15

Lesson 21: Adding and Subtracting Lesson 22: Adding and Subtracting Mixed Numbers Lesson 23: Problem Solving with Lesson 24: Multiplying Whole Numbers and Lesson 25: in Tenths and Hundredths Lesson 26: Writing as Decimals Lesson 27: Comparing Decimals 4.NF.B.3.a a fraction a/b with a > 1 as a sum s 1/b; addition and subtraction s as joining and separating parts referring to the same whole. 4.NF.B.3.c a fraction a/b with a > 1 as a sum s 1/b; Add and subtract mixed numbers with like denominators; e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. 4.NF.B.3.d a fraction a/b with a > 1 as a sum s 1/b; Solve word problems involving addition and subtraction s referring to the same whole and having like denominators; e.g., by using visual fraction models and equations to represent the problem. 4.NF.4a: Apply and extend previous s of multiplication to multiply a fraction by a whole number: a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). 4.NF.B.4.b a multiple of a/b as a multiple of 1/b, and use this to multiply a fraction by a whole number. 4.NF.C.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. 4.NF.C.6 Use for fractions with denominators 10 or 100. 4.NF.C.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions; e.g., by using a visual model. Use appropriate tools strategically. (800) 858-7339 www.tcmpub.com B2050 LAUSD FMI Correlations Levels 3_5 Updated 06.01.15 Page 9 of 15

Lesson 28: Problem Solving with Area and Perimeter Lesson 29: Measuring Angles Lesson 30: ing Geometric Language Measurement & Data Measurement & Data Geometry Solve problems involving measurement and conversion of measurements. Geometric measurement: concepts of angles and measure angles. Draw and identify lines and angles, and classify shapes by properties of their lines and angles. 4.MD.A.3 Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. 4.MD.C.5.b Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: An angle that turns through n one-degree angles is said to have an angle measure of n degrees. 4.MD.C.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. 4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. (800) 858-7339 www.tcmpub.com B2050 LAUSD FMI Correlations Levels 3_5 Updated 06.01.15 Page 10 of 15