Unit 10 Overview:

Fourth graders will use strategies based on place value, properties of operations, and the relationship between multiplication and division to solve multiplication problems (up to 4 digit by 1 digit and 2 digit by 2 digit) and division problems (up to 4 digit by 1 digit). Students will understand and solve multiplicative comparison equations and word problems. This knowledge will be applied to solve multi-step word problems involving all four operations (addition, subtraction, multiplication, and division), including those problems where the remainder must be interpreted. Students will represent these problems with equations using a letter to represent the unknown information and they will need to assess reasonableness using mental computation and estimation strategies, including rounding.

1. Students will multiply a whole of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, area models, and/or partial products. (NBT.B.5)
2. Students will find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, 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. (NBT.B.6)
3. Students will interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x7 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. (OA.A.1)
4. Students will 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. (OA.A.2)
5. Students will solve multistep (at least 3 steps) word problems posed with whole numbers and having whole-number 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. (OA.A.3)