4th Grade Math
Unit 2: Multiplication and Division of Whole Numbers
Information about the UnitStandards:4.OA.1 Understand that a multiplicative comparison is a situation in which one quantity is multiplied by a specified number to get another quantity. a. 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. b. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison. Use drawings and equations with a symbol or letter for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 4.OA.3 Solve multi-step word problems 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 symbol or letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.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.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. Explain informally why the pattern will continue to develop in this way. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. 4.NBT.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 place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.6 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. 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. 4.MD.8 Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. Students should be able to demonstrate the following skills by the end of the unit.:
Lessons in the Textbook
Chapter 3Lesson 3 pp. 147–152 Multiplication as Comparison
Lesson 4 pp. 153–158 Compare to Solve Problems Lesson 5 pp. 161–166 Multiplication Properties and Division Rules Lesson 7 pp. 173–178 Factors and Multiples Chapter 4Lesson 1 pp. 197-202 Multiples of 10, 100, and 1,000
Lesson 3 pp. 209-214 Hands On: Use Place Value to Multiply Lesson 4 pp. 215-220 Hands On: Use Models to Multiply Lesson 5 pp. 223-228 Multiply by a Two-Digit Number Lesson 6 pp. 229-234 Hands On: Model Regrouping Lesson 7 pp. 235-240 The Distributive Property Lesson 8 pp. 241-246 Multiply with Regrouping Lesson 9 pp. 247-252 Multiply by a Multi-Digit Number Lesson 11 pp. 261-266 Multiply Across Zeros Chapter 5Lesson 1 pp. 279-284 Multiply by Tens
Lesson 3 pp. 293-298 Hands On: Use the Distributive Property to Multiply Lesson 4 pp. 299-304 Multiply by a Two-Digit Number Lesson 5 pp. 305-310 Solve Multi-Step Word Problems Chapter 6Lesson 1 pp. 329-334 Divide Multiples of 10, 100, and 1,000
Lesson 3 pp. 341-346 Hands On: Use Place Value to Divide Lesson 5 pp. 353-358 Divide with Remainders Lesson 6 pp. 359-364 Interpret Remainders Lesson 7 pp. 367-372 Place the First Digit Lesson 8 pp. 373-378 Hands-On: Distributive Property and Partial Quotients Lesson 9 pp. 379-384 Divide Greater Numbers Lesson 10 pp. 387-392 Quotients with Zeros Chapter 7Lesson 1 pp. 413-418 Nonnumeric Patterns
Lesson 2 pp. 419-424 Numeric Patterns Lesson 5 pp. 439-444 Addition and Subtraction Rules Lesson 6 pp. 445-450 Multiplication and Division Rules Math Websites |
Study Guide
PracticeIXL4.OA.1:
Brain Pop4.OA.1:
4.NBT.5:
Study JamsOther Resources4.OA.1, 4.OA.2Multiplication as Comparison
4.OA.44.NBT.51 Digit by 2 or more digits Partial Product
2 digit by 2 digit Multiplication Area Model
4.NBT.6Long Division Traditional Algorithm
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