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Math · Grade 3 Math · Unit 4

Unit 4: Relating Multiplication to Division

Students learn about and use the relationship between multiplication and division, place value understanding, and the properties of operations to multiply and divide whole numbers within 100. They also represent and solve two-step word problems using the four operations.

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Unit

Review the unit’s main ideas.

What this unit covers

A What Is Division? · 5 lessons
Goals
  • Represent and solve “how many groups?” and “how many in each group?” problems.
Lessons
  1. How Many Groups?
  2. How Many in Each Group?
  3. Division Situation Drawings
  4. Interpret Division Expressions
  5. Write Division Expressions
B Relate Multiplication and Division · 6 lessons
Goals
  • Understand division as an unknown-factor problem.
  • Use properties of operations to develop fluency with single-digit multiplication facts, and their related division facts.
Lessons
  1. Division as an Unknown Factor
  2. Relate Multiplication and Division
  3. Relate Quotients to Familiar Products
  4. Patterns in the Multiplication Table
  5. Explore Multiplication Strategies with Rectangles
  6. Multiplication Strategies on Ungridded Rectangles
C Multiplying Greater Numbers · 6 lessons
Goals
  • Use properties of operations and place-value understanding to develop strategies to multiply within 100 and to multiply one-digit numbers by a multiple of 10.
Lessons
  1. Multiply Multiples of 10
  2. Solve Problems with Equal Groups
  3. Ways to Represent Multiplication of Teen Numbers
  4. Equal Groups, Greater Numbers
  5. Multiply Numbers Greater than 20
  6. Use the 4 Operations to Solve Problems
D Dividing Greater Numbers · 5 lessons
Goals
  • Use properties of operations, place-value understanding, and the relationship between multiplication and division to divide within 100.
Lessons
  1. Greater Numbers in Equal Groups
  2. Ways to Divide Greater Numbers
  3. Strategies for Dividing
  4. Solve Problems Using the Four Operations
  5. School Community Garden (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 3 Math · Unit 3 Wrapping Up Addition and Subtraction within 1,000
Grade 2 Math · Unit 8 Equal Groups
← Unit 3 See the whole map Next: Unit 5 · Fractions as Numbers →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.