Multiplication and Division within 100

In this set of related math tasks, 3rd Grade students will solve word problems using multiplication and division within 100.  They will move toward using algebraic reasoning involving multiplication and division equations with unknowns.

Standards & Objectives

Learning objectives: 

Students will:

  • Interpret whole-number quotients of whole numbers, e.g., interpret 56 / 8 as the number of objects in each share when 56 objects are partitioned
  • Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g.
  • Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number
  • Understand division as an unknown-factor problem. For example, find 32 / 8 by finding the number that makes 32 when multiplied by 8
Essential and guiding questions: 

How can you use arrays to model multiplication and division?

How can division be used to find how many equal groups or how many are in each group?

What are some different ways to show mathematical explanations or reasoning?

What are some examples of real world problems involving joining or separating equal groups?

How can multiplication and division be used as inverse operations to find division and multiplication facts?

How can unknowns be used in multiplication and division equations to help you solve joining or separating problems?

Task Arc Variations

Blooms taxonomy level: 
Understanding