The Relationship of Multiplication and Division

Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous activity, pupils discover the relationship between multiplication and division. They develop the identities (a/b) x b = a and (a x b)/b = a by constructing tape diagrams.

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CCSS: Designed
Instructional Ideas

  • Have the class make a hypothesis about the relationship between multiplication and division before conducting the activity
Classroom Considerations

  • Scholars need 20 small square pieces of paper
  • Discussion portion is optional based on how well learners did in previous lesson
  • This is the second lesson in a series of 36
Pros

  • Teacher guide indicates where to look for mathematical practices
  • Provides answer keys to all problems in the lesson
Cons

  • None
Common Core