In this lesson, students revisit the relationship between multiplication and division that they learned in prior grades. Specifically, students recall that we can think of multiplication as expressing the number of equal-size groups and that we can find a product if we know the number of groups and the size of each group. They interpret division as a way of finding a missing factor, which can either be the number of groups, or the size of one group. They do so in the context of concrete situations and by using diagrams and equations to support their reasoning.
As they represent division situations with diagrams and equations and interpret division equations in context, students reason quantitatively and abstractly (MP2).
Lesson overview
- 2.1 Warm-up: A Division Expression (5 minutes)
-
2.2 Activity: Bags of Almonds (25 minutes)
- Includes "Are you Ready for More?" extension problem
- Lesson Synthesis
- 2.3 Cool-down: Groups on A Field Trip (5 minutes)
Learning goals:
- Identify or generate a multiplication equation that represents the same relationship as a division expression, and explain (orally) the reasoning.
- Interpret and create tape diagrams that represent situations involving equal-sized groups.
- Recognize there are two different ways to interpret a division expression, i.e., asking “how many groups?” or “how many in each group?”
Learning goals (student facing):
- Let’s explore ways to think about division.
Learning targets (student facing):
- When given a division equation, I can write a multiplication equation that represents the same situation.
- I can explain two ways of interpreting a division expression such as 27÷3.
- I can explain how multiplication and division are related.
Glossary:
- Access the complete Grade 6 glossary.
Standards
- This lesson builds on the standard: CCSS.3.OA.A.2MS.3.OA.2MO.3.RA.A.2
- This lesson builds towards the standard: CCSS.6.NS.AMO.6.NS.A
IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.
Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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