## DONUT DELIGHT [DAY 3]

### MULTIPLICATION AND DIVISION

Use arrays to develop and understanding of the relationship between multiplication and division.

## Intentionality & Unit Overview

### Access each lesson from this unit using the navigation links below

Students will explore the relationship between partitive and quotative division.

## Intentionalityâ€¦

In this task, students will begin making generalizations about the relationship between quotative and partitive division. Using the same box of 2 400 donuts, students will be tasked with a partitive division problem today.

Some of the big ideas that will emerge in todayâ€™s task include:

• Numbers can be composed and decomposed.
• Multiplication and division are related.
• Quotative division can be accessed through skip counting, repeated addition, multiplication and/or repeated subtraction.
• Partitive division can be assessed through fair sharing (or equal distribution), partitioning and multiplying by a fraction.

## Math Talk

Revisit the context from Day 2, the box of 2 400 donuts partitioned into layers of 800 donuts. Use the following information to practice similar quotative division problems. Students are encouraged to use models as tools and to represent their thinking. The question for each of the following scenarios is, how many layers of donuts are in the box?

400 donuts per layer, 1 200 donuts altogether

700 donuts per layers, 2 800 donuts altogether

450 donuts per layer, 2 250 donuts altogether

325 donuts per layer, 1 300 donuts altogether

## Crafting A Productive Struggle: Prompt

If your school bought this box of doughnuts to split between 8 classes, how many would each class get?

Students are encouraged to work through this problem with partners or in small groups. Students should use models to defend their thinking and convince their community that their answer is correct.

## While Students Are Productively Struggling…

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Student Approach #1: Decomposing Dividend and Fair Sharing

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Student Approach #2: Repeatedly Halving a Bar Model

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Student Approach #3: Repeatedly Halving With A Double Number Line

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Consolidation

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Reflect and Consolidation Prompts

Provide students an opportunity to reflect on their learning by offering this consolidation prompt to be completed independently.

## Consolidation Prompt:

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Educator Discussion Area

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

## Explore Our 60+ Problem Based Units

This Make Math Moments Lesson was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, number talks and extensions to elicit and emerge strategies and mathematical models.

Dig into our other units of study and view by concept continuum, grade or topic!