## Task Teacher Guide

Be sure to read the teacher guide prior to running the task. When youâ€™re ready to run the task, use the tabs at the top of the page to navigate through the lesson.

### In This Taskâ€¦

Students will explore the idea of scaling in tandem with a ratio as a composed unit.

### Intentionalityâ€¦

The purpose of the Day 5 activities is to reinforce key concepts from Days 3 & 4. Students will engage in a string of related problems through a math talk and will have an opportunity to complete independent purposeful practice. The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas:

- Unitizing;
- Ratio reasoning through scaling in tandem;
- The relationship between repeated addition and multiplication;
- The relationship between multiplication and division, particularly quotative division;
- A composed unit is one way of defining the relationship that exists in a ratio; and,
- The distributive property of multiplication over addition and over subtraction.

## Math Talk

### String of Related Problems

Here is the string of related problems for this math talk:

10 x 7

9 x 7

8 x 7

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You might consider recording student thinking on a number line.

### Facilitator Notes

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## Purposeful Practice

### Working With Ratios: Ratio Tables

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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.

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## Resources and Downloads

## Printable Handout

## Explore The Entire Unit of Study

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

Click the links at the top of this task to head to the other related lessons created for this unit of study.

### How many…

*10 x 7*

### …

*9 x 7*

### …

*8 x 7*

### …

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### …

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### Working With Ratios: Apples and Total Cost

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### Working With Ratios: Grapes and Total Cost

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### Working With Ratios: Energy Bars and Total Cost

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### Working With Ratios: All 3 Ratio Tables

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**Download Editable/Printable Handout**

Become a member to access purposeful practice to display via your projector/TV, download the PDF to upload to your LMS and/or print for students to have a physical copy