Task Teacher Guide

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Students will explore ratios represented as percentages.

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The purpose of the Day 4 activities is to reinforce key concepts from Day 1. 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:

• A part of a whole represented as a percentage is a part-whole ratio whose whole is 100;
• A percentage is one of infinitely many equivalent part-whole ratios in a ratio relationship;
• A percentage can be used to scale in tandem and reveal an infinite number of equivalent ratios in a ratio relationship;
• Partitive division can be used to divide a percentage by 100 percent to reveal a rate for the proportional relationship.

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Math Talk

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Represent the following fractions on a 0 – 1 number line. Ask students to build a theoretical probability context that could be represented by each model. Students are encouraged to share the ratio, and to express a percentage. This math talk will create an opportunity to deepen our understanding of theoretical probability, and explore equivalence.

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Purposeful Practice

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Question #1:

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Question #2:

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Question #3:

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Question #4:

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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

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.