Task Teacher Guide

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Students will continue exploring the idea that different rectangles can have the same area. They will be given the total area of a rectangle and asked to determine the possible dimensions. 

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The purpose of the Day 4 activities is to reinforce key concepts from Day 2. Today, students will formally explore the relationship between perimeter and area. Students will engage in 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. 

• Perimeter measures the distance around a shape;
• Area measures the amount of space occupied within the shape;
• To measure the area of a rectangle, it must be completely covered by units of area (square units), without gaps or overlaps;
• The alignment of square units produces the rows and columns of an array, with the same number of units in each row;
• The array replaces the need to count individual units and makes it possible to calculate an area;
• Both the number of units in each row and the number of units in a column can be determined from the length of the rectangle’s sides;
• Different rectangles can have the same area;
• Rectangles that have the same area do not necessarily have the same perimeter.

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Math Talk

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[accordion-item title=”Overview of This Visual Math Talk”]

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[accordion-item title=”Visual Math Talk Prompt #1 “]

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[accordion-item title=”Visual Math Talk Prompt #2″]

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[accordion-item title=”Visual Math Talk Prompt #3″]

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Purposeful Practice

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[accordion-item title=”Questions: Area of a Triangle”]

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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.