Proportional Relationships

Supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.

• 2 Reason abstractly and quantitatively.

• 4 Model with mathematics.

• 5 Use appropriate tools strategically.

• 6 Attend to precision.

• 7 Look for and make use of structure.

8.EE.5 Curriculum Unit

by Allen Wolmer

Worksheet, Formative Assessment, and Activities from

These worksheets can be used in multiple modes. See this page for how it works:

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By Sabrina Bennett and Courtney Bryand

In this unit students will discover how everyday situations can be represented mathematically through proportional relationships. They will explore the use of ratios, rates and proportions as a problem solving tools. Students will examine proportional relationships in a variety of situations including percents, scaling, and purchasing situation (tax, tip, discount, best value etc). This unit provides two levels of learning activities. The seventh grade activities incorporate the seventh grade standards, and seventh grade pre-AP/GT activities compacts the seventh grade curriculum to incorporate both seventh and eighth grade standards. Pre-AP/GT activities can also be used as extension to the 7th grade curriculum. The unit culminates in a final performance assessment that challenges students to redesign a room. Students make decisions about paint and flooring options, and discover their costs as a designer on a RE-Design TV show. In the assessments students will demonstrate their understanding of scaling, unit rates, discounts, and sales tax.

These works are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

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Math Lesson plan on the Pythagorean Theorem and Similar Triangles

The student will be able to calculate understand and apply the Pythagorean Theorem and use similar triangles to solve real world problems that include height and distances. Learning to use the Pythagorean Theorem and similar triangles is important because it helps students learn to use math in everyday situations.

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An entire unit of activities for proportional reasoning (including percents). Designed for classes that need to re-teach a lot of middle school content while also meeting high school Algebra I objectives. Also a great resource for middle school teachers. The approach mixes direct instruction with guided inquiry and real-life applications. Students won't get lost, but they will construct some of the concepts themselves and see how the material applies to their lives.
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