Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to find missing distances needed to find areas of figures and continue to practice the skill of finding areas by working on problems in the provided instructional activity.

Concepts

area, area formulas, area of parallelograms, area of rectangles, area of triangles, trigonometric ratios, pythagorean theorem

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Instructional Ideas

• Review solving quadratic equations in one variable

Classroom Considerations

• Assumes knowledge of trigonometric ratios and special right triangles
• Lesson one in a six-part Area of Polygons unit

• This video is hosted on YouTube

Pros

• Answer key shows the steps necessary to solve the problem
• Includes a video walkthrough of the application problem on the worksheet

Cons

• None

Common Core

SL.9-10.2 SL.11-12.2 MP5 MP6 HSG-SRT.C.8