 A Geometry Instructional Unit Plan: Similarity

By:

Nikki Masson

and

Brook Buckelew

This Unit Plan is designed for Advanced Euclidean Geometry Students in high school. It is designed to take 6 days of instruction for Block Schedule and assessment on the 7th day.

Week 1

Review of triangles and Classification of triangles

Day 1/Lesson 1: Ratio and Proportion

Goals:

1. Understand ratios.

2. Use ratios correctly to solve problems.

3. Learn and understand proportions.

4. Use proportions to solve problems.

Day 2/Lesson 2: Problem Solving in Geometry with Proportions

Goals:

1. Use properties of proportions.

2. Use proportions to solve problems.

Day 3/Lesson 3: Similar Polygons

Goals:

1. Identify similar polygons.

2. Use similar polygons to solve problems.

Day 4/Lesson 4: Similar Triangles

Goals:

1. Identify and Undestand similar triangles.

2. Use similar triangles to solve problems.

Day 5/Lesson 5: Proving Triangles are Similar

Goals:

1. Use similarity theorems to prove that two triangles are similar.

2. Use similar triangles to solve problems.

Week 2

Day 1/Lesson 6: Proportions and Similar Triangles.

Goals:

1. Use proportionality theorems to calculate segment lengths.

References:

Boswell, Larson, and Stiff. Geometry. Evanston, IL: McDougal Littell, 2001.

Beckmann, Sybilla. Mathematics For Elementary Teachers. New York, NY: Pearson, Addison Wesley, 2005.