What Is Your Angle, Pythagoras? Overview

Unit Focus

What’s Your Angle, Pythagoras? focuses on the special qualities of right triangles and how they apply to structures and solutions for common problems in the world. The project addresses priority Common Core State Standards for Units 1, 2, and 5 in Traditional Geometry.

It also focuses students on Mathematical Practice 1, Makes sense of problems and persevere in solving them, and Mathematical Practice 4, Model with mathematics. 

You can explore the CCSS here.

In addition, students will practice using online technologies and other resources for geometry. If you want to review the project outcomes again, go back to the Overview of Assessment

Timeline & Duration

3+ weeks, based on approximately 5 hours of class time per week

Project Rating: Beginner

Critical Areas

In this unit, students apply their earlier experience with dilations and proportional reasoning to build a formal understanding of similarity. They identify criteria for similarity of triangles, use similarity to solve problems, and apply similarity in right triangles to understand right triangle trigonometry, with particular attention to special right triangles and the Pythagorean theorem. Students develop the Laws of Sines and Cosines in order to find missing measures of general (not necessarily right) triangles. They are able to distinguish whether three given measures (angles or sides) define 0, 1, 2, or infinitely many triangles.