This document outlines a geometry lesson plan on the Pythagorean theorem and its applications. The 45 minute lesson includes learning objectives about using the theorem to find missing sides of right triangles and solve problems. Examples are provided to find missing sides, classify triangles using inequalities, and apply the theorem to ladder problems. Students will practice application problems and provide a written summary of how to classify triangles using inequalities. The lesson aims to teach students the Pythagorean theorem and how to use it to solve real-world problems involving right triangles.

1. 8.2:The Pythagorean
Thereom & Its Converse

2. Lesson Overview
Course Geometry
Grade 8
Period 45 minutes
Chapter
Lesson
8
8.2 The Pythagorean Thereom
Standards G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right
triangles in applied problems.
G.MG.3 Apply geometric methods to solve design problems.
Objectives
Students will be able to find the
missing side in right triangles.
Students will be able to use the
Pythagorean Theorem to solve
problems.
Context

3. Thereom

4. Warm Up

5. Example1: Find the missing Side
Which side of a right triangle is represented by the letter c in the
Pythagorean Theorem?
If the legs of a right triangle measure 8 and 15, what is the length of the hypotenuse?
If the hypotenuse of an isosceles right triangle measures 8 units, what are the lengths of the legs?

6. Example1: Find the missing Side

8. Practice

9. Practice

10. On your own Words:
Write the meaning of
Pythagorean Thereom
Wrap Up

11. Thereom

12. Thereom

13. Warm Up
Use Venn Diagram to compare between acute and obtuse triangles.

14. Example 2 Classify the Triangles Using
Inequalities Thereom
What is the definition of an acute triangle? an obtuse triangle?
What is the largest whole number x such that 7, 14, x will create an
acute triangle?
Give an example of three side lengths of a triangle that will form an
acute triangle.

15. Example 2 Classify the Triangles Using
Inequalities Thereom

16. Example 2 Classify the Triangles Using
Inequalities Thereom

18. Practice

19. Write a Summary
How you can
classify triangles
using Inequalities
Theorem
Wrap Up

20. Warm Up

21. Example 3 Use the Pythagorean Thereom
How do we know that the ladder, the house, and the ground form a right triangle?
If Damon borrows a 15-foot ladder, how far from the house would he need to
place the base in order for the top of the ladder to be at the window?
Damon uses a 25-foot ladder placed 15 feet from the base of a house to reach a window.
How tall is the base of the window?

22. Example 3 Use the Pythagorean Thereom

24. How to prove Pythagorean
Thereom

25. Practice

26. Practice

27. Wrap Up