1. Objectives
Rigor: Use Pythagorean to solve real world applications; write answers in simplest radical form
Relevance: calculate lengths and distances of triangular objects and paths.

2. Notes: Simplest Radical Form

3. Examples: Put each number in simplest radical form

4. Turn to page 223 in the workbook and complete examples 1 & 2.
Put answers in simplest radical form before rounding!

5. Pythagorean Theorem Algebraic Proof

6. Example 1: Using the Pythagorean Theorem
Find the value of x.

7. Example 2: Using the Pythagorean Theorem
Find the value of x. Leave answer in simplest radical form. 6

8. Example 3: Dimensions
Seamus is building a rectangular picture frame. He wants the ratio of the length to the width to be 3:1 and the diagonal to be 12 centimeters. How wide should the frame be? Round to the nearest tenth of a centimeter.

9. Example 4: Dimensions
Shane wants to buy a new TV. He was looking at a 65in TV that had an aspect ratio of 4:3. His entertainment center has a 4.5ft by 4ft rectangular space for a TV. Will a 65in TV fit in that space?

10. A set of three nonzero whole numbers a, b, and c such that a2 + b2 = c2 is called a Pythagorean triple.

11. Example 5: Identifying Pythagorean Triples
Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.

12. 5-7 Classwork Workbook pg 226 ALL Workbook pg 225 #11 – 12
Don’t rip this out of your workbook. Page 225 is the secondary assignment and I don’t want you to lose it!

13. Honors: 5-7 Assignment Primary Assignment: join.quizizz.com Codes:
Period 1: (Due Tuesday)
Period 5: (Due Tuesday)
Period 6: (Due Wednesday)
5-7 Secondary Assignment:
Workbook pg 225 #1 – 10

14. Standard: 5-7 Assignment
Primary Assignment: join.quizizz.com
Codes:
Period 2: (Due Wednesday)
Period 4: (Due Wednesday)
Period 7: (Due Tuesday)
5-7 Secondary Assignment:
Workbook pg 225 #1 – 10