PYTHAGOREAN THEOREM UNIT

Table of Contents p. 1

p. 3 - 5 Perfect Squares and Square Roots

p. 6 - 7 Right Triangles

p. 8 Right Triangle Quiz

p. 9 - 10 Pythagorean Theorem (notes and examples)

p. 11 - 13 Practice problems on Pythagorean Theorem

TABLE OF CONTENTSP. 2 p. 14 Pythagorean Theorem Notes

p. 15-20 Real Life Pythagorean Theorem

p. 21-24 History of Pythagorean Theorem

p. 25 Rubric

PERFECT SQUARES 1 – 400 P.3 Definition of Perfect squares

List the perfect squares from 1 to 400

SQUARE ROOTS P. 4 Examples: Finding square roots

1. √36 = 2. - √64

3. √4 4. √50 25

SQUARE ROOTS ~ SOLVING THE EQUATION P. 4

1. t2 = 36 2. k2 = 121

3. y2 – 15 = 10

HOMEWORK OR PRACTICE P.5 Workbook – p. 121, 1-8 and 17-22

(hw 1st and 2nd on Monday)

p. 472, 8 – 26 even only (in book) – (on p. 5 in Pyth. Th. Book)

CLASS GRADE P. 121 – 122 odd only (workbook)

WARM-UP P. 26 Take a piece of scratch paper from the

back table and answer the following. Which of the following numbers are perfect

squares? 3 8 16 32

26 144 12 25681 64 50 324

Glue this paper to page 26 in your Pythagorean theorem book.

RIGHT TRIANGLESP. 6 Describe a right triangle.

Draw a right triangle and label the legs and the hypotenuse

Define Hypotenuse – Leg -

RIGHT TRIANGLES – CONTINUEDP. 7

Draw 3 more right triangles turned different ways. Label the legs and hypotenuse on each.

RIGHT TRIANGLES QUIZ Quiz will be glued on this page

PYTHAGOREAN THEOREM What is the point of the Pythagorean

Theorem? What does it proof? What is the equation for the

Pythagorean Theorem?

PYTHAGOREAN THEOREM – IS IT A RIGHT TRIANGLE?

4 5

3

Does these three measurements form a right triangle?

PYTHAGOREAN THEOREM – IS IT A RIGHT TRIANGLE?

Does a triangle with the following measurements form a right triangle?

A) 6, 8, and 10

B) 3, 4, and 8

PYTHAGOREAN THEOREM – WHAT IS THE LENGTH OF THE MISSING SIDE?

E

F G

5 in

11 in.

What is the length of EG?

PYTHAGOREAN THEOREM Practice – p. 483, 2 and 3 Practice – p. 484, 3 – 9 Practice – p. 485, 11 - 16

REAL LIFE USE OF PYTHAGOREAN THEOREM

A 20 foot phone pole needs a new support wire. The wire should be attached to the ground 6 feet from the bottom of the pole. Find the length of the wire.

*First draw a picture to get a visual of what you are finding.*Then label the different measures of the picture.*Finally apply the Pythagorean theorem to the picture to solve for the missing side.

REAL LIFE USE OF PYTHAGOREAN THEOREM

Find the length of the diagonal of a rectangle whose length is 8m and whose width is 5 meters.