PYTHAGOREAN THEOREM UNIT

Table of Contents p. 1

p. 3 - 5 Perfect Squares and Square Roots

p. 6 Review Perfect Squares

p. 7 – 8 Label and Identify Right Triangles

p. 9 Label and Identify Right Triangle Quiz

p. 10 -12 Verifying a Right Triangle using the Pythagorean Theorem

TABLE OF CONTENTSP. 2 P. 13 – 14 Measuring Right Triangles

P. 15 – 16 Finding the missing side of a right triangle

P. 17 – 18 Practice Problemsp. 484 – 4 , 6, and 8p. 485 – 12, 14, 18 and 19

P. 19 – 24 Real Life Pythagorean Theorem Inside back History of Pythagorean

Theorem cover

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

HOMEWORK OR PRACTICE P.5

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

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

PERFECT SQUARE STUDY AIDESYou will be making different study aides

to help you review and then study your perfect squares, 1 – 400. These study aides will count as a class grade.

Dot paper Flash cards Flip review Multiplication Facts (1 x 1 = 1) Writing as squares

REVIEW FROM BEFORE BREAK P. 6

Which of the following numbers are perfect squares?

3 8 16 3226 144 12 25681 64 50 324

RIGHT TRIANGLESP. 7 Describe a right triangle.

Define Hypotenuse – Leg –

Draw a right triangle and label the legs and the hypotenuse.

RIGHT TRIANGLES – CONTINUEDP. 8

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

RIGHT TRIANGLES QUIZ P. 9 Quiz will be glued on this page

PYTHAGOREAN THEOREM P. 10 What does the Pythagorean Theorem

verify?

What is the equation for the Pythagorean Theorem? What do each of the letters represent?

PYTHAGOREAN THEOREM – IS IT A RIGHT P. 11 TRIANGLE?

4 5

3

Do these three measurements verify that this is a right triangle?

PYTHAGOREAN THEOREM – IS IT A RIGHT P. 12TRIANGLE?

Verify if the three measurements form a right triangle.

A) 6, 8, and 10

B) 3, 4, and 8

MEASURING RIGHT TRIANGLES P. 13 Larger Triangle

MEASURING RIGHT TRIANGLES P. 14 Smaller triangle

FINDING THE LENGTH OF THE MISSING SIDE P. 15Find the missing length (side) of the right

triangle.c) d)6

8

c5

b12

PYTHAGOREAN THEOREM – WHAT IS THE LENGTH P. 16OF THE MISSING SIDE?

E

F G

5 in

11 in.

What is the length of EG?

HOMEWORK P. 17 - 18

Text book P. 484 – 4, 6, 8

P. 485 – 12, 14, 18, 19

REAL LIFE USE OF PYTHAGOREAN THEOREM P. 19 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 P. 20

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

You are setting up a volleyball net using two 8 foot poles to hold up the net. You are going to attach each pole to a stake in the ground using a piece of rope. Each stake should be 4 feet from the pole. Assume that the ropes are stretched tight. How long should each rope be?

REAL LIFE USE OF PYTHAGOREAN THEOREM P. 21

A 13 foot step ladder is leaning up against a building. The bottom of the ladder is 5 feet from the building. How high up does the ladder meet the wall?

REAL LIFE USE OF PYTHAGOREAN THEOREM P. 22

A kicker is about to attempt a field goal in a football game. The distance from the football to the goal post is 120 feet. The crossbar of the goal post is 10 feet above the ground. Find the distance between the football and the crossbar.

REAL LIFE USE OF PYTHAGOREAN THEOREM P. 23

An isosceles right triangle has a hypotenuse length of 6 feet. Find the length of each leg.

REAL LIFE USE OF PYTHAGOREAN THEOREM P. 24

HISTORY OF PYTHAGOREAN THEOREM Back cover – answers to 10 questions

PYTHAGOREAN THE0REM ROLL-UP 1 – Clean hands 2 – Get supplies

1 piece of construction paperscissorsglue stickwhite color pencilrulernotebook paper

3 - Cut the fruit roll-up in 3 pieces. Do not take fruit roll-up off of its paper.

4 – Form a triangle with the pieces and glue the triangle to a piece of construction paper.

5 – Measure the 3 sides (in cm) and label the right triangle. (Round your measurements to the nearest whole number.) Label the “legs” and “hypotenuse” as well.

6 –Does the three sides form a right triangle or not? Show your work. Explain why or why not. (on notebook paper)

7 – Be sure to put your name on the construction paper. Glue the rubric to your paper.

8 – Clean up your work and pull your fruit roll-up off and enjoy.