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 CONTENTS
P. 2

P. 13 – 14
Measuring Right Triangles

P. 15 – 16

P. 17 – 18
Finding the missing side of a
right triangle
Practice Problems
p. 484 – 4 , 6, and 8
p. 485 – 12, 14, 18 and 19
P. 19 – 24
 Inside back
cover

Real Life Pythagorean Theorem
History of Pythagorean Theorem
PERFECT SQUARES 1 – 400

Definition of Perfect squares

List the perfect squares from 1 to 400
P.3
SQUARE ROOTS

P. 4
Examples: Finding square roots
1. √36 =
2. - √64
3. √4
4.
25
√50
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 AIDES
You 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
32
26
144
12
256
81
64
50
324
RIGHT TRIANGLES
P. 7

Describe a right triangle.

Define
Hypotenuse –
Leg –

Draw a right triangle and label the legs and the
hypotenuse.
RIGHT TRIANGLES – CONTINUED

P. 8
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
P. 9
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
TRIANGLE?
5
4
3
P. 11
Do these three
measurements verify that
this is a right triangle?
PYTHAGOREAN THEOREM – IS IT A RIGHT
TRIANGLE?
P. 12
Verify if the three measurements form a right
triangle.
A) 6, 8, and 10
B)
3, 4, and 8
MEASURING RIGHT TRIANGLES

Larger Triangle
P. 13
MEASURING RIGHT TRIANGLES

Smaller triangle
P. 14
FINDING THE LENGTH OF THE MISSING SIDE
P. 15
Find the missing length (side) of the right triangle.
5
c)
d)
c
6
b
12
8
PYTHAGOREAN THEOREM – WHAT IS THE LENGTH
OF THE MISSING SIDE?
E
5 in
G
F
11 in.
What is the length of EG?
P. 16
HOMEWORK
Text book
 P. 484 – 4, 6, 8

P. 485 – 12, 14, 18, 19
P. 17 - 18
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.
REAL LIFE USE OF PYTHAGOREAN THEOREM

P. 21
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. 22
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. 23
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. 24
An isosceles right triangle has a hypotenuse
length of 6 feet. Find the length of each leg.
HISTORY OF PYTHAGOREAN THEOREM

Back cover – answers to 10 questions
PYTHAGOREAN THE0REM ROLL-UP
1 – Clean hands
 2 – Get supplies
1 piece of construction paper
scissors
glue stick
white color pencil
ruler
notebook 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 rollup off and enjoy.
