1. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
DO NOW
HW:
• Hw Sheet #'s 1-4, 6, 7, on a seperate
sheet of paper!
• Exam 8 Tuesday 6/9
AIM: PYTHAGOREAN THEOREM June 4th
Square Roots

2. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Square Root of a Number:
Is one of the two equal factors of a squared
number.
a.) Find the square root of 16 based on the
definition.
Square Root Symbol: √

3. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
12
= 1
22
= 4
32
= 9
42
= 16
52
= 25
62
= 36
72
= 49
82
= 64
92
= 81
102
= 100
112
= 121
122
= 144
132
= 169
142
= 196
152
= 225
Perfect Squares

4. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Evaluate the following.
36 121
196
25
225
64
9
81

5. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Estimate each square root to the nearest whole number.
40
40
40
40
A.) What is the next perfect square that is greater than 40?
B.) What is the next perfect square that is less than 40?
C.) What are the square roots of the perfect squares?
D.) Which perfect square is closer to 40?
E.) Use a calculator to check your answer.

6. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
The square of the length of the
hypotenuse is equal to the sum of the
squares of the lengths of the legs.
Pythagorean Theorem
Brainpop Video.

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June 04, 2015
The Pythagorean Theorem

8. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Formula
Diagram
Pythagorean Theorem Graphic Organizer
a2
+ b2
= c2
The longest side of the
right triangle. The side
opposite the right angle.
( c in the formula)
The two sides that form
the right angle. ( a and b in
the formula)
a
b
cThe square of the
hypotenuse is equal to the
sum of the squares of the
lengths of the legs.
Pythagorean
Theorem
Hypotenuse:
Leg:

9. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Hypotenuse: The longest side of the right
triangle,opposite the right angle,letter "c" in the
formula.
Legs: Two sides that form the right angle, letters
"a" and "b" in the formula.

10. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Below is a rectangle that is 24 centimeters long and 10 centimeters
wide. How can we find the length of the diagonal?
10cm
24cm
(not drawn to scale)
a2
+ b2
= c2

11. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Think-Pair-Share Activity:
a2
+ b2
= c2
a2
+ b2
= c2

12. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
a2
+ b2
= c2
a2
+ b2
= c2

13. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
E.) A checkerboard is 10 inches long on each side. What is the
length of the diagonal from one corner to another?
(Draw a diagram to help solve the problem)
10in
10in

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June 04, 2015
Finding the diagonal of the SMARTboard

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June 04, 2015
BEFORE YOU LEAVE
Can the hypotenuse of a right triangle be shorter than
one the legs of that right triangle? Explain your answer.

16. Day 1 Pythagorean Theorem.notebook
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June 04, 2015
Pythagorean
Theorem
Hypotenuse:
Leg:
Formula
Diagram
Pythagorean Theorem Graphic Organizer
a2
+ b2
= c2
The sum of the squares of
the legnth of the legs is
equal to the square of the
legnth of the hypotenuse!
Longest Side
Side opposites the right angle
Sides that form the right
angle ( Two Shorter sides)
a
b
c

17. Day 1 Pythagorean Theorem.notebook
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June 04, 2015

18. Attachments
Calculator Demonstration.notebook