Tuesday, October 29th, 2013

Today’s Agenda:

1. Get out the Unit 3 pre-test to be collected.

2. Work on your warm-ups.

3. Get out a sheet of paper and at the top, label it Pythagorean Theorem

Pythagorean Theorem

Learning Target: Students will discover the meaning behind the Pythagorean Theorem through a PowerPoint as a whole group and then with a hands on activity in groups.

Pythagoras was born on the Aegean island of Samos. He is best known for the Pythagorean Theorem, which relates the side lengths of a right triangle.

a2 + b2 = c2

Pythagorean Theorem:

IN WORDS…

In any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Pythagorean Theorem:

ALGEBRA…

a

b

c

a

b

cHypotenuse-opposite the right angle -the longest side

Legs -adjacent to the right angle

Pythagorean Theorem:

NUMBERS…

6

8

10

a = 6

b = 8

c = 10

a2 + b2 = c2

62 + 82 = 102

36 + 64 = 100

100 = 100

TRUE STATEMENT

INVERSE OPERATIONSAddition Subtraction

Subtraction Addition

Multiplication Division

Division Multiplication

Square Square Root

Square Root Square

X2

**The radical cancels out the square

Open your WorkText to page 137 and look at problem number 2.

5c

12a2 + b2 = c2

____ + ____ = c2

____ + ____ = c2

____ = c2

c = ____

WT pg. 137 #2

8c

15a2 + b2 = c2

____ + ____ = c2

____ + ____ = c2

____ = c2

c = ____

WT pg. 137 #3

1220

b

WT pg. 138 #4

a2 + b2 = c2

___ + b2 = ___

___ + b2 = ___

- ___ - ___

b2 = ___

b = ___

a 26

24

WT pg. 138 #5

a2 + b2 = c2

a2 + ___ = ___

a2 + ___ = ___

- ___ - ___

a2 = ___

a = ___

5

12

c

What is the length of the missing side?

A "Pythagorean Triple" is a set of positive integers, a, b and c

that fits the rule:

a2 + b2 = c2

4

5

c

What is the length of the missing side?

5

7

c

What is the length of the missing side?

25

a

7

Solve for the unknown side in the right triangle to the nearest tenth.

12

4

b

Solve for the unknown side in the right triangle to the nearest tenth.

Have you got it?

1. Find the height h of the triangle.

2. Find the length of side c to the nearest meter.

8 m

12 m

h

c10 m

6 m 9 m

Use the figure for Problems 1 and 2.