04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October...

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048 Pythagorean Theorem.notebook October 18, 2013 Bell Work

Transcript of 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October...

Page 1: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Bell Work

Page 2: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Homework #20(pp 24)

Page 3: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 4: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 5: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 6: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 7: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Learning ObjectiveStudents will learn to use the Pythagorean Theorem and its converse to solve problems and show understanding through class work.

Page 8: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 9: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 10: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 11: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Sec. 4­8 Pythagorean Theorem

Leg

Leg

Hypotenusec

a

b

a2+b2=c2

Page 12: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

4

3c

Find the value of c.

a2+b2=c2

Page 13: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

c5

5

Find the value of c.

a2+b2=c2A.  7.07

B.  50

C.  2500

D. Pythagorean Theorem will not work

Page 14: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

6c

5

Find the value of c.

a2+b2=c2A.  7.8

B.  61

C.  3721

D. Pythagorean Theorem will not work

Page 15: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

The right triangle suffered form acute angles. So the mathematical doctor gave it a dose of the Pythagorean serum.

Math Humor

Page 16: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

c

44.5

Find the length of the hypotenuse. a2+b2=c2

A.  4.5

B.  6.02

C.  36.25

D. Pythagorean Theorem will not work

Page 17: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Find the value of c.

a2+b2=c2

Page 18: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

25

15

b

Find the value of b.

a2+b2=c2

Page 19: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

118

b

Find the value of b.

a2+b2=c2A.  13.6

B.  7.5

C.  57

D. Pythagorean Theorem will not work

Page 20: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Learning ObjectiveStudents will learn to use the Pythagorean Theorem and its converse to solve problems and show understanding through class work.

Page 21: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

136

b

Find the length of the missing leg. a2+b2=c2

A.  14.3

B.  133

C.  11.5

D. Pythagorean Theorem will not work

Page 22: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

13

2b

Find the length of the missing leg. a2+b2=c2

A.  13.1

B.  12.8

C.  165

D. Pythagorean Theorem will not work

Page 23: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Class Work(pp 26)

Page 24: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 25: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

How high will the ladder reach?                 How far is it across the pond?

Page 26: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

A. 1075 miles

B.  805 miles

C.  648,125 miles

D. Pythagorean Theorem will not work

Page 27: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Two birds leave the same spot at thesame time. The first bird flies to hisnest 11 miles south, while the otherbird flies to his nest 7 milesHow

west.far apart are the two birds after

they reach their nests?

Page 28: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Learning ObjectiveStudents will learn to use the Pythagorean Theorem and its converse to solve problems and show understanding through class work.

Page 29: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

A.  8 m

B.  11.7 m

C.  4.4 m

D. Pythagorean Theorem will not work

Page 30: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

A.  10 m

B.  12 m

C.  17 m

D. Pythagorean Theorem will not work

Page 31: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

A.  24 ft 

B.  72 ft 

C.  51.2 ft 

D. Pythagorean Theorem will not work

Page 32: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 33: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 34: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Find the length of the line segment. a2+b2=c2

Page 35: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Find the length of the line segment. a2+b2=c2

A.   12.5 units 

B.  13 units 

C.  169 units 

D. Pythagorean Theorem will not work

Page 36: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Find the length of the line segment. a2+b2=c2

A.   9.4 units 

B.  12 units 

C.  89 units 

D. Pythagorean Theorem will not work

Page 37: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Learning ObjectiveStudents will learn to use the Pythagorean Theorem and its converse to solve problems and show understanding through class work.

Page 38: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

pg 198 #13­20

Homework #21

Page 39: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 40: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

16. Mr. and Mrs. Flores commute to work each       morning. Mr. Flores drives 8 miles east to his       office. Mrs. Flores drives 15 miles south to her       office.  How many miles away do Mr. and Mrs.       Flores work from each other? 17 mi

Page 41: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 42: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013

Page 43: 04-8 Pythagorean Theorem.notebook - Plain Local Schools · 048 Pythagorean Theorem.notebook October 18, 2013 c 5 5 Find the value of c. a2+b2=c2 A. 7.07 B. 50 C. 2500 D. Pythagorean

04­8 Pythagorean Theorem.notebook October 18, 2013