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Page 1: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

1

February 06, 2019

Page 2: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

2

February 06, 2019

Learning Goal: Today I will learn about dilations.

Success Criteria: I am able to graph a dilation, find a scale factor and center of dilation.

Page 3: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

3

February 06, 2019

9.5 Dilations

Page 4: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

4

February 06, 2019

What is a dilation?

A transformation whose pre­image and image are similar.  Every dilation has a scale factor and a center.

Page 5: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

5

February 06, 2019

*What is a dilation?

When an object changes in size but not in shape

ys

Page 6: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

6

February 06, 2019

Finding a scale factor (n)

Page 7: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

7

February 06, 2019

*Center of Dilation

The point from which a dilation emanates.

ys

Page 8: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

8

February 06, 2019

*Enlargement

A dilation with a scale factor greater than one.

ys

Page 9: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

9

February 06, 2019

*Reduction

A dilation with a scale factor less than one. 

ys

Page 10: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

10

February 06, 2019

Page 11: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

11

February 06, 2019

  The center of dilation is ____Scale Factor: _________

x3

Page 12: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

Center: _______   Scale Factor: _________(0, 0) Reduction 

Follow on worksheet

Find the ordered pairs for each one

J J'

K K'

M M'

L L'

Page 13: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

13

February 06, 2019

Center: _______   Scale Factor: _________(0, 0)

Find the ordered pairs for each one

Page 14: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

14

February 06, 2019

Graphing Dilations

Dilate the preimage with a scale factor of 3/2 and center (0, 0)

A

B

C

A (­2, 2)A'

Page 15: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

Graphing Dilations

Find the center of dilation for the image and pre­image.

J

K L

M

K' L'

J' M'

Page 16: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

­12 ­11 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0

­6­5­4­3­2­1

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y

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Page 17: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

­2 ­1 0 1 2 3 4 5 6 7 8 9 10

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2

3

4

5

6

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Page 18: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

Closure: Today I learned how to graph a dilation, find a scale factor and center of dilation.  

Use a ruler when finding the center of dilation!

Page 19: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019

Quiz and Worksheet

Page 20: 9.5 Dilations.notebook February 06, 2019 · 9.5 Dilations.notebook 2 February 06, 2019 Learning Goal: Today I will learn about dilations. Success Criteria: I am able to graph a dilation,

9.5 Dilations.notebook

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February 06, 2019