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Page 1: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

Rotations

Page 2: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

1.

2.

B(5, -3) B'(3, 1)

P(-3, 4) P'(1, 5)

Warm - Up

𝑅𝑢𝑙𝑒: 𝑻−𝟐,𝟒 𝒐𝒓 (𝒙 − 𝟐, 𝒚 + 𝟒)

𝑅𝑢𝑙𝑒: 𝑻𝟒,𝟏 𝒐𝒓 (𝒙 + 𝟒, 𝒚 + 𝟏)

Page 4: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 5: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 6: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes in a counterclockwise direction. You will want to remember the layout of the unit circle when you are graphing figures and their rotations.

Page 7: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

III

IV IV

I

Page 8: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 9: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

-3 2

-2 -3

3 -2

-6 -1

1 -6

6 1

4 -7

7 4

-4 7

Page 10: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 11: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 12: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 13: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 14: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 15: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 16: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 17: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 18: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

Identifying a Rotation Write a rule to describe each transformation.

SWBAT: Graph and Identify Rotations.

Page 19: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

Identifying a Rotation Write a rule to describe each transformation.

SWBAT: Graph and Identify Rotations.

Page 20: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

x = 5 y = 3

Page 21: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

Page 22: Rotations - White Plains Middle School€¦ · SWBAT: Graph and Identify Rotations. The radius of a unit circle is one (one unit). Notice that degree movement on a unit circle goes

SWBAT: Graph and Identify Rotations.

𝑅𝑢𝑙𝑒: 𝑹𝟗𝟎 = (−𝒚, 𝒙)

𝟐, 𝟒 → (−𝟒, 𝟐)