what are we going to do?

What are we going to do?

CFU

Learning Objective

Activate Prior Knowledge

Standard 7.G.1 Verify experimentally the properties of Transformations2. Our focus today will be ROTATIONS.

We will rotate1 geometric figures on a coordinate plane.

1 to turn figure in a different orientation (synonym) 2 making changes to original figure.

Vocabulary

What is a LINE of REFLECTION?

CFU 2

Monday, February 3, 2014 Name: __________________________

Reflections on the Coordinate Plane

**Reflects over the Y-AXIS

Determine where the line of reflection is. The line of reflection will be horizontal (if line is the x-axis) and it will be vertical (if line is the y-axis)

Plot your new points and label accordingly. Sketch your new figure.

Activate Prior Knowledge

Directions: REFLECT EACH FIGURE ACROSS THE Y-AXIS.

H’

K’

V’

M’

W’D’

J’

Determine where the line of reflection is. The line of reflection will be horizontal (if line is the x-axis) and it will be vertical (if line is the y-axis)

Plot your new points and label accordingly. Sketch your new figure.

Activate Prior Knowledge

Directions: REFLECT EACH FIGURE ACROSS THE X-AXIS.

H’

V’K’

D’

F’

V’

P’

In your own words, what does it mean to rotate a figure?

What does clockwise mean?

Counter-clockwise means?

CFU

Concept Development

Rotation:

We can rotate1 geometric figures in different directions.

They can turn clockwise2 or counter-clockwise3 in direction.

1 to turn figure in a different orientation (synonym)

2 turning right in a circular motion.

3 turning left in a circular motion.

Vocabulary

Which direction are the gears spinning?

GEAR A is ______________

GEAR B is ______________

GEAR C is ______________

GEAR D is ______________

CFU

Concept Development

We can rotate1 geometric figures in different directions.

They can turn clockwise2 or counter-clockwise3 in direction.

1 to turn figure in a different orientation (synonym)

2 turning right in a circular motion.

3 turning left in a circular motion.

Vocabulary

How is a rotation different than the previous transformations (i.e. translation, reflection, and dilation) we have looked at?

Which direction does clockwise turn?

Which direction does counter-clockwise turn?

CFU

Skill Development / Guided Practice

GIVEN: Describe each rotation shown below:

Skill Development / Guided Practice

Locate your original figure.Identify whether your rotation is clockwise or counter-clockwise.Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o .

Turn your paper specified number of turns in correct direction.Record where the new points are, then turn paper back to original position.Plot new points, graph and label.

ROTATING FIGURES:1234

How did I/you rewrite the expressions?How did I/you identify like terms?How did I/you combine like terms?

CFU

1

2

3

Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn.

5

6

(rotated figure)

Guided Practice

Locate your original figure.Identify whether your rotation is clockwise or counter-clockwise.Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o .

Turn your paper specified number of turns in correct direction.Record where the new points are, then turn paper back to original position.Plot new points, graph and label.

ROTATING FIGURES:1234

How did I/you rewrite the expressions?How did I/you identify like terms?How did I/you combine like terms?

CFU

1

2

3

Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn.

5

6

Guided Practice

Locate your original figure.Identify whether your rotation is clockwise or counter-clockwise.Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o .

Turn your paper specified number of turns in correct direction.Record where the new points are, then turn paper back to original position.Plot new points, graph and label.

ROTATING FIGURES:1234

How did I/you rewrite the expressions?How did I/you identify like terms?How did I/you combine like terms?

CFU

1

2

3

Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn.

5

6

Skill Closure

Locate your original figure.Identify whether your rotation is clockwise or counter-clockwise.Calculate the number of ¼ turns that will be made. Hint: each ¼ turn equals 90 o .

Turn your paper specified number of turns in correct direction.Record where the new points are, then turn paper back to original position.Plot new points, graph and label.

ROTATING FIGURES:1234

Which direction do you need to turn your graph?Does your new figure change in size?What are some key differences that you can identify between rotations and other transformations (reflections, translations or dilations)?

CFU

1

2

3

Rotation of figures focuses on a single point, usually the origin – (0,0). Rotation is calculated by a clockwise or counter-clockwise turn.

5

6