Learning Objective

We will use Dilations 1 to show Proportional Relationships on a Coordinate Plane.

NAME:__________________________ Thursday, November 20, 2014 ‘A’ Week

Activate Prior Knowledge

When creating a Dilation, how does the scale factor’s size affect the size of the new figure?

CFU # 1 What are we going to do?

What does dilation mean?

Dilation means: CFU # 2 If the scale factor is GREATER THAN 1, the new image or figure will larger the original.

If the scale factor is LESS THAN 1, the new image or figure will be smaller original.

Vocabulary

1 enlargements or reductions in size

Skill Development/Guided Practice (continued) Dilations show us enlargements or reductions.

Describe the scale factor used in the comparisons below.

Look at the diagrams shown below:

(ORIGINAL) (NEW) CFU 1 What does a dilation do to an enlarges OR reduces the size of it 2 If my figure is enlarged, I am multiplying by a factor greater 1 the size of my original.

3 If my figure is a reduction, I am multiplying by a factor less 1 divide), which decreases the size of my original.

ORIGINAL NEW

Guided Practice (CLASSWORK) Thursday, 11.20.14

Name: ____________________________

Dilations show us enlargements or reductions. Follow the directions given below:

1.

2.

Find your original coordinates for the pre-image (the original figure).

Multiply the factor of dilation by the original coordinates, then plot the points AND graph the new figure.

EXAMPLE:

DILATION OF 2.5

1. Find the coordinates of the original figure.

2. Multiply by the factor of dilation by the original figure’s coordinates (in this case – multiply by 2.5).

3. Write your new ordered pairs (New Figure). 4. Plot the points and connect each point to create your new figure.

Original Figure New Figure T ( , )

x 2.5

Q ( , )

x 2.5

N ( , )

x 2.5

P ( , )

x 2.5

larger 2.5 times 1

DILATION OF 4.5

Original Figure New Figure

P ( , ) x 4.5

R ( , ) R’ ( , ) F ( , ) x 4.5

H ( , ) x 4.5

Guided Practice (Enlargement of a Figure) Dilations show us enlargements or reductions.

1.

2.

Find your original coordinates for the pre-image (the original drawing).

Multiply the factor of dilation by the original coordinates, then plot the points.

H’ W’ I’ N’ K’ U ’ S’ T’

DILATION OF 4.5

Original Figure New Figure DILATION OF 1.5

Original Figure New Figure

N ( , ) S ( , )

Guided Practice (Reduction of a Figure) Dilations show us enlargements or reductions.

1.

2.

Find your original coordinates for the pre-image (the original drawing).

Multiply the factor of dilation by the original coordinates, then plot the points.

I’ W’ B’ L’ S ’ A’ J’ T’

DILATION OF 0.5

Original Figure New Figure

0 3 -2 2 -2 -3 3 -2 0 1.5

-1 1 -1 -1.5

1.5 -1

DILATION OF ½ Original Figure New Figure

4 2 3 -1 4 -3 5 -2 2 1 1.5 -0.5

2 -1.5

2.5 -1

DILATIONS

enlarge or reduce the size of a figure. We can manipulate ordered pairs based on the dilation given.

DILATIONS

greater than 1 will make a figure larger, while dilations less than one will make a figure smaller.

Skill Closure Identify the points given on a coordinate plane.

1 2 3

Write ordered pairs for the each point shown.

Apply the factor of the dilation to the ordered pairs.

Identify and plot the new points, then sketch the figure.

DILATION OF 0.5

M’ W’ D’ A’ D ( , ) A ( , ) D’ ( , ) A’ ( , )

Summary Closure What did you learn today about dilations / plotting and locating points on a coordinate plane?

(Pair-Share) Use and define each of the words from the word bank.

Ordered Pair ( 2 , 3 )

x

and

y

CFU

Which operations are used in dilations?

A. Addition B. Subtraction C. Multiplication D. Division Word Bank

coordinates ordered pair dilation quadrant point plot enlargement reduction factor scale factor

DILATIONS

enlarge or reduce the size of a figure. We can manipulate ordered pairs based on the dilation given.

DILATIONS

greater than 1 will make a figure larger, while dilations less than one will make a figure smaller.

Closure Independent Practice Identify the points given on a coordinate plane.

1 2 3

Write ordered pairs for the each point shown.

Apply the factor of the dilation to the ordered pairs.

Identify and plot the new points, then sketch the figure.

L’ A’ W’

NAME________________ PERIOD _____ 11.20.14 HOMEWORK DILATION OF 2.5

ORIGINAL FIGURE NEW FIGURE

0 2 0 5 H’ H ( , ) L ( , ) H’ ( , ) L’ ( , ) greater larger 2.5 times

DILATIONS

enlarge or reduce the size of a figure. We can manipulate ordered pairs based on the dilation given.

DILATIONS

greater than 1 will make a figure larger, while dilations less than one will make a figure smaller.

Closure Independent Practice Identify the points given on a coordinate plane.

1 2 3

Write ordered pairs for the each point shown.

Apply the factor of the dilation to the ordered pairs.

Identify and plot the new points, then sketch the figure.

D’ D

NAME________________ PERIOD _____ 11.20.14 HOMEWORK DILATION OF 1/4 ORIGINAL FIGURE NEW FIGURE

5 4 4 -4 -3 -1

1.25 1 R ( , ) I’ ( , ) I’ I R’ less R smaller ¼ of