1. NAME:__________________________
Learning Objective
NAME:__________________________
We will use Dilations1 to show Proportional Relationships on a Coordinate Plane.
Activate Prior Knowledge
What are we going to do?
What does dilation mean?
Dilation means:
_______________________
CFU # 1
When creating a Dilation, how does the scale factor’s size affect the size of the new figure?
to enlarge or reduce the size of an image or object.
If the scale factor is GREATER THAN 1, the new image or figure will be ___________ than the original.
If the scale factor is LESS THAN 1, the new image or figure will be ____________ than the original.
CFU # 2
larger
smaller
1 enlargements or reductions in size
Vocabulary

2. Look at the diagrams shown below:
Skill Development/Guided Practice (continued)
What does a dilation do to an image? A dilation __________ _______________________.
If my figure is enlarged, I am multiplying by a factor greater than ______, which increases the size of my original.
If my figure is a reduction, I am multiplying by a factor less than ______ (I could also divide), which decreases the size of my original.
CFU 2 1 3
Describe the scale factor used in the comparisons below.
Dilations show us enlargements or reductions.
enlarges
OR reduces the size of it
Look at the diagrams shown below: 1
(ORIGINAL) (NEW) 1
ORIGINAL NEW

3. P ( , ) R ( , ) F ( , ) H ( , ) P’ ( , ) R’ ( , ) F’ ( , ) H’ ( , )
Name: ____________________________
Guided Practice (CLASSWORK) Thursday,
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.
Dilations show us enlargements or reductions. Follow the directions given below:
EXAMPLE:
DILATION OF 2.5
Find the coordinates of the original figure.
Multiply by the factor of dilation by the original figure’s coordinates (in this case – multiply by 2.5).
Write your new ordered pairs (New Figure).
Plot the points and connect each point to create your new figure.
Original Figure New Figure
T ( , )
Q ( , )
N ( , )
P ( , ) x
T’ ( , )
Q’ ( , )
N’ ( , )
P’ ( , ) x
DILATION OF 4.5 x
Original Figure New Figure x
P ( , )
R ( , )
F ( , )
H ( , )
P’ ( , )
R’ ( , )
F’ ( , )
H’ ( , ) x
INTERPRETING YOUR GRAPH: Because the dilation is greater than ___ , your new image will be ______ than the original, in this case ________ the size of the original. x 1 x
larger
2.5 times x

4. H ( , ) K ( , ) W ( , ) T ( , ) 0 1 H’ ( , ) K’ ( , ) W’ ( , )
Guided Practice (Enlargement of a Figure)
Find your original coordinates for the pre-image (the original drawing).
Multiply the factor of dilation by the original coordinates, then plot the points.
Dilations show us enlargements or reductions. H’ W’ I’ N’ K’ U’ S’ T’
DILATION OF 4.5
DILATION OF 1.5
Original Figure New Figure
Original Figure New Figure
H ( , )
K ( , )
W ( , )
T ( , )
0 1
H’ ( , )
K’ ( , )
W’ ( , )
T’ ( , )
0 4.5
I ( , )
N ( , )
S ( , )
U ( , )
-2 3
I’ ( , )
N’ ( , )
S’ ( , )
U’ ( , )
0 0
0 0
3 3
1 1
2 -2
3 -3
1 -1
-3 -2

5. Guided Practice (Reduction of a Figure)
Find your original coordinates for the pre-image (the original drawing).
Multiply the factor of dilation by the original coordinates, then plot the points.
Dilations show us enlargements or reductions. W’ I’ S’ A’ L’ T’ B’ J’
DILATION OF 0.5
DILATION OF ½
Original Figure New Figure
Original Figure New Figure
W ( , )
I ( , )
B ( , )
L ( , )
0 3
W’ ( , )
I’ ( , )
B’ ( , )
L’ ( , )
0 1.5
S ( , )
A ( , )
J ( , )
T ( , )
4 2
S’ ( , )
A’ ( , )
J’ ( , )
T’ ( , )
2 1
-2 2
-1 1
3 -1
-2 -3
4 -3
3 -2
1.5 -1
5 -2
2.5 -1

6. M ( , ) D ( , ) A ( , ) W ( , ) -1 5 M’ ( , ) D’ ( , ) A’ ( , )
Ordered Pair
(2, 3)
x and y
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.
Word Bank
Skill Closure
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.
Identify the points given on a coordinate plane. 1 2 3
Which operations are used in dilations?
Addition
Subtraction
Multiplication
Division
CFU
DILATION OF 0.5
M ( , )
D ( , )
A ( , )
W ( , )
-1 5
M’ ( , )
D’ ( , )
A’ ( , )
W’ ( , )
Word Bank
coordinates
ordered pair
dilation
quadrant
point
plot
enlargement
reduction
factor
scale factor M’ D’
1 5 W’ A’
4 3
2 1.5
-1 4
Because the dilation is less than 1, our new image will be smaller than the original, in this case ½ (HALF) the size of the original image.
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.

7. NAME________________ PERIOD _____
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
NAME________________ PERIOD _____
Word Bank
Independent Practice
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.
Identify the points given on a coordinate plane. 1 2 3
DILATION OF 2.5 A’ W’
ORIGINAL FIGURE NEW FIGURE
A ( , )
W ( , )
H ( , )
L ( , )
0 2
A’ ( , )
W’ ( , )
H’ ( , )
L’ ( , )
0 5 L’
2 2
5 5
0 -1
-1 1 H’
Because the dilation is _______ than 1, our new image will be ________ than the original, in this case _______ the size of the original.
greater
larger
2.5 times

8. NAME________________ PERIOD _____
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
NAME________________ PERIOD _____
Word Bank
Independent Practice
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.
Identify the points given on a coordinate plane. 1 2 3
DILATION OF 1/4 D
ORIGINAL FIGURE NEW FIGURE
D ( , )
R ( , )
I ( , )
5 4
D’ ( , )
R ( , )
I’ ( , )
4 -4
1 -1 D’
-3 -1 I’ I R’
less
Because the dilation is ________ than 1, our new image will be ________ than the original, in this case _______ the size of the original.
smaller R
¼ of