Click me!

Whales We will be graphing pictures of whales. You will then find the area and perimeter of each whale graphed.

Graph Missy the Whale on your coordinate grid.

  MissyPoint (X, Y)A (1,2)B (1, 4)C (2, 5 )D (1, 6)E (1, 8)F (3,6)G (4,6)H (6,11)I (11,11)J (13, 8)K (13,4)L (3,4)M (1,2)NEW LINEN (11,6)O (12, 5)P (13,5)NEW LINEQ (10,8)

Determine the area and perimeter of Missy the whale.

Make sure to connect each point with the last point graphed unless you are told to start a new line.

X

Y

5

5

15

15

10

10 20

20

25

Area of Missy:_____________

Perimeter of Missy:_________

First comes love, then comes marriage Missy married Mikey

Mikey is bigger than Missy. Each of Mikey’s x-coordinates and y-coordinates are twice that of Missy’s coordinates. You will multiply each of Missy’s coordinates by 2.

Predict how the area of Mikey will compare to the area of Missy?

Predict how the perimeter of Mikey will compare to the perimeter Missy?

Graph Mikey the Whale on your coordinate grid.

Make sure to connect each point with the last point graphed unless you are told to start a new line.

Determine the area and perimeter of Mikey the whale.

  Missy Mikey

Point (X, Y) (2X , 2y)A (1,2) (2, 4)B (1, 4) (2, 8)C (2, 5 ) (4, 10)D (1, 6) (2, 12)E (1, 8) (2,16)F (3,6) (6,12)G (4,6) (8,12)H (6,11) (12,22)I (11,11) (22,22)J (13, 8) (26,16)K (13,4) (26,8)L (3,4) (6,8)M (1,2) (2,4)NEW LINEN (11,6) (22,12)O (12, 5) (24,10)P (13,5) (26,10)NEW LINE  Q (10,8) (20,16)

Missy Mikey

(X, Y) (2X , 2y)(1,2)  (1, 4)  (2, 5 )  (1, 6)  (1, 8)  (3,6)  (4,6)  (6,11)  (11,11)  (13, 8)  (13,4)  (3,4)  (1,2)  LINE  (11,6)  (12, 5)  (13,5)  LINE  (10,8)  

Y

5

15

10

20

5 1510 20 25

Area of Mikey:_____________

Perimeter of Mikey:_________

25

Now comes baby in the baby carriage. Missy and Mikey had a baby Manny

Manny is smaller than his mom Missy. Each of Manny’s x-coordinates and y-coordinates are half that of his mom Missy’s coordinates. You will multiply each of Missy’s coordinates by 1/2.

Predict how the area of Manny will compare to the area of Missy?

Predict how the perimeter of Manny will compare to the perimeter Missy?

Graph Manny the Whale on your coordinate grid.

Make sure to connect each point with the last point graphed unless you are told to start a new line.

Determine the Area and perimeter of Manny the whale.

  Missy Manny

Point (X, Y)(1/2X, 1/2 y)

A (1,2)  B (1, 4)  C (2, 5 )  D (1, 6)  E (1, 8)  F (3,6)  G (4,6)  H (6,11)  I (11,11)  J (13, 8)  K (13,4)  L (3,4)  M (1,2)  NEW LINE  N (11,6)  O (12, 5)  P (13,5)  NEW LINE  Q (10,8)  

  Missy Manny

Point (X, Y) (1/2X, 1/2y)A (1,2) (.5, 1)B (1, 4) (.5, 2)C (2, 5 ) (1, 2.5)D (1, 6) (.5, 3)E (1, 8) (.5, 4)F (3,6) (1.5, 3)G (4,6) (2, 3)H (6,11) (3, 5.5)I (11,11) (5.5, 5.5)J (13, 8) (6.5, 4)K (13,4) (6.5, 2)L (3,4) (1.5, 2)M (1,2) (.5,1)NEW LINEN (11,6) (5.5, 3)O (12, 5) (6, 2.5)P (13,5) (6.5, 2.5)NEW LINE  Q (10,8) (5, 4)

X

Y

5

15

10

20

5 1510 20 25

Area of Manny:_____________

Perimeter of Manny:_________

Missy’s niece Miley comes to visit.Miley is a little different. Each of Lillie’s x-coordinates half that of Missy’s x-coordinate. Miley’s y-coordinate is the same as Missy’s y-coordinates. You will multiply only each of Millie’s x-coordinates by 1/2.

Predict how the area of Miley will compare to the area of Missy?

Predict how the perimeter of Miley will compare to the perimeter Missy?

How will only changing the x-coordinate and not the Y-coordinate effect Miley’s shape.

Graph Miley the Whale on your coordinate grid.

Make sure to connect each point with the last point graphed unless you are told to start a new line.

Determine the Area and perimeter of Manny the whale.

  Missy Manny

Point (X, Y)(1/2X, 1/2 y)

A (1,2)  B (1, 4)  C (2, 5 )  D (1, 6)  E (1, 8)  F (3,6)  G (4,6)  H (6,11)  I (11,11)  J (13, 8)  K (13,4)  L (3,4)  M (1,2)  NEW LINE  N (11,6)  O (12, 5)  P (13,5)  NEW LINE  Q (10,8)  

  Missy Manny

Point (X, Y) (1/2X, y)A (1,2) (.5, 1)B (1, 4) (.5, 2)C (2, 5 ) (1, 2.5)D (1, 6) (.5, 3)E (1, 8) (.5, 4)F (3,6) (1.5, 3)G (4,6) (2, 3)H (6,11) (3, 5.5)I (11,11) (5.5, 5.5)J (13, 8) (6.5, 4)K (13,4) (6.5, 2)L (3,4) (1.5, 2)M (1,2) (.5,1)NEW LINEN (11,6) (5.5, 3)O (12, 5) (6, 2.5)P (13,5) (6.5, 2.5)NEW LINE  Q (10,8) (5, 4)

X

Y

5

15

10

20

5 1510 20 25

Area of Miley:_____________

Perimeter of Miley:_________

Vocabulary

• Dilation: A dilation is an enlargement or reduction of a figure.

• Scale factor: A scale factor is a number which scales, or multiplies, some quantity.

Notes

Key points to remember • To enlarge a figure, the scale factor

must be greater than one.• example: to make this rectangle

larger, multiply the coordinates by the scale factor.

• possible scale factors 3/2 =1.5, 5/4= 1.25, 6/3=2

Enlargement

Reduction • To reduce the size of a figure, the

scale factor must be smaller than one.

• example: to make this rectangle smaller multiply the coordinates by the scale factor.

• possible scale factors: • 1/3= .33 3/5= .6 ¾= .75

2007 8th grade TAKS Study Guide

Example

2007 8th grade TAKS Study Guide

Figure Coordinates ( x, y)

Scale Factor Rule Perimeter Area

PolygonABCD

A (2,4)B (4,4)C (5,2)D (2,1)

1 (x,y)

PolygonA’B’C’D’

A’ ( , )B’ ( , )C’ ( , )D’ ( , )

2.5

Practice

Figure Coordinates ( x, y)

Scale Factor Rule Perimeter Area

PolygonABCD

A (2,4)B (4,4)C (5,2)D (2,1)

1 (x,y)

PolygonA”B”C”D”

A” ( , )B” ( , )C” ( , )D” ( , )

1/4

Figure Coordinates ( x, y)

Scale Factor Rule Perimeter Area

PolygonABCD

A (2,4)B (4,4)C (5,2)D (2,1)

1 (x,y)

PolygonA’B’C’D’

Figure Coordinates ( x, y)

Scale Factor Rule Perimeter Area

2009 8th grade TAKS released

TAKS questions

TAKS Questions

2007 8th grade TAKS Studyguide

2007 8th grade TAKS Studyguide

2007 8th grade TAKS Studyguide

2007 8th grade TAKS Studyguide

2007 8th grade TAKS Studyguide

2009 8th grade TAKS released

Bibliography

Film and Video:Discovery Education, . "Humpback Whale and Calf". . Copyright: 2009 . <http://player.discoveryeducation.com/index.cfm?guidAssetId=4735b8aclip7-9e5f-4a17-8071-261991741a83>. 21 February, 2011.

Pictures:All pictures are from Microsoft Power Point clipart.T

Test Questions:Test questions are from 2009 8th grade TAKS released test and 2007 8th grade TAKS studyguide.

Created by Nona Mills

• This lesson was created by Nona Mills.• This lesson is property of Nona Mills and such

may not be replicated or changed without permission.