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Math Mania. stretching. and. shrinking. 7th grade. Stretching & Shrinking. Scale Factors. Similar Figures. SF and Area . Vocabulary Terms. Writing Rules. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500.

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Presentation Transcript
slide1

Math

Mania

stretching

and

shrinking

7th grade

slide2

Stretching & Shrinking

Scale Factors

Similar Figures

SF and Area

Vocabulary Terms

Writing Rules

100

100

100

100

100

200

200

200

200

200

300

300

300

300

300

400

400

400

400

400

500

500

500

500

500

slide3

Scale Factors for $100

If you apply a scale factor of 5 to a rectangle, the sides will be ____ times longer.

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your answer

slide4

Scale Factors for $100

The sides will be 5 times longer.

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slide5

Scale Factors for $200

If you apply a scale factor of 9 to a rectangle, the perimeter will increase ____ times.

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your answer

slide6

Scale Factors for $200

The perimeter increases 9 times.

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slide7

Scale Factors for $300

Two triangles are similar. One triangle has a side of 5 cm and the corresponding side on the other triangle is 10 cm. What is the scale factor from small to large?

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your answer

slide8

Scale Factors for $300

The scale factor is two.

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slide9

Scale Factors for $400

The perimeter of one square is 36 in. The perimeter of another square is 12 in. What is the scale factor from the large to the small?

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your answer

slide10

Scale Factors for $400

The scale factor is

or

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slide11

Scale Factors for $500

There are two squares. One has a sides of length 8 mm. The other has sides of length of 6 mm. What is the scale factor from small to large? (Give your answer as a fraction in lowest terms.)

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your answer

slide12

Scale Factors for $500

or

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slide13

Similar Figures for $100

Are the two rules similar?

(x,y) and (2x,y+2)

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your answer

slide14

Similar Figures for $100

The rules are NOT similar.

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slide15

Similar Figures for $200

Are the two rules similar?

(2x,2y+4) and (12x, 12y+12)

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your answer

slide16

Similar Figures for $200

The two rules ARE similar.

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slide17

Similar Figures for $300

Are the two triangles similar?

10.5

7

4

6

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your answer

slide18

Similar Figures for $300

The figures are similar and the SF is 1.5.

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slide19

Similar Figures for $400

Are the rectangles similar?

5.4

16.2

3.5

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your answer

10.5

slide20

Similar Figures for $400

The figures are similar and the SF is 3.

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slide21

Similar Figures for $500

Which are similar to a 4 by 6 rectangle?

A

C

6

2

10

B

3

9

8

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your answer

slide22

Similar Figures for $500

A, yes - SF is 0.5

B, yes - SF is 1.5

C, no

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slide23

SF and Area for $100

If the scale factor is 4, the area of the image will be ___ times larger.

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your answer

slide24

SF and Area for $100

The area of the image will be 16 times larger.

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slide25

SF and Area for $200

If the area of Triangle A is 5 in2 and the scale factor from A to B is 3, what is the area of Triangle B?

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your answer

slide26

SF and Area for $200

The area of triangle B is 45 in2.

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slide27

SF and Area for $300

If the area of Rectangle A is 8 cm2 and the scale factor from A to B is 2, what is the area of Rectangle B?

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your answer

slide28

SF and Area for $300

The area of Rectangle B is 32 cm2.

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slide29

SF and Area for $400

If the scale factor is 1.5, the area of the image will be ___ times larger.

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your answer

slide30

SF and Area for $400

The area will be 2.25 times larger.

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slide31

SF and Area for $500

If the area of Rectangle A is 16 m2 and the scale factor from B to A

is , what is the area of Rectangle B?

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your answer

slide32

SF and Area for $500

The area of Rectangle B is 4 m2.

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slide33

Vocabulary Terms for $100

Define perimeter.

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your answer

slide34

Vocabulary Terms for $100

The distance around a figure.

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slide35

Vocabulary Terms for $200

Define area.

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your answer

slide36

Vocabulary Terms for $200

The amount of space inside a figure.

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slide37

Vocabulary Terms for $300

Define scale factor.

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your answer

slide38

Vocabulary Terms for $300

The scale factor tells how many times larger or smaller the image is compared to the original figure.

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slide39

Vocabulary Terms for $400

Define corresponding.

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your answer

slide40

Vocabulary Terms for $400

Corresponding angles or sides are have the same position in similar figures.

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slide41

Vocabulary Terms for $500

What three things make two figures mathematically similar?

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your answer

slide42

Vocabulary Terms for $500

1. Same general shape.

2. Same corresponding angles.

3. Side lengths are increased by the same factor.

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slide43

Writing Rules for $100

Write a rule that will make the sides of a figure three times longer. Use (x,y) as the original rule.

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your answer

slide44

Writing Rules for $100

(3x, 3y)

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slide45

Writing Rules for $200

Write a rule that will make the figure twice as tall and six times as wide. Use (x,y) as the original rule.

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your answer

slide46

Writing Rules for $200

(6x, 2y)

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slide47

Writing Rules for $300

Write a rule that will move a figure to the right two units. Use (x,y) as the original rule.

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your answer

slide48

Writing Rules for $300

(x + 2, y)

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slide49

DAILY

DOUBLE

DAILY

DOUBLE

DAILY

DOUBLE

DAILY

DOUBLE

slide50

Writing Rules for $400

DAILY DOUBLE

Write a rule that will make the sides of a figure six times longer and moves the figure up 2 units. Use (x,y) as the original rule.

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your answer

slide51

Writing Rules for $400

(6x, 6y + 2)

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slide52

Writing Rules for $500

Write a rule that will increase the height two times, the width seven times, move to the left 4 units, and up 9 units. Use (x,y) as the original rule.

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your answer

slide53

Writing Rules for $500

(7x - 4, 2y + 9)

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