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# 7th grade - PowerPoint PPT Presentation

Math Mania. stretching. and. shrinking. 7th grade. Stretching &amp; 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

Math

Mania

stretching

and

shrinking

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

Scale Factors for \$100

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

Scale Factors for \$100

The sides will be 5 times longer.

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Scale Factors for \$200

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

Scale Factors for \$200

The perimeter increases 9 times.

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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?

Scale Factors for \$300

The scale factor is two.

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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?

Scale Factors for \$400

The scale factor is

or

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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.)

Scale Factors for \$500

or

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Similar Figures for \$100

Are the two rules similar?

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

Similar Figures for \$100

The rules are NOT similar.

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Similar Figures for \$200

Are the two rules similar?

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

Similar Figures for \$200

The two rules ARE similar.

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Similar Figures for \$300

Are the two triangles similar?

10.5

7

4

6

Similar Figures for \$300

The figures are similar and the SF is 1.5.

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Similar Figures for \$400

Are the rectangles similar?

5.4

16.2

3.5

10.5

Similar Figures for \$400

The figures are similar and the SF is 3.

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Similar Figures for \$500

Which are similar to a 4 by 6 rectangle?

A

C

6

2

10

B

3

9

8

Similar Figures for \$500

A, yes - SF is 0.5

B, yes - SF is 1.5

C, no

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SF and Area for \$100

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

SF and Area for \$100

The area of the image will be 16 times larger.

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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?

SF and Area for \$200

The area of triangle B is 45 in2.

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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?

SF and Area for \$300

The area of Rectangle B is 32 cm2.

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SF and Area for \$400

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

SF and Area for \$400

The area will be 2.25 times larger.

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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?

SF and Area for \$500

The area of Rectangle B is 4 m2.

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Vocabulary Terms for \$100

Define perimeter.

Vocabulary Terms for \$100

The distance around a figure.

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Vocabulary Terms for \$200

Define area.

Vocabulary Terms for \$200

The amount of space inside a figure.

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Vocabulary Terms for \$300

Define scale factor.

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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Vocabulary Terms for \$400

Define corresponding.

Vocabulary Terms for \$400

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

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Vocabulary Terms for \$500

What three things make two figures mathematically similar?

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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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.

Writing Rules for \$100

(3x, 3y)

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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.

Writing Rules for \$200

(6x, 2y)

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Writing Rules for \$300

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

Writing Rules for \$300

(x + 2, y)

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DAILY

DOUBLE

DAILY

DOUBLE

DAILY

DOUBLE

DAILY

DOUBLE

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.

Writing Rules for \$400

(6x, 6y + 2)

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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.