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Proportions and Scale Drawings Proportions and Scale Drawings

Proportions and Scale Drawings - PowerPoint Presentation

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Proportions and Scale Drawings - PPT Presentation

Textbook Pages 430435 Objective I can solve scale drawing problems using proportions Vocabulary Scale Drawing is the same shape but not the same size A map is a scale drawing The units are very important ID: 712842

drawing scale length model scale drawing model length actual inches find object boat dimensions proportions feet long 5ft area

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Slide1

Proportions and Scale Drawings

Textbook Pages 430-435Slide2

Objective

I can solve scale drawing problems using proportions.Slide3

Vocabulary

Scale Drawing:

is the same shape but not the same size. A map is a scale drawing. The units are very important.

Scale:

tells us how the drawings dimensions and the actual dimensions are related. (Ratio)

The standard way to write the scale is scale model to actual object or

scale:actualSlide4

Interpreting Scale Drawing

3 inches

The scale is 1 in. : 5ft

Find the actual length of the canoe.

1in

3 in

.

5ft ?ftWhat did you do to 1 to get to 3. Multiplied by 3. So multiply 5 by 3 to get 15 ft.Slide5

Try some!

The scale of a drawing 2 in.: 6m

Length of the drawing = 8in.

Length of object = __________

Length of object = 36 m

Length of drawing = __________Slide6

Word Problems

You are building a model boat with a scale of 1 in.:2ft.

The actual boat is 18 feet long.

How long should you make your model?

9 inchesSlide7

Using it to find area and perimeter.

A scale drawing of this classroom is 2cm by 3 cm. The scale is

1cm:2m

. What is the area of the classroom?Slide8

Draw a diagram

Using the scale model 1in.:10ft, make a scale drawing of a 30ft by 40 foot dance floor.

You should have a 3in by 4 in drawing

Use your drawing to find the actual distance from opposite corners.

If you measured on your scale drawing you would find it to be 5 inches.

Using the scale it would convert to 50 ft.Slide9

Finding the scale!

A museum is creating a full sized T-Rex from a model. The model is 40 inches in length. The resulting dinosaur will be 40 feet tall in length. What is the models scale?

Write a ratio. Make sure both measures are in inches. Then simplify.

40in

=

40 in

40

ft 480 inThe model scale is 1:12Slide10

Try some:

Find the model scale:

5in

2ft

5/24

1ft

8yd

1/24Slide11

Practice

Workbook Pages

109-110

Even