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Scale Drawings and Models

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Page 1: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Scale Drawings and Models

Page 2: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Warm-UpThe blueprint for a bedroom is given below.

1. How many units wide is the room?

2. The actual width of the room is 18 feet. Write a ratio comparing the drawing width to the actual width.

3. Simplify the ratio you found and compare it to the scale shown at the bottom of the drawing.

clo

se

t

width

= 2 feet

Page 3: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Scale Drawing

A scale drawing or a scale model is used to represent an object that is too large or too small to be drawn or built at actual size.

Record the definition in your math journal.

Page 4: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

ScaleThe scale is the ratio of a length on a drawing

or model to its actual length.

1 inch = 4 feet 1 inch represents an actual distance of 4 feet.

Page 5: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Example of Scale Size

Page 6: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Scale Model of a Map of Toronto

Scale

Page 7: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

“I am wanting to go from Pantages Theatre to the Four Seasons Hotel where I am staying. Can I walk or should I catch a cab?”

Page 8: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

We can estimate using the scale

About 2 1/2 miles

Page 9: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Scale Versus Scale FactorScale does not have

to have the same unit, so the units must be written

Scale Factor has the same units so they are not written

Page 10: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Find the ScaleA passenger car of a model train is 6 inches long. If the actual

car is 80 feet long, what is the scale of the model?Let x to represent the actual length of the train. Write and solve a

proportion to find the scale of the model.

Length of Train Scale

model 6 in. 1 in. model

actual 80 ft x ft actual

6 * x = 80 * 1

6x = 80

x = 13 1/3

So, the scale is 1 inch = 13 1/3 feet

=

Page 11: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Example ProblemThe model Ms. Wagliardo made of the building

she designed was 16 inches tall. If the actual building is to be 64 feet tall, what is the scale of her model?

Page 12: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Find the Scale Factor1 in = 13 1/3 feet

1 foot = 12 inches

13 1/3 feet = ____ inches

Scale Factor then is:

_______

160

1:160

Page 13: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Example ProblemKnowing that the scale of her model is 1 inch

equals 4 feet, what is the scale factor?

1 inch equals 4 feet

1 foot = 12 inches

4 feet = ________ inches

Scale Factor :

Page 14: Scale Drawings and Models. Warm-Up The blueprint for a bedroom is given below. 1.How many units wide is the room? 2.The actual width of the room is 18

Up Next…

Activity 1:

Applications of Scale Models and Similar

Figures


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