Scale Drawings

by Felix Gabathuler

| 22 QuestionsToday you are going to learn how to manipulate a shape to make it bigger or smaller, while keeping the shape proportional to its original shape... Woaw, you just said shape a lot... Watch the following videos to get an idea of what a scale drawing is and how to find a scale factor.

Only watch the FIRST FIVE MINUTES of the first video. You will have to take notes on it as well!

1

1

What does scale factor mean?

2

1

Now try the following lessons. Get 3 outta 4 to move on. That's right, three out of four, or three fourths correct, or 75% or higher!

Explore scale copies

Movin' on

Not done

3

1

Now try the following lessons. Get 3 outta 4 to move on. That's right, three out of four, or three fourths correct, or 75% or higher!

Corresponding Points

Movin' on

Not done

4

1

Let's up the rigor! Get 3 outta 4 or more correct to move on!

Scale Factor in Scale Drawings

Donzo

Not done

5

1

It's getting hot in here!

Scale Drawings

Donzo

Not done

6

1

Last one of these lessons!

Constructing Scale Drawings

I constructed a 100%

My construction collapsed

7

1

A scale drawing of a soccer field is shown above. The actual soccer field is 300 feet long. What is the scale of the drawing?

1 in. = 10 ft.

1 in. = 50 ft.

10 in. = 1 ft.

10 in. = 500 ft.

8

1

How did you arrive at your answer in #7?

9

1

A scale model of the U.S. National Monument is 10 inches tall. The actual monument is 100 feet tall. Write a scale using the same units on both sides. Example: 1cm = 100cm. (Psss remember, there are 12 inches in 1 foot)

10

1

Actually this is the last one of the Khan Lessons! What if we get a little theoretical, a little hypothetical? Can you dig?

Relate Area to Scale Drawings

I dug it

I couldn't dig.

11

1

Mr. Imaginary wants to build an island in the middle of his kitchen (see sketch above). The kitchen is 12 feet by 16 feet. A counter, which is 2.5 feet wide, goes around three sides of the kitchen. To meet Bangkok city permit requirements, there has to be 3 feet of clearance on all sides of the island.

Mr. Imaginary wants the island to be as large as possible. What is the maximum length and width, based on the information above? (Write your answer below)

12

1

What would be total area of floor space after the island is built? (The floor space is the tiled pattern in the sketch).

13

1

Mr. Imaginary creates a scale drawing of the kitchen, where ¼ inch equals one foot. What are the dimensions of the island on the scale drawing?

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14

1

Write your answer without using units.

15

1

Write your answer without using units.

16

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16

1

Write your answer without using units squared

17

1

Write your answer without using units.

18

19

20

21

18

1

A

B

C

D

19

1

Write your answer without using units.

20

1

Write your answer without using units. Use a mixed number if needed.

21

1

Draw a model of the situation below. Then, write your answer without using units.

22

22

1

Answer both questions below.

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