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- Has anyone made a scale model before?
- What did you make?
- How would you explain what a scale model is?

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

- Definition: The scale gives the relationship between the measurements on the drawing or model and the measurements of the real object
- Ex: 1in = 3ft
1:24

- The ratio of a length on a scale drawing to the corresponding length on the real object is called the scale factor
- If the scale is: 2in = 16 in
- Then the Scale factor is: 2/16 or 1/8

- Another way to think about it is:
- What did you multiply the original amount by to get to the model size?
- Ex: Scale 2:6
- What did you multiply by?
- Scale factor is 3.

- Since the relationship of scales is proportional, we can use a proportion to determine missing values
- Ex: A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plans is 1 in = 4 feet. What is the width of the actual flower bed?

- Use your scale factor as the first ratio
- Don’t forget to label!!!!
- Scale factor is 1 in/4 feet
- Your actual measurement is your second ratio
- Make sure to line up the units correctly
- Actual measurement is 6.5 in/ x feet

- 1in/4ft = 6.5in/xft
- Cross multiply and solve!
- X = 26 ft

The inside of the Lincoln Memorial contains three chambers. The central chamber, which features a marble statue of Abraham Lincoln, has a height of 60ft. Suppose a scale model of the chamber has a height of 4 in. What is the scale?

- Write the ratio of the height of the model to the height of the actual statue: 4in/60ft
- We want the scale in simplest form, so write your new ratio as 1/x
- Set up the proportion and solve
4in/60ft = 1in/x

4x = 60

x = 15 ft

- Antonio is designing a room that is 20ft long and 12 ft wide. Find the lengths of the walls of the scale drawing of the room. Use the scale of 0.25in = 4ft
- Your first ratio is going to be your scale .25in/4ft
- Your second ratio is what you are trying to find. You will need write a ratio for each length
- Xin/20ft
- Win/12ft

- Scale.25in = x in
Actual 4ft 20ft

4x = (.25)20

4x = 5

X = 5/4 in or 1.25in

- Scale.25in = w in
Actual 4ft 12ft

- 4w = (.25)12
- 4w = 3
- w = ¾ in or .75in