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Starter. Scales!. Has anyone made a scale model before? What did you make? How would you explain what a scale model is?. Scale Models/Drawings. 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. Scal e.

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scales
Scales!
  • Has anyone made a scale model before?
  • What did you make?
  • How would you explain what a scale model is?
scale models drawings
Scale Models/Drawings
  • 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
scal e
Scale
  • 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

scale factor
Scale Factor
  • 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
scale factor1
Scale Factor
  • 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.
the relationship is proportional
The relationship is proportional!
  • 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?
how to solve
How to solve
  • 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
set up the proportion
Set up the proportion
  • 1in/4ft = 6.5in/xft
  • Cross multiply and solve!
  • X = 26 ft
determine the scale
Determine the Scale

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?

how to solve1
How to solve
  • 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

using scales
Using scales
  • 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
slide14
Cont
  • Scale.25in = x in

Actual 4ft 20ft

4x = (.25)20

4x = 5

X = 5/4 in or 1.25in

slide15

Scale.25in = w in

Actual 4ft 12ft

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