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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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Starter

Starter


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


Starter

Cont

  • Scale.25in = x in

    Actual 4ft 20ft

    4x = (.25)20

    4x = 5

    X = 5/4 in or 1.25in


Starter

  • Scale.25in = w in

    Actual 4ft 12ft

  • 4w = (.25)12

  • 4w = 3

  • w = ¾ in or .75in


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