
Scale Factor Lesson
Presentation
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Medium
+1
Standards-aligned
Melissa Taylor
Used 168+ times
FREE Resource
6 Slides • 14 Questions
1
Let's learn about SCALE and SCALE FACTORS!
2
What is it?????
What is SCALE FACTOR?
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. It is most commonly written with a colon :
Scale factors are proportional. So you need to set up a proportion to solve!
Remember - proportions are just equivalent ratios.
3
TYPES OF SCALE DRAWINGS
If the scale drawing is LARGER than the original, then it is an enlargement. The scale factor is GREATER than 1.
If the scale drawing is SMALLER than the original, then it is a reduction. The scale factor is LESS than 1.
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Example:
Remember to cross multiply then divide to solve for x!
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Multiple Choice
A scale drawing has a scale of 1cm: 2ft. What is the actual width of a pool if it is 6cm on the drawing? Remember to set up the proportion - 1/2 = 6/x. Cross multiply then divide!
3ft
6ft
12ft
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How do we find the scale ratio?
write the ratio of the model to the actual size
simplify!
Example:
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Multiple Choice
A model ship is 30cm long and the actual ship is 150m long. What is the scale?
Set it up as a ratio in a fraction then simplify - 30/150.
1cm:5m
1cm:3m
1cm:50m
1cm:150m
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Multiple Choice
If the scale factor is less than one, the new figure will be...
an enlargement
bigger
a reduction
a scale factor
9
Multiple Choice
If the scale factor is greater than one, the new figure will be...
an enlargement
a reduction
a scale
not proportional
10
Multiple Choice
Scale factor of 1/4 is a ...
enlargement
reduction
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Multiple Choice
Scale factor of 4 is a ...
enlargement
reduction
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Multiple Choice
If you want to find the scale factor from one figure to another, which formula should you use?
old/ new
model / actual
actual / model
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Multiple Choice
What is the scale factor from the large triangle to the small triangle?
1/2
2/3
3/4
2
14
Multiple Choice
What is the value of the missing side length?
10
6
9
12
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How to solve?
Second number
divide by
first number
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Multiple Choice
An area rug is 9 feet wide. In a photograph, the image of the rug is 3 inches wide. What is the scale of the model? Remember to set up your proportion - 3/9 = 1/x
one inch = 3 feet
one inch = .33 feet
one inch = 36 inches
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Multiple Choice
A model airplane is built with a wing span of 23 inches. The actual wing span is 92 ft. What is the scale of the model?
one inch = 48 inches
one inch = .25 feet
one inch = 4 feet
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Multiple Choice
Edgar drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 34 meters wide in real life. How wide is the parking lot in the drawing? Set up a proportion to solve.
85 cm
68 cm
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Multiple Choice
21
1.25
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4
20
Multiple Choice
What is the scale factor from the small fry to the large fry?
1/3
48
4
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Let's learn about SCALE and SCALE FACTORS!
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