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 ratio and proportion
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Scale Factor
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Shrinking and expanding figures to maintain the original proportions of the shape involves understanding how to scale a figure. Besides considering how a scale factor changes the
linear dimensions, these problems may also address how the perimeter or area are affected.
- Related Resources
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Interactive resources from our Math Tools project:
Math 7: Ratio and Proportion
The closest match in our Ask Dr. Math archives:
Middle School: Ratio and Proportion
NCTM Standards:
Number and Operations Standard for Grades 6-8
Access to these problems requires a Membership.
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Designing Doorways for Rich and Riz
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Find the height for a doorway for Riz that gives him a proportional
amount of room as Rich has in the pictured doorway.
... more>>
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How Wide Is My Garden?
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
... more>>
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Lee's Lawn Chair
- Lee & Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Using the measurements given in the problem, determine the scale
factor used to create the larger chair.
... more>>
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Photo Wall
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Find the dimensions of the large poster.
... more>>
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Sizing Up Sequoias
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs.
... more>>
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Tiling Triangles
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
... more>>
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