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Scale Factor
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
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.

Designing Doorways for Rich and Riz - Suzanne Alejandre
teacher support active problem 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>>

How Wide Is My Garden? - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden. ... more>>

Lee's Lawn Chair - Lee & Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Using the measurements given in the problem, determine the scale factor used to create the larger chair. ... more>>

Photo Wall - Suzanne Alejandre
active problem Pre-Algebra, difficulty level 3. Find the dimensions of the large poster. ... more>>

Sizing Up Sequoias - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs. ... more>>

Tiling Triangles - Suzanne Alejandre
teacher support active problem 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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