MA19.GDA.19

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.19

Derive and apply the relationships between the lengths, perimeters, areas, and volumes of similar figures in relation to their scale factor.

Unpacked Content

Knowledge

Students know:
  • Scale factors of similar figures.
  • The ratio of lengths, perimeter, areas, and volumes of similar figures.
  • Similar figures.

Skills

Students are able to:
  • Find the scale factor of any given set of similar figures.
  • Find the ratios of perimeter, area, and volume

Understanding

Students understand that:
  • Just as their corresponding sides are in the same proportion, perimeters and areas of similar polygons have a special relationship. Perimeters: The ratio of the perimeters is the same as the scale factor. If the scale factor of the sides of two similar polygons is m/n, then the ratio of the areas is (m/n)2

Vocabulary

  • Derive
  • Apply
  • Scale Factor
  • Similar figures
  • Ratio of length
  • Ratio of perimeter
  • Ratio of area
  • Ratio of volume
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