Access Point #: MAFS.8.G.1.AP.4c (Archived Access Point)


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Compare area and volume of similar figures.

Clarifications:

Essential Understandings

Concrete:

  • Recognize how the space inside a figure increases when the sides are lengthened.
  • Multiply whole numbers, fractions, and decimals in order to compare area, and volume.
  • Use graph paper to count the area inside of a figure and use the area to compare the sizes of the figures.
  • Use cubes to count the volume of a figure and use the volume to compare the sizes of the figures.
Representation:
  • Understand the following concepts and vocabulary: similar, area, length, width, volume, square, rectangle, prism.
  • Compare: greater than, less than, equal/same, figures in two and three dimensions.
  • Calculate the area and/or volume of two figures. Use the area/volume to compare their sizes.

Number: MAFS.8.G.1.AP.4c Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand congruence and similarity using physical models, transparencies, or geometry software. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.8.G.1.4: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.



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