Lesson plan

1. Understand whether a shape has volume (C)

teaches Common Core State Standards CCSS.Math.Content.5.MD.C.3 http://corestandards.org/Math/Content/5/MD/C/3
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3

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Lesson objective: Distinguish between shapes with area as their attribute and shapes with volume as their attribute.

Students bring prior knowledge of area and shapes from 3.MD.5. This prior knowledge is extended to the understanding of volume as an attribute as students sort and label two-dimensional and three-dimensional shapes and figures. A conceptual challenge students may encounter is understanding that some objects have area and volume. 

The concept is developed through work with a rectangular prism, which provides a visual representation of how a figure can have both area and volume.

This work helps students deepen their understanding of equivalence because students will have a deeper understanding of figures in order to begin measuring volume.

Students engage in Mathematical Practice 3 (Construct viable arguments and critique the reasoning of others) as they develop arguements for or against the sorting of solid and flat shapes.

Key vocabulary:

  • flat
  • solid
  • three-dimensional
  • two-dimensional
  • volume

Special materials needed:

  • shape cut-outs and three-dimensional figures