Access Point #: MAFS.5.MD.3.AP.5c (Archived Access Point)


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Connect the layers to the dimensions and multiply to find the volume of the rectangular prism.

Clarifications:

Essential Understandings

Concrete:

  • Use unit cubes to fill one layer (base) of the rectangular prism.
  • Use the unit cubes to find the area of the base layer.
  • Determine the number of layers needed to fill the rectangular prism.
  • Use the area of the base and the number of layers (height) to find the volume of the rectangular prism by multiplying or using repeated addition.
Representation:
  • Recognize the formula for finding volume: V= l × w × h.
  • Relate the concrete model to the formula V= B × h; where B = area of the base.

Number: MAFS.5.MD.3.AP.5c Category: Access Points
Cluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. (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.5.MD.3.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

  1. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
  2. Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
  3. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.



Related Courses

Name Description
5012070: Grade Five Mathematics
7712060: Access Mathematics Grade 5
5020120: STEM Lab Grade 5
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5