Access Point #: MAFS.3.MD.3.AP.7a (Archived Access Point)


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Use tiling and addition to determine area.

Clarifications:

Essential Understandings

Concrete:

  • Count up to 20 objects (students are expected to multiply within 20, refer to MAFS.3.OA.3.AP.7a).
  • Use square tiles to cover a rectangle.
  • Count the number of tiles in each row and use repeated addition to determine the area of the rectangle.
Representation:
  • Identify the number of unit squares used to find the area of a rectangular figure.
  • Use repeated addition to find the area of a rectangle when given a picture or array.
  • Understand the vocabulary and concepts of area, addition, repeated addition, +.

Number: MAFS.3.MD.3.AP.7a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Geometric measurement: understand concepts of area and relate area 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.3.MD.3.7: Relate area to the operations of multiplication and addition.
  1. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
  2. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
  3. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
  4. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.



Related Courses

Name Description
5012050: Grade Three Mathematics
7712040: Access Mathematics Grade 3
5012055: Grade 3 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5