Lesson 4

Partition Rectangles

Est. Class Sessions: 1–2

Summarizing the Lesson

Display the 2 × 6 Rectangles Master to discuss Questions 3–4 on the Partition Rectangles pages. Students can record their responses on the Master.

  • If this rectangle were partitioned into [3] equal shares, how many squares would each fair share have? (Each fair share would have 4 squares.)
  • How much of this rectangle is shaded? (one-third)
  • Does this way show [one-third]? How do you know?

Repeat the questioning as students demonstrate a variety of ways to shade one-fourth of the rectangle.

Use two colors of square-inch tiles on one of the rectangles to demonstrate other ways to show one-half, one-fourth, and one-third as shown in Figure 4.

  • How much of this rectangle is covered with tiles? (one-half; one-fourth; one-third)
  • Does this way show [one-half, one-fourth, one-third]? How do you know?
  • How many tiles are needed to cover [one-half, one-fourth, one-third] of the rectangle?
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SG_Mini
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Equal shares of the same whole do not have to be the same shape
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