Lesson 10

Sorting Shapes

Est. Class Sessions: 2

Developing the Lesson

Part 2: Sorting Quadrilaterals

Find 4-Sided Shapes. Ask students to gather all of their shape cards together. First, instruct students to use Sorting Mat 1 on the Quadrilaterals Sort page in the Student Activity Book to sort all of the shapes into two categories: those that have 4 sides and those that do not.

Display the Quadrilateral Sort chart you prepared prior to the lesson. See Figure 4 in Materials Preparation. As other students work, ask a volunteer to attach the shape cards from one display set to the appropriate columns on the class chart. See Figure 15.

  • Compare your groups to those on the class Quadrilateral Sort chart. Did you sort the shapes the same way?
  • Do you agree with where the shapes are placed on the class Quadrilateral Sort chart? Did you place a shape in a different category? Explain.

Discuss any discrepancies in sorting.

  • What do we call all of these 4-sided shapes? (quadrilaterals)
  • How are the quadrilaterals alike and different? (Possible responses: They all have four straight sides and four corners. Some of them have right angles and some do not. Some have parallel sides and some do not. Some of them have sides all the same length and some have sides of different lengths.)

Find Parallel Sides in Quadrilaterals. Students should keep the quadrilateral cards on their desks and put the rest away. Direct students to Sorting Mat 2 on the Quadrilaterals Sort page. This time, students use the sorting mat to sort the quadrilaterals into three categories:

  • Quadrilaterals that have no parallel sides
  • Quadrilaterals that have only one set of parallel sides
  • Quadrilaterals that have 2 sets of parallel sides

Display the Quadrilateral Sort: Parallel Sides class chart you prepared prior to the lesson. See Figure 5 in Materials Preparation. As other students work, ask a volunteer to attach the shape cards from the last display set to the appropriate columns on the class chart. See Figure 16.

After all students have completed the sort, ask them to compare their findings to those displayed on the class chart. Again, discuss any discrepancies.

  • Who would like to show us why Shape [M] belongs in this category? (Shape M has one set of parallel sides.)
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Completed Quadrilateral Sort class chart
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Class chart for sorting quadrilaterals by number of parallel sides
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Some possible ways to show one-third of a 3 × 3 square
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Modeling three-fourths of a whole
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Showing four unequal parts that are not fair shares or fourths
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Different ways to partition a square (sandwich) into fourths
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Recognizing that the same fractional parts of different-size unit wholes are not equal
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