Lesson 9

Composing and Decomposing Shapes

Est. Class Sessions: 1

Developing the Lesson

Fill in Shapes. Each student will need a complete set of pattern blocks. Tell students to remove the Fill in the Shapes pages from the Student Activity Book and lay them flat. Instruct students to use the pattern blocks to fill in the outlines on the page. They can trace the pattern blocks to record the shapes needed to fill in each outline. See Figure 1. As students compose the shapes, they become familiar with the shape's attributes such as the number of sides, number of angles, lengths of sides, and types of angles.

  • How did you decide which block to put in this corner?
  • Would a square fit there? Why or why not?
  • Would a triangle fit there? Why or why not?
  • Which shapes won't fit into this corner?
  • Which shapes won't fit along this side?
  • Count the angles in Shape [Q, W, Y]. Circle each angle.
  • Does this shape have parallel sides?
  • How can you check if the sides are parallel?
  • How many sides does Shape [Q, W, Y] have?
  • Does Shape [T, W] have any right angles?
  • I see you used [triangles] to cover Shape [S]. Can you use other shapes to cover it?
  • I see you used 2 purple triangles and 1 red trapezoid to cover Shape I. Can you use 5 blocks to cover it?
  • I see you used 2 blue rhombuses to cover Shape P. Can you use 4 blocks of the same shape to cover it?

Analyze Shapes' Attributes. Upon completion, display the Fill in the Shape pages and talk about some of the shapes.

  • How many sides does Shape [Q, W, Y] have? (6; 6; 6)
  • Show us how to count the number of sides in this shape. Draw lines on the display as you count.
  • How many angles does Shape [Q, W, Y] have? (6; 6; 6)
  • Show us how to count the number of angles in Shape W. Circle each angle. (See Figure 2.)
  • Show how you filled in the outline of Shape BB. (See Figure 3.)
  • Who would like to show a different way to fill in Shape BB? (See Figure 4.)
  • How did you decide which pattern block would fit in this corner of Shape [O]?
  • Who would like to show us a shape that contains a right angle? (Possible response: Shape A)
  • How do you know that is a right angle? (Possible response: It looks like an L and I can perfectly fit the square pattern block into this corner.)
  • Do any shapes contain more than one right angle? (Possible response: Shape T contains 2 right angles.)
  • Does Shape [X] have any right angles?
  • Who would like to show us a shape that contains parallel sides? (Possible response: Shape E has 2 sets of parallel sides.)
  • How do you know that these are parallel sides? (Possible response: The lines that make the opposite sides of the larger shape always stay the same distance apart, like railroad tracks. The lines will never cross.)
  • Does Shape D have any parallel sides? Show us. (yes, one set)

Collect the Fill in the Shapes pages. Students will use these pages again in Lesson 10.

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Using pattern blocks to compose Shape I
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Counting the number of angles in Shape W
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One way to compose Shape BB
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Another way to compose Shape BB
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