Lesson 9

Sorting 3-D Shapes

Est. Class Sessions: 2–3

Developing the Lesson

Part 2. Writing Geometry Riddles

Have students read the Writing Geometry Riddles section in the Student Guide and use the display of the Shape Finder chart to review what they learned about 3-D shapes. Display the riddle you prepared and ask students to determine which 3-D shape fits the clues.

Select a three-dimensional shape from the set of Power Solids® and show it to the class. Sample Dialog 2 is an example of a class discussion about a cube.

Use this Sample Dialog to discuss writing a riddle for a cube.

Teacher: Think of clues I can use in a riddle about this cube.

Carla: It is blue. It has 12 edges.

Teacher: Let's look at the first clue: It is blue. Will that clue help you answer this riddle?

Mark: No, all cubes are not blue.

Teacher: Maybe we should take that out since it doesn't fit all cubes. What do you think of the second clue: It has 12 edges?

Darius: It's a good clue, but I need more clues because the answer could be a cube, a square prism, a rectangular prism, or a hexagonal pyramid.

Teacher: Good point. What other clues can you add to narrow down the answer?

Yolanda: It has 8 right angles.

Teacher: That's good. Now, what 3-D shape can we eliminate?

Yolanda: We can take out the hexagonal pyramid because it has 7 angles and they are not right angles.

Teacher: What clues can we add so that this riddle fits only one shape?

Luis: If we say it has only square faces, the answer can only be a cube because a square prism and a rectangular prism could have rectangular faces.

Teacher: Excellent answer. Now we can write, “What is it?” to complete the riddle.

Use Check-In: Question 2 in the Writing Geometry Riddles section in the Student Guide to guide students as they write their riddles on paper. Emphasize that the clues should pertain only to the geometric properties of the object and not to attributes such as color, size, or material. Have students write their riddles on scratch paper. Place the 2 sets of Power Solids® on a table for students who need to look at the three-dimensional objects rather than the two-dimensional pictures to confirm that their clues fit the riddles.

After they finish their first draft of the riddle, Check-In: Question 3, asks students to read their riddle to a partner. Partners will listen to the riddles to see if there are sufficient clues to guess the riddle. If students are having difficulty thinking of clues, remind them to refer to the questions in Question 2.

When students are satisfied that their riddles have sufficient clues, demonstrate to students how you displayed your sample geometry riddle. Give each student a folded sheet of paper and have them write the clues on the outside of the paper and glue a picture of the three-dimensional shape on the inside from the 3-D Shape Sort Cards page.

Use Check-In: Questions 2–3 on the Sorting 3-D Shapes pages in the Student Guide and the corresponding Feedback Box to assess students' abilities to describe and analyze 3-D shapes [E2]; classify 3-D shapes using their properties [E4]; and justify conclusions using geometric properties [E7]. In addition, assess students' abilities to know the problem [MPE1]; check for reasonableness [MPE3]; and to show work [MPE5].

For targeted practice, place completed student riddles in a center or make your own riddles so that students can continue to work on describing and analyzing the properties of three-dimensional shapes.

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