Lesson 7

Skeletons of 3-D Shapes

Est. Class Sessions: 2
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Mathematical Standards

3.G.A
Reason with shapes and their attributes. (3.G.A.1)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make sense of structure.

Students use plastic straws and chenille stems to construct skeletal models of three-dimensional shapes. They also identify the shapes' properties—the number of edges, vertices, and faces—of each shape they build. Then students manipulate their skeletal models to solve problems.

Content in this Lesson

  • Describing and analyzing three-dimensional shapes using their properties (e.g., number and shape of sides, number of edges, and number of corners) [E2].
  • Identifying and constructing skeletal models of three-dimensional shapes using their properties [E3].
  • Identifying congruent faces of shapes [E5].
  • Justifying conclusions using geometric properties [E7].
  • Using geometric concepts to solve problems.
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Guide
Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Student Groups of Four

90 plastic drinking straws
chenille stems
scissors

Materials for the Teacher

3-D Shape Sort Cards Master (Teacher Guide)
Unit 11 Assessment Record
chart paper
2 sets of Power Solids®
Collection of 3-D Shapes from Lesson 6
Display of Properties of 3-D Shapes chart from Lesson 6
Prepared Skeletal Models. See Materials Preparation.
Display of Edges, Vertices, and Faces Table. See Materials Preparation.

Materials Preparation

Prepare Straws and Chenille Stems. Cut the chenille stems into 2-inch lengths and some of the straws in half. For Part 1, students will use full-length straws. For Part 2, they will use full and half-length straws. To cut a straw in half, first fold the straw and then cut it.

Prepare Skeletal Models. Use the chenille stems and straws to create skeletal models of the following shapes: cube, rectangular pyramid, triangular pyramid, and triangular prism.

Display 3-D Shapes Collection. In Lesson 6, students collected everyday objects that were examples of threedimensional shapes. Display these along with a set of Power Solids® for all students to see.

Prepare Table for Display. Prepare a table similar to the Edges, Vertices, and Faces Table page in the Student Activity Book on chart paper. See Figure 1. The remaining columns will be added in Lesson 8. Copy the 3-D Shape Sort Cards Master then cut apart and attach each shape to the display.

Figure 1
Figure 1: Display of the first four columns of the Edges, Vertices, and Faces Table

Assessment in this Lesson

Assessment Expectation Assessed

Observe
Making Shapes
Teacher Guide - digital

E3.
Identify and construct two- and three-dimensional shapes using their properties.

Triangular Prism
Student Activity Book
Page 451

E2.
Describe and analyze three-dimensional shapes using their properties (e.g., number and shape of sides, number of edges, and number of corners).
E5.
Identify congruent shapes.