Reason with shapes and their attributes. (3.G.A.1)
Standards for Mathematical Practice
MP1.
Make sense of problems and persevere in solving them.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make sense of structure.
Students search for everyday objects that represent cubes, spheres, cones, prisms, and pyramids. Student pairs select one 3-D shape and identify properties of that shape. During a class discussion, students report what they discovered about their shape and add it to a class chart about 3-D shapes.
Content in this Lesson
Exploring and identifying three-dimensional shapes in the real world
Describing and analyzing three-dimensional shapes using their properties [E2]
Display of 3-D Shape Hunt (Student Activity Book) Page 445
Display of Large 3-D Shapes Masters (Teacher Guide). See Materials Preparation.
Power Solids®, 2 sets Unit 11 Assessment Record
chart paper
collection of 3-D shapes (everyday objects). See Materials Preparation.
Materials Preparation
Prepare for 3-D Shape Hunt. Prepare and gather examples of as many of the following three-dimensional shapes as you can find: cube, cylinder, sphere, cone, rectangular prism, square pyramid, triangular prism, and triangular pyramid. Some common examples of shapes are listed in Figure 1. The shapes are shown in Figure 2.
Prepare a Box of Mystery Shapes. Before Part 2 of the lesson, place a variety of each of the 3-D shapes into a box (at least one shape for each student pair). Use the 3-D shapes in the sets of Power SolidsĀ® and some of the everyday examples of 3-D shapes that you used in 3-D Shape Hunt. Save your collection of 3-D shapes to use in subsequent lessons.
Prepare Chart for Display. Prepare a display of the Properties of 3-D Shapes chart shown in Figure 2. Glue pictures of each of the 3-D shapes from the Large 3-D Shapes Master in the “3-D Shape” column.
Shapes with a base and all points on the base connect to a top vertex or apex. The base may be any shape. Using this definition, all pyramids are special cones. A circular cone has a base in the shape of a circle.
cubex
A three-dimensional shape with six congruent square faces.
curvedx
XXXXX
cylinderx
A three-dimensional shape with two congruent and parallel faces. Lines joining the corresponding points on the two bases are always parallel. All prisms are special kinds of cylinders. A circular cylinder has two congruent and parallel circles as bases.
edgex
A line segment where two faces of a three-dimensional figure meet.
facex
The polygons that make up the surface of a three-dimensional shape are called faces. For example, all the faces of a cube are squares.
flatx
One of the base-ten pieces that is often used to represent 100. The block is a 10 × 10 × 1 arrangement of bits. (See also base-ten pieces.)
geometric solidx
XXXXX
rectangular prismx
A prism whose bases are rectangles.
rectangular pyramidx
A pyramid whose base is a rectangle.
spherex
A three-dimensional object shaped like a ball. Every point on the shape is the same distance from the center. Because a sphere is not a polyhedron, it does not make sense to talk about its faces, vertices, and edges. An ordinary sphere does not have edges or vertices.
three-dimensional (3-D)x
An object that has length, width, and depth, like objects in the real world.
triangular prismx
A prism with triangular bases.
triangular pyramidx
A pyramid with a triangular base.
two-dimensional (2-D)x
A shape having length and width but no thickness.
vertex (vertices)x
A point where the sides of a polygon meet.
A point where the edges of a three-dimensional object meet.