GT Mathematics Curriculum

Grade 3: Unit 9

The following benchmarks are met in Unit 9 during December:

·  The student will identify, classify, describe, and compare attributes of 3-dimensional solids.

The following benchmarks are met in Unit 9 during April/May:

·  The student will determine the number of cubes (volume) that will fit in the box made by a given pattern.

·  The student will design patterns for boxes that will hold a given number of cubes.

Name: ______Date: ______

Unit 9 Pre-Assessment (December)

Using the straw kit, build the following polyhedron, name the shape, and list how many faces, vertices, and edges each shape has.

1.  A polyhedron that has exactly 6 square faces: ______

Faces: ______Vertices: ______Edges: ______

2.  A polyhedron that has exactly 1 square face and 4 triangular faces:

______

Faces: ______Vertices: ______Edges: ______

3.  A polyhedron that has exactly 3 rectangular faces and 2 triangle faces:

______

Faces: ______Vertices: ______Edges: ______

4.  A polyhedron that has exactly 8 corners and 6 faces: ______

Faces: ______Vertices: ______Edges: ______

5.  A polyhedron that has exactly 5 corners and 5 faces: ______

Faces: ______Vertices: ______Edges: ______

6.  How many differently shaped polyhedral can you make that have exactly 12 edges? ______Name the shapes you made.

Describe each shape below. Be sure to list the number of faces, vertices, and edges in your descriptions.

7. 

8. 

10.  List at least two ways shapes 8 and 9 are alike.

11.  List at least two ways shapes 8 and 9 are different.

Name: ______Date: ______

Unit 9 Pre-Assessment (April/May)

1.  The grid paper below shows the patterns for 5 boxes to hold cubes. How many cubes will each box hold?

Box A ______Box B ______Box C ______

Box D ______Box E ______

/ A / / B
/ / / C / /
/ D / / / E / /

2.  In the space below, explain how you figured out the number of cubes that will fit in Box C.

3.  The dark squares in the pattern below make the bottom of a rectangular box. Draw sides on the pattern to make a box (without a top) that will hold 24 cubes.

GT Mathematics Curriculum

Grade 3: Unit 9

Find 10 - 20 three dimensional objects around the school. Sort them into polyhedra and nonpolyhedra. / Design a bulletin board for your classroom that describes the similarities and differences between two dimensional and three dimensional shapes. Be sure to use models and representations of the shapes. / Pick a 3D shape. Add the number of faces and vertices of the shape. How does it compare to the number of vertices of the same shape? Try it with other 3D shapes and see if you can develop a generalization about the sum of the number of vertices and faces of 3D shapes.
Construct polyhedra using a straw kit. Then, make a chart to show the shape of the faces of each polyhedron. / Design a shape city. Create three dimensional buildings for your city. When your city is finished, create a key to match that communicated what each building is by naming the shape. Example: Post Office = rectangular pyramid. / Create a geometry dictionary. Write definitions for both 2D and 3D shapes to put in your dictionary. Then, draw a picture or cut out a real life example of each shape to match your descriptions.

Extensions for December

Create 10 patterns for boxes that could be included in a center for working on volume. Label the patterns so that you can include an answer key. / Design three Quick Images: 3D that could be used as one of the Ten Minute Math warm-ups. Create a solid figure for each of your images the teacher can use to show your solid. / Read the Riddles About Boxes on Student Activity Book page 29 in Unit 9. Create 10 riddles of your own for students to solve. Include an answer key with your riddles.
Create a song that explains what “volume” is in mathematics. Be sure your song gives examples to help explain the concept. / Trace all the patterns for boxes without tops that would hold 24 cubes inside. How do you know you have all the patterns? / Find 5 boxes in your classrooms. Using linking cubes, estimate how many cubes will fit in each box. Then, determine the exact number of cubes that fit in the boxes. Create an open box pattern for each of the boxes.

Extensions for April/May

Teacher may also include extensions for December.