Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms

Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
Volume with Cubes in Boxes, Additive Volume, Decomposing Prisms
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Resource Type
Common Core Standards
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2 MB|19 pages of student work
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Product Description
An introduction to volume which follows from students’ understanding of area. We model area with squares; we model volume by building rectangles up, to make the third dimension – height.

Templates for making boxes of various sizes are included. There are 10 different boxes forming simple rectangular prisms, and 4 other boxes which form combinations of two prisms. Examples of both types are shown. All these templates are printed onto a single sheet of card stock and then cut out.

Students tape the templates, or nets, into boxes, label each dimension (length, width, height), and fill the boxes with one-inch cubes. They then record the dimensions and write the equations to find volume. .

New as of February, 2015: These activities now include:
- “additive volume” – boxes composed of two separate prisms,
- “decomposing rectangular prisms” – dividing a prism into 2 smaller prisms,
- finding the missing dimension of a three-dimensional object.

Followup activities include lists of common classroom objects which students measure and calculate volume for. Problems for additive volume include finding the volume of objects like a moving truck, refrigerator, etc.

One-inch cubes are available from publishers like Nasco and ETA/Cuisenaire, and can be borrowed from many primary grade teachers.


Common Core Standards:

5.MD.3.a, b: “…understand concepts of volume and relate volume to multiplication…”

5.MD.4: “Measure volume by counting unit cubes…”

5.MD.5.a, b: “Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume…”

5.MD.5.d: “Recognize volume as additive…”


Subjects: Math, Geometry, Volume, Measurement, Word Problems, Applied Math

Level: Grades 4-6

Duration: 19 pages of student work, 6 – 7 days

Type of Resource: Instructional unit with student activities for volume, equations, measurement

Answer Key: included

A Smart Notebook 10 file is also included.

Total Pages
19 pages of student work
Answer Key
Included
Teaching Duration
1 Week
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