| Activity Outcome | Investigating the construction of rectangular prisms that have the same volume but different shape. (Volume) |
| MTS Set | MTS5
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| NATIONAL Curriculum | Shape |
| Topics | 3D Shape
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| Keywords | Volume and Capacity, 3D Shape |
| Grouping | Learning pairs. |
| Resources | 24 cubes per pair. |
| Lesson Notes | - Direct pairs to the Investigation and ask: What do you need to find out? Do you think there will be none, a few or many solutions? Why do you think that? How will each rectangular prism be the same? How will each rectangular prism be different? How will you draw rectangular prisms that you make? Can you think of one rectangular prism you will make with 24 cubes? How long is the prism? How wide? How high? How will you know you have made a rectangular prism? How will you record the length, width and height of the rectangular prism you make?
- Direct pairs to carry out the investigation.
- (Reflection) Move around the pairs and ask: Can you tell me about the shape and size of each rectangular prism you have made? How does this diagram show the shape and size of the rectangular prism you made? How is each rectangular prism the same? How is each rectangular prism different? Do you think you have made all the possible rectangular prisms with 24 cubes? Would you say all of the rectangular prisms you have made are the same size and different shapes or different size and different shapes? Why do you think that?
- Provide the opportunity for pairs to share responses.
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| Reflections | See Lesson Notes.
Ask: Did you find all, most, some, a little or none of the solutions to the problem?
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| Internet Links | |
| Answers | Answers will vary: Box 1. 1 x 24 x 1 cubes Box 2. 2 x 3 x 4 cubes Box 3. 3 x4 x 2 cubes Box 4. 4 x 6 x 1
cubes Box 5. 2 x 6 x 2 cubes Box 6. 2 x 12 x 1 cubes Box 7. 3 x 8 x 1 Box 8. 2 x 2 x 6 |
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