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Cones, pyramids and spheres
This module from the AMSI 'The Improving Mathematics Education in Schools (TIMES) project' is for teachers who wish to consolidate their content knowledge on the topic of finding the surface area and volume of cones, pyramids and spheres. There are sections that provide history and context for the topic, as well as exercises and examples of how to present and explain the concepts to students.
Additional details |
|
| Year level(s) | Year 10 |
|---|---|
| Audience | Teacher, School Leader |
| Purpose | Content knowledge |
| Format | Downloadable resources |
| Keywords | cone, sphere, pyramid, explicit teaching |
Curriculum alignment |
|
| Strand and focus | Measurement |
| Topics | Area, volume and surface area |
| AC: Mathematics (V9.0) content descriptions |
AC9M10M01
Solve problems involving the surface area and volume of composite objects using appropriate units |
| Numeracy progression |
Understanding geometric properties (P7)
|
Copyright details |
|
| Organisation | AMSI |
| Copyright | © The University of Melbourne. Creative Commons BY-NC-ND 3.0. |
Related resources
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Putting all the solids together
Use this task to assess a student’s understanding and skills when calculating the volumes of various solids.
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Gutter
Use this task for the purpose of assessment as students investigate the optimal cross-section for a gutter maximising the volume of water that can be drained.
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Surface area and volume
Students work through the problem to design an elephant enclosure. (Note: some of the measurements are given in imperial units and will need to be adjusted.)
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Pyramid and cone volume videos
These two videos help students discover the formulas for the volume of a pyramid and cone.
Resource details