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MARS: geometry: volume and surface area
This collection features resources on the topic of volume and surface area.
The resources feature:
- Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
- Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
- Tasks that provide mathematically rich problems that come with work for students to peer assess.
The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.
Resources
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Designing 3D products: candy cartons
This is a problem solving lesson, designed to help you assess how well students are able to:
- Select appropriate mathematical methods to use for an unstructured problem
- Interpret a problem situation, identifying constraints and variables and specify assumptions.
- Work with 2- and 3-...
Using space efficiently: packing a truck
This is a problem solving lesson, designed to help you assess how well students are able to:
- Reason precisely and defend their conclusions
- Use mathematics to model a scenario concerning volume
The problem is set in the context of packing a truck in the most efficient way possible...
Estimating volume: the Money Munchers
This is a problem solving lesson, designed to help you assess how well students are able to:
- Model a situation.
- Make sensible, realistic assumptions and estimates.
- Use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.
This...
Matchsticks
This task is designed to assess how well students understand:
- Using the formula for the volume of a cone
- Converting between measurements
For this task, a tree trunk is thought of as being approximated by a cone. Students are given the formula for a cone, and the dimensions of a...