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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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Modelling making matchsticks
This is a problem solving lesson, designed to help you assess how well students are able to:
- Interpret a situation and represent the variables mathematically.
- Select appropriate mathematical methods.
- Interpret and evaluate the data generated.
The problem is set in the...
Sampling and estimating how many jellybeans
This is a problem solving lesson, designed to help you assess how well students are able to:
- Model a situation mathematically, justifying any assumptions made.
- Estimate unknown values/missing information when solving a problem.
- Calculate volumes of three-dimensional objects.
- ...
Calculating volumes of compound objects
This lesson develops the concept of calculating the volume of compound objects. In particular, students enhance their understanding of:
- Computing measurements using formulas.
- Decomposing compound shapes into simpler ones.
- Using right triangles and their properties to solve real-world...
Fun-size cans
This task is designed to assess how well students understand calculating the volume and surface area of a cylinder.
A drinks company is designing a can for a new drink that is to be sold in 200 ml cans. Students consider the effects of using different values for the radius of the can. They then go on to...