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MARS: geometry: properties of 3D shapes
This collection features four resources on the topic of 3D shapes.
The resources feature:
- Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
- 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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Candle box
This task is designed to assess how well students understand using a description to draw the net of a shape.
A hexagonal prism is to be used as a box for a candle. A design featuring a candle is to be placed on each face of the box. The task is to use isometric paper to draw a net for the box.
This...
Smoothie box
This task is designed to assess how well students understand using a description to draw the net of a shape.
Top and side views are shown of a smoothie bottle. The task is to design a package that will hold twelve of the bottles. The bottles must be held so that they do not rattle about. All of the...
Sports bag
This task is designed to assess how well students understand using a description to draw the net of a shape.
The task is to draw the net of a sports bag with the following features:
- The length of the bag will be 60 cm.
- The bag will have circular ends of diameter 25 cm.
- The main...
Representing 3D objects in 2D
This lesson develops the concept of visualising two-dimensional cross-sections of representations of 3-dimensional objects.
The lesson begins by considering two cylindrical containers placed so that they make a right angle. Water flows from one cylinder to the other. Students consider the top view of the...