Classification of three-dimensional shapes

New Zealand Curriculum: Level 3

Learning Progression Frameworks: Geometric Thinking, Signpost 4 to Signpost 5

Target students

These activities are intended for students who recognise and name two-dimensional (flat) shapes. Students should be able to use properties like the number of sides and angles, parallel and non-parallel sides, and symmetry to sort two-dimensional shapes into classes. They should have some experience with intersection and inclusion of classes or shapes. For example, the set of squares is included in the set of rectangles.

The following diagnostic questions indicate students’ degree of sophistication in classifying three-dimensional shapes by features then properties. A feature is a perceptual (visual) characteristic, such as straightness of sides or pointiness of corners. A property is pattern or consistency that connects features, such as the solid has six sides that are all squares.(show diagnostic questions)

Teaching activities