06 / Shape and spatial reasoning
What stays true when the view of a solid changes?
Rotate a solid, inspect its parts and compare fixed views.
Distinguish a solid’s properties from changes caused by the viewing angle.
Shape and spatial reasoning
Distinguish a solid’s properties from changes caused by the viewing angle.
The complete worked example below is available independently of the model.
Keep the relationship in view.
A cube has six square faces, twelve edges and eight vertices. Rotating the view changes which parts you see; it does not change those counts.
Prepare for the exploration.
Begin with the stated example. Connect the controls to the representation and explanation; ask what changed and what stayed the same.
Use the representation thoughtfully.
A viewing angle can hide a face or distort its appearance. Return to a fixed view before comparing properties.
Connected to practice.
The mathematical activity relates to the documented themes of early mathematics and teacher support. It is a new website explanation, not a previously published tool attributed to Dr Sako.
Explore the relevant professional work