Page 190 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

• Is it possible to have right prisms with different dimensions and the same surface area? Explain why or why not.
• If a cylinder and a cone have the same base and height, how much taller must the cone be in order to have the same volume as the cylinder?
Sample Tasks
1. Provide students with questions that require them to understand which dimensions of a two- dimensional shape need to change in order to change its perimeter or its area. For example:
• Which triangle in the image below has the greatest perimeter? Justify your choice.
• Which triangle in the image below has the greatest area? Justify your choice.
• Two runners follow different paths along the streets in their neighbourhood. If they start and finish at the same spot, as shown in the image below, who will run farther? Justify your choice.
2. Have students predict whether the circumference or the area of a circle will change more if the diameter increases. Then have them use various measures for the circumference to verify or refute their prediction.
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