Perimeter and Area

Pick's Theorem

Stage: 3 Challenge Level: Challenge Level:1

This problem allows students to consolidate their understanding of how to calculate the area of irregular shapes, while offering an opportunity to explore and discover an interesting result.

Fence It

Stage: 3 Challenge Level: Challenge Level:1

This problem challenges students to work systematically while applying their knowledge of areas of rectangles.

Warmsnug Double Glazing

Stage: 3 Challenge Level: Challenge Level:1

This problem offers students a chance to develop strategies for organising and understanding mixed up information within the context of calculating areas and perimeters of rectangles.

Can They Be Equal?

Stage: 3 Challenge Level: Challenge Level:1

Sometimes area and perimeter of rectangles are taught separately, and are often confused. In this problem students consider the relationship between them.

Changing Areas, Changing Perimeters

Stage: 3 Challenge Level: Challenge Level:1

Working on this problem will give students a deeper understanding of area and perimeter, and how they change as a shape is altered.

Perimeter Possibilities

Stage: 3 Challenge Level: Challenge Level:1

This problem combines both area and perimeter by inviting students to consider the different possibilities for the perimeter when the area of a rectangle is fixed.