Area - squares and rectangles

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

What is the area of the shape enclosed by the line and arcs?

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Explore one of these five pictures.

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

A task which depends on members of the group noticing the needs of others and responding.

What happens to the area and volume of 2D and 3D shapes when you enlarge them?