Task 3: Mathematical investigation: Perimeter and area

A) Consider a rectangular quadrilateral shape.

• What actions can be performed on it without the perimeter changing?
• What actions can be performed on it without the area changing?
• What actions can be performed on it without the perimeter or area changing.
• Extend your investigation to polygons more generally (400 words approx.)

B) What activities can you suggest for students to learn about the relationship between area and perimeter for students at different levels of school? Include references to the curriculum and suitable research literature. (300 words approx.)

Include diagram and tables as appropriate

Note: you are investigating what mathematicalactions you can perform on a geometric shape, not what physical actions you can perform on a physical shape made out of cardboard or similar.