This project contains 4 tasks which each have a range of components. You could spend quite a few lessons on this project, or just use parts of it. It is creative, fun, and highly engaging. Students will need a glue stick, ruler, scissors, a pencil and coloured paper.
The first task is to cut out a range of 2D shapes (mostly squares and rectangles) with given areas or perimeters. (E.g. Cut out a square with an area of 16 square centimetres, or Cut out a hexagon with a perimeter of 36 square centimetres). This task encourages higher order thinking as the children have to think backwards to determine what each side would measure.
The second task asks students to cut out a rectangle with a given area and perimeter, and to then cut this in half to make 2 triangles. Students are encouraged to consider the area of the 2 triangles and come up with a formula for the area of triangles. (constructivist learning!) I'd suggest meeting back after this task and using it to teach more about area of triangles.
The third task asks students to test their formula by cutting out another shape and halving it to make triangles.
The fourth task asks the students to make compound shapes (either by joining 2 shapes or by taking a chunk out of a shape) and working out the areas and perimeters of these shapes.