Level of Creativity

Description

Indicator

1 - Low

Based on employing an algorithm.

Students use formula to calculate areas of known geometrical figures (squares, rectangles, and trapezoids).

2 - Intermediate

Leaves the direct use of algorithms, and is based on an explanation from within a mathematical model. Developing a method from a given situation.

Students use a 1 by 1 square as an object for measuring area. Students relate to parallels and equivalents.

Students cut out shapes and move them around.

3 - High

Leaves the model, and draws conclusions from outside a known theory. Constructing a solution by exploring what is stated in the problem.

Relating to geometrical figures, such as polygons.

Proofs using specific geometrical figures like trapezoids and rectangles.

Calculating areas after proving a theorem.