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Related topic
Mathematics / Year 7 / Measurement
Curriculum content descriptions
solve problems involving the area of triangles and parallelograms using established formulas and appropriate units (AC9M7M01)
Elaborations
- using the formula for the area of a rectangle and the array structure to derive the formula for the area of a triangle and the area of a parallelogram , given their perpendicular heights; for example, establish that the area of a triangle is half the area of an appropriate rectangle by using the spatial relationship between rectangles and different types of triangles
- using dynamic geometry software to demonstrate how the sliding of the vertex of a triangle at a fixed altitude opposite a side leaves the area of the triangle unchanged
- using established formulas to solve practical problems involving the area of triangles, parallelograms and rectangles; for example, estimating the cost of materials needed to make shade sails based on a price per metre or determining different combinations of dimensions that lead to a given area
General capabilities
ScOT terms
Area, Triangles (Shapes), Square metres, Parallelograms