AC9M7M01 Year 7 Mathematics

This Content Descriptor from Year 7 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

Elaborations

• 1 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
• 2 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
• 3 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

Related Achievement Standards