AC9M9SP02 Year 9 Mathematics

This Content Descriptor from Year 9 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.

apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change

Elaborations

• 1 comparing the ratio of lengths of corresponding sides of similar triangles and angles
• 2 using the properties of similarity to solve problems involving enlargement
• 3 investigating and generalising patterns in length, angle, area and volume when side lengths of shapes and objects are enlarged or dilated by whole and rational numbers; for example, comparing an enlargement of a square and a cube of side length \(2\) units by a factor of \(3\) increases the area of the square, \(2^2\), to \((3\times2)^2 = 9\times 2^2=9\) times the original area and the volume of the cube, \(2^3\), to \((3\times2)^3=27\times 2^3=27\) times the volume

Related Achievement Standards