AC9M9SP02

See also: Learning Areas / Mathematics / Mathematics / Space / Year 9

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

• AC9M9SP02_E1 - comparing the ratio of lengths of corresponding sides of similar triangles and angles
• AC9M9SP02_E2 - using the properties of similarity to solve problems involving enlargement
• AC9M9SP02_E3 - 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

Achievement Standard Components

• ASMAT912 - They use mathematical modelling to solve practical problems involving direct proportion, ratio and scale, evaluating the model and communicating their methods and findings.
• ASMAT914 - They apply the enlargement transformation to images of shapes and objects, and interpret results.