Year 9 · Mathematics · Space

AC9M9SP01

recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

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Taught alongside it

The rest of Space in Year 9.

The same idea, year by year

Where AC9M9SP01 comes from and where it goes, for a student working below or above Year 9.

1. Year 8AC9M8SP01identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
2. Year 8AC9M8SP02establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
3. Year 8AC9M8SP03describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools
4. Year 8AC9M8SP04design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works
5. Year 10AC9M10SP01apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
6. Year 10AC9M10SP02interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
7. Year 10AC9M10SP03design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions