Year 8 · Mathematics · Measurement

AC9M8M07

use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

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Taught alongside it

The rest of Measurement in Year 8.

The same idea, year by year

Where AC9M8M07 comes from and where it goes, for a student working below or above Year 8.

1. Year 7AC9M7M01solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
2. Year 7AC9M7M02solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
3. Year 7AC9M7M03describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter
4. Year 7AC9M7M04identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons
5. Year 7AC9M7M05demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles
6. Year 7AC9M7M06use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation
7. Year 9AC9M9M01solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
8. Year 9AC9M9M02solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation
9. Year 9AC9M9M03solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles
10. Year 9AC9M9M04calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates
11. Year 9AC9M9M05use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings