**Prior learning: ****Year 8 Autumn 1 **

Topic |
Foundation |
Higher |

Ratio and Proportion | Sharing in a ratio, and problems involving this
Simplifying a ratio Best buys Relate ratios to fractions Calculate percentages and percentage change Calculate reverse percentages Calculate compound interest |
Form and solve equations using ratios
Interpret graphs that illustrate direct and inverse proportion Compares lengths, areas and volumes of similar shapes Describe direct and inverse proportion using an equation Find the instantaneous and average rate of change from a graph |

__Foundation tier notes:__

- Any conversions between imperial units and metric units will be stated in the question.
- Conversions between capacity and volume will be given in the question.
- For a straight-line distance-time graph, know that the gradient represents speed.

__Higher tier notes:__

- Students should understand that, for example, the number of fish in a small pond cannot continue to grow in population indefinitely and that certain assumptions will be made or used when modelling, for example a 10% increase in population per year.