Topic 5 Year 8 Mathematics
| Mathematics | |||
| Topic | Ratio | ||
| No of lessons | 12 | ||
| When is it happening | Term 2 Year 8 | ||
| What will students learn |
Time is spent in this unit reinforcing the notion of a ratio as an expression of a constant multiplicative relationship which can be between two quantities in the same unit e.g. fractions or between two quantities in different units e.g. speed measured in miles per hour. A variety of contexts, both previously experienced (groups of objects, unit conversion, scaling recipes, cost) and new (speed and average speed, density) are used to explore and clarify concepts. Having established ratio as an expression of a relationship between two quantities, this is applied to ratio problems where students are required to divide an amount into a given ratio and find different quantities given a ratio. The models of ratio tables, double number lines, bar models and linear graphs are used to support development of flexible strategies and understanding of procedures. |
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| Key Knowledge that students should know at the end of 'Topic' | This is the knowledge that students will meet for the first time in this topic | Use ratio notation to describe a multiplicative relationship between two quantities (revise from year 7) • Solve problems involving ratios (revise from year 7) • Explore ratios in different contexts including speed and other rates of change • Contrast ratio relationships involving discrete and continuous measures • Use speed and other rates of change to draw and interpret graphical representations • Explore density and concentration as other contexts for proportional relationships | |
| This is knowledge that students may have met before but will need to deepen their understanding | Proportional reasoning, different ways of defining ratio and proportion. multiplication, division, fractions, decimals and percentages, as well as a unit introducing the formal notation for ratio. | ||
| Key Skills that students should be able to demonstrate at the end of 'Topic' | This is the skills that students will meet for the first time in this topic | Draw an Axis | |
| This is skills that students may have met before but will need to develop | Simplifying ratios using division | ||
| Key vocabulary that students should know and understand | Proportion, Relationship, share, total, label, scale, units | ||
| The Big Question | How are ratios and fractions related? | ||
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Key questions that students should be able to answer at the end of the 'Topic'
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What are equivalent ratios? | ||
| How can ratio find missing sides in shapes? | |||
| What is a constant of proportionality | |||
| How do you fill in a ratio table? | |||
| How can proportion apply to area? | |||
| How can I use proportion to solve time problems | |||
| How do you use a currency conversion graph? | |||
| What is density? | |||
| How can you work out distance travelled? | |||
| How do you work out average speed? | |||
| how do you use a speed distance time graph? | |||
| what is a time displacement graph? | |||