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# Topic 16 Year 7 Mathematics

 Mathematics Topic Ratio No of lessons 8 When is it happening Term 3 Year 7 What will students learn This unit explores ratio notation, language, representations and contexts. The ratio notation of ð‘Ž: ð‘ is unpicked using bar models and this is used to show that in this notation it is possible to see fractional relationships. 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 Students solve numerical problems about multiple copies of identical groups. Students use ratio notation to describe the composition of each group. Students scale up from one group to ‘many’ groups, preserving the ratio of the components of each group. They use multiplicative relationships to calculate unknown values in the ‘many’  groups. Students represent ratios concretely or pictorially. They use these representations to justify the equivalence of ratios. Students identify multiplicative relationships between ‘times tables’. They use similar patterns to solve problems in direct proportionality contexts (but they don’t discuss this concept explicitly). This is knowledge that students may have met before but will need to deepen their understanding Using ratio language Ratio and fractions Introducing the ratio symbol Calculating ratio Using scale factors Calculating scale factors Ratio and proportion problems 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 Scaling a ratio Finding the constant of proportionality This is skills that students may have met before but will need to develop Simplifying ratios Key vocabulary that students should know and understand Ratio, fraction, proportion, equivalent The Big Question What is a Ratio? Key questions that students should be able to answer at the end of the 'Topic' Can I write a ratio using the correct notation? Can I use multiplication to work out same ratios? Can I calculate an equivalent ratio? Can I calculate problems in direct proportion? Can I find the missing sides of shapes using ratio? Can I work out ratios of a line segment? Can I share an amount in a given ratio? Can I share an amount in a three part ratio?