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# Year Seven Fractions and Ratio Mini-pack

This unit from the National Strategies is a precursor to the Year Eight multiplicative relationships unit and the Year Nine sequel on proportional reasoning. Together they provide a sequence of core units across the key stage, addressing crucial concepts linking multiplication, division, fractions, ratio and proportion. Proportional thinking is required in number, algebra, shape, space and measures, and handling data.

The unit is split into two phases: Phase 1 (key lesson plus two lessons) In the starters, students review their knowledge of fractions, decimals, percentages, ratio and proportion from Key Stage Two. In the main activities, students use images for fractions and ratio to establish connections between operations, symbols and language to build on their existing knowledge and develop understanding of fractions as operators; link fractions and ratio and consider equivalent expressions.

Phase 2 (three lessons) In the starters, students practise skills of simplifying fractions and converting between fractions, decimals and percentages. In the main activities, students draw on precursor ideas in phase 1 to: * explore multiplicative relationships within a small set of simple fractionsand ratios; * use knowledge of these particular relationships to solve simple problems by informal methods. The two interactive programmes, Images of fractions and Ratio strips are incorporated into the lessons and come with extensive user guides.

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