Write both direct and inversely proportional relationships as functions. Understand which type of proportion is being displayed.

Find formulae for proportional relationships and inversely proportional relationships from practical situations

Set up and use algebraic directly proportional relationships

Use iterative formulae as flowcharts with practical problems. Create flowcharts and solve questions from them.

Applying iterative formulae to generate Fibonacci-style sequences. Also includes examples and questions on Leonardo and Lucas numbers. Also looks at effects of different starting variables.

Applying loci to practical problems. Includes -locus to a point -locus to a line segment -locus to two points -locus to two lines. Examples of loci within shapes. Worked examples and questions. All answers included.

Exploring how to approach these problems by examining the information on the diagram (eliminating inapplicable theorems). Lots of worked through examples.

GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use fractional multipliers to find a unit rate and to solve problems without a calculator. Starter, worked examples, worksheet(different questions, same formats), all answers included

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