How to use fractions to explain proportional relationships. How to calculate complicated proportional relationships, without a calculator, using fractions.

Understand inverse proportion as division into a constant or multiplication to a constant. Calculate using inversely proportional relationships.

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

Set up proportional relationships and find constants of proportionality

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

Set up and use algebraic directly proportional relationships

Set up and use algebraic inversely proportional relationships

Using Excel to solve iteration problems. Worked examples and questions included. Teachers version has full answers

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.

Understanding Proportion Lessons included: Direct Proportion Fractional Multipliers Inverse Proportion Ratio-Problem Solving Functions Compound Units

Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode

Differentiated Codebreaker Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode

Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode

Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode

Differentiated Codebreaker Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode