Understand bracketing (trial and improvement) as an iterative process. Use trial and Improvement to find approximate solutions to equations.

Understand how an iterative formula works. Recognise convergent and divergent outcomes.

Understand how a flow chart can be used the process of iteration. Solve problems presented as flow charts.

6 different codebreaker puzzles all answers on the same key code slide. 1. Percentages 2. Fractions of 3. BIDMAS 4. Sequences - Missing Terms 5. Substitution 6. Adding and Subtracting 2-digit numbers. All answers included on the ppt.

Understand the gradient of a line as the rate of change of two variables and calculate rates of changes.

Understand the difference between average and instantaneous change and the difference between using chords and tangents for measuring rates of change, and choose as appropriate.

Using iteration to solve practical problems including areas of shapes being equal.

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.