Expanding two or three brackets using the FOIL method. Starter covers algebraic multiplication grid. Worked examples explain the FOIL method and there are further worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.

Lesson looks at Linear expressions as a review of factorising skill. Introduces factorising double brackets by looking at cases where a = 1 and explaining a, b and c in ax^2+bx+c. Then looks at cases where a≠1 using the box model. All skills include worked examples and question slides. ALL answers are included.

Lesson examining what proportion is and how to use proportional relationships to solve problems. Looks at describing proportion using words, fractions , decimals or percentages. Proportional relationships examined include unit conversion, using formulae and recipes. Methods include double number lines and bar model methods. Questions on all skills. All answers included on the ppt.

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.

Rearrange an equation to produce an iterative formula. Understand that there can be more than one iterative formula for an equation. Use an iterative formula to solve an equation.

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

Apply an iterative formula to solving a problem. Understand when to stop iterating.

Understand and write proportions as fractions and as algebraic relationships. Compare ratios and fractions. Express one variable in terms of another when represented as a ratio.

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.

Use ratios in a variety of contexts to solve problems where: 1] parts are compared 2] ratios are combined 3] ratios are changed.

Understand what compound units represent and how their units describe the parts of the compound. Calculate using density, pressure and speed.