Starter looks at expanding double brackets. Explanation of why we might want to use method. How to complete the square when a = 1 explained with worked examples.Questions and worked answers. How to complete the square when a≠1 explained with worked examples. Questions on all skills. All answers 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.

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

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.

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.

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

Set up and use algebraic directly proportional relationships

Set up and use direct and inversely proportional relationships from practical contexts.

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

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 Bingo Choose 9 answers from a grid of 16. 3 different games. All answers included. Multiple Choice Quizzes 12 questions per quiz. Two different quizzes. All answers included.

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 Multiple Choice Quizzes 12 question s per quiz. Two different quizzes. All answers included. Bingo Choose 9 answers from a grid of 16. 3 different games. All answers included.