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.

Starter looks at single functions. Explanation of the notation of composite functions [ie fg(x) and gf(x)]. Worked examples explaining that order is important. Questions on outputs from combining 2 functions. Combining 3 functions explained. Solving composite functions to find a single value included.All skills have worked examples and questions. All answers included.

Using inverse operations to find inverse functions. Defines an inverse function, an introduces correct notation. Worked examples and questions on single functions. Lesson also looks at inverses of composite functions. Question slides. All answers included.

Lesson describes functions from input-output machines. Definitions explained [range, domain etc]. Finding function rules, finding outputs and solving functions all examined through worked examples. Questions on each skill and general question slide on all skills. 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 covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. All answers included.

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.

Expanding two or three brackets using the Grid method. Starter covers algebraic multiplication grids and multiplying two-digit numbers reviewing the grid method. Worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.

9 lessons covering 1] Expanding multiple brackets [GRID Method] 2] Expanding multiple brackets [FOIL Method] 3] Factorising double brackets 4] Factorising by Completing the Square 5] Algebraic Proof 6] Writing expressions as Functions 7] Composite Functions 8] Inverse Functions 9] Rearranging Formulae All lessons have worked examples, questions slides and full answers.

2 lessons and a worksheet covering Venn Diagrams. Includes looking at describing sets, populating Venn diagrams from with elements from sets and from frequencies. explains how to find probabilities from Venn diagrams. Introduces conditional probability and extends to Venn diagrams with 3 sets. All answers included, worksheet answers on ppt.

Starter look at two-way tables. Links made to similarities and differences between two-way tables and frequency trees. Worked examples including finding probabilities. Worksheet includes questions finding frequencies from proportions of the whole and extends to larger trees. All answers included. Worksheet answers provided on ppt.

Lesson looking at creating sample space diagrams and then finding probabilities from them. Starter is on single event probabilities. Examples look at sums and products with dice and spinners. Worksheet included. All answers included. Answers for worksheet included on ppt.

Lesson looking at using two-way tables to find probabilities. Starter is a number puzzle finding answers from sums of rows and columns. Examples of populating a two-way table and finding probabilities. Worksheet has questions with table partly filled and questions requiring table to be filled from information. All answers included. Answers for worksheet included as slides on ppt.

Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.

Method relates to numerical fractions and reemphasizes canceling common factors. Worked examples for both numerical and algebraic fractions. Looks at single expressions and complex expressions requiring factorisation. Question slides for all skills. All answers included.

2 lessons to cover the AQA GCSE topic on Linear Programming. The first lesson looks at definitions and writing constraints reviewing writing inequalities. The second lesson looks at maximising objectives and solutions. Worked examples for each skill. Worksheet for solutions lesson. All answers included.

Written for the AQA GCSE topic. Starter looks at identifying inequalities on graphs. Worked examples of maximising objective functions. Worksheet with graph questions to solidify learning. All answers included.

Written for the AQA GCSE topic. Starter looks at solving linear inequalities. Linear Programming definitions explained. Links to drawing inequalities made explicit. Worked examples of writing constraints. Questions. All answers included.

Lesson splits skill into 3 parts A: Fractions with numerical denominators B: Fractions with single expression denominators C: Fractions with multiple expression denominators Worked examples and questions on each skill. Problem Solving question using vector lengths. All answers included.