GCSE Higher Lesson. Understand and using three Laws of Indices: Multiplying with indices Dividing with indices Brackets with indices Starter: writing numbers using indices. Review of base number, power/index. Worked examples on each of the rules, separate differentiated questions and answers on each rule. Harder mixed problems. Worksheet following lesson design. All answers included.

Lessons include Substitution 2a. Expanding Brackets (Grid Method) 2b. Expanding Brackets (FOIL Method) Factorising (Single Brackets) 4a. Factorising (Two Brackets a = 1) 4b. Factorising (Two Brackets a ≠ 1) 4c. Factorising (Difference of Two Squares) 5. Expressions as Functions Composite Functions Inverse Functions Rearranging Formulae

GCSE Higher Lesson. Rearrange a formula where the subject appears once. Starter: Substitution and solving to solve algebraic problems Explanation of subjects, objects and variables in formulae. Worked examples , differentiated questions and answers. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Use inverse operations to find inverse functions, using the correct notation. Starter: Completing input-output machines. Explanation of inverses using input-output machines. Worked examples, differentiated questions and answers.Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Combine two or more functions into a single composite function, using the correct notation. Starter: Complete mapping diagrams. Explanation uses input-output machines to explain importance of order. Worked examples, differentiated questions and answers. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand an expression as a function, and link them to formulae. Starter: Input-Output Loop cards Definitions of a function, domain, range and notation. Explanations of the different skills that we are asked to use with functions. Including Defining a function from a domain and range. Evaluating a function from an input. Solving a function for a specific output. Worked examples, differentiated questions. All answers included. Worksheet following style of lesson. Answers include.

GCSE Higher Lesson. Understand how to factorise expressions using the difference of two squares. Applications using both numerical and algebraic expressions . Worked examples with both numbers and letters, differentiated questions and answers. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to factorise expressions using two brackets, where a> 1. Starter: Find two numbers, product and sum. Explanation of how to find a,b,c from a quadratic expression. Worked examples on factorising, differentiated questions and answers. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to factorise expressions using two brackets, where a = 1. Starter: Find two numbers, product and sum. Explanation of how to find a,b,c from a quadratic expression.Worked examples on factorising, differentiated questions and answers. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to factorise expressions into a single bracket. Starter: Common factors, expanding single brackets. Find Four activity on common factors of algebraic expressions. Multiple choice questions on HCF of algebraic expressions. Worked examples on factorising into a single bracket, differentiated questions and answers. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to multiply two or three brackets together using the FOIL method. Starter: Algebraic expressions multiplication grid. Worked examples on grid multiplication with numbers extending to algebra. Multiplying two brackets, differentiated questions and answers. Squaring brackets. Multiplying three brackets.Cubing brackets. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to multiply two or three brackets together using the grid method… Starter: Algebraic expressions multiplication grid. Worked examples on grid multiplication with numbers extending to algebra. Multiplying two brackets, differentiated questions and answers. Squaring brackets. Multiplying three brackets.Cubing brackets. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand substitution of a variable into an expression or formula. Differentiated lesson exploring substituting variables which are integers, negatives and fractions. Starter, worked examples, questions, worksheet. All answers included.

Lessons included: Properties of Quadrilaterals Area of Parallelograms and Triangles Area of a Trapezium Area of a Compound Shape Angles in Triangles and Quadrilaterals Angles in Polygons Exterior Angles of Polygons Regular Polygons Each lesson includes starters, worked examples, questions, worksheet. All answers included.

GCSE Higher Lesson. Understand the properties of regular polygons and how these influence calculations involving interior and exterior angles. Solve problems involving angle sums, interior and exterior angles, and/or numbers of sides and missing angles in regular polygons. Starter, worked examples, question slides, worksheet, all answers included

GCSE Higher Lesson. Understand the angle sum of exterior angles for polygons with different numbers of sides. Solve problems involving exterior angles and missing angles in polygons. Starter, worked examples, question slides, worksheet, all answers included

GCSE Higher Lesson. Understand the angle sum for polygons with different numbers of sides Solve problems involving angle sums and/or numbers of sides and missing angles in polygons. Starter, worked examples, question slides, worksheet, all answers included

GCSE Higher Lesson. Find angles in scalene and isosceles triangles. Find angles in the special quadrilaterals using symmetry properties and understanding of angle properties on straight lines. Starter, worked examples, question slides, worksheet, all answers included.

GCSE Higher Lesson. Understand how compound shapes are made from simple polygons. Find the area of compound shapes by splitting them into simpler polygons. Starter, worked examples, worksheet, all answers included

Rearranging linear equations into the form y = mx + c and then finding the gradient or intercept. Powerpoint contains 6 different games. 2 finding gradients, 2 finding intercepts and 2 mixed. All answers provided.