GCSE Higher Lesson. Understand a proportional relationship and how it appears. Solve problems involving ratios changing using equivalence. Starter, worked examples, worksheet(different questions, same formats), 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. Complete and interpret scale drawings.Starter on unitary ratios. Worked examples on converting between plans and real life and vice-versa. Question slides. Worksheet reviewing lesson. All answers included.

9-1 GCSE lesson. Starter reviews standard form and sizes of numbers. Definitions of repeated multiplication and increasing multiplication and of factorials. Worked examples calculating with factorials. Differentiated worksheet on Factorials. Plenary explores 0! and 52!.

Shows how a plotted equation gives multiple solutions which collapse to one pair of coordinates when two equations are considered together. Worked examples and questions with answers.

Whole lesson compliant with 9-1 GCSE specifications. Starter reviews finding upper and lower bounds and looks at calculating bounds for two variables. Examples of questions where bounds or error intervals are applied. GCSE exam style questions alkso included. All answers included.

GCSE content. Lesson includes approximation, multiple choice questions on appropriate estimations. Differentiated questions on estimation. Estimating square roots to 1dp. All answers provided.

How do Ratio and Proportion relate to each other? Definitions , then worked examples and questions. ll answers provided.

Lesson using the ideas of Direct Proportion to solve problems involving unit conversion (length, mass) and currency exchange rates. Worked examples. Questions for each idea. All Answers provided.

Lesson focuses on the elimination method to solve simultaneous equations. Explanation of simultaneous equations, elimination ideas. Lesson covers a) same coefficients same signs, b) same coefficients different signs, c) different coefficients. Worked examples and questions on each skill. Plenary looks at worded questions. All answers included.

Lesson looking at finding missing angles on a straight line. Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers

Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees. Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.

Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers included.

9-1 GCSE lesson. Starter: Converting from terminating decimals into fractions. Definitions of terminating, recurring and non-repeating decimals. How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors. How to convert from a recurring decimal to a fraction using algebra. All ideas have worked examples. Differentiated slide of questions. All answers included.

Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.

Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.

Multiple Choice starter identifying linear and quadratic functions. Reminder of solving linear simultaneous equations graphically. Follows similar process to solve quadratic and linear simultaneous equations. Also looks at styles of questions and manipulations of equations to find which graphs to plot.

Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and 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.

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.