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.

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.

Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.

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.

Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and 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.

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 introduces language of formulae, variables, subject etc. Uses simple formulae with rectangles and circles to explain calculating an alternative variable. Looks first at formulae where variables only occur once. Extenda to look at examples where variables occur more than once. All skills have worked examples and questions. All answers included.

A complete lesson on ‘Averages from Tables’, written for the new GCSE specification. Examines two different types of large data sets ungrouped and grouped. Explains when and why we sometimes have to find estimates of the averages. Worked examples of all skills included. Questions and all answers included.

A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole. Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.

Lesson explores finding area in non-right triangles using formula ½ abSinC. Worked examples and questions on 1. finding the area 2. finding a missing angle given the area 3. finding a missing side given the area. Looks at example of 3. with isosceles triangle. All answers included.

Starter on scale factors. Worked examples on positive scale factors with a centre of enlargement and then extends to negative scale factors. Examples with integer and then fractional negative scale factors. Includes worksheet for pupils to write on. All answers (including for worksheet) included on the ppt.

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 the gradient of a line as the rate of change of two variables and calculate rates of changes.

Understand a proportional relationship and how they appear. Find how to calculate outputs from directly proportional relationships using dual-number lines, bar-models and proportion grids.

9-1 GCSE lesson looking at Identifying information from a box plot. Using medians, quartiles and interquartile ranges to compare and contrast sets of data

9-1 GCSE lesson examining how functions can be translated. Starter on naming graphs. Explanation and worked examples of graph translation. Effects of f(x) + 2 vs f(x+2) explained and explored using function machines. MC questions on translations. Questions focusing on writing functions from translations. All answers included.

9-1 GCSE lesson exploring how to describe sequences using recurrence relationships. 2 starters: the first looking at general rules of common sequences, the second using worded questions to explore term-to-term and general rules. Worked examples explaining how recursive descriptions follow from term to term rules. Questions. Plenary MC quiz looking at arithmetic and geometric sequences.

9-1 GCSE lesson applying Pythagoras and trigonometry to shapes on Cartesian grids. Starter reviews identifying which trig ratio to use. Worked examples of finding lengths and angles from shapes plotted through coordinates. Questions and worked answers. Plenary looking at where a point can be i you know how far it is from an identified coordinate.