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.

Starter looks at using the formulae for volume and surface areas for 3D shapes. Explanation of frustum as shape created when top removed from cone or pyramid. Examples of finding volume of a frustum with lengths of whole cone/pyramid included. Extends by looking at using similarity to find volume when given only frustum. Worked examples and questions for all skills. All answers included.

Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. 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.

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.

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.

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.

A complete lesson on ‘Sampling Rationale and Types of Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter asks pupils to find the TOP 10 tv programmes from 2018. Then asks how we know? The need for sampling is explained. Problems with sampling is explained (bias, sample size etc). The different types of sampling are examined. All answers included.

Starter; MC asking pupils to recognise different transformations. Examines how each transformation affects specific points and their coordinates. Rules and methods are derived. Worked examples of all skills and question slides. All answers included on the ppt.

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.

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.

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.

Apply an iterative formula to solving a problem. Understand when to stop iterating.

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.

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.

Use ratios in a variety of contexts to solve problems where: 1] parts are compared 2] ratios are combined 3] ratios are changed.

Understand what compound units represent and how their units describe the parts of the compound. Calculate using density, pressure and speed.

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

Rounding, Estimation and the Limits of Accuracy Lessons included: Rounding with Significant Figures Rounding to a suitable degree of accuracy Estimating calculations Errors and Inequalities Calculations with Bounds Unit Review