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.

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 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.

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.

Explanation and worked examples for using the Cosine Rule. Finding a missing side and finding a missing angle treated separately. Worked examples and question slides on each skill. All answers are worked through.

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.

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.

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 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.

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 MC 1 -10 looks at trigonometry in Right-angled Triangles. Sine Rule introduced and explained. Lesson looks at finding a missing side, worked examples and questions. Then finding a missing angle, worked examples and questions. Plenary MC 1-10 looking at choosing when to choose Sine Rule and correct workings.

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 ‘Grouping Discrete Data’, written for the new GCSE specification. Starter looks at whether data should be counted or measured and reinforces the differences between discrete and continuous data. Rationale for grouping examined. Examples of data being grouped, tallied and then represented. Questions and answers on slides.

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.

A complete lesson on ‘Types of Data’ written for the new GCSE. Starter asks pupils to match data sets with pie charts. Lesson examines Qualitative and Quantitative data. Categorical and Ordinal data. Questions on which display methods should be used for different types of data. All answers included.

A complete lesson on ‘Grouping Continuous Data’, written for the new GCSE specification. Starter looks at whether data should be measured or counted leading into explanation of differences between discrete and continuous data. Explanation of why continuous data must be grouped. Examines why we don’t use bar charts for continuous data and what we do use. Questions and answers included on slides.

Lesson looking at when to apply each rule. Starter shows triangles and asks Sine or Cosine. Worked examples of worded questions showing method. starting with drawing and labelling a diagram. Question sheet has mixed questions. All answers included as worked through solutions.

Lesson examines how vectors can be combined. Starter asks pupils to identify vector required between two coordinates. Vector arithmetic with both diagrams and column vectors explained. Worked examples and questions on all skills. All answers included on ppt.

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.