Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.

Using the Term-to-Term Rule to generate quadratic sequences. Exploring differences and second differences to investigate the similarities between sequences. Worked examples of all skills. All 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.

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.

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.

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 ‘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.

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.

Looks at describing vectors in relation to 2D shapes. Worked examples showing how fractions of vectors, negative vectors and lines divided in half or through ratios are included. Question slides. All answers included on the ppt.

Lesson introducing the ideas of describing translation using vectors. Starter identifying coordinates. Definition of a vector, lots of examples and questions included. Looks at how to translate shapes using a vector.

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.

Expanding two or three brackets using the FOIL method. Starter covers algebraic multiplication grid. Worked examples explain the FOIL method and there are further worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.

Lesson looks at Linear expressions as a review of factorising skill. Introduces factorising double brackets by looking at cases where a = 1 and explaining a, b and c in ax^2+bx+c. Then looks at cases where a≠1 using the box model. All skills include worked examples and question slides. ALL answers are included.

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

Understand the difference between average and instantaneous change and the difference between using chords and tangents for measuring rates of change, and choose as appropriate.

Understand inverse proportion as division into a constant or multiplication to a constant. Calculate using inversely proportional relationships.

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 proportional relationships and find constants of proportionality

Set up and use algebraic inversely proportional relationships