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.

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 asks pupils to recognise which transformation produced an image [MC]. Definition of invariance and then examination of how each transformation does (or doesn’t) produce invariant points. Question slides. All answers included on ppt.

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.

Lesson covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. 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.

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 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.

9-1 GCSE lesson finding the gradient and then equation of a line from two coordinates. Starter looks at finding if a coordinate is on,above or below a given line. Worked examples on finding a gradient, questions, Worked examples on substituting a gradient into y=mx+c to find the intercept, questions. All answers included.

Lesson looks at rounding with Bounds. How significant figures apply to standard form. Problem Solving with standard form and Bounds. Full worked examples and ALL answers included.

Looking at locus- around a point to a line to a line segment to 2 points to 2 lines Worked examples and questions included. All answers included.

Lesson introduces tree diagrams and explains how used for finding probabilities of independent events. Worked examples. Worksheet, All answers worked through and included on ppt.

What is independence. Looking at how we examine independence with conditional probability using the formula P(A given B) etc. Worked examples of all skills. Question slides. All answers worked through on ppt.

Interpret real life situations and their graphical representations. Read information from graphs, understanding their scales. Add information to a graph. Interpret a graph by its shape. Identify the functional relationship of variables from the shape of a graph (linear, quadratic etc).

Draw and interpret distance time graphs without scales. Match graphs with descriptions

Interpret a speed-time graph. Draw a speed time graph from a distance time graph.

GCSE Higher Lesson. Understand how to factorise expressions into a single bracket. Starter: Common factors, expanding single brackets. Find Four activity on common factors of algebraic expressions. Multiple choice questions on HCF of algebraic expressions. Worked examples on factorising into a single bracket, differentiated questions and answers. Practical problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Understand how to multiply two or three brackets together using the grid 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.