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 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.

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.

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).

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.

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

GCSE Higher Lesson. Understand and using three Laws of Indices: Multiplying with indices Dividing with indices Brackets with indices Starter: writing numbers using indices. Review of base number, power/index. Worked examples on each of the rules, separate differentiated questions and answers on each rule. Harder mixed problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Complete and interpret scale drawings.Starter on unitary ratios. Worked examples on converting between plans and real life and vice-versa. Question slides. Worksheet reviewing lesson. All answers included.

9-1 GCSE Lesson covering what standard form is, why we use it. How to convert from ordinary numbers to standard form and vice-versa. Examples and a differentiated LIMBO worksheet all with answers provided. Plenary is an exam style question involving converting between units of mass and ordering.

Review lesson on Pythagoras Theorem followed by contextual questions eg distance between two points, lengths of diagonals in quadrilaterals, distances from journeys described using bearings. 2 Starters on calculating square roots and estimating square roots. Answers provided for all questions.

9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.

9-1 GCSE Lesson explaining the derivation of the exact values for sin,cos & tan of 30,45,60 degrees. Includes a worksheet [slide 13] for pupils to complete and questions & answers examining how these values are used in questions.