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Ages 11 - 14, Years 7 - 9

Linear sequences - nth term in the form an + b
Bisecting angles - using ruler and compasses only
Perpendicular bisectors - using ruler and compasses only
More constructions - equilateral triangle, perpendicular from a point on a line, perpendicular from a point to a line
Trial and improvement - for solving equations approximately

Ages 14 - 16, Years 10 - 11, GCSE Foundation

Percentage multipliers - percentage increases and decreasesas decimal multiplying numbers
Upper and Lower Bounds 1 - introduction
Direct and inverse proportion 1 - with example questions
Inequalities - regions of graphs - combining inequalities
Simultaneous (systems of) equations 1 - adding equations
Simultaneous (systems of) equations 1a - adding or subtracting equations
Simultaneous (systems of) equations 3 - multiplying equations
Straight line graphs 1 - finding the gradient
Straight line graphs 2 - gradients and equations
Straight line graphs 3 - y-intercepts and equations
Circle theorems - isosceles triangles - one vertex at the centre
Circle theorems - angle in a semicircle is a right angle
Circle theorems - angle at the center is twice the angle at the circumference
Circle theorems - tangents - lengths and angles
Reflections 1 - how to draw and find the reflection line
Rotations 1 - how to draw and find the centre and angle
Translations 1 - - how to draw and describe using vector notation
Symmetry 1 - decribing combinations of symmetries as single transformations
Indices 1 - adding
Indices 2 - subtracting
Indices 3 - powers of powers
Indices 4 - zero and negative indices
Surds 1 - what are surds
Surds 2 - some basic rules of manipulation
Surds 3 - simplifying
Surds 4 - simplifying by rationalising the denominator 1
Similarity 1 - intro
Similarity 2 - distances - lengths and scale factors
Similarity 3 - areas
Congruent triangles 1 - introduction
Congruent triangles 2 - SSS - side, side, side
Congruent triangles 3 - SAS - side, angle, side
Congruent triangles 4 - AAS - angle, angle, side
Congruent triangles 5 - RHS - right angle, hypotenuse, side
Moving averages and trend lines 2 - extrapolating the trend
Probability tree diagrams 1 - independent events

Ages 14 - 16, Years 9 - 11 - GCSE Higher

Upper and Lower Bounds 2 - bounds of harder calculations
Indices 5 - fractional indices
Indices 6 - exponential equations
Lengths and angles in cuboids - using Pythagoras and trigonometry
Direct and inverse proportion 2 - harder questions
Algebraic fractions 2 - simplifying
Algebraic fractions 3 - solving equations
Simultaneous (systems of) equations 3 - linear/quadratic
Simultaneous (systems of) equations 4 - linear/quadratic
Straight line graphs 4 - parallel and perpendicular lines 1
Straight line graphs 5 - parallel and perpendicular lines 2
Circle theorems - angle in a semicircle - PROOF
Circle theorems - angle at the center - PROOF
Circle theorems - alternate segment theorem
Histograms 1 - introducing frequency density
Histograms 2 - using frequency densities
Histograms 3 - a common style of question
Probability tree diagrams 2 - dependent events

Ages 16 - 19, Years 12 - 13, A Level

Quadratic sequences - nth term
Cubic sequences - nth term
Algebraic Long Division - cubic expression divided by a linear one
Bubble Sort Algorithm - a worked example
Shuttle Sort (Insertion Sort) Algorithm - a worked example