For the teaching and independent learning of mathematics
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Foreword The videos in the new Flash format are marked with an asterisk (*).
New in February 2010 (new format) *Equations of parallel and perpendicular lines 1 *Equations of parallel and perpendicular lines 2
New in January 2010 (new format) *Changing the subject when it appears twice *Upper and lower bounds 2 - calculations
Advanced Level *Planar graphs and Euler's relationship *Planarity proofs *Algebraic Long Division 1 *The Bubble Sort Algorithm *The Shuttle Sort Algorithm
Number and Algebra *Percentage Multipliers 1 *Direct and inverse proportionality *Factors of Numbers *Prime Numbers 1 - The Sieve of Eratosthenes *Prime Factors 1 *Prime Factors 2 - HCF *Prime Factors 3 - LCM *Reciprocals 1 Multiplying by Fractions 1 Dividing Numbers by Fractions Converting Recurring Decimals to Fractions 1 *Indices 1 - Multiplying *Indices 2 - Dividing *Indices 3 - Powers of powers *Upper and Lower Bounds 1 *Upper and lower bounds 2 - calculations *Surds 1 - What are surds? *Surds 2 - Some basic rules *Surds 3 - Simplifying 1 *Surds 4 - Simplifying 2 - Rationalising the Denominator 1 *Proofs about Numbers 1 Squaring Brackets *Changing the subject when it appears twice Making Formulae 1 Making Formulae 2 Making Formulae 3 Equations 1 Equations 2 nth Term of a Linear Sequence *Trial and Improvement 1 *Inequalities - Regions of Graphs *Straight Line Graphs 1 - Gradients Straight Line Graphs 2 - Gradients and Equations Straight Line Graphs 3 - Intercepts and Equations *Equations of parallel and perpendicular lines 1 *Equations of parallel and perpendicular lines 2Completing the Square 1 *Simplifying Algebraic Fractions 2 *Algebraic Fractions 3 - Equations *Simultaneous Equations with Quadratic Terms 1 *Simultaneous Equations with Quadratic Terms 2
Shape and Space *Areas of Trapeziums *Constructions - Bisecting Angles *Constructions - Perpendicular Bisectors *3 More Constructions *Reflections 1 *Rotations 1 *Translations 1 *Circles and Isosceles Triangles Angles in Cyclic Quadrilaterals Angles in Cyclic Quadrilaterals in Reverse Angles in Cyclic Quadrilaterals - Proof *The Angle in a Semicircle *The Angle in a Semicircle ... Proof *Angles in the Same Segment *The Angle at the Centre ... *The Angle at the Centre ... Proof *Circles and Tangents - 2 Theorems *The Angle in the Alternate Segment ... *Circles - Sector Areas and Arc Lengths *Circles - Triangle and Segment Areas *Loci 1 *Loci 2 *Similar Triangles 1 *Similar Shapes - Lengths and Distances *Similar Shapes - Areas *Congruent Triangles 1 - Introduction *Congruent Triangles 2 - SSS *Congruent Triangles 3 - SAS *Congruent Triangles 4 - AAS *Congruent Triangles 5 - RHS *Lengths and angles inside cuboids
Data Handling *Probability - tree diagrams 1 *Tree diagrams 2 - dependent events Estimating the Mean of Grouped Data Cumulative Frequency Diagrams 1 - Introduction Cumulative Frequency Diagrams 2 - Median and Quartiles Cumulative Frequency Diagrams 3 - Boxplots Frequency Polygons 1 Moving Averages 1 *Moving Averages 2 *Histograms 1 - Drawing Histograms *Histograms 2 - Interpreting Histograms *Histograms 3 - A Common Type of Question