The Library · Mathematics

Mathematics
Upper Secondary

Grades 9–10 · IGCSE, GCSE, O-Level, CBSE

FoundationLower SecondaryUpper SecondaryPre-UniversityUniversity Foundations

10 of 80 lectures are ready to read. The rest are listed so you can see where the subject goes; each one switches on as it is finished.

Number Advanced

Surds and Irrational Numbers5 of 5 ready
  1. 01What is a surd — irrational roots explained
  2. 02Simplifying surds — finding the largest square factor
  3. 03Adding and subtracting surds — like terms only
  4. 04Multiplying and dividing surds
  5. 05Rationalising the denominator — single and conjugate
Standard Form and Approximation4 of 4 ready
  1. 01Standard form — writing very big and small numbers
  2. 02Calculating with standard form
  3. 03Rounding and significant figures
  4. 04Estimation — sense-checking answers

Algebra Advancing

Expanding and Factorising1 of 5 ready
  1. 01Expanding double brackets — FOIL method
  2. 02Expanding triple brackets step by stepcoming soon
  3. 03Factorising quadratics — two bracketscoming soon
  4. 04Difference of two squares — the shortcutcoming soon
  5. 05Completing the square — rewriting quadraticscoming soon
Quadratic Equations0 of 4 ready
  1. 01Solving quadratics by factorisingcoming soon
  2. 02The quadratic formula — when factorising failscoming soon
  3. 03The discriminant — how many solutionscoming soon
  4. 04Solving quadratics by completing the squarecoming soon
Simultaneous Equations0 of 4 ready
  1. 01Simultaneous equations — substitution methodcoming soon
  2. 02Simultaneous equations — elimination methodcoming soon
  3. 03One linear one quadratic — substitutioncoming soon
  4. 04Simultaneous equations word problemscoming soon
Linear and Quadratic Graphs0 of 5 ready
  1. 01Drawing straight line graphs from an equationcoming soon
  2. 02Gradient and y-intercept — what do they meancoming soon
  3. 03Finding the equation of a straight linecoming soon
  4. 04Sketching quadratic graphs — key featurescoming soon
  5. 05Sketching cubics and higher polynomialscoming soon
Functions0 of 4 ready
  1. 01What is a function — inputs outputs notationcoming soon
  2. 02Composite functions — functions inside functionscoming soon
  3. 03Inverse functions — undoing a functioncoming soon
  4. 04Domain and range — what values are allowedcoming soon
Graph Transformations0 of 4 ready
  1. 01Translations — shifting graphs up down left rightcoming soon
  2. 02Reflections — flipping graphs across axescoming soon
  3. 03Stretches — scaling horizontally and verticallycoming soon
  4. 04Combined transformations — order matterscoming soon
Indices and Logarithms0 of 5 ready
  1. 01Index laws — the rules for powerscoming soon
  2. 02Negative and fractional indicescoming soon
  3. 03What is a logarithm — the inverse of a powercoming soon
  4. 04Laws of logarithmscoming soon
  5. 05Solving exponential equations with logarithmscoming soon

Geometry Advanced

Circle Theorems0 of 5 ready
  1. 01Angle at the centre — the key circle theoremcoming soon
  2. 02Angles in a semicircle and cyclic quadrilateralscoming soon
  3. 03Tangent properties — right angles and equal lengthscoming soon
  4. 04The alternate segment theoremcoming soon
  5. 05Combining circle theorems — exam problemscoming soon
Trigonometry in Right-Angled Triangles0 of 5 ready
  1. 01SOH CAH TOA — sin cos tan introducedcoming soon
  2. 02Finding missing sides using trigonometrycoming soon
  3. 03Finding missing angles using inverse trigcoming soon
  4. 04Angles of elevation and depressioncoming soon
  5. 05Exact trig values — 30 45 60 degreescoming soon
Trigonometry in Non-Right-Angled Triangles0 of 4 ready
  1. 01The sine rule — finding sides and anglescoming soon
  2. 02The cosine rule — SAS and SSS trianglescoming soon
  3. 03Area of a triangle using sine — half ab sinCcoming soon
  4. 043D trigonometry — applying trig in three dimensionscoming soon
Vectors0 of 5 ready
  1. 01What is a vector — magnitude and directioncoming soon
  2. 02Vector addition and subtractioncoming soon
  3. 03Multiplying a vector by a scalarcoming soon
  4. 04Position vectors and midpointscoming soon
  5. 05Using vectors to prove geometric resultscoming soon
Mensuration Advanced0 of 4 ready
  1. 01Arc length and sector areacoming soon
  2. 02Surface area of 3D shapescoming soon
  3. 03Volume of 3D shapes — spheres cones pyramidscoming soon
  4. 04Similar shapes — area and volume scale factorscoming soon

Statistics Advancing

Cumulative Frequency and Box Plots0 of 4 ready
  1. 01Cumulative frequency — table and curvecoming soon
  2. 02Reading cumulative frequency — median and quartilescoming soon
  3. 03Box plots — drawing and interpretingcoming soon
  4. 04Comparing distributions using box plotscoming soon
Histograms0 of 4 ready
  1. 01Histograms vs bar charts — what is the differencecoming soon
  2. 02Drawing histograms from frequency tablescoming soon
  3. 03Reading histograms — estimating frequenciescoming soon
  4. 04Estimating median and quartiles from a histogramcoming soon
Correlation and Regression0 of 4 ready
  1. 01Scatter graphs — spotting correlationcoming soon
  2. 02Lines of best fit — drawing and using themcoming soon
  3. 03Pearson's correlation coefficientcoming soon
  4. 04Least squares regression linecoming soon
Probability Advanced0 of 5 ready
  1. 01Probability rules — addition and multiplicationcoming soon
  2. 02Tree diagrams — conditional probability made visualcoming soon
  3. 03Venn diagrams for probabilitycoming soon
  4. 04Permutations and combinations — counting methodscoming soon
  5. 05The binomial distribution — repeated trialscoming soon