Teach Me Maths

Edexcel GCSE Foundation revision notes

123 topics, each with explanations, worked examples and the notes read aloud.

Number

  1. Place Value and Ordering Numbers Number
  2. Written Methods for the Four Operations Number
  3. Negative Numbers Number
  4. Order of Operations Number
  5. Factors, Multiples, Primes, Squares and Cubes Number
  6. Prime Factorisation, HCF and LCM Number
  7. Powers and Roots Number
  8. Laws of Indices Number
  9. Simplifying and Ordering Fractions Number
  10. Adding and Subtracting Fractions Number
  11. Multiplying and Dividing Fractions Number
  12. Fractions of Amounts Number
  13. Converting Fractions, Decimals and Percentages Number
  14. Rounding Number
  15. Estimation Number
  16. Error Intervals Number
  17. Standard Form Number
  18. Using a Calculator Number
  19. Related Calculations and Inverse Operations Number
  20. Systematic Listing Number
  21. Money and Financial Maths Number
  22. Multi-Step Worded Problems Number
  23. Fractions - Four Operations Number

Algebra

  1. Algebraic Notation and Vocabulary Algebra
  2. Simplifying Expressions and Collecting Like Terms Algebra
  3. Substitution Algebra
  4. Expanding Single Brackets Algebra
  5. Factorising into Single Brackets Algebra
  6. Expanding Double Brackets Algebra
  7. Factorising Quadratics Algebra
  8. Laws of Indices in Algebra Algebra
  9. Writing Expressions and Formulae Algebra
  10. Rearranging Formulae Algebra
  11. Function Machines Algebra
  12. Solving One- and Two-Step Equations Algebra
  13. Equations with Brackets and Unknowns on Both Sides Algebra
  14. Forming and Solving Equations Algebra
  15. Solving Quadratics by Factorising Algebra
  16. Simultaneous Equations Algebra
  17. Inequalities on a Number Line Algebra
  18. Solving Linear Inequalities Algebra
  19. Identities and Algebraic Arguments Algebra
  20. Sequences - Term-to-Term Rules and Patterns Algebra
  21. Special Sequences Algebra
  22. nth Term of Linear Sequences Algebra
  23. Coordinates and Midpoints Algebra
  24. Plotting Straight-Line Graphs Algebra
  25. Gradients and y = mx + c Algebra
  26. Quadratic Graphs Algebra
  27. Cubic and Reciprocal Graphs Algebra
  28. Solving Equations Using Graphs Algebra
  29. Real-Life and Conversion Graphs Algebra
  30. Distance-Time Graphs Algebra

Ratio, proportion and rates of change

  1. Metric Unit Conversions Ratio, proportion and rates of change
  2. Area and Volume Unit Conversions Ratio, proportion and rates of change
  3. Writing and Simplifying Ratios Ratio, proportion and rates of change
  4. Sharing in a Ratio Ratio, proportion and rates of change
  5. Ratio Problems Ratio, proportion and rates of change
  6. Proportion - Recipes Ratio, proportion and rates of change
  7. Best Buys Ratio, proportion and rates of change
  8. Exchange Rates Ratio, proportion and rates of change
  9. Percentage of an Amount Ratio, proportion and rates of change
  10. Percentage Increase and Decrease Ratio, proportion and rates of change
  11. Percentage Change Ratio, proportion and rates of change
  12. Reverse Percentages Ratio, proportion and rates of change
  13. Simple and Compound Interest Ratio, proportion and rates of change
  14. Speed, Distance and Time Ratio, proportion and rates of change
  15. Density, Mass and Volume Ratio, proportion and rates of change
  16. Pressure, Force and Area Ratio, proportion and rates of change
  17. Direct and Inverse Proportion Ratio, proportion and rates of change
  18. Scale Drawings and Maps Ratio, proportion and rates of change

Geometry and measures

  1. Properties of 2D Shapes Geometry and measures
  2. Symmetry Geometry and measures
  3. 3D Shapes - Faces, Edges and Vertices Geometry and measures
  4. Measuring and Drawing Lines and Angles Geometry and measures
  5. Angle Facts Geometry and measures
  6. Angles in Parallel Lines Geometry and measures
  7. Angles in Polygons Geometry and measures
  8. Perimeter Geometry and measures
  9. Area of Rectangles, Triangles, Parallelograms and Trapezia Geometry and measures
  10. Area of Compound Shapes Geometry and measures
  11. Circles - Circumference and Area Geometry and measures
  12. Circles and Semicircles Geometry and measures
  13. Volume of Cuboids and Prisms Geometry and measures
  14. Cylinders Geometry and measures
  15. Surface Area of Prisms and Cylinders Geometry and measures
  16. Spheres, Cones and Pyramids Geometry and measures
  17. Plans and Elevations Geometry and measures
  18. Constructions Geometry and measures
  19. Loci Geometry and measures
  20. Bearings Geometry and measures
  21. Reflections Geometry and measures
  22. Rotations Geometry and measures
  23. Translations and Column Vectors Geometry and measures
  24. Enlargements Geometry and measures
  25. Describing and Combining Transformations Geometry and measures
  26. Congruence Geometry and measures
  27. Similar Shapes Geometry and measures
  28. Pythagoras Geometry and measures
  29. Trigonometry Geometry and measures
  30. Exact Trig Values Geometry and measures
  31. Vectors Geometry and measures

Probability

  1. Basic Probability and the Probability Scale Probability
  2. Probabilities Summing to 1 Probability
  3. Relative Frequency and Expected Outcomes Probability
  4. Sample Space Diagrams Probability
  5. Frequency Trees Probability
  6. Two-Way Tables Probability
  7. Venn Diagrams and Set Notation Probability
  8. Tree Diagrams Probability

Statistics

  1. Sampling - Estimating a Population Statistics
  2. Frequency Tables Statistics
  3. Pictograms, Bar Charts and Vertical Line Charts Statistics
  4. Pie Charts Statistics
  5. Line Graphs and Time Series Statistics
  6. Stem and Leaf Diagrams Statistics
  7. Frequency Polygons Statistics
  8. Mean, Median, Mode and Range Statistics
  9. Averages from Frequency Tables Statistics
  10. Averages from Grouped Frequency Tables Statistics
  11. Averages Problems Statistics
  12. Comparing Distributions Statistics
  13. Scatter Graphs and Correlation Statistics