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Table of contents

All maths topics

Seven areas of maths, 130 lessons. Each topic page gives you the big picture first; each lesson then goes deep on one idea with a worked example and the formulas to keep.

01

Numbers

Fractions, decimals, percentages, primes, powers and the rules that hold them together.

  1. Counting and Place Value1.1
  2. Comparing and Ordering Numbers1.2
  3. Adding Within 201.3
  4. Subtracting Within 201.4
  5. Skip Counting in 2s, 5s and 10s1.5
  6. Odd and Even Numbers1.6
  7. Place Value to a Million1.7
  8. Rounding and Estimating1.8
  9. Column Addition1.9
  10. Column Subtraction1.10
  11. Multiplication: Equal Groups and Arrays1.11
  12. Multiplying Larger Numbers1.12
  13. Division: Sharing and Grouping1.13
  14. Short and Long Division with Remainders1.14
  15. Factors and Multiples1.15
  16. Prime Numbers1.16
  17. Highest Common Factor and Lowest Common Multiple1.17
  18. Fractions Explained1.18
  19. Equivalent Fractions and Simplifying1.19
  20. Comparing and Ordering Fractions1.20
  21. Mixed Numbers and Improper Fractions1.21
  22. Adding and Subtracting Fractions1.22
  23. Multiplying Fractions1.23
  24. Dividing Fractions1.24
  25. Finding a Fraction of an Amount1.25
  26. Decimals Explained1.26
  27. Comparing and Rounding Decimals1.27
  28. Adding and Subtracting Decimals1.28
  29. Multiplying and Dividing Decimals1.29
  30. Percentages1.30
  31. Fractions, Decimals and Percentages Together1.31
  32. Ratios and Sharing in a Ratio1.32
  33. Rates and Direct Proportion1.33
  34. Negative Numbers and Integer Operations1.34
  35. Order of Operations1.35
  36. Powers and Roots1.36
02

Times Tables

The 1 to 12 times tables: patterns, tricks and checked practice, with a 12 by 12 chart.

  1. 1 Times Table2.1
  2. 2 Times Table2.2
  3. 3 Times Table2.3
  4. 4 Times Table2.4
  5. 5 Times Table2.5
  6. 6 Times Table2.6
  7. 7 Times Table2.7
  8. 8 Times Table2.8
  9. 9 Times Table2.9
  10. 10 Times Table2.10
  11. 11 Times Table2.11
  12. 12 Times Table2.12
03

Algebra

Letters for unknowns: expressions, equations, functions and the graphs that picture them.

  1. Repeating Patterns3.1
  2. Missing Numbers and Equalities3.2
  3. Number Sequences and Rules3.3
  4. Algebraic Expressions3.4
  5. Substitution into Expressions3.5
  6. Collecting Like Terms3.6
  7. Expanding Single Brackets3.7
  8. Factorising with a Common Factor3.8
  9. Solving Equations3.9
  10. Writing Equations from Word Problems3.10
  11. Inequalities and Number Lines3.11
  12. Coordinates in Four Quadrants3.12
  13. Linear Equations3.13
  14. Using and Rearranging Simple Formulas3.14
  15. Functions and Graphs3.15
  16. Quadratic Equations3.16
04

Geometry

Shape and space: angles, triangles, circles, area and moving shapes around a plane.

  1. Shapes All Around4.1
  2. Position, Direction and Turns4.2
  3. Recognising 3D Shapes4.3
  4. Nets, Faces, Edges and Vertices4.4
  5. Lines, Segments, Parallel and Perpendicular4.5
  6. Angles4.6
  7. Measuring and Drawing Angles4.7
  8. Angle Rules on Lines and Around a Point4.8
  9. Triangles4.9
  10. Quadrilaterals and Their Properties4.10
  11. Line and Rotational Symmetry4.11
  12. Polygons and Interior Angles4.12
  13. Area and Perimeter4.13
  14. Area of Triangles, Parallelograms and Trapezia4.14
  15. Circles4.15
  16. Pythagoras' Theorem4.16
  17. Transformations4.17
  18. Congruence and Similarity4.18
05

Data & Statistics

Collecting, picturing and summarising data, and reasoning about chance.

  1. Sorting and Grouping Objects5.1
  2. Counting with Tally Marks5.2
  3. Reading Tables and Pictograms5.3
  4. Bar Charts5.4
  5. Line Graphs5.5
  6. Reading and Drawing Pie Charts5.6
  7. Charts and Graphs5.7
  8. Collecting Data and Asking Fair Questions5.8
  9. Frequency Tables and Dot Plots5.9
  10. Mean, Median and Mode5.10
  11. Range and Outliers5.11
  12. Chance: Impossible to Certain5.12
  13. Introduction to Probability5.13
  14. Standard Deviation5.14
06

Measurement

Units, length, area, volume, time and moving confidently between measurement systems.

  1. Units of Measurement6.1
  2. Comparing Length, Mass and Capacity6.2
  3. Measuring Length with a Ruler6.3
  4. Metric Length: mm, cm, m and km6.4
  5. Mass: Grams and Kilograms6.5
  6. Capacity: Millilitres and Litres6.6
  7. Time and Clocks6.7
  8. Quarter Past, Quarter To and Five-Minute Times6.8
  9. Calendars, Days and Months6.9
  10. 12-Hour and 24-Hour Time6.10
  11. Elapsed Time and Timetables6.11
  12. Unit Conversions6.12
  13. Area and Volume6.13
  14. Surface Area of Cubes and Cuboids6.14
  15. Temperature and Thermometers6.15
  16. Speed, Distance and Time6.16
07

Calculus

The mathematics of change: limits, derivatives, integrals and the chain rule.

  1. Understanding Limits7.1
  2. Derivatives7.2
  3. Integration7.3
  4. The Chain Rule7.4
08

Money & Finance

Interest, compound growth and budgeting, the maths behind everyday money decisions.

  1. Recognising and Counting Money8.1
  2. Adding Prices and Finding Change8.2
  3. Multiplying Prices and Sharing Bills8.3
  4. Budgeting with Maths8.4
  5. Saving Towards a Goal8.5
  6. Comparing Prices and Unit Costs8.6
  7. Discounts and Sale Prices8.7
  8. Percentage Increase and Decrease8.8
  9. Profit and Loss8.9
  10. Tax on a Price: A Worked Percentage Example8.10
  11. Currency Conversion with a Given Rate8.11
  12. Interest and Percentages8.12
  13. Compound Interest8.13
  14. Borrowing: Principal, Interest and Total Repayment8.14