Maths. Level 1 to 18.

Sheet MA-NUMLevels 1 to 16

1. Place value

   MA-NUM-PLV · Primary 1 to Primary 5 · about 6 modules planned

   Ones, tens, hundreds and beyond: what each digit is worth.

   • About 6 planned

2. Rounding and estimating

   MA-NUM-RND · Primary 3 to JSS 1 · about 4 modules planned

   Rounding to the nearest ten, hundred or decimal place, and sensible estimates.

   • About 4 planned

3. Negative numbers

   MA-NUM-NEG · Primary 4 to JSS 2 · about 4 modules planned

   Numbers below zero: temperatures, debts and the number line.

   • About 4 planned

4. Factors, multiples and primes

   MA-NUM-FAC · Primary 4 to JSS 3 (BECE) · about 5 modules planned

   Factors, multiples, primes, HCF and LCM.

   • About 5 planned

5. Powers and roots

   MA-NUM-POW · Primary 6 to SSS 1 · 1 of about 5 modules specified

   Squares, cubes, square roots and the laws of indices.

   • MA-NUM-POW-0101Squares, cubes and rootsMA-NUM-POW-01, Planned
   • 4 more planned

6. Standard form

   MA-NUM-STF · JSS 2 to SSS 2 · about 3 modules planned

   Writing very large and very small numbers, from distances in space to the size of cells.

   • About 3 planned

7. Surds

   MA-NUM-SRD · SSS 1 to SSS 3 (WASSCE) · about 3 modules planned

   Exact answers with roots: simplifying and rationalising.

   • About 3 planned

8. Number theory

   MA-NUM-NTH · A level / JUPEB / foundation year to 300 Level · about 6 modules planned

   Divisibility, modular arithmetic and primes, the maths behind cryptography.

   • About 6 planned

Sheet MA-ARILevels 1 to 7

1. Operations

   MA-ARI-OPS · Primary 1 to Primary 4 · 4 modules specified

   Adding, subtracting, multiplying and dividing, and how they connect.

   • MA-ARI-OPS-0101Adding and subtractingMA-ARI-OPS-01, Planned
   • MA-ARI-OPS-0202Multiplication as equal groupsMA-ARI-OPS-02, Sample lesson in the demo
   • MA-ARI-OPS-0303Division as sharing and groupingMA-ARI-OPS-03, Planned
   • MA-ARI-OPS-0404Multiplying and dividing togetherMA-ARI-OPS-04, Planned

2. Times tables

   MA-ARI-TBL · Primary 2 to Primary 5 · about 6 modules planned

   Tables up to 12 × 12, patterns in them, and quick recall games.

   • About 6 planned

3. Long multiplication and division

   MA-ARI-LMD · Primary 4 to JSS 1 · about 4 modules planned

   Written methods for bigger numbers, with estimates to check.

   • About 4 planned

4. Order of operations

   MA-ARI-ORD · Primary 5 to JSS 1 · 1 of about 2 modules specified

   BODMAS: which part of a calculation to do first, and how brackets change it.

   • MA-ARI-ORD-0101Order of operationsMA-ARI-ORD-01, Planned
   • 1 more planned

Sheet MA-FDPLevels 2 to 11

1. Fraction sense

   MA-FDP-FRS · Primary 2 to Primary 6 · 6 modules specified

   What a fraction is, where it sits on a number line, and when two fractions are the same.

   • MA-FDP-FRS-0101Parts of a wholeMA-FDP-FRS-01, Sample lesson in the demo
   • MA-FDP-FRS-0202Fractions of an amountMA-FDP-FRS-02, Planned
   • MA-FDP-FRS-0303Fractions on a number lineMA-FDP-FRS-03, Planned
   • MA-FDP-FRS-0404Equivalent fractionsMA-FDP-FRS-04, Planned
   • MA-FDP-FRS-0505Comparing and ordering fractionsMA-FDP-FRS-05, Planned
   • MA-FDP-FRS-0606Mixed numbers and improper fractionsMA-FDP-FRS-06, Planned

2. Fraction operations

   MA-FDP-OPS · Primary 4 to JSS 1 · 4 modules specified

   Adding, subtracting, multiplying and dividing fractions and mixed numbers.

   • MA-FDP-OPS-0101Adding and subtracting with the same denominatorMA-FDP-OPS-01, Planned
   • MA-FDP-OPS-0202Adding and subtracting with different denominatorsMA-FDP-OPS-02, Planned
   • MA-FDP-OPS-0303Multiplying fractionsMA-FDP-OPS-03, Planned
   • MA-FDP-OPS-0404Dividing fractionsMA-FDP-OPS-04, Planned

3. Decimals

   MA-FDP-DEC · Primary 4 to JSS 2 · about 6 modules planned

   Tenths and hundredths, decimal place value, and calculating with decimals.

   • About 6 planned

4. Percentages

   MA-FDP-PCT · Primary 5 to JSS 3 (BECE) · about 5 modules planned

   Out of a hundred: percentages of amounts, discounts and interest.

   • About 5 planned

5. Converting fractions, decimals and percentages

   MA-FDP-CNV · Primary 6 to JSS 3 (BECE) · about 3 modules planned

   Three ways to write the same amount, and when each is handiest.

   • About 3 planned

6. Percentage change

   MA-FDP-PCH · JSS 2 to SSS 2 · about 4 modules planned

   Increases, decreases, profit and loss, and reverse percentages.

   • About 4 planned

Sheet MA-RATLevels 3 to 10

1. Ratio

   MA-RAT-RAT · Primary 6 to JSS 3 (BECE) · about 4 modules planned

   Comparing quantities, simplifying ratios and sharing in a ratio.

   • About 4 planned

2. Proportion

   MA-RAT-PRP · JSS 1 to SSS 1 · about 4 modules planned

   Direct and inverse proportion, from recipes to journey times.

   • About 4 planned

3. Rates

   MA-RAT-RTE · JSS 1 to SSS 1 · about 3 modules planned

   Speed, price per kilogram and other rates.

   • About 3 planned

4. Scale

   MA-RAT-SCL · Primary 6 to JSS 3 (BECE) · about 3 modules planned

   Maps, scale drawings and scale factors.

   • About 3 planned

5. Units and conversions

   MA-RAT-UNT · Primary 3 to JSS 2 · about 5 modules planned

   Length, mass, capacity and time, and converting between units.

   • About 5 planned

Sheet MA-ALGLevels 5 to 18

1. Expressions

   MA-ALG-EXP · Primary 6 to JSS 3 (BECE) · 1 of about 5 modules specified

   Using letters for numbers, collecting like terms and expanding brackets.

   • MA-ALG-EXP-0101Letters for numbersMA-ALG-EXP-01, Planned
   • 4 more planned

2. Linear equations

   MA-ALG-LIN · Primary 5 to JSS 3 (BECE) · 7 modules specified

   Finding the unknown: from a balanced scale to inequalities.

   • MA-ALG-LIN-0101What an equation meansMA-ALG-LIN-01, Planned
   • MA-ALG-LIN-0202One-step equationsMA-ALG-LIN-02, Planned
   • MA-ALG-LIN-0303Two-step equationsMA-ALG-LIN-03, Sample lesson in the demo
   • MA-ALG-LIN-0404Unknowns on both sidesMA-ALG-LIN-04, Planned
   • MA-ALG-LIN-0505Brackets and fractionsMA-ALG-LIN-05, Planned
   • MA-ALG-LIN-0606Word problemsMA-ALG-LIN-06, Planned
   • MA-ALG-LIN-0707Linear inequalitiesMA-ALG-LIN-07, Planned

3. Formulae

   MA-ALG-FRM · JSS 1 to SSS 2 · 2 of about 4 modules specified

   Substituting into formulae and changing the subject, as scientists and engineers do.

   • MA-ALG-FRM-0101Substituting into formulaeMA-ALG-FRM-01, Planned
   • MA-ALG-FRM-0202Changing the subject of a formulaMA-ALG-FRM-02, Planned
   • 2 more planned

4. Inequalities

   MA-ALG-INQ · JSS 3 (BECE) to SSS 2 · about 3 modules planned

   Inequalities on graphs, regions and quadratic inequalities.

   • About 3 planned

5. Sequences

   MA-ALG-SEQ · Primary 6 to SSS 2 · about 5 modules planned

   Number patterns, nth terms, and arithmetic and geometric sequences.

   • About 5 planned

6. Graphs

   MA-ALG-GRF · JSS 1 to SSS 2 · about 6 modules planned

   Coordinates, straight-line graphs, gradients and real-life graphs.

   • About 6 planned

7. Simultaneous equations

   MA-ALG-SIM · JSS 3 (BECE) to SSS 3 (WASSCE) · about 4 modules planned

   Two equations, two unknowns: elimination, substitution and graphs.

   • About 4 planned

8. Quadratics

   MA-ALG-QUA · SSS 1 to SSS 3 (WASSCE) · about 6 modules planned

   Factorising, completing the square, the formula and parabolas.

   • About 6 planned

9. Functions

   MA-ALG-FUN · SSS 1 to A level / JUPEB / foundation year · about 5 modules planned

   Function notation, inverses, composites and transformations of graphs.

   • About 5 planned

10. Indices and logarithms

    MA-ALG-IDX · JSS 3 (BECE) to A level / JUPEB / foundation year · about 5 modules planned

    Laws of indices, logarithms and exponential growth.

    • About 5 planned

11. Polynomials

    MA-ALG-POL · SSS 2 to A level / JUPEB / foundation year · about 4 modules planned

    Dividing polynomials, the factor and remainder theorems.

    • About 4 planned

12. Linear algebra

    MA-ALG-LAL · A level / JUPEB / foundation year to 300 Level · about 8 modules planned

    Vectors, matrices, linear maps and eigenvalues, the maths behind graphics and machine learning.

    • About 8 planned

13. Abstract algebra

    MA-ALG-ABS · 200 Level to Master's topics · about 6 modules planned

    Groups, rings and fields: the structure underneath arithmetic.

    • About 6 planned

Sheet MA-GEOLevels 1 to 18

1. Shapes

   MA-GEO-SHP · Primary 1 to Primary 6 · about 5 modules planned

   Naming and sorting 2D and 3D shapes by their properties.

   • About 5 planned

2. Perimeter and area

   MA-GEO-PER · Primary 3 to JSS 2 · about 5 modules planned

   Measuring round and inside shapes, from a farm plot to a classroom floor.

   • About 5 planned

3. Angles

   MA-GEO-ANG · Primary 4 to JSS 3 (BECE) · about 5 modules planned

   Measuring angles, angle facts, parallel lines and polygons.

   • About 5 planned

4. Circle theorems

   MA-GEO-CIR · SSS 1 to SSS 3 (WASSCE) · about 4 modules planned

   Angles in circles, tangents and chords.

   • About 4 planned

5. Constructions

   MA-GEO-CON · JSS 1 to SSS 1 · about 3 modules planned

   Ruler-and-compass constructions and loci.

   • About 3 planned

6. Transformations

   MA-GEO-TRN · Primary 5 to SSS 1 · about 4 modules planned

   Reflection, rotation, translation and enlargement.

   • About 4 planned

7. Pythagoras' theorem

   MA-GEO-PYT · JSS 2 to SSS 1 · 1 of about 3 modules specified

   The longest side of a right-angled triangle, and why it works.

   • MA-GEO-PYT-0101Pythagoras' theoremMA-GEO-PYT-01, Planned
   • 2 more planned

8. 3D shapes, surface area and volume

   MA-GEO-TDS · Primary 6 to SSS 2 · about 5 modules planned

   Nets, surface area and volume of prisms, cylinders, cones and spheres.

   • About 5 planned

9. Vectors

   MA-GEO-VEC · SSS 1 to A level / JUPEB / foundation year · 1 of about 4 modules specified

   Quantities with size and direction, used for forces and movement.

   • MA-GEO-VEC-0101Vectors: size and directionMA-GEO-VEC-01, Planned
   • 3 more planned

10. Bearings

    MA-GEO-BRG · JSS 3 (BECE) to SSS 2 · about 3 modules planned

    Three-figure bearings, navigation and scale drawings.

    • About 3 planned

11. Differential geometry

    MA-GEO-DGE · 300 Level to Master's topics · about 5 modules planned

    Curves and surfaces studied with calculus.

    • About 5 planned

12. Topology (introduction)

    MA-GEO-TOP · 300 Level to Master's topics · about 4 modules planned

    Shapes that stretch: continuity, connectedness and holes.

    • About 4 planned

Sheet MA-TRGLevels 9 to 13

1. Right-angled trigonometry

   MA-TRG-RAT · JSS 3 (BECE) to SSS 2 · 3 of about 4 modules specified

   Sine, cosine and tangent: finding sides and angles in right-angled triangles.

   • MA-TRG-RAT-0101Sine, cosine and tangentMA-TRG-RAT-01, Planned
   • MA-TRG-RAT-0202Finding anglesMA-TRG-RAT-02, Planned
   • MA-TRG-RAT-0303Angles of elevation and depressionMA-TRG-RAT-03, Planned
   • 1 more planned

2. Exact values

   MA-TRG-EXA · SSS 1 to SSS 2 · about 2 modules planned

   Exact trigonometric values from special triangles.

   • About 2 planned

3. Sine and cosine rules

   MA-TRG-SCR · SSS 1 to SSS 3 (WASSCE) · about 4 modules planned

   Solving any triangle, and the area formula ½ab sin C.

   • About 4 planned

4. Trigonometric graphs

   MA-TRG-GRF · SSS 2 to SSS 3 (WASSCE) · about 3 modules planned

   The graphs of sine, cosine and tangent, and their transformations.

   • About 3 planned

5. Radians

   MA-TRG-RAD · SSS 3 (WASSCE) to A level / JUPEB / foundation year · about 2 modules planned

   Measuring angles in radians, arc length and sector area.

   • About 2 planned

6. Identities and equations

   MA-TRG-IDN · SSS 3 (WASSCE) to A level / JUPEB / foundation year · about 4 modules planned

   Trigonometric identities and solving trigonometric equations.

   • About 4 planned

Sheet MA-STALevels 1 to 18

1. Data

   MA-STA-DAT · Primary 1 to JSS 1 · about 6 modules planned

   Collecting, sorting and showing data in tables, pictograms, bar charts and pie charts.

   • About 6 planned

2. Averages and spread

   MA-STA-AVG · Primary 5 to JSS 3 (BECE) · about 4 modules planned

   Mean, median, mode and range, and choosing the right one.

   • About 4 planned

3. Correlation

   MA-STA-COR · JSS 3 (BECE) to SSS 2 · about 3 modules planned

   Scatter graphs, correlation and lines of best fit.

   • About 3 planned

4. Sampling

   MA-STA-SMP · JSS 3 (BECE) to SSS 3 (WASSCE) · about 3 modules planned

   Populations, samples and bias.

   • About 3 planned

5. Probability

   MA-STA-PRB · Primary 6 to SSS 1 · about 5 modules planned

   Chance on a scale from 0 to 1, outcomes and experiments.

   • About 5 planned

6. Tree diagrams

   MA-STA-TRE · JSS 3 (BECE) to SSS 2 · about 3 modules planned

   Combined events, tree diagrams and conditional probability.

   • About 3 planned

7. Mathematical statistics

   MA-STA-MST · 100 Level to 400–500 Level · about 8 modules planned

   Distributions, estimation and hypothesis testing.

   • About 8 planned

8. Stochastic processes

   MA-STA-STO · 300 Level to Master's topics · about 5 modules planned

   Random processes over time: Markov chains and queues.

   • About 5 planned

Sheet MA-SETLevels 7 to 16

1. Sets and Venn diagrams

   MA-SET-SET · JSS 1 to SSS 2 · about 4 modules planned

   Set notation, Venn diagrams and problems with two or three sets.

   • About 4 planned

2. Number bases

   MA-SET-BAS · JSS 1 to SSS 2 · about 4 modules planned

   Binary and other bases: converting and calculating.

   • About 4 planned

3. Logic

   MA-SET-LOG · JSS 3 (BECE) to SSS 3 (WASSCE) · about 4 modules planned

   Statements, truth tables and valid arguments.

   • About 4 planned

4. Matrices

   MA-SET-MAT · SSS 1 to A level / JUPEB / foundation year · about 4 modules planned

   Matrix arithmetic, determinants and inverses.

   • About 4 planned

5. Discrete mathematics

   MA-SET-DSC · A level / JUPEB / foundation year to 200 Level · about 6 modules planned

   Proof, relations and recursion for computing.

   • About 6 planned

6. Graph theory

   MA-SET-GRT · 100 Level to 300 Level · about 5 modules planned

   Networks of nodes and edges: paths, trees and colouring.

   • About 5 planned

7. Combinatorics

   MA-SET-CMB · A level / JUPEB / foundation year to 300 Level · about 5 modules planned

   Counting arrangements and selections cleverly.

   • About 5 planned

Sheet MA-CALLevels 11 to 17

1. Limits

   MA-CAL-LIM · SSS 3 (WASSCE) to A level / JUPEB / foundation year · about 3 modules planned

   What happens as numbers get closer and closer.

   • About 3 planned

2. Differentiation

   MA-CAL-DIF · SSS 2 to A level / JUPEB / foundation year · about 6 modules planned

   Gradients of curves, rates of change and optimisation.

   • About 6 planned

3. Integration

   MA-CAL-INT · SSS 3 (WASSCE) to A level / JUPEB / foundation year · about 6 modules planned

   Areas under curves and reversing differentiation.

   • About 6 planned

4. Multivariable calculus

   MA-CAL-MVC · 100 Level to 200 Level · about 6 modules planned

   Partial derivatives and multiple integrals.

   • About 6 planned

5. Differential equations

   MA-CAL-DEQ · 100 Level to 300 Level · about 6 modules planned

   Equations of change: growth, cooling, circuits and motion.

   • About 6 planned

6. Real analysis

   MA-CAL-RAN · 200 Level to 400–500 Level · about 6 modules planned

   Proving why calculus works.

   • About 6 planned

7. Complex analysis

   MA-CAL-CAN · 300 Level to 400–500 Level · about 5 modules planned

   Calculus with complex numbers.

   • About 5 planned

Sheet MA-APPLevels 8 to 17

1. Financial maths

   MA-APP-FIN · JSS 2 to SSS 3 (WASSCE) · about 5 modules planned

   Interest, loans, savings and depreciation, worked through honestly.

   • About 5 planned

2. Numerical methods

   MA-APP-NUM · 100 Level to 300 Level · about 6 modules planned

   Approximating answers a computer can find: iteration, interpolation and error.

   • About 6 planned

3. Optimisation

   MA-APP-OPT · 200 Level to 400–500 Level · about 5 modules planned

   Finding the best: linear programming and beyond.

   • About 5 planned

4. Mathematical modelling

   MA-APP-MOD · 100 Level to 400–500 Level · about 5 modules planned

   Building and testing models of real systems, from crops to epidemics.

   • About 5 planned