WASSCE Core Mathematics Complete Course
A structured pathway from foundation skills to full examination practice, with AI-generated interactive teaching slides, animated graphs and diagrams, downloadable lesson-note PDFs, continuous voice teaching, mastery tracking, topic quizzes, tests, Paper 1 and Paper 2 mock examinations.
Course Progress
0 of 25 lessons completed.
Module 1: Number & Arithmetic Foundations
Number systems, fractions, percentages, ratio, indices, standard form and sets.
Number Systems and Place Value
Review natural numbers, integers, rational and irrational numbers, place value, ordering, approximation, significant figures and decimal places. Include number-line reasoning and WASSCE-style…
Fractions, Decimals and Percentages
Operations with fractions and mixed numbers, conversion among fractions decimals and percentages, percentage increase and decrease, profit loss discount and percentage error,…
Ratio, Rate, Proportion and Variation
Simplify and divide in ratios, unit rates, direct and inverse proportion, scale drawings, rates of work and variation equations. Emphasize setting up…
Indices, Roots and Standard Form
Laws of indices including zero negative and fractional indices, surds at introductory level, scientific notation/standard form and calculations involving products quotients and…
Sets and Venn Diagrams
Set notation, subsets, universal and empty sets, union intersection complement, two-set and three-set Venn diagrams, cardinality and real-life survey problems.
Module 2: Algebra & Functions
Expressions, equations, quadratics, sequences, mappings and functions.
Algebraic Expressions and Factorisation
Collect like terms, expand brackets, identities, factor common factors, factor quadratic expressions, algebraic fractions and substitution. Show every algebraic step.
Linear Equations and Inequalities
Solve linear equations including brackets and fractions, simultaneous linear equations, word problems, inequalities and representation on number lines.
Quadratic Equations
Solve quadratics by factorisation, completing the square and formula where appropriate; connect roots to graphs and verify solutions by substitution.
Sequences and Number Patterns
Recognise arithmetic and simple geometric patterns, find nth terms, missing terms, mappings and use patterns to model contextual problems.
Relations, Functions and Mapping
Domain range, mapping diagrams, function notation, evaluating functions, inverse ideas at remedial level, tables of values and interpretation of relations.
Module 3: Graphs & Coordinate Geometry
Straight lines, quadratic graphs, coordinates and graphical problem solving.
Straight-Line Graphs
Coordinates, gradient from points and graphs, y-intercept, equation y=mx+c, parallel and perpendicular lines, midpoint, distance and intersection of lines.
Quadratic and Other Graphs
Generate tables and draw quadratic graphs accurately, locate intercepts and turning points approximately, solve equations graphically and compare with straight lines.
Module 4: Geometry, Mensuration & Trigonometry
Geometry, construction, measurement, trigonometry, bearings and scale drawing.
Plane Geometry and Angle Properties
Angles on lines, triangles, quadrilaterals and polygons; congruence and similarity; circle angle facts; logical geometric reasoning and proof-style explanations.
Construction and Loci
Use ruler and compasses for bisectors, triangles, perpendiculars and standard constructions; interpret loci and construct regions satisfying multiple conditions.
Mensuration: Perimeter, Area and Volume
Perimeter and area of plane shapes, circles and sectors, surface area and volume of prisms cylinders cones pyramids and spheres, including compound…
Trigonometry
Pythagoras theorem, sine cosine tangent in right triangles, angles of elevation and depression, bearings and contextual distance/height problems.
Bearings and Scale Drawing
Three-figure bearings, scale interpretation, distance and direction, scale maps and integration with trigonometry.
Module 5: Transformations, Vectors & Matrices
Transformations, vectors and matrices for WASSCE applications.
Transformation Geometry
Translation reflection rotation enlargement and combined transformations on Cartesian grids; describe transformations fully and determine image/object coordinates.
Vectors
Column vectors, magnitude at introductory level, vector addition subtraction scalar multiplication, position vectors and geometric applications.
Matrices
Matrix notation, order, equality, addition subtraction scalar multiplication, matrix multiplication where required and simple transformation/application problems.
Module 6: Statistics & Probability
Data presentation, averages, dispersion and probability.
Statistics: Data Presentation
Frequency tables, bar charts, pie charts, histograms, frequency polygons, cumulative frequency curves and stem-and-leaf displays. Focus on choosing and interpreting representations.
Statistics: Averages and Dispersion
Mean median mode, weighted mean, quartiles, range and interquartile range for raw and grouped data, including interpretation and comparison of datasets.
Probability
Experimental and theoretical probability, complements, mutually exclusive events, combined events, sample spaces, tree diagrams and simple conditional reasoning.
Module 7: Financial Mathematics & Exam Mastery
Financial Mathematics and integrated WASSCE examination strategy.
Financial Mathematics
Simple and compound interest, depreciation, hire purchase, commission, wages, taxes, exchange rates and practical budgeting calculations.
WASSCE Problem-Solving and Exam Strategy
Translate words into mathematics, identify givens and unknowns, choose methods, show working, check reasonableness, manage time and avoid common examination errors.
