Mathematics - Grade 10
Explore 13 topics and 115 lessons designed to help you master Mathematics.
Your Journey Awaits
Follow the path below to progress through each topic. Each step builds on the last, taking you from beginner to expert.
Algebra
Rational and irrational numbers, surds, factorisation and algebraic fractions.
Analytical Geometry
Analytical geometry unit covering the distance formula, gradient, midpoint, parallel and perpendicular lines, and applications to triangles and quadrilaterals
Equations and Inequalities
Equations and inequalities unit covering linear equations, fractional equations, literal equations, simultaneous equations, quadratic equations by factorisation, word problems and linear inequalities
Euclidean Geometry Grade 10
Euclidean Geometry unit covering the revision of angles and parallel lines, triangles and Pythagoras, congruency and similarity, the midpoint theorem and its converse, the quadrilaterals and their properties, proving quadrilaterals are parallelograms, trapezia, riders with constructions, and further practice of geometry riders
Exponents
Exponents unit covering the revision of the six laws of exponents (multiplying and dividing like bases, the power of a power and of a product, negative and zero exponents), simplifying exponential expressions using mixed examples, fractional exponents, and solving exponential equations including equations with more than two terms and equations quadratic in form
Number Patterns
Number patterns unit covering the terminology of sequences and terms, explicit and recursive sequences, practice with generating terms, and number patterns with a linear general term of the form Tn = pn + q
Finance and Growth
Finance and growth unit covering simple interest and hire purchase agreements, compound interest and investments, compound growth in population and real-life problems, time lines and multi-step growth problems, inflation, and foreign exchange rates
Functions Grade 10
Functions unit covering the concept of a function, drawing straight lines using the table, dual intercept and gradient-intercept methods, sketching the parabola, hyperbola and exponential functions, point-by-point plotting of basic graphs, the effect of a and q on each graph, and revision with typical test and exam questions
Measurements Grade 10
Measurement unit covering the revision of the volume and surface areas of right-prisms and cylinders, the manipulation of formulae and the effect of multiplying dimensions by a constant factor k, the volume and surface areas of spheres, right-pyramids and right-cones, and the calculation of the volume and surface areas of composite figures
Statistics Grade 10
Statistics unit covering the collection of data, the mean value and frequency tables, the measures of central tendency (mean, median and mode), the measures of dispersion (range, quartiles and percentiles), the approximate mean and five number summary, box and whisker diagrams, percentiles, and exam-style questions with a summary and revision lesson
Probability Grade 10
Probability unit covering what probability is, sample spaces, relative frequency and complementary events, calculating probabilities and mutually exclusive events, the complement of an event, Venn diagrams with union and intersection, the standard deck of cards and the identity P(A or B) = P(A) + P(B) - P(A and B), events that are not mutually exclusive, and a summary of definitions with a class test
Trigonometry Grade 10
Trigonometry unit covering the basic trig ratios in right-angled triangles, trig calculations with a calculator, trig ratios on the Cartesian plane in all four quadrants, reciprocal ratios, special angles, simple trig equations, trigonometry in everyday life, two-dimensional problems, angles of elevation and depression, inverse trig functions, bearings, and typical exam and test questions
Trigonometric Functions Grade 10
Plotting the basic graphs y = sin x, y = cos x and y = tan x for x in [0 degrees ; 360 degrees], identifying their key features, the effect of a (amplitude and range) and q (vertical shift), writing down the defining equation of a given trig graph, and using graphs to find the values of x that satisfy equations and inequalities