Grade 10 Mathematics

✦ Real Numbers: Rational, Irrational & Surds Understand the real-number system, distinguish rational from irrational numbers, and place simple surds between integers. Start lesson → ✦ Surds, Estimation & Rounding Estimate simple surds and round real numbers to an appropriate degree of accuracy. Start lesson → ✦ Multiply Binomials & Trinomials Expand products accurately, including a binomial multiplied by a trinomial. Start lesson → ✦ Factorising Trinomials Reverse expansion to write a quadratic trinomial as a product of factors. Start lesson → ✦ Sum & Difference of Two Cubes Recognise and factorise a³+b³ and a³−b³ patterns. Start lesson → ✦ Simplifying Algebraic Fractions Factorise before cancelling common factors in algebraic fractions. Start lesson →

✦ Exponent Laws & Zero Exponent Use Grade 9 exponent laws fluently and understand why x⁰=1 for x≠0. Start lesson → ✦ Rational Exponents & Exponential Equations Extend exponent laws to rational exponents and solve simple exponential equations. Start lesson →

🔢 Number Patterns with Constant Difference Investigate patterns with constant first difference and describe the general term informally. Start lesson →

✦ Linear Equations & Rearranging Solve linear equations and rearrange formulas while preserving equality. Start lesson → ✦ Quadratic Equations by Factorisation Solve quadratic equations by factorising and using the zero-product property. Start lesson → ✦ Linear Inequalities Solve and represent linear inequalities graphically and in interval notation, including reversing the sign when multiplying or dividing by a negative. Start lesson → ✦ Simultaneous Linear Equations Solve two linear equations in two unknowns using substitution or elimination, then check the ordered pair in both equations. Start lesson → ✦ Literal Equations: Change the Subject Rearrange a formula to make a chosen variable the subject while preserving equality. Start lesson →

📐 Right-Triangle Trigonometric Ratios Define and use sin θ, cos θ and tan θ in right-angled triangles. Start lesson → 📐 Trig Ratios from 0° to 360° Extend trig-ratio meaning from 0° to 360°, use quadrant signs and solve simple trigonometric equations in a stated interval. Start lesson → 📐 Two-Dimensional Trigonometry Problems Model and solve practical two-dimensional problems with right-triangle trigonometry. Start lesson → 📐 Special Angles & Reciprocal Trig Ratios Use exact trig values for 0°, 30°, 45°, 60° and 90°, and understand cosec θ, sec θ and cot θ as reciprocal ratios. Start lesson →

📈 Functions: Input, Output, Tables, Graphs & Rules Understand functions through words, tables, graphs and formulae and move between representations. Start lesson → 📈 Quadratic, Hyperbola & Exponential Graphs Recognise, sketch and interpret the prescribed Grade 10 graph families. Start lesson → 📈 Effects of a and q on Graphs Investigate how a changes stretch/reflection and q changes vertical position. Start lesson →

📐 Similarity, Congruence & Triangle Midpoints Revise triangle similarity/congruence and investigate the segment joining midpoints of two sides. Start lesson → 📐 Quadrilateral Properties & Proof Investigate and prove properties of kites, parallelograms, rectangles, rhombi, squares and trapezia. Start lesson → 📐 Euclidean Geometry Riders Solve riders using parallel-line, triangle and quadrilateral properties with reasons. Start lesson →

📍 Distance, Gradient & Midpoint Derive and apply distance, gradient and midpoint formulae for two points. Start lesson →

💰 Simple & Compound Growth Use simple and compound growth in interest, inflation and population contexts. Start lesson → 💰 Exchange Rates & Financial Context Interpret fluctuating exchange rates and their effect on imports, exports and travel. Start lesson →

📊 Grouped Data & Estimated Mean Use grouped data, modal/median intervals and an estimated mean. Start lesson → 📊 Quartiles, Percentiles & Box Plots Use five-number summaries, quartiles, IQR and box-and-whisker diagrams. Start lesson →

📏 Surface Area, Volume & Scaling Work with prisms, cylinders, spheres, pyramids, cones and the effect of a scale factor k. Start lesson →

🎲 Relative Frequency & Theoretical Probability Compare experimental relative frequency with theoretical probability. Start lesson → 🎲 Venn Diagrams & Probability Rules Use Venn diagrams, union, intersection, mutually exclusive and complementary events. Start lesson →