Grade 11 Mathematics

✦ Rational Exponents Simplify and solve using exponent laws with rational exponents. Start lesson → ✦ Operations with Surds Add, subtract, multiply and divide simple surds exactly. Start lesson → ✦ Equations Involving Surds Solve simple equations involving surds and check for valid solutions. Start lesson →

✦ Completing the Square Rewrite a quadratic in completed-square form and use the structure to solve or interpret it. Start lesson → ✦ Quadratic Equations: Factorisation & Formula Choose factorisation or the quadratic formula to solve quadratic equations. Start lesson → ✦ Quadratic Inequalities Solve quadratic inequalities and interpret the solution graphically. Start lesson → ✦ Linear–Quadratic Simultaneous Equations Solve two equations in two unknowns when one is linear and one is quadratic. Start lesson → ✦ Nature of Quadratic Roots Use the discriminant to decide whether roots are real, equal, irrational or non-real. Start lesson →

🔢 Quadratic Number Patterns Investigate patterns with constant second differences and find a quadratic general term. Start lesson →

📍 Equation of a Straight Line Find the equation of a line from points or a point and gradient. Start lesson → 📍 Parallel & Perpendicular Lines Use gradient relationships to build equations of parallel and perpendicular lines. Start lesson → 📍 Inclination of a Line Connect gradient to the angle of inclination using m=tan θ. Start lesson →

📈 Transformations of Quadratic, Hyperbola & Exponential Functions Investigate parameters a, p and q and interpret graph features. Start lesson → 📈 Average Gradient on a Curve Calculate average gradient between two points and build intuition for gradient at a point. Start lesson → 📈 Trigonometric Function Transformations Sketch sin, cos and tan graphs with changes in amplitude, period and horizontal shift. Start lesson →

📐 Reduction Formulae Derive and use reduction formulae from reference angles and quadrants. Start lesson → 📐 Trigonometric Identities Use and verify fundamental identities without confusing identity with equation solving. Start lesson → 📐 Trigonometric Equations & General Solutions Solve trig equations in intervals and express general solutions. Start lesson → 📐 Sine Rule Prove and use the sine rule when opposite side-angle pairs are available. Start lesson → 📐 Cosine Rule Prove and use the cosine rule for SAS and SSS triangle information. Start lesson → 📐 Area Rule for Triangles Prove and use Area=½ab sin C for two sides and their included angle. Start lesson →

📏 Measurement & Scale Review Consolidate surface area, volume and scaling from Grade 10 before Grade 11 applications. Start lesson →

📐 Circle Geometry Theorems Understand and prove the prescribed Grade 11 circle theorems. Start lesson → 📐 Circle Geometry Riders & Proof Use circle theorems and converses to solve riders with justified reasons. Start lesson →

💰 Straight-Line & Reducing-Balance Depreciation Use simple and compound decay models for depreciation. Start lesson → 💰 Nominal & Effective Interest Rates Compare compounding periods and convert between nominal and effective rates. Start lesson →

🎲 Independent & Dependent Events Distinguish independence from mutual exclusivity and use product/addition rules. Start lesson → 🎲 Three-Event Venn & Tree Diagrams Use three-event Venn diagrams and tree diagrams for consecutive events. Start lesson →

📊 Histograms & Frequency Polygons Construct and interpret histograms and frequency polygons. Start lesson → 📊 Ogives & Cumulative Frequency Build and interpret cumulative frequency curves and estimate percentiles. Start lesson → 📊 Variance & Standard Deviation Calculate and interpret variance and standard deviation of ungrouped data. Start lesson → 📊 Skewness & Outliers Identify symmetric/skewed distributions and investigate outliers in context. Start lesson →