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MathematicsGrade 11Quality review 0/4

Mathematics — Grade 11

A Grade 11 Mathematics exam-preparation pathway: CAPS core content with IEB-compatible reasoning, proof, graph interpretation and multi-step applications. Each lesson supplies a concise explanation, a visual model, worked reasoning, a misconception check and four graded practice questions with hints and fully explained answers.

≈ 18 h 40 min6 sections · 32 lessonsNo ratings yet
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What you'll learn

  • Simplify expressions involving rational exponents and surds, and solve quadratic equations using completing the square, the formula and the discriminant
  • Analyse quadratic patterns and inequalities and transform or invert familiar functions with correct domain restrictions
  • Prove and apply trigonometric identities, reduction formulae, general solutions and the sine, cosine and area rules
  • Use circle theorems and analytical geometry to justify geometric conclusions
  • Model depreciation and financial timelines, analyse cumulative data and variance, and distinguish dependent from independent events

Before you start

  • Grade 10 algebra, exponent laws, factorisation and equations
  • Grade 10 function families and coordinate geometry
  • Grade 10 trigonometric ratios and Euclidean geometry
  • Grade 10 statistics and probability including Venn diagrams

Course content

0/32 lessons
1. Exponents and Surds4 lessons
  1. Rational ExponentsLesson35 min
  2. Simplifying and Combining SurdsLesson35 min
  3. Rationalising DenominatorsLesson35 min
  4. Equations with Surds and ExponentsLesson35 min
2. Quadratic Equations, Patterns and Inequalities7 lessons
  1. Completing the SquareLesson35 min
  2. The Quadratic FormulaLesson35 min
  3. The Discriminant and Nature of RootsLesson35 min
  4. Equations of Quadratic TypeLesson35 min
  5. Quadratic Number PatternsLesson35 min
  6. Finding the Rule of a Quadratic PatternLesson35 min
  7. Quadratic InequalitiesLesson35 min
3. Functions and Inverses4 lessons
  1. Translations, Reflections and StretchesLesson35 min
  2. Analysing Transformed Quadratic FunctionsLesson35 min
  3. Hyperbola and Exponential TransformationsLesson35 min
  4. Inverse Relations and Domain RestrictionsLesson35 min
4. Trigonometry5 lessons
  1. Fundamental Trigonometric IdentitiesLesson35 min
  2. Reduction Formulae and SignsLesson35 min
  3. General Solutions of Trigonometric EquationsLesson35 min
  4. Sine, Cosine and Area RulesLesson35 min
  5. Trigonometric Applications and BearingsLesson35 min
5. Euclidean and Analytical Geometry6 lessons
  1. Circle Language, Chords and Perpendicular BisectorsLesson35 min
  2. Angles at the Centre and CircumferenceLesson35 min
  3. Cyclic QuadrilateralsLesson35 min
  4. Tangents and the Tangent–Chord TheoremLesson35 min
  5. Gradient and Angle of InclinationLesson35 min
  6. Line Equations, Parallelism and PerpendicularityLesson35 min
6. Finance, Statistics and Probability6 lessons
  1. Reducing-Balance DepreciationLesson35 min
  2. Financial Timelines and Changing RatesLesson35 min
  3. Ogives, Quartiles and PercentilesLesson35 min
  4. Variance and Standard DeviationLesson35 min
  5. Dependent and Independent EventsLesson35 min
  6. Conditional Probability and Tree DiagramsLesson35 min