IEB Mathematics (NSC)

2-Year Programme for Self-Study/Independent Learning (5 hours/week)

IEB National Senior Certificate Mathematics Examination · 2 years (Year 1: Grade 10 bridging + Grade 11, Year 2: Grade 12)

What you'll learn - curriculum-aligned IEB Mathematics

IEB Mathematics (NSC). 2-Year Programme for Self-Study/Independent Learning (5 hours/week). IEB National Senior Certificate Mathematics Examination. 2 years (Year 1: Grade 10 bridging + Grade 11, Year 2: Grade 12). 5 hours per week. ~400 hours over 2 years

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Mathematics IEB course - lessons, practice, and exam confidence

Syllabus & topics - revision notes and practice tests

Topics & modules

Week 1: Real Numbers, Surds and FactorisationLesson 1.1 Real Numbers, Surds and Rounding; Lesson 1.2 Factorisation Toolkit Part 1: Trinomials and Grouping; Lesson 1.3 Formative Check 1: Surds and Factorisation
Week 2: Exponents, Equations and InequalitiesLesson 2.1 Factorisation Toolkit Part 2: Sum and Difference of Cubes; Lesson 2.2 Exponent Laws Revision; Lesson 2.3 Solving Linear and Quadratic Equations and Inequalities; Lesson 2.4 Formative Check 2: Exponents and Equations
Week 3: Grade 10 Trigonometry and FunctionsLesson 3.1 Trig Ratios and Special Angles; Lesson 3.2 Two-Dimensional Trigonometry Problems; Lesson 3.3 Basic Function Shapes: Parabola, Hyperbola and Exponential; Lesson 3.4 Trig Graphs: Sketching sin, cos and tan (0° to 360°)
Week 4: Euclidean Geometry FoundationsLesson 4.1 Euclidean Geometry: Triangles and Quadrilaterals; Lesson 4.2 Formative Check 3: Trigonometry and Geometry
Week 5: Analytical Geometry, Finance and StatisticsLesson 5.1 Analytical Geometry Basics; Lesson 5.2 Simple and Compound Growth; Lesson 5.3 Statistics: Measures and Grouped Data; Lesson 5.4 Formative Check 4: Consolidating Analytical Geometry, Finance and Statistics
Week 6: Measurement, Probability and Diagnostic TestLesson 6.1 Measurement: Prisms, Cylinders, Spheres, Pyramids and Cones; Lesson 6.2 Probability Foundations; Lesson 6.3 Diagnostic Test: Grade 10 Content Review; Lesson 6.4 Remediation Session: Targeting Your Weak Spots
Week 7: Exponents, Surds and EquationsLesson 7.1 Rational Exponents and Surd Simplification; Lesson 7.2 Exponential and Surd Equations; Lesson 7.3 Solving Quadratic Equations: Three Methods; Lesson 7.4 Introduction to Quadratic Inequalities
Week 8: Advanced Equations and Nature of RootsLesson 8.1 Nature of Roots; Lesson 8.2 Simultaneous Equations: Linear and Quadratic; Lesson 8.3 Equations with Algebraic Fractions; Lesson 8.4 Week Review: Mixed Algebra Test
Week 9: Number Patterns and Analytical GeometryLesson 9.1 Quadratic Number Patterns; Lesson 9.2 Applying Patterns to Real Contexts; Lesson 9.3 Introduction to Analytical Geometry: Lines; Lesson 9.4 Analytical Geometry Practice and Review
Week 10: Functions - TransformationsLesson 10.1 Parabola Transformations; Lesson 10.2 Hyperbola Transformations; Lesson 10.3 Exponential Function Transformations; Lesson 10.4 Average Gradient: A Bridge to Calculus
Week 11: Trigonometric GraphsLesson 11.1 The Effect of k on Trigonometric Graphs; Lesson 11.2 The Effect of p on Trigonometric Graphs: Horizontal Shift; Lesson 11.3 Combined Parameter Trigonometric Graphs; Lesson 11.4 Mid-Term Assessment: Standardised Test 1 Style
Week 12: Trigonometric Identities and Reduction FormulaeLesson 12.1 Circle Vocabulary and Tangent-Radius Axiom Bridge; Lesson 12.2 Introducing the Tan and Pythagorean Identities; Lesson 12.3 Reduction Formulae; Lesson 12.4 Identities: Restrictions and Undefined Values
Week 13: Euclidean Geometry - Circle Theorems (Part 1)Lesson 13.1 Chords and the Centre of a Circle; Lesson 13.2 Angle at the Centre Theorem; Lesson 13.3 Angles in a Semi-Circle and the Same Segment; Lesson 13.4 Review: Circle Theorems Part 1
Week 14: Euclidean Geometry - Circle Theorems (Part 2)Lesson 14.1 Cyclic Quadrilaterals: Introduction; Lesson 14.2 The Tangent-Chord Theorem; Lesson 14.3 Two Tangents from a Common Point; Lesson 14.4 Combined Circle Geometry Riders
Week 15: Trigonometry - Sine, Cosine and Area RulesLesson 15.1 Proof of the Sine Rule; Lesson 15.2 Proof of the Cosine Rule; Lesson 15.3 Proof of the Area Rule; Lesson 15.4 Two-Dimensional Applications: Combined Rules

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