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MathematicsGrade 10Quality review 0/4

Mathematics — Grade 10: Functions, Geometry and Applications

A full CAPS-NSC Grade 10 Mathematics course complementing Caelum's equations intensive. Theory and Visual modes cover algebra and exponents, equations, patterns, all four function families, trigonometry, Euclidean and analytical geometry, finance, statistics and Venn-diagram probability, with IEB enrichment and Cambridge IGCSE alignment.

≈ 13 h 20 min6 sections · 32 lessonsNo ratings yet
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What you'll learn

  • Manipulate Grade 10 algebra and solve linear, simultaneous and quadratic equations and inequalities
  • Generate number-pattern rules and analyse linear, quadratic, hyperbolic and exponential functions
  • Apply trigonometric ratios and Euclidean or analytical geometry to two-dimensional problems
  • Model compound growth and interpret central tendency, spread and Venn-diagram probability

Before you start

  • Grade 9 exponent laws, factorisation and linear equations
  • Grade 9 straight-line graphs, gradient and coordinate geometry
  • Grade 9 triangle geometry, data handling and elementary probability

Course content

0/32 lessons
1. Algebra, Exponents and Equations7 lessons
  1. Algebraic Fractions and RestrictionsLesson25 min
  2. Exponent Laws ConsolidationLesson25 min
  3. Real Number Types and IrrationalityLesson25 min
  4. Linear and Literal EquationsLesson25 min
  5. Simultaneous Linear EquationsLesson25 min
  6. Quadratics by FactorisationLesson25 min
  7. Quadratic Formula CapstoneLesson25 min
2. Inequalities and Number Patterns3 lessons
  1. Linear Inequalities and Interval NotationLesson25 min
  2. Linear Number PatternsLesson25 min
  3. Solving Pattern QuestionsLesson25 min
3. Functions and Graphs5 lessons
  1. Function Language, Domain and RangeLesson25 min
  2. Linear FunctionsLesson25 min
  3. Quadratic FunctionsLesson25 min
  4. Hyperbolic FunctionsLesson25 min
  5. Exponential FunctionsLesson25 min
4. Trigonometry4 lessons
  1. Trigonometric Ratios in Right TrianglesLesson25 min
  2. Special Angles and Exact ValuesLesson25 min
  3. Solving Right TrianglesLesson25 min
  4. Angles of Elevation and DepressionLesson25 min
5. Euclidean and Analytical Geometry6 lessons
  1. Triangle and Parallel-Line ProofsLesson25 min
  2. Quadrilateral Properties and ProofLesson25 min
  3. Triangle Congruence and ReasoningLesson25 min
  4. Distance and Midpoint FormulaeLesson25 min
  5. Gradient, Parallel and Perpendicular LinesLesson25 min
  6. Proving Quadrilaterals with CoordinatesLesson25 min
6. Finance, Statistics and Probability7 lessons
  1. Simple and Compound GrowthLesson25 min
  2. Inflation and DepreciationLesson25 min
  3. Mean, Median and ModeLesson25 min
  4. Quartiles and Box PlotsLesson25 min
  5. Grouped Data and HistogramsLesson25 min
  6. Venn Diagrams and Set CountsLesson25 min
  7. Addition and Complement RulesLesson25 min