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Grade 10 Maths Curriculum (CAPS) | Topics Covered & Lesson Focus - Insight Into Maths

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Our Grade 10 programme follows the South African CAPS curriculum and prepares learners for common exam formats. Each topic below explains the skills we teach, typical exam demands, and how tutoring builds confidence through worked examples, practice, and feedback.

  • Aligned to CAPS topic weighting and progression
  • Lesson focus: concepts first, then procedures, then exam application
  • Resources included: study guides, formula sheets, past papers
Master the language of algebra for confident manipulation and solving.

  • Expressions & factorisation: common factors, grouping, difference of squares, trinomials
  • Exponents & surds: laws of exponents, rationalising denominators, scientific notation
  • Equations & inequalities: linear/quadratic forms, intervals, and solution sets
  • Simultaneous equations: substitution and elimination
  • Word problems: translating statements into equations and checking solutions

Tutoring focus: step-by-step methods, error-spotting habits, and efficient layout for method marks.
Understand function behaviour and represent real situations with graphs.

  • Linear and quadratic functions: domain, range, intercepts, turning points
  • Hyperbola and exponential: asymptotes, growth/decay, transformations
  • Transformations: shifts, reflections, and stretches using function notation
  • Interpretation: reading graphs, average rate of change, and contexts

Tutoring focus: sketch-from-features approach, table methods, and quick checks.
See structure and predict terms with confidence.

  • Arithmetic sequences and series notation
  • Quadratic sequences: first and second differences
  • Recursive rules and term-to-term generation
  • Pattern generalisation and context problems

Tutoring focus: building from examples to general rules; careful notation to secure method marks.
Move from ratios to solving triangles and real problems.

  • Trig ratios in right-angled triangles; special angles
  • Reduction formulas and identities (intro)
  • Solving triangles and angles of elevation/depression
  • Applications with diagrams and rounding conventions

Tutoring focus: diagram-first approach, calculator fluency, and common pitfalls to avoid.
Reason with definitions, theorems, and clear statements.

  • Lines, angles, and triangles; congruency
  • Properties of quadrilaterals
  • Intro to circles: chords, tangents, and angles (Grade 10 scope)
  • Proof writing: statements, reasons, and logical flow

Tutoring focus: structured proofs with reasons; marking language and layout.
Connect coordinates with geometry on the Cartesian plane.

  • Distance, midpoint, and gradient
  • Equation of a line; intercepts and gradient-intercept form
  • Parallel and perpendicular conditions
  • Solving geometric problems using coordinates

Tutoring focus: draw-first habits, formula selection, and tidy substitution.
Use maths to make sense of money and measure the world accurately.

  • Simple and compound interest; inflation and hire purchase basics
  • Budgeting contexts and interpreting statements
  • Surface area and volume of prisms and cylinders
  • Unit conversions and rounding to specified accuracy

Tutoring focus: formula fluency, units and context, checking reasonableness of answers.
Describe, analyse, and make decisions with data.

  • Basic probability rules and simple experiments
  • Data handling: organising data, bar/line/pie representations
  • Measures of central tendency and dispersion
  • Box-and-whisker plots and interpretation

Tutoring focus: linking visuals to calculations and clear conclusions.
Translate your knowledge into marks under pressure.

  • How to show working for full method marks
  • Calculator efficiency and accuracy checks
  • Time management and question selection
  • Error analysis and spaced revision

Tutoring focus: proven routines for practice, review, and reflection.
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Planning your paper, allocating time, and avoiding traps.
Choose a session format that suits you, then grab resources to start strong. We’ll tailor lessons to current school topics and upcoming tests.
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