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Mathematics Form 3 — JC Exam Year & Bridge to IGCSE

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About Course

Maths should make sense. This course teaches every Form 3 topic the way a great teacher would: the why first, then clear worked examples with one step per line, then plenty of practice with tap-to-reveal answers.

It covers two syllabuses at once: the Botswana Junior Certificate (JCE) Mathematics syllabus for Form 3 and the Cambridge Lower Secondary Mathematics framework (Stage 9), which leads straight into IGCSE.

Every unit has:

  • a colourful lesson with diagrams, key words and “Watch out!” common mistakes
  • 12–15 practice questions at three levels (warm-up, core, stretch) with full step-by-step answers
  • Maths Live: Explore it live (move sliders and see the maths change), Why the rule works, a Practice machine with unlimited fresh questions, Spot the mistake and Remember it flashcards
  • how the topic appears in the JCE and later in IGCSE

Each term ends with a test, the year has a hands-on project and an end-of-year exam with a full mark scheme.

Form 3 ends with a full JCE-style mock exam (Paper 1: 40 multiple-choice questions, no calculator; Paper 2: 100 marks, Sections A, B and C) and a “Next step: IGCSE” unit that prepares students for the Core or Extended pathway of our IGCSE Mathematics 0580 course.

Units in this course:

  1. The number system: rational and irrational numbers
  2. Laws of indices: zero, negative and fractional
  3. Standard form
  4. Accuracy, estimation and bounds
  5. Percentages in finance
  6. Consumer arithmetic: tax, duty, insurance and bills
  7. Expanding two brackets and factorising quadratics
  8. Solving quadratic equations
  9. Algebraic fractions
  10. Linear equations and inequalities in two variables
  11. Simultaneous linear equations
  12. Rearranging formulae
  13. Sequences: quadratic and other nth terms
  14. Graphs of functions
  15. Direct and inverse proportion
  16. Matrices II
  17. Pythagoras’ theorem
  18. Similarity and congruence
  19. Volume and surface area: cylinders, pyramids, cones and spheres
  20. Trigonometry I: sine, cosine and tangent
  21. Trigonometry II: angles, elevation and bearings
  22. Arcs and sectors
  23. Loci and constructions
  24. Combined transformations and vectors
  25. Statistics: grouped data, histograms and cumulative frequency
  26. Probability, sets and Venn diagrams
  27. Problem solving and JC exam technique
  28. Next step: IGCSE and calculator skills
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What Will You Learn?

  • Understand every Form 3 maths topic, not just memorise it
  • See the maths move with live interactive explorers
  • Practise with unlimited fresh questions and step-by-step answers
  • Prepare for the Junior Certificate and the road to IGCSE
  • Test yourself with term tests and an end-of-year exam

Course Content

Term 1 · Indices, standard form, finance and quadratics

  • Unit 2 · Laws of indices: zero, negative and fractional
  • Unit 3 · Standard form
  • Unit 4 · Accuracy, estimation and bounds
  • Unit 5 · Percentages in finance
  • Unit 6 · Consumer arithmetic: tax, duty, insurance and bills
  • Unit 7 · Expanding two brackets and factorising quadratics
  • Unit 8 · Solving quadratic equations
  • Unit 9 · Algebraic fractions
  • Unit 10 · Linear equations and inequalities in two variables
  • Term 1 test

Term 2 · Simultaneous equations, graphs, matrices, Pythagoras and similarity

Term 3 · Trigonometry, loci, statistics, probability and exam preparation

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