Cambridge IGCSE Mathematics

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IGCSE 數學主題：米白方格紙上以石墨筆畫著厚重的角平分線作圖，紙上放著鋼質圓規（黃銅鉸鏈）、黃銅分規、沒有刻度的拉絲鋁直尺、木色三角板、珊瑚琥珀色量角器與兩支琥珀色鉛筆。

Prepare for Cambridge IGCSE Mathematics 0580 with stronger calculation and modelling.

  • Find the number, algebra, geometry or data foundation behind repeated mistakes
  • Develop exact manual work and deliberate calculator use as complementary skills
  • Translate unfamiliar contexts into diagrams, equations, ratios, graphs or probability models
  • Use classified errors and focused reattempts before returning to complete papers
課程重點收起課程重點

課程重點

Find the foundation causing repeated mistakes Separate weaknesses in number, algebra, geometry and data handling from superficial arithmetic slips.
Trace the dependency
Identify the earliest insecure skill in a multi-step solution.
Repair representations
Connect words, diagrams, equations, graphs and tables.
Retest in context
Apply the repaired skill inside a mixed problem rather than an isolated drill.
 Build exact and calculator fluency together Students need reliable manual methods and informed calculator use, not dependence on either one.
Control exact work
Use fractions, surds, algebra and estimation without premature decimals.
Use the calculator deliberately
Select settings and functions only after establishing the mathematical method.
Cross-check
Verify with inverse operations, estimation, substitution or an alternative representation.
 Translate unfamiliar contexts into mathematics Identify quantities, constraints and relationships before choosing an operation or formula.
Extract the structure
Mark knowns, unknowns, units and constraints.
Select a model
Choose equations, ratios, graphs, geometry or probability structures from the relationship.
Interpret the answer
Return to the context and reject impossible or incomplete results.
 Turn mixed-paper errors into targeted revision Use recurring error patterns to choose the next practice rather than repeating complete papers immediately.
Classify errors
Separate concept, method, arithmetic, notation, calculator and timing issues.
Reattempt strategically
Redo the decisive step and a parallel problem before a full paper.
Build route awareness
Practise the same skill in both calculator and non-calculator forms where relevant.
課程內容收起課程內容

課程內容

Number
Representation, operations, percentages, ratio, standard form, estimation and bounds.
  • Types of number and calculation
  • Fractions, decimals and percentages
  • Ratio, proportion and rates
  • Standard form, estimation and bounds
Algebra and graphs
Expressions, equations, inequalities, functions, sequences and graphs.
  • Expressions and manipulation
  • Equations and inequalities
  • Sequences and functions
  • Straight-line and curved graphs
Geometry and mensuration
Angles, shape properties, congruence, similarity, perimeter, area, volume and coordinate geometry.
  • Angle and shape properties
  • Congruence and similarity
  • Coordinate geometry
  • Perimeter, area, surface area and volume
Trigonometry, transformations and vectors
Trigonometric ratios, bearings, transformations, symmetry and vectors.
  • Pythagoras and trigonometric ratios
  • Bearings and three-dimensional problems
  • Transformations and symmetry
  • Vectors
Probability and statistics
Probability, statistical diagrams, averages, distributions and data comparison.
  • Probability models
  • Data collection and representation
  • Averages and spread
  • Cumulative frequency and statistical comparison
Core route
Paper 1 Non-calculator + Paper 3 Calculator.
  • Core syllabus content
  • Paper 1: non-calculator questions
  • Paper 3: calculator questions
Paper 1 Non-calculator and Paper 3 Calculator; each paper is 1 hour 30 minutes, 80 marks and 50%.
Extended route
Paper 2 Non-calculator + Paper 4 Calculator.
  • Core and Supplement syllabus content
  • Paper 2: non-calculator questions
  • Paper 4: calculator questions
Paper 2 Non-calculator and Paper 4 Calculator; each paper is 2 hours, 100 marks and 50%.

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