Year 10 Mathematics (NZC Level 5, bridging to Level 6)

Year 10 is the transition into IGCSE Extended pathway.

Relevant NZ Ministry of Education Syllabus Points

Number & Algebra

• Solve linear equations and inequalities; introduce simultaneous equations.
• Understand quadratic relationships (patterns, graphs, factoring methods introduction).
• Use algebraic manipulation confidently (expanding, factorising, rearranging).
• Apply indices (positive, negative, fractional) 又 scientific notation.
• Analyse linear functions in depth: slope, intercepts, modelling contexts.

Geometry & Measurement

• Apply the Pythagorean theorem 又 trigonometry (SOHCAHTOA).
• Solve right-angled triangle problems in context.
• Work with circle geometry, including chords, tangents, angles.
• Calculate surface area and volume of cylinders, prisms, composite solids.

统计

• Conduct bivariate data investigations: scatter plots, lines of best fit.
• Compare distributions using shape, centre, and spread.
• Use statistical models to make predictions.
• Analyse probability distributions, including expected values.

Applicable Cambridge Curriculum References

• Cambridge IGCSE Mathematics (0580) – Foundation & Core topics
• Number: ratios, surds (extended), indices, standard form.
• Algebra: linear equations/inequalities, quadratics, simultaneous equations.
• Geometry: trigonometry, circle theorems, mensuration.
• Statistics: histograms, cumulative frequency, scatter plots, probability.

• Cambridge Lower Secondary Stage 9 extension 又 pre-IGCSE bridging:
• Linear graphs, simultaneous equations.
• Advanced trigonometry foundations.
• Handling and interpreting real datasets.