Year 10 Mathematics (NZC Level 5, bridging to Level 6)
Instructor
basco@horntech.co.nz
- Description
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) and scientific notation.
- Analyse linear functions in depth: slope, intercepts, modelling contexts.
Geometry & Measurement
- Apply the Pythagorean theorem and 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.
Statistics
- 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 and pre-IGCSE bridging:
- Linear graphs, simultaneous equations.
- Advanced trigonometry foundations.
- Handling and interpreting real datasets.
English