NCEA Level 1,2,3 (Yr 11, 12, 13)

Year 11 Mathematics NCEA 1

The new NCEA 1 syllabus (as of 2011) comprises of 13 Achievement Standards made up of three external standards. One common assessment tasks (CAT) and nine internal achievement standards.

The Achievement Standards now Examined in NCEA 1 Mathematics are

Standard Assessment Name of Standard Credits
Internal 91026 1.1 Apply numeric reasoning when solving problems 4
Internal 91029 1.4 Applying linear algebra to solve problems 3
Internal 91030 1.5 Solve Measurement problems 3
Internal 91032 1.7 Solving measurement problems involving right-angled triangles 3
Internal 91033 1.8 Apply knowledge of geometry 2
Internal 91034 1.9 Apply Transformation geometry 2
Internal 91035 1.10 Investigate a given Multivariable data set using the statistical enquiry cycle 4
Internal 91036 1.11 Use the statistical enquiry cycle to investigate bivariate numerical data 3
Internal 91038 1.13 Investigate a situation involving elements of chance 3
External 91028 1.3 Investigate relationships between tables, equations or graphs 4
External 91031 1.6 Apply geometric reasoning 4
External 91037 1.12 Demonstrate understanding of chance and data 4
Common 91027 1.2 Apply algebraic methods 4

Text book “Gamma Mathematics” by David Barton.

Year 12 Mathematics NCEA 2 Syllabus

The new NCEA 2 syllabus (as of 2012) comprises of 14 Achievement Standards made up of three external standards and eleven internal achievement standards.

The Achievement Standards now examined in NCEA 2 Mathematics are

Standard Assessment Name of Standard Credits
Internal 91256 2.1 Apply coordinate geometry methods in solving problems 2
Internal 91257 2.2 Apply graphical methods in solving problems 2
Internal 91258 2.3 Apply sequences and series in solving problems 2
Internal 91259 2.4 Apply trigonometric relationships in solving problems 3
Internal 91260 2.5 Apply network methods in solving problems 2
Internal 91263 2.8 Design a questionnaire 3
Internal 91264 2.9 Use statistical methods to make an inference 4
Internal 91265 2.10 Conduct experiments to investigate a situation using statistical methods 3
Internal 91266 2.11 Evaluate statistically based reports 2
Internal 91268 2.13 Investigate a situation involving elements of chance using a simulation 2
External 91269 2.14 Apply system of equations in solving problems 5
External 91261 2.6 Apply algebraic methods in solving problems 2
External 91262 2.7 Apply calculus methods in solving problems 5
External 91267 2.12 Apply probability methods in solving problems 4

Text book “Theta Mathematics” by David Barton.

NCEA Level 3 – Calculus

Standard Assessment Name of Standard Credits
Internal 91573 IAS 3.1; Apply the geometry of conic sections in solving problems 3
Internal 91574 IAS 3.2 ; Apply linear programming methods in solving problems 3
Internal 91575 IAS 3.3 ; Apply trigonometric methods in solving problems 4
Internal 91576 IAS 3.4 ; User critical path analysis in solving problems 2
External 91577 IAS 3.5 ; Apply the algebra of complex numbers in solving problems 5
External 91578 IAS 3.6 ; Apply differentiation of complex numbers in solving problems 6
External 91579 IAS 3.7 ; Apply integration methods in solving problems 6

Text books “Delta Mathematics” by David Barton.

NCEA Level 3 – Statistic & Modelling

Standard Assessment Name of Standard Credits
Internal 91580 IAS 3.8 ; Investigate time series data 4
Internal 91581 IAS 3.9 ; Investigate bivariate measurement data 4
Internal 91582 IAS 3.10 ; Use statistical methods to make a formal inference 4
Internal 91583 IAS 3.11 ; Conduct an experiment to investigate a situation using experimental design principles 4
Internal 91587 IAS 3.15 ; Apply systems of simultaneous equations in solving problems 3
External 91584 IAS 3.12 ; Evaluate statiscally based reports 4
External 91585 IAS 3.13 ; Apply probability concepts in solving problems 4
External 91586 IAS 3.14 ; Apply probability distributions in solving problems 4

Text books “Sigma Mathematics” by David Barton.

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