NCEA Level 1, 2, 3 (Yr 11–13)

Secondary Year 9-13 pathways include NCEA (Level 1, 2, 3 and Scholarship).

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

Assessment	Standard	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 dataset 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

Assessment	Standard	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

Textbook “ Theta Mathematics” by David Barton.

NCEA Level 3 – Calculus

Assessment	Standard	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

Textbooks “ Delta Mathematics” by David Barton.

NCEA Level 3 – Statistic & Modelling

Assessment	Standard	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 statistically 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

Textbooks “ Sigma Mathematics” by David Barton.

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