# 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 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

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

Textbook “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

Textbooks “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 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.