## 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.