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Year 12 Mathematics/Pāngarau

CBHS —

Mathematics, MTA, Statistics

12 MTA — NCEA MATHEMATICS

ENTRY CRITERIA

10 credits in 11MTH. Students that have been successful in other forms of Mathematics should see the HOD of Mathematics. All cases are treated on their merits by the HOD and Dean.

Please note the 10 credits from the Numeracy CAA Exam do not count toward this.

INTRODUCTION

This is the mainstream mathematics course which provides the background for both 13 Calculus and 13 Statistics. Additionally, the course provides students with the knowledge and skills necessary for other Year 12 and 13 courses – in particular the sciences.

FUTURE PATHWAYS

Leads to 13CAL and/or 13STA.

CONTENT AND SKILLS

Students develop analytical problem-solving skills and are introduced to calculus. Good algebraic skills are emphasised and are a necessary requirement for success.

Topics include:

  • Calculus – differentiation, integration

  • Coordinate geometry

  • Algebraic expressions and methods

  • Probability

  • Trigonometry

  • Graphing

ACHIEVEMENT STANDARDS – 12MTA

Not all standards will necessarily be assessed.

  • External 91261 v3 - Mathematics and Statistics 2.6 - Apply algebraic methods in solving problems (4 credits).

  • External 91262 v3 - Mathematics and Statistics 2.7 - Apply calculus methods in solving problems (5 credits).

  • External 91267 v3 - Mathematics and Statistics 2.12 - Apply probability methods in solving problems (4 credits).

  • Internal 91256 v3 - Mathematics and Statistics 2.1 - Apply co-ordinate geometry methods in solving problems (2 credits).

  • Internal 91259 v3 - Mathematics and Statistics 2.4 - Apply trigonometric relationships in solving problems (3 credits).

  • Internal 91269 v3 - Mathematics and Statistics 2.14 - Apply systems of equations in solving problems (2 credits).

12 STA — STATISTICS

ENTRY CRITERIA

10 credits from the 11MTH or 11MTG course or 10 achievement standard credits from 11NUM

Please note the 10 credits from the Numeracy CAA Exam do not count toward this.

INTRODUCTION

This course is designed for students who have performed well at Level 1 NCEA and want to continue studying Maths but wish to do NCEA Standards that do not require algebraic skills. It has a Statistics and Probability focus which builds on the statistics done in Year 11 and prepares students for 13STA.

CONTENT

  • Probability

  • Statistical Inference

  • Networks

  • Questionnaires

  • Experimental Design

  • Simulations

FUTURE PATHWAYS

13STA.

NOTE

A considerable amount of the class work and all the internal assessment is computer-based. It is preferable that students have their own device which can run Windows OS. Therefore, it is strongly recommended that students have their own Windows device as the availability of school computers may be limited. Students progressing from 12STA to 13STA will similarly be expected to use their own device.

ACHIEVEMENT STANDARDS – 12STA

Not all standards will necessarily be assessed.

  • External 91267 v3 - Mathematics and Statistics 2.12 - Apply probability methods in solving problems (4 credits).

  • Internal 91260 v3 - Mathematics and Statistics 2.5 - Apply network methods in solving problems (2 credits).

  • Internal 91264 v3 - Mathematics and Statistics 2.9 - Use statistical methods to make an inference (4 credits).

  • Internal 91265 v3 - Mathematics and Statistics 2.10 - Conduct an experiment to investigate a situation using statistical methods (3 credits).

  • Internal 91268 v3 - Mathematics and Statistics 2.13 - Investigate a situation involving elements of chance using a simulation (2 credits).

  • Internal 91256 - Mathematics and Statistics 2.1 - Apply co-ordinate geometry methods in solving problems