Year 12 NCEA mathematics internal (12MAT)

Mathematics is the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics):

• develop flexibility and creativity in applying mathematical ideas and techniques to unfamiliar problems arising in everyday life, and develop the ability to reflect critically on the methods they have chosen 

• become effective participants in problem-solving teams, learning to express ideas, and to listen and respond to the ideas of others 

• develop the skills of presentation and critical appraisal of a mathematical argument or calculation, use mathematics to explore and conjecture, and learn from mistakes as well as successes 

• develop the characteristics of logical and systematic thinking, and apply these in mathematical and other contexts, including other subjects of the curriculum

• become confident and competent users of information technology in mathematical contexts 

• develop the skills and confidence to use their own language, and the language of mathematics, to express mathematical ideas 

• develop the knowledge and skills to interpret written presentation of mathematics 

Please note that this course is comprised of challenging NCEA Level 2 achievement standards. The course is built using predominantly internally assessed standards to enable the opportunity for resubmissions and flexible assessment conditions, but it is a considerably higher level of mathematics than you experienced in Year 11. Students electing to take this course need to have determination and drive and must work hard to understand the many new skills and concepts in order to achieve the credits on offer. It is not an 'easy' maths option (in order to be awarded Level 2 credits, students need to demonstrate that they are working at Level 7 of the New Zealand Curriculum).

In this course you will study various Mathematics topics: 

• Sequences and Series

• Trigonometry

• Networks

• Probability

• Systems of equations

• Statistical inference

These cover a wide range of areas in both Mathematics and Statistics. You will be able to continue your Mathematics studies in Year 13 with the Level 3 Mathematics course and it is possible to gain entry into the Level 3 Statistics course if you do particularly well in the Probability external and Statistics components of the 12MAT course.

The emphasis of this course is on laying a strong statistical foundation, building on basic algebraic skills and problem solving strategies to provide progression if possible into the General Mathematics course in Year 13 (13MAT). This course is a University Entrance approved subject.

We recommend this course to you:  

• If you wish to continue your Mathematics studies, but may have difficulty with the complexities of the full Year 12 Mathematics External standards, this course is designed to meet your needs. 

• Entry into the course is subject to HOD approval.

Assessment

Seven NCEA standards offered in this course. Six standards are assessed internally and one standard is assessed externally in the November NCEA examinations.

The standards offered and assessed are:

• 91258 v3 (2.3) Apply sequences and series in solving problems

• 91259 v3 (2.4) Apply trigonometric relationships in solving problems 

• 91260 v3 (2.5) Apply network methods in solving problems

• 91264 v3 (2.9) [L] Use statistical methods to make an inference 

• 91267 v3 (2.12) [L] Apply probability methods in solving problems 

• 91269 v3 (2.14) Apply systems of equations in solving problems

[L] These standards contribute to the literacy requirement for NCEA Level 1.

Other Details

A Casio fx–9750GII graphics calculator is required for this course and will be used extensively.

Note: This course does not progress to Year 13 Calculus or Year 13 Statistics. However, it does progress to Year 13 Mathematics, which is a University Entrance approved course. 

NZQA Mathematics Subject Resources

http://www.nzqa.govt.nz/qualifications-standards/qualifications/ncea/subjects/mathematics/levels

School Policy for NCEA Assessment

You should be aware of the school procedures for NCEA assessment.  They can be found on the school website at this link. There you will find answers to frequently asked questions about how NCEA works as well as guidance about how to apply for extensions, reconsiderations or the process for withdrawing from a standard.