Year 12 - 13 Mathematics
Year 12 - 13 Mathematics
Full year course
Ānō me he whare pūngāwerewere
This course will cover the following topics:
Algebra and Graphs
Trigonometry
Probability
Calculus
Coordinate Geometry
Systems of Equations
Recommended Prior Learning:
We recommend this course if you gain proficient or advancing on assessments in Year 11 and a strong score on the end of year exam.
Entry into the course is subject to HOD approval.
Contact Teacher: Kasper Black
Outcomes
Endorsement available: Yes
Internal credits: 7
External credits: 13
Total credits: 20
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: Potential Pathways from this Subject
Mathematics at Year 13 divides into three courses of which you may choose up to two of:
Calculus
Statistics
Mathematics (General)
Find more details in our Course outline
Full year course
Ānō me he whare pūngāwerewere
In this course, you will
explore the complex number world
investigate the instantaneous change (called the "derivative") of various functions. (The process of doing so is called "differentiation".)
use derivatives to solve various kinds of problems.
go back from the derivative of a function to the function itself. (This process is called "integration".)
Explore detailed methods for integrating functions of certain kinds.
Mathematics at Year 13 divides into three courses of which you may choose up to two of:
Calculus
Statistics
Mathematics (General)
Recommended Prior Learning: We recommend this course if you gain 14 credits at Level 2, with the minimum of an achieved grade in standards 91261 (2.6) Algebra, 91262 (2.7) Calculus, and 91269 (2.14) Systems of equations.
Entry into the course is subject to HOD approval.
Contact Teacher: Kasper Black
Outcomes
Endorsement available: Yes
Internal credits: 4
External credits: 17
Total credits: 21
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: Calculus is essential for students pursuing degrees in engineering (all branches), physics, chemistry, biology, computer science, and mathematics. It also plays a role in business, economics, and finance. Essentially, any field that involves modeling systems with change and making predictions based on those models will benefit from a strong calculus foundation.
Find more details in our Course outline
Full year course
Ānō me he whare pūngāwerewere
This course will cover the following topics:
Algebra
Trigonometry
Probability
Statistical inference and analytical report writing
Simulations and chance
Recommended Prior Learning: We recommend this course if you gain developing, proficient or advancing on assessments in Year 11 and a strong score on the end of year exam.
Entry into the course is subject to HOD approval.
Contact Teacher: Anthony Rehutai
Outcomes
Endorsement available: Yes
Internal credits: 11
External credits: 8
Total credits: 22
UE Reading credits: 0
UE Writing credits: 0
Possible next steps:
The majority of 12MAS students progress to 13MAS however students can select both 13MAT and 13MAC (however work is needed to cover the 12MAC content in advance)
Mathematics at Year 13 divides into three courses of which you may choose up to two of:
Calculus
Statistics
Mathematics (General)
Find more details in our Course outline
Full year course
This course will cover the following topics:
Investigate bivariate data
Make a statistical inference
Evaluate statistical reports
Probability concepts
Probability distributions
Linear programming
Mathematics at Year 13 divides into three courses of which you may choose up to two of:
Calculus
Statistics
Mathematics (General)
Recommended Prior Learning: We recommend this course if you gain 12 credits or more in a Year 12 Mathematics Courses (12MAS, 12MAC, 12MCA or 12MAT).
For Bivariate Data and Statistical Inference, the internal assessments require critical thinking and strong research skills. You will write substantial reports for these two topics. The two Probability topics are more mathematically focused, but to succeed you must think hard about how real-life data compares to theoretical probability estimates. Throughout this course mathematical skills and literacy skills are intertwined.
Entry into the course is subject to HOD approval.]
Contact Teacher: Anthony Rehutai
Outcomes
Endorsement available: Yes
Internal credits: 8 (or 10)
External credits: 12
Total credits: 20 (or 22)
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: Science, Engineering, Social sciences, Business, Economics, Medicine, Computer Science degrees at university
Find more details in our Course outline 2025.
Full year course
Ānō me he whare pūngāwerewere
In this course you will study various Mathematics topics:
Sequences and Series
Trigonometry
Networks
Probability
Systems of equations
Statistical inference
Recommended Prior Learning:
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.
Contact Teacher: Gina Reid
Outcomes
Endorsement available: Yes
Internal credits: 13
External credits: 4
Total credits: 17
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: 13MAT, 13MAS
Find more details in our Course outline 2025.
Full year course
Ānō me he whare pūngāwerewere
This course covers the following topics:
Linear programming
Trigonometry
Critical path analysis
Experiment
Time Series
Systems of Simultaneous Equations
Mathematics at Year 13 divides into three courses of which you may choose up to two of:
Calculus
Statistics
Mathematics (General)
Recommended Prior Learning: This course is recommended if you gain 10 credits in Mathematics at Level 2 (12MAC, 12MAS, 12MCA, 12MAI or 12MAP).
Entry into the course is subject to HOD approval.
Contact Teacher: Gina Reid
Outcomes
Endorsement available: No
Internal credits: 20
External credits: 0
Total credits: 20
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: Science, Social sciences, Business, Economics, Medicine, Computer Science degrees at university
Note- Some engineering courses allow this for entry however the main Canterbury and Auckland one need 13MAC.
Find more details in our Course outline 2025.
Full year course
Ānō me he whare pūngāwerewere
In this course you will study various topics:
Trigonometry - helpful for construction and design
Sequences and Series - useful for interest and debt calculations
Statistical Inference - being able to critically analyse differences that exist and the significance of these differences
Coordinate Geometry - work with lines, scale drawings, midpoints, gradients to understand geometry and design
Income Tax - understand how it is calculated and what it is used for
Household budgets - be able to manage your money and plan for expenses
Personal income - be able to plan ahead for significant life events that could impact personal income
Recommended Prior Learning: A good attitude and a willingness to work hard - earning Level 2 credits in mathematics is considerably more challenging than it was in Level 1 so you will need to match this increase in difficulty with sufficient dedication to your learning.
Entry into the course is subject to HOD approval.
Contact Teacher: Jenna Vreeburg
Outcomes
Endorsement available: No
Internal credits: 11 (Acheivement standards) 8 (unit standards)
External credits: 0
Total credits: 19
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: This course does not progress to Year 13 Mathematics courses. However, students who demonstrate good work habits and adequate achievement in this course will be considered for entry into the Level 3 Mathematics course, which is a University Entrance approved course.
Find more details in our Course outline 2025
Accelerated programme - by invitation only.
Full year course
This course follows the syllabus for the Cambridge International Examinations and has two elements (NCEA Level 2 topics are covered under these two elements):
Pure Mathematics 1
1.1 Quadratics
1.2 Functions
1.3 Coordinate geometry
1.4 Circular measure
1.5 Trigonometry
1.6 Series
1.7 Differentiation
1.8 Integration
Probability & Statistics 1
5.1 Representation of data
5.2 Permutations and combinations
5.3 Probability
5.4 Discrete random variables
5.5 The normal distribution
Recommended Prior Learning: Selection for this course is based off results in 11MCA in class assessments and end of year exam.
Contact Teacher: Aaron Hawke/Cushla Thomson
Outcomes
Endorsement available: Yes
Internal credits: 7
External credits: 13
Total credits: 20
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: 13MCA or 13MAC/13MAS
Find more details in our Course outline 2025.
Full year course
Ānō me he whare pūngāwerewere
This course follows the syllabus for the Cambridge International Examinations and has two elements (NCEA Level 3 Calculus topics are covered under these two elements):
Pure Mathematics 3
3.1 Algebra
3.2 Logarithmic and exponential functions
3.3 Trigonometry
3.4 Differentiation
3.5 Integration
3.6 Numerical solution of equations
3.7 Vectors
3.8 Differential equations
3.9 Complex numbers
Probability & Statistics 2
6.1 The Poisson distribution
6.2 Linear combinations of random variables
6.3 Continuous random variables
6.4 Sampling and estimation
6.5 Hypothesis tests
Recommended Prior Learning: Entry to this course is from the 12MCA course. You need to gain a grade of a C or above and get Merit
Contact Teacher: Cushla Thomson
Outcomes
Endorsement available: Yes
Internal credits: 4
External credits: 17
Total credits: 21
UE Reading credits: 0
UE Writing credits: 0
Possible next steps: Math 199 university course in Year 13.
Find more details in our Course outline 2025.
Full year course
MATH199 is a course in calculus and linear algebra. This STAR course is designed for bright secondary school students who have excelled in level 3 NCEA Mathematics (or equivalent) and wish to take level 100 mathematics while still at school.
Recommended Prior Learning: Entry to this course is reserved for students who gain Excellence in all three external examinations in 13MCA or 13MAC
Contact Teacher: Liz Nock
Outcomes
15 points university
Possible next steps: Most university courses, this course does not prevent entry to any or count towards competitive entry courses (like Health Science).
Find more details in our Course outline 2025.