12MAS

12 Mathematics Specialist

Subject Description

Teacher in Charge: Mr N. Visagie.

Objectives

Candidates will be expected to learn and apply skills in the following areas

  • Graphing - Use equations and transformations of graphs to solve problems. Draw and find the equations of quadratic, absolute, cubic, trigonometric, exponential and logarithmic graphs.
  • Trigonometry - Applications of sine rule, cosine rule and area of a non-right-angled triangles.
  • Algebra - Manipulating algebraic expressions, determining the nature of the roots of a quadratic equation and forming and solving linear, quadratic and exponential equations.
  • Calculus - Using derivatives and anti-derivatives of polynomials to solve problems. 
  • Probability - Risk and relative risk, the normal distribution, experimental distributions, relative frequencies, two-way tables and probability trees.

Recommended Prior Learning

Merit or higher in 11MAT assessments, 10 credits from the Numeracy co-requisite and/or teacher recommendation.

Subject and Associated Costs

Course Costs: $50.00 Write-on workbooks and revision materials.
Associated Costs: Equipment Required - Casio Graphics Calculator fx-9750-II or fx-9860-GIII.

Pathway

Assessment Information

Year 13 Mathematics Guideline(s):
● Mathematics with Calculus: At least 16 NCEA Level 2 Mathematics Achievement Standard credits AND Merit in 2.6 (Algebra), 2.2 (Graphs), and 2.7 (Calculus).
● Mathematics with Statistics: At least 13 NCEA Level 2/3 Mathematics Achievement Standard credits AND gained 2.12 (Probability).
● Mathematics: At least 10 NCEA Level 2/3 Mathematics Achievement Standard credits.

Credit Information

You will be assessed in this course through all or a selection of the standards listed below.

This subject is eligible for subject endorsement.

Total Credits Available: 20
Internal Assessed Credits: 7
External Assessed Credits: 13
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91257 v3
NZQA Info

Mathematics and Statistics 2.2 - Apply graphical methods in solving problems


Level: 2
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91259 v3
NZQA Info

Mathematics and Statistics 2.4 - Apply trigonometric relationships in solving problems


Level: 2
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91261 v3
NZQA Info

Mathematics and Statistics 2.6 - Apply algebraic methods in solving problems


Level: 2
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91262 v3
NZQA Info

Mathematics and Statistics 2.7 - Apply calculus methods in solving problems


Level: 2
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91267 v3
NZQA Info

Mathematics and Statistics 2.12 - Apply probability methods in solving problems


Level: 2
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
Credit Summary
Total Credits: 20
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 20

Disclaimer

It is important that you complete your option selection by the due date to enable you to have your preferred course of study. Course availability is dependent on numbers and staffing, and course entry will be confirmed at the beginning of the school year.