12MAS

12 Mathematics Specialist

Subject Description

Teacher in Charge: Mr J. Eley.

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 11MAS 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 credits.
Externally Assessed Credits: 13 credits.
Internally Assessed Credits: 7 credits.

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
4
4
4
4
4
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
3
3
3
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
4
4
4
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
5
5
5
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
4
4
4
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