12MAT

12 Mathematics

Subject Description

Teacher in Charge: Mr J. Eley.

Objectives

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

  • Sequences and Series - Using arithmetic and geometric sequences and series to solve problems.
  • Trigonometry - Applications of sine rule, cosine rule and area of a non-right-angled triangles.
  • Statistics - Box and whisker graphs. Plan and conduct an investigation to make an inference about a population.
  • Probability - Risk and relative risk, the normal distribution, experimental distributions, relative frequencies, two-way tables and probability trees.
  • Bivariate Statistics - Scatter graphs. Plan and conduct an investigation using bivariate numerical data.

Recommended Prior Learning

Achievement in most topics covered in 11MAT/11MAS, 10 credits from the Numeracy co-requisite and/or teacher recommendation.

Subject and Associated Costs

Course Costs: $45.00 Write-on workbooks and revision material.
Associated Costs: Equipment Required - Casio Graphics Calculator fx-9750-II or fx-9860-GIII.

Pathway

Assessment Information

Year 13 Mathematics Guidelines:
● 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.
● This course does not lead to Maths with Calculus at Year 13. Students must take 12MAS if they wish to study Maths with Calculus at Year 13.

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: 17 credits.
Externally Assessed Credits: 4 credits.
Internally Assessed Credits: 13 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91258 v3
NZQA Info
Mathematics and Statistics 2.3 - Apply sequences and series in solving problems
2
2
2
2
2
Level: 2
Internal or External: Internal
Credits: 2
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. 91264 v3
NZQA Info
Mathematics and Statistics 2.9 - Use statistical methods to make an inference
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. 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
A.S. 91581 v2
NZQA Info
Mathematics and Statistics 3.9 - Investigate bivariate measurement data
Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 17
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 17