13MAC

NCEA Level 3 Mathematics with Calculus

Although this years timetables are yet to be finalised, course selection is now finished. Any changes to student courses will now take place next year.

Subject Description

Teacher in Charge: Mrs H. Cason.

Mathematics with Calculus

Mathematics can be challenging, beautiful, powerful and fascinating. Wherever problems need to be solved, Mathematics is involved. It is fundamental to the study of engineering, virtually all science subjects and useful for many other subjects.

Level 3 Mathematics with Calculus extends and develops the calculus work begun in Year 12. 

The course covers the learning areas of Algebra, Trigonometry and Calculus, and is for students with a major interest in the continued study of Mathematics, Applied Sciences and Technologies (e.g. Biotechnology and Food Technology), Physical Sciences, Engineering, Architecture or Economics. 

The majority of the credits offered are externally assessed. Students doing Level 3 Mathematics with Calculus will require a high level of algebra skills, and formulation of problems in mathematical terms, use of mathematical reasoning, precision in the use of symbols and the ability to construct and set out methodically a mathematical argument become increasingly important at this level.

 



Subject Overview

Term 1
Trigonometry 1: Trigonometric Identities (part of AS 91575)

Algebra: Apply the algebra of complex numbers in solving problems (AS 91577)

Term 2
Trigonometry 2: Trigonometric functions and equations (AS 91575)

Differentiation (AS 91578):
Differentiation Skills
Applications of differentiation

Term 3
Applications of differentiation (continued)

Integration (AS 91579)

Term 4
Integration (continued)

Prior Learning

Prerequisite: 

  • Merit in 2.6 Algebra AND 2.7 Calculus 
  • Merit in either 2.2 Graphs or 2.4 Trigonometry and a minimum of Achieved in both

Contributions and Equipment/Stationery

Approximately $45 to cover textbook slipcover and Maths workbook(s).

Casio FX-9750gII OR Casio FX-9750gIII graphics calculator

Career Pathways

Assessment Information

Three external Achievement Standards will be assessed in a three hour external examination at the end of the year.
This exam will contain three booklets, each one examining an externally assessed achievement standard.

One internally-assessed Achievement Standard: this will be a closed-book test, and will be administered to follow the school’s policy and procedures on lateness, misconduct, extensions, missed/delayed assessments and appeals.

Credit Information

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

This course is eligible for subject endorsement.

This course is approved for University Entrance.

Total Credits Available: 21 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 4 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91575 v2
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91577 v2
NZQA Info
Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
Level: 3
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91578 v2
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
6
6
6
6
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91579 v2
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
6
6
6
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 21
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 21

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 21

Only students engaged in learning and achievement derived from Te Marautanga o Aotearoa are eligible to be awarded these subjects as part of the requirement for 14 credits in each of three subjects.

Disclaimer

Your selection does not guarantee course placement. Course costs and standards listed may vary.