13MAC

13 Calculus (13MAC)

Course Description

Teacher in Charge: Angela Brett.

13 Calculus

This course is excellent preparation for university study in several areas such as Maths, Physics or Engineering. Students should be comfortable with sitting External exams.

Course Components 

  • Use differentiation and integration to solve problems 
  • Work with equations describing curves 
  • Develop equations in trigonometry and conic sections 
  • Expand your algebraic skills to include imaginary numbers


Course Overview

Term 1
Algebra revision from Level 2.
Work for external AS 3.6 Differentiation - learning to use Calculus and algebra to model situations involving change.

Term 2
Complete AS 3.3 Trigonometric Methods - use trig functions to model periodic phenomenon like tides.
Work for external AS 3.7 Integration - learning to use Calculus and algebra to find areas under curves

Term 3
Student choice of either the third Calculus Domain external (AS 3.5 Complex Numbers - exploring algebra involving the square root of negative numbers) or completing 2 extra internal exams in order to make it easier for students to complete the 14 credits needed for UE maths (AS 3.2 Linear Programming and AS 3.15 Simultaneous Equations, each 3 credits)

Term 4
Revision for externals.

Some students may attempt the internal AS 3.1 Conic Sections if it something that would be useful to them in their future mathematics career.

Recommended Prior Learning

Entry Suggestion

Evidence of understanding in Level 2 Algebra and Calculus

Contributions and Equipment/Stationery

Scientific calculator (NCEA-approved https://www.nzqa.govt.nz/ncea/subjects/approved-calculator-list/)
Students should consider purchasing a graphics calculator at this stage. (FX-9750 or FX-9860, all variants)

Assessment Information

Possible Credits
External - 12 credits
Internal - 4-10 credits
UE Approved
Scholarship Subject

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: 16
Internal Assessed Credits: 4
External Assessed Credits: 12
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. 91578 v2
NZQA Info

Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems


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


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: 16
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 16

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 16

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.