Bethlehem College
NCEA Level 3 Mathematics with Calculus
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 workbook(s).
Casio FX9860 GIII graphics calculator
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.
External
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
NZQA Info
Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
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.
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