13CAL

Level 3 Calculus

Subject Description

Teacher in Charge: Miss K. Dawe.

Level 3 Calculus

Mathematics is the exploration and use of patterns and relationships in quantities, space and time.  Statistics is the exploration and use of patterns and relationships in data.  These two disciplines are related but involve different ways of thinking and solving problems.  Both equip students with effective means for investigating, interpreting, explaining and making sense of the world in which they live.

Mathematics with Calculus introduces students to the concept of problem solving using rates of change.  Using Calculus, we can ask and answer questions including, how does an equation grow and shrink, how does it accumulate over time, when does it reach its highest and/or lowest point?

Algebra and Calculus are a problem-solving duo: Calculus finds new equations and Algebra solves them.  Like evolution, Calculus expands your understanding of how nature works.

Prerequisite: 

Level 2 Mathematics and Statistics with 15 credits or more in Level 2 Mathematics and Statistics, or at the discretion of the HOD Mathematics.  Students should have completed the Algebra and Calculus standards.

 

Course Costs:

*1J8 Exercise Book

* Graphics Calculator: Casio Fx9750GII

* Student Workbooks

* Revision Material - Optional


Topics Covered

This course is relevant to those who wish to continue in the Sciences in particular, Physics, Mathematics and Engineering to advanced levels.  

Subject Costs

*1J8 Exercise Book

* Graphics Calculator: Casio Fx9750GII

* Student Workbooks

* Revision Material - Optional

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: 27 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 10 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
3
3
3
Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
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
A.S. 91587 v2
NZQA Info
Mathematics and Statistics 3.15 - Apply systems of simultaneous equations in solving problems
3
3
3
Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 27
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 27

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 27

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.