12MC1

12 Mathematics with Calculus 1

Course Description

Teacher in Charge: Mr S. Kumar

This course is designed to prepare the foundation for Level 3 Calculus and for those students who intend to study Mathematics, Engineering, Architecture, Science and similar technological careers at tertiary level. 

Calculus develops practical skills in differential and integral calculus. It is intended to illustrate various applications of calculus to technical problems. The rules of differentiation will be introduced, and methods of differentiating various algebraic functions will be developed. Further methods of algebraic manipulation, non-linear graphs and trigonometry are also explored.

*10MTA* students study this course, but can choose to repeat if necessary. 

It is possible to choose both 12MC1 and 12MA1 which is mathematics with statistics, however it is important to note that the Trigonometry standard is offered in both courses.

Prerequisites

*11MA1 & 10MTE*: At least Merit in three standards, including in AS91027 (Algebra MCAT), AS91028 (Graphs), PLUS at least 60% in the MAGS Algebra Skills Test 

OR HoD approval.



Contributions and Equipment/Stationery

12MC1 - Supplementary costs: Approx $50
A graphics calculator is recommended for this course.

Pathway

Credit Information

This course is eligible for subject endorsement.

Total Credits Available: 19 credits.
Externally Assessed Credits: 9 credits.
Internally Assessed Credits: 10 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91257 v3
NZQA Info
Mathematics and Statistics 2.2 - Apply graphical methods in solving problems
4
4
4
4
4
Level: 2
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y

Assessments:
Term: 2, Week: 10

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. 91261 v3
NZQA Info
Mathematics and Statistics 2.6 - Apply algebraic 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

Assessments:
Term: 1, Week: 6

A.S. 91262 v3
NZQA Info
Mathematics and Statistics 2.7 - Apply calculus methods in solving problems
5
5
5
Level: 2
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y

Assessments:
Term: 3, Week: 6

A.S. 91574 v2
NZQA Info
Mathematics and Statistics 3.2 - Apply linear programming methods in solving problems

Further assessment opportunities will not be offered for this standard inline with NZQA guidelines

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: 19
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
TotalNumeracy Credits: 19

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 3

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.

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