13MAC

Level 3 Mathematics with Calculus

Course Description

Teacher in Charge: Mrs C. Gouws.

Level 3 Mathematics with Calculus 

The Mathematics with Calculus course provides mathematical study appropriate for students with an interest in the continued study of mathematics or its use in any field where analysis is an important tool. Calculus equips students for many areas of work. It also equips them with effective means for investigating, interpreting, explaining and making sense of the world in which we live. Five of the NCEA Level 3 Achievement Standards for Calculus will be offered in this course. Students will complete Achievement Standards in Differentiation, Integration and Algebra externals, as well as two internals: Trigonometry and Systems of Equations.

Students develop their ability to think logically, apply skills, work with calculus techniques in a variety of contexts, including graphing, and expand their knowledge of trigonometry. Students will be taught all the skills necessary to achieve each standard, as well as how to put these skills into context and extend their thinking to be able to achieve at Merit and Excellence levels.

Students will gain an endorsement for a course if, in a single school year, they achieve:

  • 14 or more credits at Achieved or Merit or Excellence, and
  • at least 3 of these credits from externally assessed standards and 3 credits from internally assessed standards. 

This course is suited to students with a strength in Level 2 algebra, trigonometry and graphing equations. 


Course Overview

Term 1
AS 91577 - Algebra - 5 Credits (6 weeks)
AS 91575 - Trigonometry - 4 Credits (2 weeks) - Identities only
AS 91578 - Differentiation - 6 Credits (2 weeks)

Term 2
AS 91578 - Differentiation - 6 Credits (4 weeks)
AS 91587 - Systems of Equations - 3 Credits (3 weeks)
AS 91575 - Trigonometry - 4 Credits (2 weeks)

Term 3
AS 91575 - Trigonometry - 4 Credits (1 week)
AS 91579 - Integration - 6 Credits (6 weeks)

Term 4
Revision for Externals Exams

Entry Criteria

To gain entry into Level 3 Mathematics with Calculus requires the successful completion of a Level 2 course in Mathematics with Algebra (12MAC), including a Merit 91261 Algebra, 91262 Calculus AND the graphs internal OR  HOD approval.

Very good Algebra skills are essential for this course.

Students must also meet the requirements to study a Level 3 NCEA Award.




Equipment/Stationery and Course Costs

This course makes significant use of digital learning material at various times during the year. It is advantageous for a student to have a laptop during these times. Some learning activities, including assessments, will not be able to be completed without a laptop.
It is essential to have a Casio Graphics Calculator model FX-9750G II.

Pathway

Our Level 3 Mathematics with Calculus Course is designed for students who plan to continue to tertiary study in a program that will need Calculus (Engineering, Physics, Finance, etc.).

Credit Information

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

This course is eligible for NCEA Course Endorsement.

This course is approved for University Entrance.

Total Credits Available: 24 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 7 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
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: 24
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 24

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 24

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

Course selection does not guarantee a course will be available or that you have approval to take a course. Final course confirmation is in January and depends on your final results and in rare cases, staff availability.