Level 3 Mathematics with Calculus
13MAC Course DescriptionTeacher in Charge: Mrs C. Gouws.
Entry CriteriaTo 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.
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
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.