Level 3 Mathematics with Calculus - Extension
13MACE Course DescriptionTeacher in Charge: Mrs C. Gouws.
Entry CriteriaTo gain entry into Level 3 Mathematics with Calculus - Extension requires the successful completion of a Level 2 course in Mathematics with Algebra (12MAC or 12MACE), including the majority of credits achieved in the Level 2 Calculus course and in particular the external standard 91261 Algebra and 91262 Calculus at Excellence levels OR entrance with HOD approval.
Excellent Level 2 Algebra skills are essential for this course.
Students must also meet the requirements to study a Level 3 NCEA Award.
You will not be permitted on to this course if you have not performed at a satisfactory level in Year 12 Calculus and you must be committed to sitting the Scholarship paper to be admitted on to this course.
Level 3 Mathematics with Calculus Extension
It is a requirement for all students in a Level 3 Extension course to sit the Scholarship exam.
The Mathematics with Calculus - Extension 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.
Students develop their ability to think logically, apply skills, work with algebra in a variety of contexts, including graphing, and expand their knowledge of trigonometry and calculus. Students will be taught all the skills necessary to achieve relational thinking in each standard, as well as how to put these skills into context and extend their thinking to be able to achieve at Excellence levels.
Four 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 one internal: Conics. and the Scholarship Calculus exam. They will also expand and revise all Level 3 material covered in 12MACE in preparation for sitting the Scholarship Calculus exam.
This course is suited to students with a strength in Level 2 algebra, trigonometry and graphing equations.
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.
Course Overview
Term 1
AS 91577 - Algebra - 5 Credits (6 weeks) Including Scholarship material
AS 91575 - Trigonometry - 4 Credits (1 week) Identities only
AS 91578 - Differentiation - 6 Credits (2 weeks)
Term 2
AS 91578 - Differentiation - 6 Credits (4 weeks) including Scholarship material
AS 91573 - Conic Sections - 3 Credits (5 weeks) including Scholarship material
Term 3
AS 91579 - Integration - 6 Credits(5 weeks) - including Scholarship material
Scholarship work & Revision for External Exams
Term 4
Scholarship work & Revision for External 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.