13CALX

Level 3 Calculus Extension

Course Description

Teacher in Charge: Mrs S. Higgins.

The Year 13 Calculus course covers Level 8 of the Mathematics and Statistics in the New Zealand Curriculum document. Students will be studying towards the National Certificate of Educational Achievement (NCEA) Level 3. This is an approved subject for University Entrance.

This course is a follow-on course from Level 2 Mathematics with Calculus Extension (12CALX) and is designed to challenge students to achieve at excellence or scholarship level. Students will complete Achievement Standards in Differentiation and Integration externals, as well as two internals: Trigonometry and Systems of Equations. They will also learn the skills and knowledge in preparation for sitting the Scholarship Calculus exam.

In this course students will develop their ability to think logically, confidently apply mathematical concepts when solving theoretical and real-world problems in various contexts. Students with strong analytic reasoning skills and problem-solving skills are widely sought after in all industries. This course provides the foundation for a variety of further studies.

For success in this course, a thorough knowledge and application of algebraic manipulation is essential. 

Entrance to this course is by HOD invitation only.

A graphics calculator is essential for this course.

The standards offered in this course may be altered at the discretion of the Head of Department.

Recommended Prior Learning


Subject

Level 

Recommendations

Level 3 Calculus

3

14 credits including at least Merit in AS 91261 (Algebra) and at least Merit in either AS 91262 (Calculus) or AS AS91257 (Graphs) or at the discretion of the HoD.

Level 3 Calculus Extension

3

Entry at HoD discretion. Invitation only.

Level 3 Statistics General

3

12 credits from 12 Practical Statistics including at least one of AS91264 (Inference) or AS91267 (Probability methods), or at the discretion of the HoD.

Level 3 Statistics

3

14 credits from a Level 2 Mathematics course including AS91264 (Inference) and for 12MATS AS91267 (Probability methods) or at the discretion of the HoD.

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: 19
Internal Assessed Credits: 7
External Assessed Credits: 12
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. 91578 v2
NZQA Info

Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems


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


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


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
Total Numeracy Credits: 19

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 19

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

Courses will only run based on minimum entries

Selecting a course does not guarantee entry into this course

You may apply for an exemption if you do not meet the prerequisites of a course or if the course requires this for entry

Standards offered can be altered at the discretion of the HOF or HOD of the Department

Some standards in NCEA courses might be optional depending on student strengths