12MATC

Level 2 Mathematics with Calculus

Course Description

Teacher in Charge: Mr G. Atkinson

The Year 12 Mathematics with Calculus Extension course covers Level 7 of the Mathematics and Statistics in the New Zealand Curriculum document, and some Level 8 content. As a Year 12 student you will be studying towards NCEA Level 2. The aim of this course is to provide a firm basis for any mathematical work undertaken in Year 13 and tertiary levels and also to encourage the development of mathematical processes.

This course is a follow-on course from Level 1 Mathematics Extension (11MATX) and is designed to challenge our most able Year 12 mathematicians, covering the core Level 2 Achievement Standards in Algebra, Trigonometry, Calculus and Probability and Level 3 Calculus Achievement Standards 3.1 Conic Sections and 3.5 Apply the Algebra of Real and Complex Numbers.

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 problem solving involving both real and complex numbers.  They will also be introduced to Differentiation and Integration through the Calculus paper.  In addition, students will be introduced to the Probability concepts to prepare them for Level 3 Statistics course.  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 Excellence levels and obtain a strong foundation to aim for Scholarship level next year.

Students who successfully complete this course will be invited to Level 3 Calculus Extension (13CALX) and/or Level 3 Statistics (13STAT) courses. 

This course is very demanding and requires a high competency level in Algebra.

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




Recommended Prior Learning

Invitation Only. The selection will be made based the September Entrance examination results and internal assessment results in 2019.
However, some alterations to the selection may occur based on the external examination results.

Pathway

Credit Information

Total Credits Available: 22 credits.
Externally Assessed Credits: 14 credits.
Internally Assessed Credits: 8 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91256 v3
NZQA Info
Mathematics and Statistics 2.1 - Apply co-ordinate geometry methods in solving problems
2
2
2
2
Level: 2
Internal or External: Internal
Credits: 2
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
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. 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
A.S. 91267 v3
NZQA Info
Mathematics and Statistics 2.12 - Apply probability methods in solving problems
4
4
4
Level: 2
Internal or External: External
Credits: 4
Level 1 Literacy Credits: Y
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections 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
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
Credit Summary
Total Credits: 22
Total Level 1 Literacy Credits: 4
Total University Entrance Literacy Credits: 0
TotalNumeracy Credits: 22

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 8

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 

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