12MATE

Level 2 Mathematics Enrichment

Course Description

Teacher in Charge: Mrs S. Higgins.

The Year 12 Mathematics with Calculus Enrichment 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 Enrichment (11MATE) and is designed to challenge our most able Year 12 mathematicians, covering the core Level 2 Achievement Standards in Trigonometry, Graphing, Algebra and  Calculus and Level 3 Achievement Standard in Conic Sections.

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.  They will also be introduced to Differentiation and Integration through the Calculus paper.   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 Enrichment (13CALE) and/or Level 3 Statistics (13STAT) courses. 

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

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 2 Mathematics Enrichment

2

Entry at HoD discretion. Invitation only.

Level 2 Mathematics with Statistics

2

10 credits in a year 11 Mathematics course, including 91947 Mathematical Reasoning, or with HoD discretion.

Level 2 Mathematics Progression

2

10 credits in a year 11 Mathematics course, including 91947 Mathematical Reasoning with a Merit or Excellence grade, or with HoD discretion.

Level 2 Statistics General

2

5 credits from 91944 Explore data and success in US 32406 Numeracy in a Year 11 Mathematics and Statistics course, or at the discretion of the HoD


Pathway

Credit Information

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

Total Credits Available: 19
Internal Assessed Credits: 10
External Assessed Credits: 9
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91257 v3
NZQA Info

Mathematics and Statistics 2.2 - Apply graphical methods in solving problems


Level: 2
Internal or External: Internal
Credits: 4
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


Level: 2
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91261 v3
NZQA Info

Mathematics and Statistics 2.6 - Apply algebraic methods in solving problems


Level: 2
Internal or External: External
Credits: 4
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


Level: 2
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
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


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

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