Westlake Boys High School
Level 2 Mathematics with Calculus - Extension
Course Description
Teacher in Charge: Mrs S. Steyn, Mrs C. Gouws.
Level 2 Mathematics with Calculus - Extension
The Level 2 Mathematics with Calculus - Extension course aims to develop the skills required to achieve relational thinking in each standard and to apply these skills in different contexts to reach Excellence levels. Students will improve their ability to think logically, apply skills, work with algebra in various contexts, including graphing, and enhance their knowledge of trigonometry and calculus.
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The Level 2 Mathematics with Calculus course challenges our most able Year 12 mathematicians. It covers the core Level 2 Achievement Standards in Graphs, Algebra, and Calculus, along with the Level 3 Calculus Achievement Standard 3.3 Trigonometry.
In this course, students will enhance their logical thinking skills, apply algebra in various scenarios including graphing, and expand their understanding of trigonometry and problem solving. The curriculum includes an introduction to differentiation and integration through the Calculus paper. Students will be provided with comprehensive instruction on the necessary skills required to meet each standard and will also learn how to apply these skills in different contexts and elevate their thinking to achieve at Excellence levels. This course also serves as preparation for NCEA Calculus Scholarship and will cover Level 3 concepts such as differentiation (chain rule, product rule, and quotient rule), integration (definite integrals and area under curve), non-linear simultaneous equations, 3D systems of equations, conic sections, and trigonometric identities.
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 91261 - Algebra - 4 Credits (6 weeks) -including extension and Scholarship material
AS 91257 - Graphs - 4 credits (4 weeks)
Term 2
AS 91575 - Trigonometry - 4 Credits (4 weeks) - including Trig Identities
AS 91269 - Systems of Simultaneous Equations - 2 credit (2 weeks)
Coordinate Geometry (0.5 week)- Level 2 material
Systems of Equations(1 week) - Level 3 material
Conic Sections (1 week) - including Level 3 material
Term 3
AS 91262 - Calculus - 5 Credits (5 weeks) - including extension and Scholarship material
Revision for external exams and extension in preparation for Scholarship
Term 4
Revision for external exams and extension in preparation for Scholarship
Entry Criteria
This is a restricted entry course. To gain entry into Level 2 Mathematics with Calculus Extension students:
- must be taking an extension course in year 11 OR request entry into the course path as part of the course selection.
- will require approval from the Head of Mathematics based on assessment results through the entire year.
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.
Pathway
Our Level 2 Mathematics with Calculus - Extension Course is designed for students planning to take the Calculus Scholarship exam in Year 13.
Credit Information
You will be assessed in this course through all or a selection of the standards listed below.
This course is eligible for NCEA Course Endorsement.
External
NZQA Info
Mathematics and Statistics 2.2 - Apply graphical methods in solving problems
NZQA Info
Mathematics and Statistics 2.6 - Apply algebraic methods in solving problems
NZQA Info
Mathematics and Statistics 2.7 - Apply calculus methods in solving problems
NZQA Info
Mathematics and Statistics 2.14 - Apply systems of equations in solving problems
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
Disclaimer
Course selection does not guarantee a course will be available or that you have approval to take a course. Final course confirmation is in January and depends on your final results and in rare cases, staff availability.
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