Westlake Boys High School
Level 2 Mathematics with Calculus
Course Description
Teacher in Charge: Mrs S. Steyn, Mrs C. Gouws.
Level 2 Mathematics with Calculus
Students develop their ability to think logically, apply skills, work with Algebra in various 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 and how to put these skills into context and extend their thinking to achieve Merit and Excellence levels.
To attain subject endorsement, students need to achieve at least 14 credits at the required achievement level, with at least 3 of these credits coming from the External standards and at least 3 from the Internally Assessed standards.
This course best suits students with strengths in Algebra and Graphing functions. It leads to level 3 Calculus and is suitable for students interested in Engineering, Bio-Med, software development and other fields involving critical thinking, problem-solving and advanced mathematical skills.
FAQs:
Q: What does Calculus mean?
A: Calculus is the mathematical study of continuous change. It has two major branches, differential calculus and integral calculus: the former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns the accumulation of quantities and areas under or between curves. Calculus has widespread uses in science, engineering, and social science. This course requires high-level algebra skills.
Q: What practical life skills would I take away from the course?
A: Other than the course content, you'll take away good problem-solving and abstract thinking skills, and you can apply them in your future life.
Q: What kind of university and career would I get?
A: 12MAC could lead to most of the year 13 maths courses, which is helpful for any university and career. It is most useful if you want to study subjects that require Calculus, such as Engineering, Medical and Health, Software development and Science.
Q: What is the difference between 12MAS and 12MAC?
A: 12MAS is Mathematics with Statistics which studies Achievement Standards in Experiments, Networks, Simulations, Inferences, Questionnaires and Probability. It takes students to a different branch of Mathematics suited to students with strength in analysis and report writing.
Q: Can I choose both 12MAC and 12MAS?
A: Yes, you can as long as you meet the requirements of both courses.
Course Overview
Term 1
Students will study Level 2 Trigonometry Internal (AS91259, 3 credits) and Level 2 Algebra External (AS91261, 4 credits).
Students need to apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions in Trigonometry.
For Algebra, students need to learn to manipulate rational, exponential, and logarithmic algebraic expressions. Students also need to form and use linear, exponential, and quadratic equations.
Term 2
Students will study Level 2 Graphs Internal (AS91257, 4 credits) and Level 2 Calculus External (AS91262, 5 credits).
In Graphs, students need to learn to display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs. They also need to form and use linear and non-linear equations.
Students need to learn to apply differentiation and anti-differentiation techniques to polynomials and sketch the graphs of functions and their gradient functions and describe the relationship between these graphs.
Term 3
Students will study Level 2 System of Equations (AS91269, 2 credits) and prepare for their End of Year Exams.
In System of Equations, students will learn to form and use linear, quadratic and pairs of simultaneous equations.
Students will start revision for Algebra and Calculus Externals.
Term 4
Students will revise for their Algebra and Calculus Externals.
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
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 2.4 - Apply trigonometric relationships 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
Pathway Tags
engineering, software development, science, economics, medical,
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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