Mathematics Learning Area
YEAR 11 MATHEMATICS COURSES (D501)
Foundation of Mathematics
Prerequisites
Successful achievement of the following outcomes in Year 10 with teacher endorsement:
Level 4 Working Mathematically
Level 5 Space, Chance & Data
Level 5 (Aspects of Level 6) Number, Algebra, Measurement.
Outline
Foundations of Mathematics aims to equip students with some useful applied mathematical tools, and to foster an ability to solve problems and carry out mathematical investigations. It is intended for students who wish to study mathematics and who may be preparing for entry to tertiary courses which have little or no formal mathematical requirement. Students who successfully complete Foundations of Mathematics can study Discrete Mathematics in Year 12.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
4-5 |
25% |
| Examinations |
2 |
50% |
| Extended Pieces of Work |
4 |
25% |
Geometry and Trigonometry D503 TEE Sugject 2006/2007
Prerequisites
Successful achievement of the following outcomes in Year 10 with teacher endorsement.
Level 5: Working Mathematically, Chance, Date (Aspects of Level 6)
Level 6: Number, Space, Measurement, Algebra.
Recommendations for Geometry and Trigonometry will also take into consideration demonstrations of Level 7 understanding in Algebra and Measurement.
Outline
Geometry and Trigonometry provides a consolidation and extension of algebraic, geometric and trigonometrical skills from the Years 8 – 10 course and an introduction to vector methods.
Students need to successfully complete Geometry and Trigonometry (together with Introductory Calculus) before proceeding to the Year 12 Calculus course.
Geometry and Trigonometry provides a strong mathematical preparation for tertiary studies in the mathematics, science and engineering fields.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
4 |
20% |
| Examinations |
2 |
55% |
| Extended Pieces of Work |
4 |
25% |
Introductory Calculus D505 TEE Subject 2006/2007
Prerequisites
Successful achievement of the following outcomes in Year 10 with teacher endorsement.
Level 5: Working Mathematically,Chance & Data (Aspects of Level 6)Level 6: Space, Measurement, Number, Algebra
Recommendations for Introductory Calculus will also take into consideration demonstrations on Level 7 understanding in Number
Outline
Introductory Calculus builds on students understanding of equations and functions to provide an introduction to the derivative and the integral and their uses. These tools can be used to solve many problems in economics, medicine, management practices, and the sciences.
Students who successfully complete Introductory Calculus can proceed to the following Year 12 courses:
- Applicable Mathematics
- Calculus (if the student has successfully completed Yr 11 Geometry & Trigonometry as well as Introductory Calculus)
Introductory Calculus will be of great value to students proceeding to tertiary studies in courses which make some use of Calculus, even if those students do not take the Year 12 Calculus course.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
4 |
20% |
| Examinations |
2 |
55% |
| Extended Pieces of Work |
4 |
25% |
Mathematics in Practice D510 WSA Subject 2006/2007
Prerequisites
Successful achievement of the following outcomes in Year 10 with teacher endorsement:
Level 3: Working Mathematically
Level 4: Number, Measurement, Space, Chance & Data, Algebra.
Outline
Mathematics in Practice is designed to provide students with the skills to apply mathematics in workplace situations and in their everyday lives. The four topics covered are Budgeting and Credit, In Two Dimensions, Chance and Outdoor Mathematics. Students learn to develop a mathematical model to represent a situation, use mathematics to solve the problem, interpret and check the solution and communicate the results. Students will use calculators and computers in this course.
Successful completion of Mathematics in Practice provides background for Modelling with Mathematics in Year 12.
Assessment
In each of the four topics, students will complete two projects and and one test. Each project is assesses on the following outcomes:
Outcome 1: Clarifies a problem
Outcome 2: Chooses a model to solve a problem
Outcome 3: Uses a model to solve a problem
Outcome 4: Interprets and checks the solution to a problem
Outcome 5: Communicates an obtained result
Tests assess Outcomes 1 - 4 only
YEAR 12 MATHEMATICS COURSES
NOTE:
- Applicable Mathematics, Calculus and Discrete Mathematics may be used for Tertiary Entrance.
- The only permitted double course is Applicable Mathematics and Calculus.
- Modelling with Mathematics is wholly school assessed and may not be used for Tertiary Entrance.
Applicable Mathematics (TEE Subject) (E504)
Prerequisites
Successful completion of Introductory Calculus. (High C grade or better ie a final course mark of at least 60%)
Outline
Applicable Mathematics features the solution of equations using matrix, graphical and numerical techniques, together with work on statistics and probability. The section on probability provides the framework for future studies of statistical inference.
Applicable Mathematics is a Tertiary Entrance Score course and it will be invaluable for those students proceeding to tertiary studies in courses where skill in statistical techniques, or the solution of equations, is essential.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
3-4 |
20% |
| Examinations |
2 |
55% |
| Extended Pieces of Work |
4 |
25% |
Calculus (TEE Subject) (E506)
Prerequisites
Successful completion of both Introductory Calculus and Geometry and Trigonometry. (High C grade or better in both ie a final course mark of at least 60%).
Outline
Calculus is a Tertiary Entrance Score course and it will be invaluable to those students proceeding to tertiary studies in the mathematics, science or engineering fields.
Calculus extends the theory and techniques of differential and integral calculus first studied in Introductory Calculus and combines them with the trigonometric and vector methods of Geometry and Trigonometry.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
4 |
20% |
| Examinations |
2 |
55% |
| Extended Pieces of Work |
4 |
25% |
Discrete Mathematics (TEE Subject) (E502)
Prerequisites
Successful completion of Foundation of Mathematics (High C or better ie a final course mark of at least 60%) or Introductory Calculus. (C grade or better).
Outline
Discrete Mathematics aims to equip students with some useful applied mathematical tools, and to foster an ability to solve problems and carry out mathematical investigations. These skills should prove to be highly useful to students after they leave school.
Discrete Mathematics may be taken concurrently with Introductory Calculus.
Discrete Mathematics is a Tertiary Entrance Score subject and is intended for students who wish to study mathematics in Year 12 and who may be preparing for entry to tertiary courses which have little or no formal mathematical requirement.
Assessment
| Item |
Expected No. |
Total % |
| Major tests |
4 |
20% |
| Examinations |
2 |
55% |
| Extended Pieces of Work |
4 |
25% |
Modelling with Mathematics (WSA / Non-TEE Subject) (E511)
Prerequisites
Successful completion of Mathematics in Practice. (C grade or better) or completion of Foundations of Mathematics.
Outline
Mathematical modelling involves students using mathematics to represent real situations or problems. Students will develop the modelling process introduced in Mathematics In Practice in three topics chosen from Finance, In Three Dimensions, Making Decisions and Environment. Calculators and computers will be used in this course.
Assessment
In each of the three topics students will complete two projects and one test. Each project is assesses the following outcomes:
Outcome 1: Clarifies a problem
Outcome 2: Chooses a model to solve a problem
Outcome 3: Uses a model to solve a problem
Outcome 4: Interprets and checks the solution to a problem
Outcome 5: Communicates an obtained result
Tests assess outcomes 1 - 4 only.