STAGE 2 MATHEMATICS
ESSENTIAL MATHEMATICS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Stage 1 General Mathematics A or B (preferably both)
Course Description
This subject allows students to extend their mathematical skills on ways that apply to practical problem solving in every day and workplace contexts. A problem -based approach is integral to the development of mathematical skills and associated key ideas in this subject.
Content
Assessment Components
Additional Information
A Casio Graphics calculator is required.
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Stage 1 General Mathematics A or B (preferably both)
Course Description
This subject allows students to extend their mathematical skills on ways that apply to practical problem solving in every day and workplace contexts. A problem -based approach is integral to the development of mathematical skills and associated key ideas in this subject.
Content
- Topic 1: Scales, Planes & Models
- Topic 2: Measurement
- Topic 3: Business Applications
- Topic 4: Statistics
- Topic 5: Investments & Loans
- Mid-Year Internal Examination
Assessment Components
- 30% Skills and Assessment Tasks
- 40% Investigations – Folio
- 30% End of Year Examination (on Topics 2, 4 and 5)
Additional Information
A Casio Graphics calculator is required.
GENERAL MATHEMATICS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Sound passes in either Stage 1 Mathematics Methods or General Mathematics, and good study habits.
Course Description
Stage 2 General Mathematics offers students the opportunity to develop a strong understanding of the process of mathematical modelling and its application to problem-solving in everyday workplace contexts
A problem-based approach is integral to the development of both the models and the associated key concepts in the topics. These topics cover a range of mathematical applications, including linear functions, statistics, finance, and optimisation.
Content
Assessment Components
Additional Information
Students studying Stage 1 Mathematics Methods who do not meet the pre-requisite standard of work for Stage 2 Mathematical Methods or Specialist Mathematics may enrol in Stage 2 General Mathematics provided a reasonable attempt has been made in assessment pieces throughout the Stage 1 Mathematics Methods units.
A Casio Graphics calculator is required.
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Sound passes in either Stage 1 Mathematics Methods or General Mathematics, and good study habits.
Course Description
Stage 2 General Mathematics offers students the opportunity to develop a strong understanding of the process of mathematical modelling and its application to problem-solving in everyday workplace contexts
A problem-based approach is integral to the development of both the models and the associated key concepts in the topics. These topics cover a range of mathematical applications, including linear functions, statistics, finance, and optimisation.
Content
- Topic 1. Modelling with Linear Relationships
- Topic 2. Statistical Models
- Topic 3. Financial Models
- Topic 4. Discrete Models
- Topic 5. Open Topic Small Business Management
- Mid-Year Internal Examination
Assessment Components
- 40% Skills & Application Tasks (5 tests)
- 30% Investigations (2 Investigation)
- 30% End of Year Examination (on Topics 2, 3 & 4)
Additional Information
Students studying Stage 1 Mathematics Methods who do not meet the pre-requisite standard of work for Stage 2 Mathematical Methods or Specialist Mathematics may enrol in Stage 2 General Mathematics provided a reasonable attempt has been made in assessment pieces throughout the Stage 1 Mathematics Methods units.
A Casio Graphics calculator is required.
MATHEMATICAL METHODS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (C+ or better) in Stage 1 Mathematics Methods A, B & C and good study habits.
Course Description
Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.
Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences. When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics
Content
Assessment Components
Additional Information
A Casio Graphics calculator is required.
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (C+ or better) in Stage 1 Mathematics Methods A, B & C and good study habits.
Course Description
Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.
Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences. When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics
Content
- Topic 1: Further Differentiation and Applications
- Topic 2: Discrete Random Variables
- Topic 3: Integral Calculus
- Topic 4: Logarithmic Functions
- Topic 5: Continuous Random Variables and the Normal Distribution
- Topic 6: Sampling and Confidence Intervals Statistics
- Mid-Year Internal Examination
Assessment Components
- 50% Skills & Application Tasks (6 Tests)
- 20% Investigations Folio (1 Investigation)
- 30% End of Year Examination
Additional Information
A Casio Graphics calculator is required.
SPECIALIST MATHEMATICS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (B or better) in Stage 1 Specialist Mathematics D and good study habits.
Course Description
Specialist Mathematics draws on and deepens students' mathematical knowledge, skills, and understanding, and provides opportunities for students to develop their skills in using rigorous mathematical arguments and proofs, and using mathematical models. It includes the study of functions and calculus. The subject leads to study in a range of tertiary courses such as mathematical sciences, engineering, computer science, and physical sciences.
The topics in Stage 2 extend students’ mathematical experience and their mathematical flexibility and versatility, in particular, in the areas of complex numbers and vectors. The general theory of functions, differential equations, and dynamic systems provides opportunities to analyse the consequences of more complex laws of interaction.
Content
Assessment Components
Additional Information
A Casio Graphics calculator is required.
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (B or better) in Stage 1 Specialist Mathematics D and good study habits.
Course Description
Specialist Mathematics draws on and deepens students' mathematical knowledge, skills, and understanding, and provides opportunities for students to develop their skills in using rigorous mathematical arguments and proofs, and using mathematical models. It includes the study of functions and calculus. The subject leads to study in a range of tertiary courses such as mathematical sciences, engineering, computer science, and physical sciences.
The topics in Stage 2 extend students’ mathematical experience and their mathematical flexibility and versatility, in particular, in the areas of complex numbers and vectors. The general theory of functions, differential equations, and dynamic systems provides opportunities to analyse the consequences of more complex laws of interaction.
Content
- Topic 1: Mathematical Induction
- Topic 2: Complex Numbers
- Topic 3: Functions and Sketching Graphs
- Topic 4: Vectors in Three Dimensions
- Topic 5: Integration Techniques and Applications
- Topic 6: Rates of Change and Differential Equations
- Mid-Year Internal Examination
Assessment Components
- 50% Skills & Application Tasks (6 tests)
- 20% Investigations Folio (1 Investigation)
- 30% End of Year Examination
Additional Information
A Casio Graphics calculator is required.