STAGE 2 MATHEMATICS
ESSENTIAL MATHEMATICS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Stage 1 Essential Mathematics.
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
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Stage 1 Essential Mathematics.
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)
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, matrices, statistics, finance, and optimization.
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.
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, matrices, statistics, finance, and optimization.
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.
MATHEMATICAL METHODS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (C+ or better) in Stage One 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
Students who complete this subject with a C– or better will meet the numeracy requirement of the SACE.
Content
Assessment Components
Additional Information
Graphics calculator required.
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (C+ or better) in Stage One 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
Students who complete this subject with a C– or better will meet the numeracy requirement of the SACE.
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
Graphics calculator required.
SPECIALIST MATHEMATICS
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (B or better) in Stage One Mathematics Methods 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.
Students who complete this subject with a C grade or better will meet the numeracy requirement of the SACE.
Stage 2 Specialist Mathematics is a 20-credit subject.
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.
Specialist Mathematics topics provide different scenarios for incorporating mathematical arguments, proofs, and problem-solving.
Content
Assessment Components
FULL YEAR COURSE - 20 CREDITS
Assumed Knowledge
Good grades (B or better) in Stage One Mathematics Methods 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.
Students who complete this subject with a C grade or better will meet the numeracy requirement of the SACE.
Stage 2 Specialist Mathematics is a 20-credit subject.
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.
Specialist Mathematics topics provide different scenarios for incorporating mathematical arguments, proofs, and problem-solving.
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