Mathematics – Stage 2

Staff contact

Chris Jantke cjantke@navigator.sa.edu.au

 

SACE Credits/Course Length

Each course attracts 20 credits (Full year).

 

Senior School pathways in Mathematics

Senior School pathways in Mathematics

 

Stage 2 General Mathematics

 

Assumed knowledge or Required/recommended background

Successful completion of 20 Credits of Stage 1 mathematics made up of either:

  • 20 Credits of Stage 1 General Mathematics
    OR
  • 10 Credits of Stage 1 Mathematics and 10 Credits of Stage 1 General Mathematics

 

Course outline

General Mathematics extends students’ mathematical skills in ways that apply to practical problem-solving. A problem-based approach is integral to the development of mathematical models and the associated key concepts in the topics. These topics cover a diverse range of applications of mathematics, including personal financial management, the statistical investigation process, modelling using linear and non-linear functions, and discrete modelling using networks and matrices.

Successful completion of this subject at Stage 2 prepares students for entry to tertiary courses requiring a non-specialised background in mathematics.

 

Course content

Stage 2 General Mathematics consists of the following six topics:

Topic 1. Modelling with Linear Relationships

Topic 2. Modelling with Matrices

Topic 3. Statistical Models

Topic 4. Financial Models

Topic 5. Discrete Models

Topic 6. Open Topic

Students study five topics from the list of six topics above. All students must study topics 1, 3, 4, and 5.

 

Assessment

The following assessment types enable students to demonstrate their learning in Stage 2 General Mathematics:

School Assessment (70%)

  • Assessment Type 1: Skills and Applications Tasks (40%)
  • Assessment Type 2: Mathematical Investigations (30%)

External Assessment (30%)

  • Assessment Type 3: Examination (30%)

Students provide evidence of their learning through eight assessments, including the external assessment component. Students undertake:

  • five skills and applications tasks
  • two mathematical investigations
  • one examination.

 

Any other subject specific information

The course is designed for students who wish to achieve an ATAR for entry into a tertiary institution, but do not wish to study mathematics at tertiary level.

 

Stage 2 Mathematical Methods

 

Assumed knowledge or Required/recommended background

Successful completion of 20 Credits of Stage 1 mathematics made up of either:

  • 20 Credits of Stage 1 General Mathematics
    OR
  • 10 Credits of Stage 1 Mathematics and 10 Credits of Stage 1 General Mathematics

 

Course outline

Stage 2 Mathematical Methods focuses on the development of mathematical skills and techniques that enable students to explore, describe, and explain aspects of the world around them in a mathematical way. It places mathematics in relevant contexts and deals with relevant phenomena from the students’ common experiences, as well as from scientific, professional, and social contexts.

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.

 

Course content

Stage 2 Mathematical Methods consists of the following six topics:

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.

 

Assessment

The following assessment types enable students to demonstrate their learning in Stage 2 Mathematical Methods.

School Assessment (70%)

  • Assessment Type 1: Skills and Applications Tasks (50%)
  • Assessment Type 2: Mathematical Investigation (20%)

External Assessment (30%)

  • Assessment Type 3: Examination (30%)

Students provide evidence of their learning through eight assessments, including the external assessment component. Students undertake:

  • six skills and applications tasks
  • one mathematical investigation
  • one examination.

 

Any other subject specific information

This course is designed for students who may wish to pursue tertiary 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.

 

Stage 2 Specialist Mathematics

 

 

Assumed knowledge or Required/recommended background

Successful completion of at least 30 Credits of Stage 1 Mathematics:

  • 20 Credits of Stage 1 Mathematics
    and
  • at least 10 Credits of Stage 1 Specialist Mathematics

 

Course outline

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.

This subject can be a pathway to engineering, astronomy, physical sciences, and laser physics.

 

Course content

Stage 2 Specialist Mathematics consists of the following six topics:

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.

 

Assessment:

The following assessment types enable students to demonstrate their learning in Stage 2 Specialist Mathematics.

School Assessment (70%)

  • Assessment Type 1: Skills and Applications Tasks (50%)
  • Assessment Type 2: Mathematical Investigation (20%)

External Assessment (30%)

  • Assessment Type 3: Examination (30%)

Students provide evidence of their learning through eight assessments, including the external assessment component. Students complete:

  • six skills and applications tasks
  • one mathematical investigation
  • one examination.

 

Any other subject specific information:

The subject leads to study in a range of tertiary courses such as mathematical sciences, engineering, computer science, and physical sciences. Students envisaging careers in related fields will benefit from studying this subject.

Specialist Mathematics is designed to be studied in conjunction with Mathematical Methods and cannot be attempted without studying that subject.