Mathematics – Stage 1

Students may study either Stage 1 Essential Mathematics, Stage 1 General Mathematics, Stage 1 Mathematics or Stage 1 Specialist Mathematics depending on ability and achievement.  Please contact the appropriate staff member to discuss which course is most suited.

 

Staff Contact

Chris Jantke cjantke@navigator.sa.edu.au

 

SACE Credits/Course Length

Each course attracts 10 credits (20 Weeks or 1 Semester) and, depending on numbers, can be studied in each semester for a total of 20 credits.

 

Senior School pathways in Mathematics

Senior School pathways in Mathematics

 

Stage 1 Essential Mathematics

 

Assumed knowledge or Required/recommended background:

Successful completion of either of the Year 10 Mathematics courses is required.

 

Course outline:

Essential Mathematics offers senior secondary students the opportunity to extend their mathematical skills in ways that apply to practical problem-solving in everyday and workplace contexts. Students apply their mathematics to diverse settings, including everyday calculations, financial management, business applications, measurement and geometry, and statistics in social contexts.

In Essential Mathematics there is an emphasis on developing students’ computational skills and expanding their ability to apply their mathematical skills in flexible and resourceful ways.

This subject is intended for students planning to pursue a career in a range of trades or vocations.

 

Course content:

Stage 1 Essential Mathematics consists of the following topics:

Topic 1: Calculations, Time, and Ratio

Topic 2: Earning and Spending

Topic 3: Geometry

Topic 4: Data in Context

Topic 5: Measurement

Topic 6: Investing

3 Topics are studied in each semester.

 

Assessment:

The following assessment types enable students to demonstrate their learning in Stage 1 Essential Mathematics:

  • Assessment Type 1: Skills and Applications Tasks (tests)
  • Assessment Type 2: Folio (guided investigations)

For a 10-credit subject, students provide evidence of their learning through four assessments. Each assessment type should have a weighting of at least 20%.

Students undertake:

  • at least two skills and applications tasks
  • at least one folio task.

 

Any other subject specific information:

Students can pursue Stage 2 Essential Mathematics upon successful completion of this subject.

Students wishing to achieve an ATAR at the completion of Year 12 should not select this subject.

 

Stage 1 General Mathematics

 

Assumed knowledge or Required/recommended background:

Successful completion of either the Year 10 Mathematics (General) course or the Year 10 Mathematics (Standard and Extension) course is required.

 

Course outline:

Students extend their mathematical skills in ways that apply to practical problem-solving and mathematical modelling in everyday contexts. A problem-based approach is integral to the development of mathematical skills and the associated key ideas in this subject.

In this subject, there is an emphasis on consolidating students’ computational and algebraic skills and expanding their ability to reason and analyse

 

Course content:

Stage 1 General Mathematics consists of the following topics:

Topic 1: Investing and Borrowing

Topic 2: Measurement

Topic 3: Statistical Investigation

Topic 4: Applications of Trigonometry

Topic 5: Linear and Exponential Functions and their Graphs

Topic 6: Matrices and Networks

3 Topics are studied in each semester.

 

Assessment:

The following assessment types enable students to demonstrate their learning in Stage 1 General Mathematics:

  • Assessment Type 1: Skills and Applications Tasks (tests)
  • Assessment Type 2: Folio (guided investigations)

For a 10-credit subject, students provide evidence of their learning through four assessments. Each assessment type should have a weighting of at least 20%.

Students undertake:

  • at least two skills and applications tasks
  • at least one folio task.

 

Any other subject specific information:

Students can pursue Stage 2 Essential Mathematics or Stage 2 General Mathematics upon completion of this subject.

 

Stage 1 Mathematics

 

Assumed knowledge or Required/recommended background:

Successful completion of the Year 10 Mathematics (Standard and Extension) course is required.

 

Course outline:

Mathematics develops an increasingly complex and sophisticated understanding of calculus, statistics, mathematical arguments, and proofs, and using mathematical models. By using functions, 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.

 

Course content:

Stage 1 Mathematics consists of the following topics:

Topic 1: Functions and Graphs

Topic 2: Polynomials

Topic 3: Trigonometry

Topic 4: Counting and Statistics

Topic 5: Growth and Decay

Topic 6: Introduction to Differential Calculus

3 Topics are studied in each semester.

 

Assessment:

The following assessment types enable students to demonstrate their learning in Stage 1 Mathematics:

  • Assessment Type 1: Skills and Applications Tasks (tests)
  • Assessment Type 2: Folio (guided investigations)

For a 10-credit subject, students provide evidence of their learning through four assessments. Each assessment type should have a weighting of at least 20%.

Students undertake:

  • at least two skills and applications tasks
  • at least one folio task.

 

Any other subject specific information:

Stage 1 Mathematics provides the foundation for further study in mathematics in Stage 2 Mathematical Methods and Stage 2 Specialist Mathematics. Students can also opt to pursue either General Mathematics or Essential Mathematics at Stage 2.

 

Stage 1 Specialist Mathematics

 

Assumed knowledge or Required/recommended background:

Successful completion of the Year 10 Mathematics (Standard and Extension) course is required. A high level of achievement is recommended.

 

Course outline:

Stage 1 Specialist Mathematics is offered as a 10-credit subject at Stage 1. If there is sufficient demand students may undertake 2 semesters thereby achieving 20-credits.

At least 10 credits of Stage 1 Specialist Mathematics is a pre-requisite for Stage 2 Specialist Mathematics

Stage 2 Specialist Mathematics can be a pathway to mathematical sciences, engineering, space science, and laser physics. Specialist Mathematics is designed to be studied in conjunction with Mathematical Methods.

 

Course content:

Stage 1 Specialist Mathematics consists of the following topics:

Topic 1: Arithmetic and Geometric Sequences and Series

Topic 2: Geometry

Topic 3: Vectors in the Plane

Topic 4: Further Trigonometry

Topic 5: Matrices

Topic 6: Real and Complex Numbers.

3 Topics are studied in one semester.

 

Assessment:

The following assessment types enable students to demonstrate their learning in Stage 1 Specialist Mathematics:

  • Assessment Type 1: Skills and Applications Tasks (tests)
  • Assessment Type 2: Folio (guided investigations)

For a 10-credit subject, students provide evidence of their learning through four assessments. Each assessment type should have a weighting of at least 20%.

Students undertake:

  • at least two skills and applications tasks
  • at least one folio task.

 

Any other subject specific information:

Students wishing to pursue Stage 2 Specialist Mathematics must complete at least one semester of Stage 1 Specialist Mathematics.