Intermediate Mathematics

At Nossal in Year 9, we follow the new Australian Curriculum in Mathematics which provides students with mathematical skills and knowledge in Number and Algebra, Measurement and Geometry, Statistics and Probability. We develop the numeracy capabilities that assist students in everyday life and prepare them for further study.

Mathematics at Nossal is taught in innovative and fun ways. In order to cater for individual learning, each lesson begins with an entry question designed to ascertain student’s needs. Depending on how a student performs in this question, they will then be allocated a task which addresses their need.

A student who experiences some form of difficulty will attend a “workshop”, an intensive session designed to improve the skills in that area.

A student who has experienced success will then attempt questions either at the Year 9 or Year 10 level, depending on their level of competence in the topic.

In this way students are able to learn at their own pace. Formative assessment is achieved for with the use of the entry question and a growth mindset is encouraged as students are aware that they are not stuck in the low group and understand that there is an expectation of improvement.

 

The topics covered in Intermediate Mathematics are:

Year 9 Semester 1

·         Statistics

·         Measurement (Perimeters, Areas,        Volumes)

·         Linear Relations

·         Linear Algebra

 

Year 10 Semester 1

·         Geometry

·         Indices and Surds (Revision)

·         Logs and Exponential

·         Trigonometry and Unit Circle

 

Year 9 Semester 2

·         Indices and Surds

·         Pythagoras Theorem and Trigonometry

·         Algebra Techniques (Quadratics)

 

Year 10 Semester 2

·         Linear and Quadratics Equations and       Simultaneous Equations

·         Graphs (Parabolas, Truncus, Hyperbola etc)

·         Probability

·         Polynomials

 

Students are provided with a variety of learning tools so they are able to develop mathematical skills, problem solving and analysis.

In Year 9 students use scientific calculators, whilst in Year 10 students are expected to use a CAS calculator. The chosen CAS calculator is the Casio Classpad.

Once students have completed Intermediate Mathematics they are well prepared to undertake a variety of VCE Mathematics subjects.

General Maths Unit 1 & 2
General Maths prepares students who intend on taking Further Mathematics. The units of work include Data Analysis and Simulation, Arithmetic, Algebra, Geometry, Trigonometry, Linear Graphs and Matrices.

Students who study General Maths are able to define and explain key concepts in relation to the topics covered and apply a range of mathematical routines and procedures.

Students use computer algebra system (CAS) technology to support and develop the learning of mathematics.

Mathematical Methods Unit 1 & 2
Mathematical Methods (CAS) Units 1 and 2 are designed as preparation for Mathematical Methods (CAS) Units 3 and 4. The topics covered in Maths Methods Units 1 and 2 are: Functions including Linear, Quadratic, Exponential, Logarithmic and Circular, Rates of Change, Calculus and Probability. Students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, algebraic manipulation, equation solving, graph sketching, differentiation and integration with and without the use of technology, as applicable.

Students use computer algebra system (CAS) technology to produce results and carry out analysis in situations requiring problem-solving and investigative techniques.

Specialist Maths 1 & 2
Specialist Maths 1 & 2 prepares students who intend on taking Specialist Mathematics units 3 & 4. The units of work include: Rational Number Systems, Complex Numbers, Non-linear Relations, Kinematics, Vectors and Trigonometric Ratios.

Students are able to apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics.

Students are assessed in a variety of ways including assignments, tests, projects, short written responses and problem solving tasks.

Further Mathematics Units 3 & 4

Further Mathematics provides a general preparation for employment or further study, in particular, where data analysis is important. The assumed knowledge and skills for Further Mathematics are drawn from General Mathematics (Further).

Topics include a core area of study ‘Data Analysis’ and three modules: Geometry and Trigonometry, Graphs and Relations, and Matrices and Applications.

Students learn to select and use technology to develop mathematical ideas, produce results and carry out analysis in situation requiring modelling techniques.

Mathematical Methods Unit 3 & 4
Maths Methods provides a background for further study in areas such as science, humanities, economics or medicine. The units of work covered in Maths Methods include: Functions and Graphs, Algebra, Calculus and Probability.

The first area of study covers the behaviour of functions, including key features of graphs, domain and range and asymptotic behaviour. The area of Algebra covers composite functions, inverse functions and solutions of equations. The study of calculus covers limits, differentiation, anti-differentiation and integration. The last area of study includes the study of discrete and continuous random variables, probability density functions and calculation and interpretation of central measures and measure of spread.

Specialist Mathematics
Specialist Mathematics is taken in conjunction with Mathematical Methods Units 3 & 4. The areas of study extend and develop material from Mathematical Methods and are intended for those with strong interests in mathematics and those who wish to further study mathematics and related disciplines.

The topics covered include: functions relations and their graphs, complex numbers, circular functions, differential and integral calculus, differential equations, vectors, vector calculus, kinematics and mechanics.

Students are required to use a CAS calculator to determine the domain and range requirements of graphs, role of parameters in specifying general forms of symbolic expressions and appropriate use of technology in a variety of mathematical contexts.

Mathematics Enrichment and Enhancement

The Mathematics department also run a number of programs and activities for students who have special interest or ability in Maths. These includes:

  • Maths Whiz (semester long program in Year 9)
  • The Australian Informatics Competition (test for computer programing potential)
  • The University of Melbourne School Mathematics Competition
  • Mathematics Challenge For Young Australian – Challenge Stage (3 week program)
  • Mathematics Challenge For Young Australian – Enrichment Stage (6 month program)
  • The Australian Mathematics Competition
  • The UNSW ICAS Maths Test
  • The Intermediate Mathematical Olympiad
  • The Australian Mathematical Olympiad

 

Cooperative Adult Learning Environment – Maths Peer Coaching Program

At Nossal, we practice and promote cooperative learning in an adult environment.  Students are encouraged to discuss and help each other in their educational journey. There is a group of students who have come together to formalise this.

This quite large group of students have volunteered to be in the Maths Peer Coaching Program. This is one of the very best things about being a part of the Nossal community. It is a source of immense pride to see so many students committed to the notion of lending a hand when there is no apparent reward.

These students are then divided up into groups and a roster is set up to offer tuition to fellow students. The students requiring help then sign up for sessions, which are held on most lunchtimes.

 

For more information about Mathematics at Nossal High School, contact Mr Ian Pegram (Head of Maths) via email: Ian.Pegram@nossalhs.vic.edu.au