Curriculum

# Mathematics

## Overview

Mathematics provides students with access to important mathematical ideas, knowledge and skills that they will draw on in their personal and work lives.

Mathematics proficiency strands of Understanding, Fluency, Problem-Solving, and Reasoning provide the language to build development in the content strands of Number and Algebra, Measurement and Geometry, Statistics, and Probability.

## Key Study Areas

Students will be introduced to the following subject areas: Number and algebra, real numbers, money and financial mathematics, patterns and algebra, linear and non-linear relationships, measurement and geometry, using units of measurement, geometric reasoning, statistics and probability, chance, data representation and interpretation.

In addition to the areas of study listed above, in year 8 students will also investigate: Number and algebra, number and place value, measurement and geometry, shape, location and transformation.

In addition to the areas of study from years 7 and 8, students in year 9 will also investigate: Number and algebra, number and place value, measurement and geometry, Pythagoras theorem.

In addition to the areas of study carried out previously, students in year 10 will also investigate: Measurements, geometry, and trigonometry.

Foundation Mathematics provides for the continuing mathematical development of students entering VCE who need mathematical skills to support their other subjects, including VET studies, and who do not intend to undertake further mathematical studies. In Foundation Mathematics there is a strong emphasis on using mathematics in practical contexts relating to everyday life in the community, at work and at study. Students are encouraged to use appropriate technology in all areas of their study. These units will be especially useful for students undertaking VET studies.

Students, when completing this unit, are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, data sets, tables and matrices, algebraic manipulation, equations and graphs with and without the use of technology. They should have facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, symbolic, financial and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is incorporated throughout each unit.

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, graphs, differentiation, anti-differentiation, integration and inference with and without the use of technology. They should have facility with relevant mental and by-hand approaches to estimation and computation.

## Subjects

- Foundation Mathematics
- General Mathematics
- Advanced Mathematics
- Mathematical Methods
- Specialist Mathematics
- Further Mathematics

In Foundation Mathematics there is a strong emphasis on using mathematics in practical contexts relating to everyday life, recreation, work and study. Students are encouraged to use appropriate technology in all areas of their study. These units will be especially useful for students undertaking VET studies.

Students, when completing this unit, are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, data sets, tables and matrices, algebraic manipulation, equations and graphs with and without the use of technology. They should have facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, symbolic, financial and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is incorporated throughout each unit.

The proficiency strands Understanding, Fluency, Problem Solving and Reasoning are an integral part of mathematics content across the three content strands. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics.

In undertaking this unit, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, graphs and probability with and without the use of technology. They should have facility with relevant mental and by-hand approaches to estimation and computation.

Specialist Mathematics provides a course of study for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem solving and reasoning. This study has a focus on interest in the discipline of mathematics in its own right and investigation of a broad range of applications, as well as development of a sound background for further studies in mathematics and mathematics related fields.

Unit 3: A compulsory core area of study which comprises of ‘Data Analysis’ and ‘Recursion and Financial Modelling’. ‘Data Analysis’ comprises 40 per cent of the content to be covered, ‘Recursion and Financial Modelling’ comprises 20 per cent of the content to be covered.

Unit 4: The Applications area of study comprises two modules to be completed in their entirety, from a selection of four possible modules: ‘Matrices’, ‘Networks and decision mathematics’, ‘Geometry and measurement’ and ‘Graphs and relations’.