Rationale
Learning mathematics creates opportunities for and enriches the lives of all Australians. The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in number and algebra, measurement and geometry, and statistics and probability.Aims
The Australian Curriculum: Mathematics aims to ensure that students:are confident, creative users and communicators of mathematics, able to investigate, represent and interpret situations in their personal and work lives and as active citizens.
Key ideas
In Mathematics, the key ideas are the proficiency strands of understanding, fluency, problem-solving and reasoning. The proficiency strands describe the actions in which students can engage when learning and using the content.Structure
The Australian Curriculum: Mathematics is organised around the interaction of three content strands and four proficiency strands.The content strands are number and algebra, measurement and geometry, and statistics and probability. They describe what is to be taught and learnt.
PDF documents
Resources and support materials for the Australian Curriculum: Mathematics are available as PDF documents.Mathematics: Sequence of content
Mathematics: Sequence of achievement
Glossary
Year 7
Year 7 Level Description
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. 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. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes describing patterns in uses of indices with whole numbers, recognising equivalences between fractions, decimals, percentages and ratios, plotting points on the Cartesian plane, identifying angles formed by a transversal crossing a pair of lines, and connecting the laws and properties of numbers to algebraic terms and expressions
- fluency includes calculating accurately with integers, representing fractions and decimals in various ways, investigating best buys, finding measures of central tendency and calculating areas of shapes and volumes of prisms
- problem-solving includes formulating and solving authentic problems using numbers and measurements, working with transformations and identifying symmetry, calculating angles and interpreting sets of data collected through chance experiments
- reasoning includes applying the number laws to calculations, applying known geometric facts to draw conclusions about shapes, applying an understanding of ratio and interpreting data displays.
Year 7 Content Descriptions
Number and place value
Investigate index notation and represent whole numbers as products of powers of prime numbers
(ACMNA149 - Scootle
)
Apply the associative, commutative and distributive laws to aid mental and written computation
(ACMNA151 - Scootle
)
Compare, order, add and subtract integers
(ACMNA280 - Scootle
)
Real numbers
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line
(ACMNA152 - Scootle
)
Solve problems involving addition and subtraction of fractions, including those with unrelated denominators
(ACMNA153 - Scootle
)
Multiply and divide fractions and decimals using efficient written strategies and digital technologies
(ACMNA154 - Scootle
)
Express one quantity as a fraction of another, with and without the use of digital technologies
(ACMNA155 - Scootle
)
Round decimals to a specified number of decimal places
(ACMNA156 - Scootle
)
Connect fractions, decimals and percentages and carry out simple conversions
(ACMNA157 - Scootle
)
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.
(ACMNA158 - Scootle
)
Recognise and solve problems involving simple ratios
(ACMNA173 - Scootle
)
Money and financial mathematics
Investigate and calculate 'best buys', with and without digital technologies
(ACMNA174 - Scootle
)
Patterns and algebra
Introduce the concept of variables as a way of representing numbers using letters
(ACMNA175 - Scootle
)
Create algebraic expressions and evaluate them by substituting a given value for each variable
(ACMNA176 - Scootle
)
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
(ACMNA177 - Scootle
)
Linear and non-linear relationships
Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
(ACMNA178 - Scootle
)
Solve simple linear equations
(ACMNA179 - Scootle
)
Investigate, interpret and analyse graphs from authentic data
(ACMNA180 - Scootle
)