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 6
Year 6 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 properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
- fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
- problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
- reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.
Year 6 Content Descriptions
Number and place value
Identify and describe properties of prime, composite, square and triangular numbers
(ACMNA122 - Scootle
)
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
(ACMNA123 - Scootle
)
Investigate everyday situations that use integers. Locate and represent these numbers on a number line
(ACMNA124 - Scootle
)
Fractions and decimals
Compare fractions with related denominators and locate and represent them on a number line
(ACMNA125 - Scootle
)
Solve problems involving addition and subtraction of fractions with the same or related denominators
(ACMNA126 - Scootle
)
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
(ACMNA127 - Scootle
)
Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers
(ACMNA128 - Scootle
)
Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
(ACMNA129 - Scootle
)
Multiply and divide decimals by powers of 10
(ACMNA130 - Scootle
)
Make connections between equivalent fractions, decimals and percentages
(ACMNA131 - Scootle
)
Money and financial mathematics
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies
(ACMNA132 - Scootle
)
Patterns and algebra
Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence
(ACMNA133 - Scootle
)
Explore the use of brackets and order of operations to write number sentences
(ACMNA134 - Scootle
)
Using units of measurement
Connect decimal representations to the metric system
(ACMMG135 - Scootle
)
Solve problems involving the comparison of lengths and areas using appropriate units
(ACMMG137 - Scootle
)
Interpret and use timetables
(ACMMG139 - Scootle
)
Location and transformation
Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies
(ACMMG142 - Scootle
)
Introduce the Cartesian coordinate system using all four quadrants
(ACMMG143 - Scootle
)
Geometric reasoning
Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles
(ACMMG141 - Scootle
)
Chance
Describe probabilities using fractions, decimals and percentages
(ACMSP144 - Scootle
)
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies
(ACMSP145 - Scootle
)
Compare observed frequencies across experiments with expected frequencies
(ACMSP146 - Scootle
)
Data representation and interpretation
Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
(ACMSP147 - Scootle
)
Interpret secondary data presented in digital media and elsewhere
(ACMSP148 - Scootle
)