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 10
Year 10 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 applying the four operations to algebraic fractions, finding unknowns in formulas after substitution, making the connection between equations of relations and their graphs, comparing simple and compound interest in financial contexts and determining probabilities of two- and three-step experiments
- fluency includes factorising and expanding algebraic expressions, using a range of strategies to solve equations and using calculations to investigate the shape of data sets
- problem-solving includes calculating the surface area and volume of a diverse range of prisms to solve practical problems, finding unknown lengths and angles using applications of trigonometry, using algebraic and graphical techniques to find solutions to simultaneous equations and inequalities and investigating independence of events
- reasoning includes formulating geometric proofs involving congruence and similarity, interpreting and evaluating media statements and interpreting and comparing data sets.
Year 10 Content Descriptions
Money and financial mathematics
Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
(ACMNA229 - Scootle
)
Patterns and algebra
Simplify algebraic products and quotients using index laws
(ACMNA231 - Scootle
)
Apply the four operations to simple algebraic fractions with numerical denominators
(ACMNA232 - Scootle
)
Expand binomial products and factorise monic quadratic expressions using a variety of strategies
(ACMNA233 - Scootle
)
Substitute values into formulas to determine an unknown
(ACMNA234 - Scootle
)
Linear and non-linear relationships
Solve problems involving linear equations, including those derived from formulas
(ACMNA235 - Scootle
)
Solve linear inequalities and graph their solutions on a number line
(ACMNA236 - Scootle
)
Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology
(ACMNA237 - Scootle
)
Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
(ACMNA239 - Scootle
)
Solve linear equations involving simple algebraic fractions
(ACMNA240 - Scootle
)
Solve simple quadratic equations using a range of strategies
(ACMNA241 - Scootle
)