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 1
Year 1 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 connecting names, numerals and quantities, and partitioning numbers in various ways
- fluency includes readily counting number in sequences forwards and backwards, locating numbers on a line and naming the days of the week
- problem-solving includes using materials to model authentic problems, giving and receiving directions to unfamiliar places, using familiar counting sequences to solve unfamiliar problems and discussing the reasonableness of the answer
- reasoning includes explaining direct and indirect comparisons of length using uniform informal units, justifying representations of data and explaining patterns that have been created.
Year 1 Content Descriptions
Number and place value
Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero
(ACMNA012 - Scootle
)
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
(ACMNA013 - Scootle
)
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
(ACMNA015 - Scootle
)
Fractions and decimals
Recognise and describe one-half as one of two equal parts of a whole.
(ACMNA016 - Scootle
)
Money and financial mathematics
Recognise, describe and order Australian coins according to their value
(ACMNA017 - Scootle
)
Patterns and algebra
Investigate and describe number patterns formed by skip-counting and patterns with objects
(ACMNA018 - Scootle
)
Using units of measurement
Measure and compare the lengths and capacities of pairs of objects using uniform informal units
(ACMMG019 - Scootle
)
Tell time to the half-hour
(ACMMG020 - Scootle
)
Describe duration using months, weeks, days and hours
(ACMMG021 - Scootle
)
Shape
Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features
(ACMMG022 - Scootle
)
Chance
Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’
(ACMSP024 - Scootle
)
Data representation and interpretation
Choose simple questions and gather responses and make simple inferences
(ACMSP262 - Scootle
)
Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays
(ACMSP263 - Scootle
)