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 3
Year 3 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 number representations with number sequences, partitioning and combining numbers flexibly, representing unit fractions, using appropriate language to communicate times, and identifying environmental symmetry
- fluency includes recalling multiplication facts, using familiar metric units to order and compare objects, identifying and describing outcomes of chance experiments, interpreting maps and communicating positions
- problem-solving includes formulating and modelling authentic situations involving planning methods of data collection and representation, making models of three-dimensional objects and using number properties to continue number patterns
- reasoning includes using generalising from number properties and results of calculations, comparing angles and creating and interpreting variations in the results of data collections and data displays.
Year 3 Content Descriptions
Number and place value
Investigate the conditions required for a number to be odd or even and identify odd and even numbers
(ACMNA051 - Scootle
)
Recognise, model, represent and order numbers to at least 10 000
(ACMNA052 - Scootle
)
Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems
(ACMNA053 - Scootle
)
Recognise and explain the connection between addition and subtraction
(ACMNA054 - Scootle
)
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
(ACMNA055 - Scootle
)
Recall multiplication facts of two, three, five and ten and related division facts
(ACMNA056 - Scootle
)
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
(ACMNA057 - Scootle
)
Fractions and decimals
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
(ACMNA058 - Scootle
)
Money and financial mathematics
Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents
(ACMNA059 - Scootle
)
Patterns and algebra
Describe, continue, and create number patterns resulting from performing addition or subtraction
(ACMNA060 - Scootle
)
Using units of measurement
Measure, order and compare objects using familiar metric units of length, mass and capacity
(ACMMG061 - Scootle
)
Tell time to the minute and investigate the relationship between units of time
(ACMMG062 - Scootle
)
Location and transformation
Create and interpret simple grid maps to show position and pathways
(ACMMG065 - Scootle
)
Identify symmetry in the environment
(ACMMG066 - Scootle
)
Geometric reasoning
Identify angles as measures of turn and compare angle sizes in everyday situations
(ACMMG064 - Scootle
)
Chance
Conduct chance experiments, identify and describe possible outcomes and recognise variation in results
(ACMSP067 - Scootle
)
Data representation and interpretation
Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording
(ACMSP068 - Scootle
)
Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies
(ACMSP069 - Scootle
)
Interpret and compare data displays
(ACMSP070 - Scootle
)