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 4
Year 4 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 making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times and describing properties of symmetrical shapes
- fluency includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations and collecting and recording data
- problem-solving includes formulating, modelling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations and using properties of numbers to continue patterns
- reasoning includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays.
Year 4 Content Descriptions
Number and place value
Investigate and use the properties of odd and even numbers
(ACMNA071 - Scootle
)
Recognise, represent and order numbers to at least tens of thousands
(ACMNA072 - Scootle
)
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
(ACMNA073 - Scootle
)
Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
(ACMNA074 - Scootle
)
Recall multiplication facts up to 10 × 10 and related division facts
(ACMNA075 - Scootle
)
Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
(ACMNA076 - Scootle
)
Fractions and decimals
Investigate equivalent fractions used in contexts
(ACMNA077 - Scootle
)
Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
(ACMNA078 - Scootle
)
Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
(ACMNA079 - Scootle
)
Money and financial mathematics
Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies
(ACMNA080 - Scootle
)
Patterns and algebra
Explore and describe number patterns resulting from performing multiplication
(ACMNA081 - Scootle
)
Solve word problems by using number sentences involving multiplication or division where there is no remainder
(ACMNA082 - Scootle
)
Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction
(ACMNA083 - Scootle
)
Using units of measurement
Use scaled instruments to measure and compare lengths, masses, capacities and temperatures
(ACMMG084 - Scootle
)
Convert between units of time
(ACMMG085 - Scootle
)
Use ‘am’ and ‘pm’ notation and solve simple time problems
(ACMMG086 - Scootle
)
Shape
Compare the areas of regular and irregular shapes by informal means
(ACMMG087 - Scootle
)
Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies
(ACMMG088 - Scootle
)
Location and transformation
Use simple scales, legends and directions to interpret information contained in basic maps
(ACMMG090 - Scootle
)
Create symmetrical patterns, pictures and shapes with and without digital technologies
(ACMMG091 - Scootle
)
Geometric reasoning
Compare angles and classify them as equal to, greater than, or less than, a right angle
(ACMMG089 - Scootle
)
Chance
Describe possible everyday events and order their chances of occurring
(ACMSP092 - Scootle
)
Identify everyday events where one cannot happen if the other happens
(ACMSP093 - Scootle
)
Identify events where the chance of one will not be affected by the occurrence of the other
(ACMSP094 - Scootle
)
Data representation and interpretation
Select and trial methods for data collection, including survey questions and recording sheets
(ACMSP095 - Scootle
)
Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values
(ACMSP096 - Scootle
)
Evaluate the effectiveness of different displays in illustrating data features including variability
(ACMSP097 - Scootle
)