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 2
Year 2 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 calculations with counting sequences, partitioning and combining numbers flexibly and identifying and describing the relationship between addition and subtraction and between multiplication and division
- fluency includes readily counting numbers in sequences, using informal units iteratively to compare measurements, using the language of chance to describe outcomes of familiar chance events and describing and comparing time durations
- problem-solving includes formulating problems from authentic situations, making models and using number sentences that represent problem situations, and matching transformations with their original shape
- reasoning includes using known facts to derive strategies for unfamiliar calculations, comparing and contrasting related models of operations and creating and interpreting simple representations of data.
Year 2 Content Descriptions
Number and place value
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences
(ACMNA026 - Scootle
)
Recognise, model, represent and order numbers to at least 1000
(ACMNA027 - Scootle
)
Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
(ACMNA028 - Scootle
)
Explore the connection between addition and subtraction
(ACMNA029 - Scootle
)
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
(ACMNA030 - Scootle
)
Recognise and represent multiplication as repeated addition, groups and arrays
(ACMNA031 - Scootle
)
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
(ACMNA032 - Scootle
)
Fractions and decimals
Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
(ACMNA033 - Scootle
)
Money and financial mathematics
Count and order small collections of Australian coins and notes according to their value
(ACMNA034 - Scootle
)
Patterns and algebra
Describe patterns with numbers and identify missing elements
(ACMNA035 - Scootle
)
Solve problems by using number sentences for addition or subtraction
(ACMNA036 - Scootle
)
Using units of measurement
Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units
(ACMMG037 - Scootle
)
Compare masses of objects using balance scales
(ACMMG038 - Scootle
)
Tell time to the quarter-hour, using the language of 'past' and 'to'
(ACMMG039 - Scootle
)
Name and order months and seasons
(ACMMG040 - Scootle
)
Use a calendar to identify the date and determine the number of days in each month
(ACMMG041 - Scootle
)
Shape
Describe and draw two-dimensional shapes, with and without digital technologies
(ACMMG042 - Scootle
)
Describe the features of three-dimensional objects
(ACMMG043 - Scootle
)
Location and transformation
Interpret simple maps of familiar locations and identify the relative positions of key features
(ACMMG044 - Scootle
)
Investigate the effect of one-step slides and flips with and without digital technologies
(ACMMG045 - Scootle
)
Identify and describe half and quarter turns
(ACMMG046 - Scootle
)
Chance
Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’
(ACMSP047 - Scootle
)
Data representation and interpretation
Identify a question of interest based on one categorical variable. Gather data relevant to the question
(ACMSP048 - Scootle
)
Collect, check and classify data
(ACMSP049 - Scootle
)
Create displays of data using lists, table and picture graphs and interpret them
(ACMSP050 - Scootle
)