Australia · ACARA Content Descriptions
Year 2 Mathematics
A comprehensive exploration of mathematical fluency where students transition from basic counting to complex grouping, spatial reasoning, and statistical investigation. This curriculum emphasizes the connection between abstract symbols and real world applications through hands on problem solving.

01The Power of Place Value
Students investigate the base ten system to understand how the position of a digit determines its value in three digit numbers.
Using concrete materials to represent numbers up to 1000 and understanding regrouping.
Breaking numbers apart in non standard ways to build mental computation flexibility.
Locating and ordering numbers on various scales to develop a mental number line.
Students compare and order three-digit numbers using place value understanding and appropriate symbols.
Students learn to estimate numbers to the nearest ten using a number line and real-world contexts.
Students explore the concept of odd and even numbers through grouping and patterns.
Students identify and extend number sequences, focusing on skip counting by 2s, 3s, 5s, and 10s.
Students practice counting Australian coins and notes and making simple change.

02Additive Thinking and Strategies
Moving beyond counting on fingers toward derived facts and mental strategies for addition and subtraction.
Developing strategies to cross ten efficiently when adding single and double digit numbers.
Exploring the connection between addition and subtraction through fact families.
Applying additive strategies to solve authentic problems involving change, comparison, and combination.
Students practice adding two-digit numbers using place value strategies without regrouping.
Students learn to add two-digit numbers that require regrouping ones to tens.
Students practice subtracting two-digit numbers using place value strategies without regrouping.
Students learn to subtract two-digit numbers that require regrouping tens to ones.
Students develop and apply mental strategies like doubles, near doubles, and making to ten for addition.

03Multiplicative Foundations
Introducing the concepts of grouping, arrays, and sharing as the basis for multiplication and division.
Using rows and columns to represent repeated addition and early multiplication.
Investigating division through the lens of distributing items equally and finding how many groups fit.
Connecting division to fractions by partitioning shapes and collections.
Students understand multiplication as repeated addition and represent it with number sentences.
Students begin to learn and recall multiplication facts for 2, 5, and 10.
Students explore division by forming equal groups and determining the number of groups.
Students explore division by sharing a total equally among a given number of recipients.
Students extend their understanding of fractions to find halves, quarters, and eighths of collections of objects.

04Measuring the World
Comparing and measuring length, mass, and capacity using informal and standard units.
Discovering why consistent units are necessary for accurate measurement and communication.
Reading analogue and digital clocks to the half hour and understanding durations.
Using balance scales and containers to investigate the properties of matter.
Students measure and compare lengths of objects using standard units like centimetres.
Students measure and compare longer lengths using metres and understand the relationship between metres and centimetres.
Students compare and order objects based on their mass using informal units and the language of 'heavier' and 'lighter'.
Students compare and order containers based on their capacity using informal units and the language of 'holds more' and 'holds less'.
Students compare and order the duration of events using informal and formal units of time.

05Geometric Reasoning
Identifying features of shapes and objects and using directional language to navigate space.
Classifying shapes based on sides, vertices, and symmetry.
Connecting 2D faces to 3D solids and identifying objects in the environment.
Using simple maps and directional language to describe paths and locations.
Students draw and construct common 2D shapes using rulers and other tools.
Students identify and describe the number of faces, edges, and vertices on common 3D objects.
Students identify lines of symmetry in 2D shapes and natural objects.
Students describe turns and angles using informal language (e.g., quarter turn, half turn).
Students follow and give simple directions to locate positions and describe paths on informal maps.

06Data and Probability
Collecting and interpreting data while exploring the likelihood of everyday events.
Asking questions, collecting data, and creating displays to show results.
Analysing graphs and tables to identify trends and answer questions.
Using the language of chance to describe the probability of different outcomes.
Students learn to collect and organize data using tally marks and simple tables.
Students create simple picture graphs to represent collected data, using one-to-one correspondence.
Students create simple column graphs to represent collected data, understanding axes and labels.
Students formulate and answer questions based on information presented in graphs and tables.
Students identify all possible outcomes for simple chance experiments.