Australia · ACARA Content Descriptions
Year 3 Mathematics
This course deepens students mathematical fluency by moving from concrete manipulation to abstract reasoning. It emphasizes the connection between additive and multiplicative thinking while exploring the spatial properties of the world.

The Power of Place Value
Developing a robust understanding of the base ten system and how numbers up to 10,000 can be partitioned and rearranged.
Investigating how four digit numbers can be represented in multiple ways using non standard partitioning.
Using benchmark numbers to locate and estimate the position of values on scaled and unscaled lines.
Identifying and describing sequences that increase or decrease by powers of ten.

Additive Thinking and Mental Strategies
Moving beyond counting on to flexible mental strategies for addition and subtraction of multi digit numbers.
Using jump, split, and compensation strategies to solve addition problems mentally.
Exploring the relationship between addition and subtraction to check accuracy and solve for unknowns.

The World of Multiples
Transitioning from skip counting to understanding multiplication as scaling and arrays.
Visualizing multiplication through row and column structures to build conceptual understanding.
Distinguishing between partition (sharing) and quotation (grouping) division contexts.

Parts of a Whole: Fractions
Introducing unit fractions and their relationship to the whole in continuous and discrete contexts.
Identifying halves, quarters, eighths, thirds, and fifths of shapes and collections.
Locating and ordering unit fractions between zero and one.

Measuring Our Environment
Using metric units to quantify length, mass, and capacity while exploring the concept of time.
Measuring lengths using centimeters and meters and calculating the boundary of 2D shapes.
Reading analog and digital clocks to the minute and calculating elapsed time.

Data and Chance in Action
Collecting, representing, and interpreting data while exploring the likelihood of everyday events.
Creating and interpreting category led displays such as column graphs and pictographs.
Using mathematical vocabulary to describe the probability of outcomes in games and nature.