Australia · ACARA Content Descriptions
Year 1 Mathematics
This course establishes critical early numeracy and spatial reasoning skills through hands-on exploration. Students move from concrete representations to abstract thinking while developing the language to explain their mathematical logic.

01Number Sense and Counting Systems
Students explore the structure of our number system by counting, sequencing, and partitioning numbers up to 100.
Practicing counting forwards and backwards within 20, focusing on number sequence and recognition.
Investigating how numbers grow and the patterns found in the hundreds chart, practicing counting forwards and backwards.
Using concrete materials, pictures, and numerals to represent numbers up to 20.
Developing an understanding of place value by grouping objects into tens and ones, representing numbers up to 100.
Breaking down two-digit numbers into tens and ones, and exploring other ways to partition numbers.
Using comparative language and symbols to order numbers up to 20 from smallest to largest and vice versa.
Using comparative language and symbols to order numbers up to 100 from smallest to largest and vice versa.
Learning to make sensible guesses about quantity based on visual benchmarks and refining estimation skills.
Understanding and using ordinal numbers (first, second, third, etc.) to describe position in a sequence.

02Additive Thinking and Operations
Moving beyond simple counting to understand the relationship between addition and subtraction.
Using physical materials to model addition as joining and subtraction as taking away, solving simple word problems.
Building fluency with doubles, near-doubles, and bridging to ten to solve addition problems mentally.
Reframing the equal sign as a symbol of balance rather than an instruction to solve, exploring equivalent expressions.
Discovering the relationship between addition and subtraction through fact families, understanding inverse operations.
Interpreting simple addition word problems and selecting appropriate strategies to solve them.

03The Geometry of Our World
Exploring the properties of 2D shapes and 3D objects in the environment.
Identifying and describing features of common 2D shapes (circles, squares, triangles, rectangles) using formal and informal language.
Identifying and describing features of common 3D objects (cubes, spheres, cylinders, cones) and their relationship to 2D shapes.
Giving and following directions using positional language (e.g., left, right, above, below, next to).
Understanding movement in space by exploring how objects change position through flips, slides, and turns.
Identifying and creating symmetrical patterns and shapes, recognizing lines of symmetry.

04Measuring My Environment
Using informal units to compare and quantify length, mass, and capacity.
Comparing the lengths of objects directly and using comparative language (longer, shorter, taller).
Using uniform informal units (e.g., blocks, paper clips) to measure and compare lengths.
Using hefting (lifting) to compare the mass of objects and using comparative language (heavier, lighter).
Using balance scales to compare and order objects by mass, understanding the concept of equilibrium.
Exploring how much containers hold using informal units (e.g., cups, scoops) and comparative language (more, less, full, empty).
Understanding cycles of time including days of the week, months of the year, and significant events.
Learning to tell time on analog and digital clocks to the hour and half-hour.

05Data and Probability
Collecting information to answer questions and exploring the likelihood of events.
Creating simple displays like object graphs and pictographs to represent information from surveys.
Analyzing data to identify outliers, trends, and answers to inquiry questions from simple graphs.
Formulating questions that can be answered by a given data display and drawing simple conclusions.
Using everyday language (e.g., 'likely', 'unlikely', 'certain', 'impossible') to describe the outcomes of familiar events.

06Patterns and Algebraic Logic
Identifying, creating, and extending patterns in shapes and numbers.
Recognizing the core of a repeating pattern and predicting what comes next in various forms (visual, auditory, movement).
Identifying the rule of a growing pattern and extending it, understanding how elements increase or decrease.
Using patterns in sequences of 2s, 5s, and 10s to build multiplication readiness and number fluency.
Using logic to find missing numbers or shapes in a sequence, applying pattern rules.

07Money and Financial Literacy
Recognizing Australian coins and notes and understanding their value.
Identifying Australian coins by their appearance, name, and value.
Identifying Australian notes by their appearance, name, and value.
Counting small collections of coins to determine their total value.

08Fractions and Sharing
Introducing the concept of fractions as equal parts of a whole.
Dividing shapes and objects into two equal parts and identifying halves.
Dividing shapes and objects into four equal parts and identifying quarters.

09Problem Solving and Reasoning
Developing logical thinking and applying mathematical concepts to solve real-world problems.
Drawing pictures, diagrams, or using manipulatives to represent and solve word problems.
Using physical actions or role-play to understand and solve simple word problems.
Creating simple physical or drawn models to represent elements of a problem and find solutions.
Learning to identify and extract important numbers and words needed to solve a problem, and disregard irrelevant information.