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Browse by Grade: Year 1

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.

9 units·43 topics·Ages 6-7

01Number Sense and Counting Systems

9 topics·Term 1

Students explore the structure of our number system by counting, sequencing, and partitioning numbers up to 100.

Counting to 20: Forward and Backward

Practicing counting forwards and backwards within 20, focusing on number sequence and recognition.

Stations RotationExperiential Learning
Counting to 100: Forward and Backward

Investigating how numbers grow and the patterns found in the hundreds chart, practicing counting forwards and backwards.

Stations RotationThink-Pair-Share
Representing Numbers to 20

Using concrete materials, pictures, and numerals to represent numbers up to 20.

Stations RotationCollaborative Problem-Solving
Place Value: Tens and Ones

Developing an understanding of place value by grouping objects into tens and ones, representing numbers up to 100.

Stations RotationCollaborative Problem-SolvingPeer Teaching
Partitioning Numbers to 100

Breaking down two-digit numbers into tens and ones, and exploring other ways to partition numbers.

Concept MappingThink-Pair-Share
Comparing and Ordering Numbers to 20

Using comparative language and symbols to order numbers up to 20 from smallest to largest and vice versa.

Stations RotationHuman Barometer
Comparing and Ordering Numbers to 100

Using comparative language and symbols to order numbers up to 100 from smallest to largest and vice versa.

Stations RotationHuman Barometer
Estimation and Approximation

Learning to make sensible guesses about quantity based on visual benchmarks and refining estimation skills.

Gallery WalkProblem-Based Learning
Ordinal Numbers and Position

Understanding and using ordinal numbers (first, second, third, etc.) to describe position in a sequence.

Role PlaySimulation Game

02Additive Thinking and Operations

5 topics·Term 1

Moving beyond simple counting to understand the relationship between addition and subtraction.

Combining and Separating Groups

Using physical materials to model addition as joining and subtraction as taking away, solving simple word problems.

Role PlayExperiential Learning
Mental Strategies for Small Sums

Building fluency with doubles, near-doubles, and bridging to ten to solve addition problems mentally.

Think-Pair-ShareEscape RoomRound Robin
Equality and the Equal Sign

Reframing the equal sign as a symbol of balance rather than an instruction to solve, exploring equivalent expressions.

Collaborative Problem-SolvingStations Rotation
Fact Families for Addition and Subtraction

Discovering the relationship between addition and subtraction through fact families, understanding inverse operations.

JigsawPeer Teaching
Solving Word Problems (Addition)

Interpreting simple addition word problems and selecting appropriate strategies to solve them.

Problem-Based LearningRAFT Writing

03The Geometry of Our World

5 topics·Term 2

Exploring the properties of 2D shapes and 3D objects in the environment.

Classifying 2D Shapes

Identifying and describing features of common 2D shapes (circles, squares, triangles, rectangles) using formal and informal language.

Stations RotationGallery Walk
Exploring 3D Objects

Identifying and describing features of common 3D objects (cubes, spheres, cylinders, cones) and their relationship to 2D shapes.

Experiential LearningMuseum Exhibit
Location and Direction

Giving and following directions using positional language (e.g., left, right, above, below, next to).

Role PlaySimulation Game
Transformations: Flips, Slides, and Turns

Understanding movement in space by exploring how objects change position through flips, slides, and turns.

Stations RotationExperiential Learning
Symmetry in Nature and Design

Identifying and creating symmetrical patterns and shapes, recognizing lines of symmetry.

Experiential LearningStations Rotation

04Measuring My Environment

7 topics·Term 2

Using informal units to compare and quantify length, mass, and capacity.

Length and Direct Comparison

Comparing the lengths of objects directly and using comparative language (longer, shorter, taller).

Experiential LearningStations Rotation
Measuring Length with Informal Units

Using uniform informal units (e.g., blocks, paper clips) to measure and compare lengths.

Collaborative Problem-SolvingStations Rotation
Mass and Hefting

Using hefting (lifting) to compare the mass of objects and using comparative language (heavier, lighter).

Inquiry CircleStations Rotation
Measuring Mass with Balance Scales

Using balance scales to compare and order objects by mass, understanding the concept of equilibrium.

Inquiry CircleExperiential Learning
Capacity and Containers

Exploring how much containers hold using informal units (e.g., cups, scoops) and comparative language (more, less, full, empty).

Stations RotationCollaborative Problem-Solving
Time: Days, Weeks, and Months

Understanding cycles of time including days of the week, months of the year, and significant events.

Carousel BrainstormRole Play
Telling Time to the Hour and Half-Hour

Learning to tell time on analog and digital clocks to the hour and half-hour.

Stations RotationPeer Teaching

05Data and Probability

4 topics·Term 3

Collecting information to answer questions and exploring the likelihood of events.

Collecting and Organizing Data

Creating simple displays like object graphs and pictographs to represent information from surveys.

Case Study AnalysisDecision MatrixThink-Pair-Share
Interpreting Data Displays

Analyzing data to identify outliers, trends, and answers to inquiry questions from simple graphs.

Gallery WalkFishbowl Discussion
Asking and Answering Questions from Data

Formulating questions that can be answered by a given data display and drawing simple conclusions.

Inquiry CircleChalk Talk
Chance and Likelihood Language

Using everyday language (e.g., 'likely', 'unlikely', 'certain', 'impossible') to describe the outcomes of familiar events.

Inquiry CircleDecision Matrix

06Patterns and Algebraic Logic

4 topics·Term 3

Identifying, creating, and extending patterns in shapes and numbers.

Repeating Patterns

Recognizing the core of a repeating pattern and predicting what comes next in various forms (visual, auditory, movement).

Stations RotationPeer Teaching
Growing Patterns

Identifying the rule of a growing pattern and extending it, understanding how elements increase or decrease.

Concept MappingCollaborative Problem-Solving
Skip Counting by 2s, 5s, and 10s

Using patterns in sequences of 2s, 5s, and 10s to build multiplication readiness and number fluency.

Chalk TalkCollaborative Problem-Solving
Missing Elements in Patterns

Using logic to find missing numbers or shapes in a sequence, applying pattern rules.

Problem-Based LearningEscape Room

07Money and Financial Literacy

3 topics·Term 4

Recognizing Australian coins and notes and understanding their value.

Recognizing Australian Coins

Identifying Australian coins by their appearance, name, and value.

Stations RotationTrading Cards
Recognizing Australian Notes

Identifying Australian notes by their appearance, name, and value.

Gallery WalkThink-Pair-Share
Counting Small Collections of Coins

Counting small collections of coins to determine their total value.

Collaborative Problem-SolvingStations Rotation

08Fractions and Sharing

2 topics·Term 4

Introducing the concept of fractions as equal parts of a whole.

Halves of Shapes and Objects

Dividing shapes and objects into two equal parts and identifying halves.

Experiential LearningStations Rotation
Quarters of Shapes and Objects

Dividing shapes and objects into four equal parts and identifying quarters.

Collaborative Problem-SolvingThink-Pair-Share

09Problem Solving and Reasoning

4 topics·Term 4

Developing logical thinking and applying mathematical concepts to solve real-world problems.

Using Visuals to Solve Problems

Drawing pictures, diagrams, or using manipulatives to represent and solve word problems.

Problem-Based LearningConcept Mapping
Acting Out Problems

Using physical actions or role-play to understand and solve simple word problems.

Role PlayCollaborative Problem-Solving
Making a Model

Creating simple physical or drawn models to represent elements of a problem and find solutions.

Project-Based LearningCollaborative Problem-Solving
Identifying Key Information

Learning to identify and extract important numbers and words needed to solve a problem, and disregard irrelevant information.

Think-Pair-ShareCase Study Analysis