Browse by Grade: Foundation

Australia · ACARA Content Descriptions

Foundation Mathematics

A comprehensive introduction to mathematical thinking designed for the first year of school. Students develop a sense of number, spatial reasoning, and logical patterns through hands on exploration and collaborative problem solving.

6 units·18 topics·Ages 5-6
1

Number Sense and Counting

3 topics·Number and Algebra

Students explore the concept of quantity and the relationship between numbers and physical objects.

The Magic of Quantities

Developing a deep understanding of what numbers represent in the real world through subitising and counting.

Stations RotationThink-Pair-Share
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Ordering and Comparing

Investigating the relative size of numbers and using language to describe more or less.

Collaborative Problem-SolvingGallery Walk
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Part-Whole Relationships

Understanding that numbers can be broken apart into smaller groups and put back together.

Problem-Based LearningStations Rotation
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2

Patterns and Algebraic Thinking

3 topics·Number and Algebra

Students identify, describe, and create patterns to build a foundation for algebraic reasoning.

Repeating Patterns

Identifying the core unit of a pattern and predicting what comes next in a sequence.

Carousel BrainstormStations RotationGallery Walk
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Patterns in Nature

Observing and recreating mathematical structures found in the environment.

Experiential LearningGallery Walk
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Growing Patterns

Introduction to sequences that increase or decrease in a predictable way.

Collaborative Problem-Solving
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3

Exploring Shapes and Space

3 topics·Measurement and Space

Students investigate the properties of two dimensional shapes and three dimensional objects in their environment.

Shapes in Our World

Identifying and classifying common geometric shapes based on their observable features.

Stations RotationGallery WalkEscape Room
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3D Objects

Exploring the characteristics of objects that take up space, such as spheres, cubes, and cylinders.

Inquiry CircleStations Rotation
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Position and Direction

Using mathematical language to describe the location of objects and follow movement instructions.

Collaborative Problem-SolvingRole PlayThink-Pair-Share
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4

Measurement and Comparison

3 topics·Measurement and Space

Students use direct comparison to explore length, mass, and capacity using informal units.

Length and Height

Comparing the size of objects by placing them side by side.

Problem-Based LearningStations Rotation
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Weight and Mass

Using hands and balance scales to feel and compare the heaviness of objects.

Inquiry CircleStations Rotation
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Capacity and Volume

Exploring how much a container can hold through pouring and filling activities.

Problem-Based LearningCollaborative Problem-SolvingDecision Matrix
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5

Time and Daily Events

3 topics·Measurement and Space

Students develop an awareness of the passage of time and the sequence of daily occurrences.

Sequencing Events

Ordering familiar events to understand the concepts of yesterday, today, and tomorrow.

Role PlayStations Rotation
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Days of the Week

Learning the names and order of the days and associating them with specific activities.

Fishbowl DiscussionGallery WalkThink-Pair-Share
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Duration of Time

Comparing how long different tasks take to complete.

Inquiry CircleCollaborative Problem-Solving
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6

Data and Probability

3 topics·Statistics and Probability

Students collect information to answer questions and explore the likelihood of everyday events.

Asking and Answering

Formulating simple questions and collecting data from the class.

Case Study AnalysisThink-Pair-Share
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Representing Data

Creating simple displays like object graphs and pictographs.

Decision MatrixGallery Walk
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Chance and Likelihood

Using the language of chance to describe the possibility of events occurring.

Stations RotationFishbowl Discussion
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