Mathematics (Version 8.4)

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Rationale

Learning mathematics creates opportunities for and enriches the lives of all Australians. The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in number and algebra, measurement and geometry, and statistics and probability.

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Aims

The Australian Curriculum: Mathematics aims to ensure that students:

are confident, creative users and communicators of mathematics, able to investigate, represent and interpret situations in their personal and work lives and as active citizens.

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Key ideas

In Mathematics, the key ideas are the proficiency strands of understanding, fluency, problem-solving and reasoning. The proficiency strands describe the actions in which students can engage when learning and using the content.

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Structure

The Australian Curriculum: Mathematics is organised around the interaction of three content strands and four proficiency strands.
The content strands are number and algebra, measurement and geometry, and statistics and probability. They describe what is to be taught and learnt.

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PDF documents

Resources and support materials for the Australian Curriculum: Mathematics are available as PDF documents. 
Mathematics: Sequence of content
Mathematics: Sequence of achievement

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Glossary

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Year 2

Year 2 Level Description

The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.

At this year level:

  • understanding includes connecting number calculations with counting sequences, partitioning and combining numbers flexibly and identifying and describing the relationship between addition and subtraction and between multiplication and division
  • fluency includes readily counting numbers in sequences, using informal units iteratively to compare measurements, using the language of chance to describe outcomes of familiar chance events and describing and comparing time durations
  • problem-solving includes formulating problems from authentic situations, making models and using number sentences that represent problem situations, and matching transformations with their original shape
  • reasoning includes using known facts to derive strategies for unfamiliar calculations, comparing and contrasting related models of operations and creating and interpreting simple representations of data.

Year 2 Content Descriptions

Number and place value

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Numeracy

Recognising and using patterns and relationships
  • Recognise and use patterns and relationships

  • developing fluency and confidence with numbers and calculations by saying number sequences
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate
    • Understand and use numbers in context

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

  • recognising patterns in number sequences, such as adding 10 always results in the same final digit
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

Recognise, model, represent and order numbers to at least 1000 (ACMNA027 - Scootle )
Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context

  • recognising there are different ways of representing numbers and identifying patterns going beyond 100
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

  • developing fluency with writing numbers in meaningful contexts
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting (ACMNA028 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context

  • using an abacus to model and represent numbers
    • Asia and Australia’s Engagement with Asia
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

  • understanding three-digit numbers as comprised of hundreds, tens and ones/units
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

  • demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning
    • Aboriginal and Torres Strait Islander Histories and Cultures
    Intercultural Understanding

    Recognising culture and developing respect
    • Explore and compare cultural knowledge, beliefs and practices

    Literacy

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Composing texts through speaking, writing and creating
    • Use language to interact with others
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

Explore the connection between addition and subtraction (ACMNA029 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

  • becoming fluent with partitioning numbers to understand the connection between addition and subtraction
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

  • using counting on to identify the missing element in an additive problem
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

Solve simple addition and subtraction problems using a range of efficient mental and written strategies (ACMNA030 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Seek solutions and put ideas into action
  • Consider alternatives

Reflecting on thinking and processes
  • Reflect on processes

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate
  • Understand and use numbers in context

  • becoming fluent with a range of mental strategies for addition and subtraction problems, such as commutativity for addition, building to 10, doubles, 10 facts and adding 10
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

  • modelling and representing simple additive situations using materials such as 10 frames, 20 frames and empty number lines
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate
    • Understand and use numbers in context

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

Recognise and represent multiplication as repeated addition, groups and arrays (ACMNA031 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

  • representing array problems with available materials and explaining reasoning
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts
    • Use language to interact with others

    Grammar knowledge
    • Use knowledge of sentence structures

    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Think about thinking (metacognition)

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

  • visualising a group of objects as a unit and using this to calculate the number of objects in several identical groups
    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Estimating and calculating with whole numbers
    • Estimate and calculate

Recognise and represent division as grouping into equal sets and solve simple problems using these representations (ACMNA032 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Reflecting on thinking and processes
  • Reflect on processes

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

Using fractions, decimals, percentages, ratios and rates
  • Interpret proportional reasoning

Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Word Knowledge
  • Understand learning area vocabulary

  • dividing the class or a collection of objects into equal-sized groups
    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • Interpret proportional reasoning
    • Apply proportional reasoning

  • identifying the difference between dividing a set of objects into three equal groups and dividing the same set of objects into groups of three
    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Using fractions, decimals, percentages, ratios and rates
    • Interpret proportional reasoning

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

Fractions and decimals

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (ACMNA033 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Numeracy

Using fractions, decimals, percentages, ratios and rates
  • Apply proportional reasoning
  • Interpret proportional reasoning

  • recognising that sets of objects can be partitioned in different ways to demonstrate fractions
    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • Apply proportional reasoning
    • Interpret proportional reasoning

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

  • relating the number of parts to the size of a fraction
    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • Interpret proportional reasoning
    • Apply proportional reasoning

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

Money and financial mathematics

Count and order small collections of Australian coins and notes according to their value (ACMNA034 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context
  • Use money

  • identifying equivalent values in collections of coins or notes, such as two five-cent coins having the same value as one 10-cent coin
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Estimating and calculating with whole numbers
    • Use money
    • Understand and use numbers in context

  • counting collections of coins or notes to make up a particular value, such as that shown on a price tag
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Estimating and calculating with whole numbers
    • Use money
    • Understand and use numbers in context

Patterns and algebra

Describe patterns with numbers and identify missing elements (ACMNA035 - Scootle )
Numeracy

Recognising and using patterns and relationships
  • Recognise and use patterns and relationships

Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

  • describing a pattern created by skip counting and representing the pattern on a number line
    Literacy

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

  • investigating features of number patterns resulting from adding twos, fives or 10s
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

Solve problems by using number sentences for addition or subtraction (ACMNA036 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action

Reflecting on thinking and processes
  • Reflect on processes

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate
  • Understand and use numbers in context

Recognising and using patterns and relationships
  • Recognise and use patterns and relationships

  • representing a word problem as a number sentence
    Literacy

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

  • writing a word problem to represent a number sentence
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Literacy

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

Using units of measurement

Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units (ACMMG037 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • comparing lengths using finger length, hand span or a piece of string
    Numeracy

    Using measurement
    • Estimate and measure with metric units

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information

  • comparing areas using the palm of the hand or a stone
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information

    Numeracy

    Using measurement
    • Estimate and measure with metric units

  • comparing capacities using a range of containers
    Numeracy

    Using measurement
    • Estimate and measure with metric units

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information

Compare masses of objects using balance scales (ACMMG038 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using measurement
  • Estimate and measure with metric units

  • using balance scales to determine whether the mass of different objects is more, less or about the same, or to find out how many marbles are needed to balance a tub of margarine or a carton of milk
    Numeracy

    Using measurement
    • Estimate and measure with metric units

Tell time to the quarter-hour, using the language of 'past' and 'to' (ACMMG039 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts
  • Comprehend texts

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • describing the characteristics of quarter-past times on an analogue clock, and identifying that the small hand is pointing just past the number and the big hand is pointing to the three
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

Name and order months and seasons (ACMMG040 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.
    • Aboriginal and Torres Strait Islander Histories and Cultures
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Intercultural Understanding

    Recognising culture and developing respect
    • Explore and compare cultural knowledge, beliefs and practices

    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

Use a calendar to identify the date and determine the number of days in each month (ACMMG041 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts
  • Comprehend texts

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • using calendars to locate specific information, such as finding a given date on a calendar and saying what day it is, and identifying personally or culturally specific days
    Literacy

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Intercultural Understanding

    Recognising culture and developing respect
    • Investigate culture and cultural identity
    • Explore and compare cultural knowledge, beliefs and practices

Shape

Describe and draw two-dimensional shapes, with and without digital technologies (ACMMG042 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

Information and Communication Technology (ICT) Capability

Creating with ICT
  • Generate solutions to challenges and learning area tasks

  • identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Describe the features of three-dimensional objects (ACMMG043 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts

Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

  • identifying geometric features such as the number of faces, corners or edges
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

Location and transformation

Interpret simple maps of familiar locations and identify the relative positions of key features (ACMMG044 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

  • understanding that we use representations of objects and their positions, such as on maps, to allow us to receive and give directions and to describe place
    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

  • constructing arrangements of objects from a set of directions
    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

Investigate the effect of one-step slides and flips with and without digital technologies (ACMMG045 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Literacy

Word Knowledge
  • Understand learning area vocabulary

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Comprehend texts
  • Navigate, read and view learning area texts

Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

Information and Communication Technology (ICT) Capability

Investigating with ICT
  • Locate, generate and access data and information

  • understanding that objects can be moved but changing position does not alter an object’s size or features
    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Identify and describe half and quarter turns (ACMMG046 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Comprehend texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

  • predicting and reproducing a pattern based around half and quarter turns of a shape and sketching the next element in the pattern
    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Critical and Creative Thinking

    Generating ideas, possibilities and actions
    • Imagine possibilities and connect ideas

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

Chance

Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ (ACMSP047 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Interpreting statistical information
  • Interpret chance events

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Generating ideas, possibilities and actions
  • Consider alternatives
  • Imagine possibilities and connect ideas

  • classifying a list of everyday events according to how likely they are to happen, using the language of chance, and explaining reasoning
    Critical and Creative Thinking

    Generating ideas, possibilities and actions
    • Imagine possibilities and connect ideas
    • Consider alternatives

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Interpreting statistical information
    • Interpret chance events

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Composing texts through speaking, writing and creating
    • Use language to interact with others
    • Compose spoken, written, visual and multimodal learning area texts

Data representation and interpretation

Identify a question of interest based on one categorical variable. Gather data relevant to the question (ACMSP048 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts
  • Comprehend texts

Numeracy

Interpreting statistical information
  • Interpret data displays

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Pose questions
  • Organise and process information

  • determining the variety of birdlife in the playground and using a prepared table to record observations
    • Sustainability
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Collect, check and classify data (ACMSP049 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Numeracy

Interpreting statistical information
  • Interpret data displays

Literacy

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Word Knowledge
  • Understand learning area vocabulary

  • recognising the usefulness of tally marks
    Literacy

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

  • identifying categories of data and using them to sort data
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Create displays of data using lists, table and picture graphs and interpret them (ACMSP050 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

Visual Knowledge
  • Understand how visual elements create meaning

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Reflecting on thinking and processes
  • Reflect on processes
  • Transfer knowledge into new contexts

Numeracy

Interpreting statistical information
  • Interpret data displays

  • creating picture graphs to represent data using one-to-one correspondence
    Numeracy

    Interpreting statistical information
    • Interpret data displays

    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

  • comparing the usefulness of different data displays
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Numeracy

    Interpreting statistical information
    • Interpret data displays


Year 2 Achievement Standards

By the end of Year 2, students recognise increasing and decreasing number sequences involving 2s, 3s and 5s. They represent multiplication and division by grouping into sets. They associate collections of Australian coins with their value. Students identify the missing element in a number sequence. Students recognise the features of three-dimensional objects. They interpret simple maps of familiar locations. They explain the effects of one-step transformations. Students make sense of collected information.

Students count to and from 1000. They perform simple addition and subtraction calculations using a range of strategies. They divide collections and shapes into halves, quarters and eighths. Students order shapes and objects using informal units. They tell time to the quarter-hour and use a calendar to identify the date and the months included in seasons. They draw two-dimensional shapes. They describe outcomes for everyday events. Students collect, organise and represent data to make simple inferences.


Year 2 Work Sample Portfolios

Year 3

Year 3 Level Description

The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.

At this year level:

  • understanding includes connecting number representations with number sequences, partitioning and combining numbers flexibly, representing unit fractions, using appropriate language to communicate times, and identifying environmental symmetry
  • fluency includes recalling multiplication facts, using familiar metric units to order and compare objects, identifying and describing outcomes of chance experiments, interpreting maps and communicating positions
  • problem-solving includes formulating and modelling authentic situations involving planning methods of data collection and representation, making models of three-dimensional objects and using number properties to continue number patterns
  • reasoning includes using generalising from number properties and results of calculations, comparing angles and creating and interpreting variations in the results of data collections and data displays.

Year 3 Content Descriptions

Number and place value

Investigate the conditions required for a number to be odd or even and identify odd and even numbers (ACMNA051 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Generating ideas, possibilities and actions
  • Imagine possibilities and connect ideas

Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context

Recognising and using patterns and relationships
  • Recognise and use patterns and relationships

  • identifying even numbers using skip counting by twos or by grouping even collections of objects in twos
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

  • explaining why all numbers that end in the digits 0, 2, 4, 6 and 8 are even and that numbers ending in 1, 3, 5, 7 and 9 are odd
    Literacy

    Composing texts through speaking, writing and creating
    • Use language to interact with others
    • Compose spoken, written, visual and multimodal learning area texts

    Grammar knowledge
    • Use knowledge of sentence structures

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

Recognise, model, represent and order numbers to at least 10 000 (ACMNA052 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context

Literacy

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

  • placing four-digit numbers on a number line using an appropriate scale
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

  • reproducing numbers in words using their numerical representations and vice versa
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context
  • Estimate and calculate

Literacy

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Seek solutions and put ideas into action
  • Consider alternatives

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Reflecting on thinking and processes
  • Reflect on processes

  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations
    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Think about thinking (metacognition)
    • Reflect on processes

    Analysing, synthesising and evaluating reasoning and procedures
    • Evaluate procedures and outcomes

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

Recognise and explain the connection between addition and subtraction (ACMNA054 - Scootle )
Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Use language to interact with others
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context

  • demonstrating the connection between addition and subtraction using partitioning or by writing equivalent number sentences
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate
  • Understand and use numbers in context

  • recognising that certain single-digit number combinations always result in the same answer for addition and subtraction, and using this knowledge for addition and subtraction of larger numbers
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

  • combining knowledge of addition and subtraction facts and partitioning to aid computation (for example 57 + 19 = 57 + 20 – 1)
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate
    • Understand and use numbers in context

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Understand and use numbers in context
  • Estimate and calculate

  • establishing multiplication facts using number sequences
    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

    Numeracy

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Reflecting on thinking and processes
  • Reflect on processes

Information and Communication Technology (ICT) Capability

Creating with ICT
  • Generate solutions to challenges and learning area tasks

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

Literacy

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

  • writing simple word problems in numerical form and vice versa
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

  • using a calculator to check the solution and reasonableness of the answer
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

Fractions and decimals

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate
  • Understand and use numbers in context

Using fractions, decimals, percentages, ratios and rates
  • Apply proportional reasoning
  • Interpret proportional reasoning

  • partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • Apply proportional reasoning
    • Interpret proportional reasoning

    Estimating and calculating with whole numbers
    • Understand and use numbers in context
    • Estimate and calculate

  • locating unit fractions on a number line
    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • Interpret proportional reasoning
    • Apply proportional reasoning

  • recognising that in English the term ‘one third’ is used (order: numerator, denominator) but that in other languages this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator) for example Japanese
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

    Recognising culture and developing respect
    • Investigate culture and cultural identity

    Interacting and empathising with others
    • Communicate across cultures

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Money and financial mathematics

Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate
  • Use money

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

  • recognising the relationship between dollars and cents, and that not all countries use these denominations and divisions (for example Japanese Yen)
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

    Recognising culture and developing respect
    • Investigate culture and cultural identity

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Patterns and algebra

Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA060 - Scootle )
Literacy

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Word Knowledge
  • Understand learning area vocabulary

Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action
  • Imagine possibilities and connect ideas

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Pose questions
  • Identify and clarify information and ideas

Numeracy

Recognising and using patterns and relationships
  • Recognise and use patterns and relationships

  • identifying and writing the rules for number patterns
    Literacy

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

  • describing a rule for a number pattern, then creating the pattern
    Numeracy

    Recognising and using patterns and relationships
    • Recognise and use patterns and relationships

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

Using units of measurement

Measure, order and compare objects using familiar metric units of length, mass and capacity (ACMMG061 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

Literacy

Word Knowledge
  • Understand learning area vocabulary

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

  • recognising the importance of using common units of measurement
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Using measurement
    • Estimate and measure with metric units

  • recognising and using centimetres and metres, grams and kilograms, and millilitres and litres
    Literacy

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Using measurement
    • Estimate and measure with metric units

Tell time to the minute and investigate the relationship between units of time (ACMMG062 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • recognising there are 60 minutes in an hour and 60 seconds in a minute
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

Shape

Make models of three-dimensional objects and describe key features (ACMMG063 - Scootle )
Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

  • exploring the creation of three-dimensional objects using origami, including prisms and pyramids
    • Asia and Australia’s Engagement with Asia
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Intercultural Understanding

    Recognising culture and developing respect
    • Explore and compare cultural knowledge, beliefs and practices

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

Location and transformation

Create and interpret simple grid maps to show position and pathways (ACMMG065 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action
  • Imagine possibilities and connect ideas

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Navigate, read and view learning area texts
  • Comprehend texts

Visual Knowledge
  • Understand how visual elements create meaning

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

  • creating a map of the classroom or playground
    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

    Critical and Creative Thinking

    Generating ideas, possibilities and actions
    • Consider alternatives
    • Seek solutions and put ideas into action
    • Imagine possibilities and connect ideas

    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

Identify symmetry in the environment (ACMMG066 - Scootle )
Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

  • identifying symmetry in Aboriginal rock carvings or art
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Intercultural Understanding

    Recognising culture and developing respect
    • Explore and compare cultural knowledge, beliefs and practices

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

  • identifying symmetry in the natural and built environment
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

Geometric reasoning

Identify angles as measures of turn and compare angle sizes in everyday situations (ACMMG064 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Numeracy

Using spatial reasoning
  • Visualise 2D shapes and 3D objects

  • opening doors partially and fully and comparing the size of the angles created
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

  • recognising that analogue clocks use the turning of arms to indicate time, and comparing the size of angles between the arms for familiar times
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Using spatial reasoning
    • Visualise 2D shapes and 3D objects

    Using measurement
    • Operate with clocks, calendars and timetables

Chance

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results (ACMSP067 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Comprehending texts through listening, reading and viewing
  • Comprehend texts
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts

Numeracy

Interpreting statistical information
  • Interpret chance events

Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Identify and clarify information and ideas

Analysing, synthesising and evaluating reasoning and procedures
  • Apply logic and reasoning

  • conducting repeated trials of chance experiments such as tossing a coin or drawing a ball from a bag and identifying the variations between trials
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Interpreting statistical information
    • Interpret chance events

Data representation and interpretation

Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording (ACMSP068 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives
  • Seek solutions and put ideas into action

Reflecting on thinking and processes
  • Reflect on processes

Inquiring – identifying, exploring and organising information and ideas
  • Organise and process information
  • Pose questions
  • Identify and clarify information and ideas

Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Word Knowledge
  • Understand learning area vocabulary

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts

Numeracy

Interpreting statistical information
  • Interpret data displays

  • refining questions and planning investigations that involve collecting data, and carrying out the investigation (for example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among Year 3 students in our class?’)
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas
    • Pose questions

    Reflecting on thinking and processes
    • Reflect on processes

Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies (ACMSP069 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Reflecting on thinking and processes
  • Transfer knowledge into new contexts

Literacy

Comprehending texts through listening, reading and viewing
  • Interpret and analyse learning area texts
  • Comprehend texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

Composing texts through speaking, writing and creating
  • Compose texts
  • Compose spoken, written, visual and multimodal learning area texts

Visual Knowledge
  • Understand how visual elements create meaning

Information and Communication Technology (ICT) Capability

Creating with ICT
  • Generate solutions to challenges and learning area tasks

Investigating with ICT
  • Define and plan information searches
  • Locate, generate and access data and information
  • Select and evaluate data and information

Numeracy

Interpreting statistical information
  • Interpret data displays

  • exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Visual Knowledge
    • Understand how visual elements create meaning

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Numeracy

    Interpreting statistical information
    • Interpret data displays

  • collecting data to investigate features in the natural environment
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • Navigate, read and view learning area texts
    • Interpret and analyse learning area texts

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Interpret and compare data displays (ACMSP070 - Scootle )
Critical and Creative Thinking

Inquiring – identifying, exploring and organising information and ideas
  • Identify and clarify information and ideas
  • Organise and process information

Literacy

Composing texts through speaking, writing and creating
  • Compose spoken, written, visual and multimodal learning area texts
  • Compose texts

Comprehending texts through listening, reading and viewing
  • Navigate, read and view learning area texts
  • Comprehend texts
  • Interpret and analyse learning area texts

Word Knowledge
  • Understand learning area vocabulary

Visual Knowledge
  • Understand how visual elements create meaning

Numeracy

Interpreting statistical information
  • Interpret data displays

  • comparing various student-generated data representations and describing their similarities and differences
    Literacy

    Composing texts through speaking, writing and creating
    • Compose spoken, written, visual and multimodal learning area texts

    Comprehending texts through listening, reading and viewing
    • Interpret and analyse learning area texts
    • Navigate, read and view learning area texts

    Grammar knowledge
    • Use knowledge of sentence structures

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Organise and process information
    • Identify and clarify information and ideas


Year 3 Achievement Standards

By the end of Year 3, students recognise the connection between addition and subtraction and solve problems using efficient strategies for multiplication. They model and represent unit fractions. They represent money values in various ways. Students identify symmetry in the environment. They match positions on maps with given information. Students recognise angles in real situations. They interpret and compare data displays.

Students count to and from 10 000. They classify numbers as either odd or even. They recall addition and multiplication facts for single-digit numbers. Students correctly count out change from financial transactions. They continue number patterns involving addition and subtraction. Students use metric units for length, mass and capacity. They tell time to the nearest minute. Students make models of three-dimensional objects. Students conduct chance experiments and list possible outcomes. They conduct simple data investigations for categorical variables.


Year 3 Work Sample Portfolios