Mathematics

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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 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

Year 4

Year 4 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 making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times and describing properties of symmetrical shapes
  • fluency includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations and collecting and recording data
  • problem-solving includes formulating, modelling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations and using properties of numbers to continue patterns
  • reasoning includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays.

Year 4 Content Descriptions

Number and place value

Investigate and use the properties of odd and even numbers (ACMNA071 - Scootle )
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

  • using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations
    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
    • Estimate and calculate

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

Recognise, represent and order numbers to at least tens of thousands (ACMNA072 - Scootle )
Numeracy

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

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
  • Comprehend texts

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

  • reproducing five-digit numbers in words using their numerical representations, and vice versa
    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

    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 tens of thousands to assist calculations and solve problems (ACMNA073 - Scootle )
Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

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

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
  • Navigate, read and view learning area texts
  • Comprehend texts

  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens
    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

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074 - Scootle )
Numeracy

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

  • recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences
    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

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

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075 - Scootle )
Numeracy

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

  • using known multiplication facts to calculate related division facts
    Critical and Creative Thinking

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

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

    Numeracy

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

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076 - 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

Numeracy

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

Estimating and calculating with whole numbers
  • Estimate and calculate

Information and Communication Technology (ICT) Capability

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

Investigating with ICT
  • Select and evaluate data and information

  • using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

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

    Critical and Creative Thinking

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

Fractions and decimals

Investigate equivalent fractions used in contexts (ACMNA077 - Scootle )
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
  • Interpret and analyse learning area texts
  • Comprehend texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

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
  • Organise and process information
  • Identify and clarify information and ideas

  • exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall
    Critical and Creative Thinking

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

    Numeracy

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

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078 - Scootle )
Numeracy

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

  • converting mixed numbers to improper fractions and vice versa
    Numeracy

    Using fractions, decimals, percentages, ratios and rates
    • 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

  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations
    • Aboriginal and Torres Strait Islander Histories and Cultures
    • Sustainability
    Intercultural Understanding

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

    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

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079 - 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

  • using division by 10 to extend the place-value system
    Numeracy

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

    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

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

  • using knowledge of fractions to establish equivalences between fractions and decimal notation
    Numeracy

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

    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
    • Identify and clarify information and ideas

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

Money and financial mathematics

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080 - Scootle )
Literacy

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

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

Numeracy

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

Information and Communication Technology (ICT) Capability

Investigating with ICT
  • Select and evaluate data and information

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

Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

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

  • recognising that not all countries use dollars and cents, eg India uses rupees.
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

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

  • carrying out calculations in another currency as well as in dollars and cents, and identifying both as decimal systems
    Numeracy

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

    Information and Communication Technology (ICT) Capability

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

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

    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

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

Patterns and algebra

Explore and describe number patterns resulting from performing multiplication (ACMNA081 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

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

Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

  • identifying examples of number patterns in everyday life
    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

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082 - Scootle )
Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

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

Literacy

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

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

  • representing a word problem as a number sentence
    Numeracy

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

    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

    Critical and Creative Thinking

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

  • writing a word problem using a given number sentence
    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

    Critical and Creative Thinking

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

    Numeracy

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

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083 - Scootle )
Numeracy

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

Estimating and calculating with whole numbers
  • Estimate and calculate

  • writing number sentences to represent and answer questions such as: ‘When a number is added to 23 the answer is the same as 57 minus 19. What is the number?’
    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • 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
    • Estimate and calculate

  • using partitioning to find unknown quantities in number sentences
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

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

    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

Using units of measurement

Use scaled instruments to measure and compare lengths, masses, capacities and temperatures (ACMMG084 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • reading and interpreting the graduated scales on a range of measuring instruments to the nearest graduation
    Literacy

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

    Numeracy

    Using measurement
    • Estimate and measure with metric units

Compare objects using familiar metric units of area and volume (ACMMG290 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • comparing areas using grid paper
    Numeracy

    Using measurement
    • Estimate and measure with metric units

    Intercultural Understanding

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

  • comparing volume using centicubes
    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

  • recognising that metric units are not the only units used throughout the world, for example measuring the area of floor space using tatami mats (Japan), using squares for room and house area (Australia)
    • Asia and Australia’s Engagement with Asia
    Critical and Creative Thinking

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

Convert between units of time (ACMMG085 - Scootle )
Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • identifying and using the correct operation for converting units of time
    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

Use ‘am’ and ‘pm’ notation and solve simple time problems (ACMMG086 - Scootle )
Literacy

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

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • calculating the time spent at school during a normal school day
    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

  • calculating the time required to travel between two locations
    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

  • determining arrival time given departure time
    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

Compare the areas of regular and irregular shapes by informal means (ACMMG087 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • comparing areas using metric units, such as counting the number of square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares
    Numeracy

    Using measurement
    • Estimate and measure with metric units

    Critical and Creative Thinking

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

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088 - Scootle )
Critical and Creative Thinking

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

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
  • Interpret and analyse learning area texts
  • Comprehend texts
  • Navigate, read and view learning area texts

Word Knowledge
  • Understand learning area vocabulary

Information and Communication Technology (ICT) Capability

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

Numeracy

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

  • identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
    Numeracy

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

    Critical and Creative Thinking

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

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

  • creating a two-dimensional shapes from verbal or written instructions
    Literacy

    Comprehending texts through listening, reading and viewing
    • Listen and respond to 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

    Numeracy

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

Location and transformation

Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090 - Scootle )
Critical and Creative Thinking

Reflecting on thinking and processes
  • Transfer knowledge into new contexts

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

Literacy

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

Using spatial reasoning
  • Interpret maps and diagrams

  • identifying the scale used on maps of cities and rural areas in Australia and a city in Indonesia and describing the difference
    • Asia and Australia’s Engagement with Asia
    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

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

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

    Literacy

    Grammar knowledge
    • Use knowledge of sentence structures

    Text knowledge
    • Use knowledge of text structures

    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

    Word Knowledge
    • Understand learning area vocabulary

    Intercultural Understanding

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

    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

  • using directions to find features on a map
    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

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

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

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

    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

    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091 - Scootle )
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

  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art
    • Aboriginal and Torres Strait Islander Histories and Cultures
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

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

Geometric reasoning

Compare angles and classify them as equal to, greater than, or less than, a right angle (ACMMG089 - Scootle )
Numeracy

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

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

Literacy

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

Critical and Creative Thinking

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

  • creating angles and comparing them to a right angle using digital technologies
    Information and Communication Technology (ICT) Capability

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

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

    Numeracy

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

    Critical and Creative Thinking

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

Chance

Describe possible everyday events and order their chances of occurring (ACMSP092 - Scootle )
Literacy

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

  • using lists of events familiar to students and ordering them from ‘least likely’ to ‘most likely’ to occur
    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

    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

Identify everyday events where one cannot happen if the other happens (ACMSP093 - 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 chance events

  • using examples such as weather, which cannot be dry and wet at the same time
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

Identify events where the chance of one will not be affected by the occurrence of the other (ACMSP094 - Scootle )
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

  • explaining why the probability of a new baby being either a boy or a girl does not depend on the sex of the previous baby
    Numeracy

    Interpreting statistical information
    • Interpret chance events

    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

Data representation and interpretation

Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095 - Scootle )
Literacy

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

Interpreting statistical information
  • Interpret data displays

Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives

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

  • comparing the effectiveness of different methods of collecting data
    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

  • choosing the most effective way to collect data for a given investigation
    Critical and Creative Thinking

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

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values (ACMSP096 - 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

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

Information and Communication Technology (ICT) Capability

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

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • exploring ways of presenting data and showing the results of investigations
    Numeracy

    Interpreting statistical information
    • Interpret data displays

    Literacy

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

    Word Knowledge
    • Understand learning area vocabulary

    Visual Knowledge
    • Understand how visual elements create meaning

    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

  • investigating data displays using many-to-one correspondence
    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
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097 - Scootle )
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
  • Reflect on processes

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • interpreting data representations in the media and other forums in which symbols represent more than one data value
    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

    Word Knowledge
    • Understand learning area vocabulary

    Comprehending texts through listening, reading and viewing
    • 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

  • suggesting questions that can be answered by a given data display and using the display to answer questions
    Critical and Creative Thinking

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

    Literacy

    Word Knowledge
    • Understand learning area vocabulary

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

    Visual Knowledge
    • Understand how visual elements create meaning

    Numeracy

    Interpreting statistical information
    • Interpret data displays


Year 4 Achievement Standards

By the end of Year 4, students choose appropriate strategies for calculations involving multiplication and division. They recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two decimal places. Students solve simple purchasing problems. They identify and explain strategies for finding unknown quantities in number sentences. They describe number patterns resulting from multiplication. Students compare areas of regular and irregular shapes using informal units. They solve problems involving time duration. They interpret information contained in maps. Students identify dependent and independent events. They describe different methods for data collection and representation, and evaluate their effectiveness.

Students use the properties of odd and even numbers. They recall multiplication facts to 10 x 10 and related division facts. Students locate familiar fractions on a number line. They continue number sequences involving multiples of single digit numbers. Students use scaled instruments to measure temperatures, lengths, shapes and objects. They convert between units of time. Students create symmetrical shapes and patterns. They classify angles in relation to a right angle. Students list the probabilities of everyday events. They construct data displays from given or collected data.


Year 4 Work Sample Portfolios