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 6

Year 6 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 describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
  • fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
  • problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
  • reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.

Year 6 Content Descriptions

Number and place value

Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122 - 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

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

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123 - Scootle )
Literacy

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

Information and Communication Technology (ICT) Capability

Creating with ICT
  • Generate solutions to challenges and learning area tasks
  • Generate ideas, plans and processes

Numeracy

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

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

Reflecting on thinking and processes
  • Reflect on processes

Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124 - Scootle )
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

Fractions and decimals

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125 - Scootle )
Numeracy

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

Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126 - 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

Numeracy

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

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

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

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

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

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129 - Scootle )
Information and Communication Technology (ICT) Capability

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

Numeracy

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

Multiply and divide decimals by powers of 10 (ACMNA130 - Scootle )
Numeracy

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

Make connections between equivalent fractions, decimals and percentages (ACMNA131 - Scootle )
Numeracy

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

Money and financial mathematics

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132 - Scootle )
Literacy

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

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

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

Information and Communication Technology (ICT) Capability

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

Patterns and algebra

Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133 - Scootle )
Critical and Creative Thinking

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

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

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
  • 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

Explore the use of brackets and order of operations to write number sentences (ACMNA134 - Scootle )
Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

Using units of measurement

Connect decimal representations to the metric system (ACMMG135 - Scootle )
Numeracy

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

Using measurement
  • Estimate and measure with metric units

Convert between common metric units of length, mass and capacity (ACMMG136 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137 - Scootle )
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

Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

Using measurement
  • Estimate and measure with metric units

Connect volume and capacity and their units of measurement (ACMMG138 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using measurement
  • Estimate and measure with metric units

Interpret and use timetables (ACMMG139 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

Visual Knowledge
  • Understand how visual elements create meaning

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

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

Shape

Construct simple prisms and pyramids (ACMMG140 - Scootle )
Numeracy

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

Location and transformation

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142 - 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

Critical and Creative Thinking

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

Introduce the Cartesian coordinate system using all four quadrants (ACMMG143 - Scootle )
Literacy

Visual Knowledge
  • Understand how visual elements create meaning

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

Geometric reasoning

Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141 - 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

Critical and Creative Thinking

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

Chance

Describe probabilities using fractions, decimals and percentages (ACMSP144 - Scootle )
Numeracy

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

Interpreting statistical information
  • Interpret chance events

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

Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145 - Scootle )
Numeracy

Interpreting statistical information
  • Interpret chance events

Information and Communication Technology (ICT) Capability

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

Compare observed frequencies across experiments with expected frequencies (ACMSP146 - 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
  • 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

Interpreting statistical information
  • Interpret chance events

Data representation and interpretation

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147 - Scootle )
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
  • Comprehend texts
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts

Visual Knowledge
  • Understand how visual elements create meaning

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

Numeracy

Interpreting statistical information
  • Interpret data displays

Interpret secondary data presented in digital media and elsewhere (ACMSP148 - Scootle )
Critical and Creative Thinking

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

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

Literacy

Word Knowledge
  • Understand learning area vocabulary

Visual Knowledge
  • Understand how visual elements create meaning

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

Numeracy

Interpreting statistical information
  • Interpret data displays

Information and Communication Technology (ICT) Capability

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


Year 6 Achievement Standards

By the end of Year 6, students recognise the properties of prime, composite, square and triangular numbers. They describe the use of integers in everyday contexts. They solve problems involving all four operations with whole numbers. Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They make connections between capacity and volume. They solve problems involving length and area. They interpret timetables. Students describe combinations of transformations. They solve problems using the properties of angles. Students compare observed and expected frequencies. They interpret and compare a variety of data displays including those displays for two categorical variables. They interpret secondary data displayed in the media.

Students locate fractions and integers on a number line. They calculate a simple fraction of a quantity. They add, subtract and multiply decimals and divide decimals where the result is rational. Students calculate common percentage discounts on sale items. They write correct number sentences using brackets and order of operations. Students locate an ordered pair in any one of the four quadrants on the Cartesian plane. They construct simple prisms and pyramids. Students describe probabilities using simple fractions, decimals and percentages.


Year 6 Work Sample Portfolios

Year 7

Year 7 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 describing patterns in uses of indices with whole numbers, recognising equivalences between fractions, decimals, percentages and ratios, plotting points on the Cartesian plane, identifying angles formed by a transversal crossing a pair of lines, and connecting the laws and properties of numbers to algebraic terms and expressions
  • fluency includes calculating accurately with integers, representing fractions and decimals in various ways, investigating best buys, finding measures of central tendency and calculating areas of shapes and volumes of prisms
  • problem-solving includes formulating and solving authentic problems using numbers and measurements, working with transformations and identifying symmetry, calculating angles and interpreting sets of data collected through chance experiments
  • reasoning includes applying the number laws to calculations, applying known geometric facts to draw conclusions about shapes, applying an understanding of ratio and interpreting data displays.

Year 7 Content Descriptions

Number and place value

Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149 - Scootle )
Numeracy

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

Investigate and use square roots of perfect square numbers (ACMNA150 - Scootle )
Numeracy

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

Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151 - Scootle )
Numeracy

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

Compare, order, add and subtract integers (ACMNA280 - Scootle )
Numeracy

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

Real numbers

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152 - Scootle )
Numeracy

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

Literacy

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

Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (ACMNA153 - Scootle )
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

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

Reflecting on thinking and processes
  • Reflect on processes

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

Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

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

Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

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

Round decimals to a specified number of decimal places (ACMNA156 - Scootle )
Numeracy

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

Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157 - Scootle )
Numeracy

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

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158 - Scootle )
Information and Communication Technology (ICT) Capability

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

Numeracy

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

Recognise and solve problems involving simple ratios (ACMNA173 - Scootle )
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
  • Seek solutions and put ideas into action

Reflecting on thinking and processes
  • Reflect on processes

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

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

Numeracy

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

Money and financial mathematics

Investigate and calculate 'best buys', with and without digital technologies (ACMNA174 - Scootle )
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
  • 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
  • Define and plan information searches

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

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175 - Scootle )
Critical and Creative Thinking

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

Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176 - Scootle )
Numeracy

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

Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177 - 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
  • Transfer knowledge into new contexts

Numeracy

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

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
  • Comprehend texts

Linear and non-linear relationships

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178 - Scootle )
Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

Critical and Creative Thinking

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

Solve simple linear equations (ACMNA179 - Scootle )
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
  • 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
  • Estimate and calculate

Investigate, interpret and analyse graphs from authentic data (ACMNA180 - 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

Literacy

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

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Interpreting statistical information
  • Interpret data displays

Using units of measurement

Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving (ACMMG159 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

Calculate volumes of rectangular prisms (ACMMG160 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

Shape

Draw different views of prisms and solids formed from combinations of prisms (ACMMG161 - Scootle )
Numeracy

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

Location and transformation

Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries (ACMMG181 - 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 spatial reasoning
  • Interpret maps and diagrams

Geometric reasoning

Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165 - Scootle )
Numeracy

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

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 spoken, written, visual and multimodal learning area texts
  • Compose texts

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMMG166 - Scootle )
Numeracy

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

Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163 - Scootle )
Numeracy

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

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164 - 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
  • Seek solutions and put ideas into action
  • Consider alternatives

Reflecting on thinking and processes
  • Reflect on processes

Chance

Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167 - Scootle )
Critical and Creative Thinking

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

Numeracy

Interpreting statistical information
  • Interpret chance events

Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168 - Scootle )
Critical and Creative Thinking

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

Interpreting statistical information
  • Interpret chance events

Data representation and interpretation

Identify and investigate issues involving numerical data collected from primary and secondary sources (ACMSP169 - Scootle )
Ethical Understanding

Understanding ethical concepts and issues
  • Explore ethical concepts in context

Exploring values, rights and responsibilities
  • Explore rights and responsibilities
  • Examine values
  • Consider points of view

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

Intercultural Understanding

Interacting and empathising with others
  • Consider and develop multiple perspectives

Numeracy

Interpreting statistical information
  • Interpret data displays

Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170 - Scootle )
Literacy

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

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

Visual Knowledge
  • Understand how visual elements create meaning

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
  • Consider alternatives

Numeracy

Interpreting statistical information
  • Interpret data displays

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171 - Scootle )
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

Visual Knowledge
  • Understand how visual elements create meaning

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

Interpreting statistical information
  • Interpret data displays

Describe and interpret data displays using median, mean and range (ACMSP172 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

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

Grammar knowledge
  • Use knowledge of sentence structures

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

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

Interpreting statistical information
  • Interpret data displays


Year 7 Achievement Standards

By the end of Year 7, students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. They solve problems involving percentages and all four operations with fractions and decimals. They compare the cost of items to make financial decisions. Students represent numbers using variables. They connect the laws and properties for numbers to algebra. They interpret simple linear representations and model authentic information. Students describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They solve simple numerical problems involving angles formed by a transversal crossing two lines. Students identify issues involving the collection of continuous data. They describe the relationship between the median and mean in data displays.

Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. Students solve simple linear equations and evaluate algebraic expressions after numerical substitution. They assign ordered pairs to given points on the Cartesian plane. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel line. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes. They calculate mean, mode, median and range for data sets. They construct stem-and-leaf plots and dot-plots.


Year 7 Work Sample Portfolios