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 8

Year 8 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 involving indices and recurring decimals, identifying commonalities between operations with algebra and arithmetic, connecting rules for linear relations with their graphs, explaining the purpose of statistical measures and explaining measurements of perimeter and area
  • fluency includes calculating accurately with simple decimals, indices and integers; recognising equivalence of common decimals and fractions including recurring decimals; factorising and simplifying basic algebraic expressions and evaluating perimeters and areas of common shapes and volumes of three-dimensional objects
  • problem-solving includes formulating and modelling practical situations involving ratios, profit and loss, areas and perimeters of common shapes and using two-way tables and Venn diagrams to calculate probabilities
  • reasoning includes justifying the result of a calculation or estimation as reasonable, deriving probability from its complement, using congruence to deduce properties of triangles, finding estimates of means and proportions of populations.

Year 8 Content Descriptions

Number and place value

Use index notation with numbers to establish the index laws with positive integral indices and the zero index (ACMNA182 - Scootle )
Numeracy

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

  • evaluating numbers expressed as powers of positive integers
    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

    Numeracy

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

Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies (ACMNA183 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

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

  • using patterns to assist in finding rules for the multiplication and division of integers
    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

    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Reflect on processes

  • using the number line to develop strategies for adding and subtracting rational numbers
    Numeracy

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

Real numbers

Investigate terminating and recurring decimals (ACMNA184 - Scootle )
Numeracy

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

  • recognising terminating, recurring and non-terminating decimals and choosing their appropriate representations
    Numeracy

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

    Critical and Creative Thinking

    Reflecting on thinking and processes
    • Reflect on processes

Investigate the concept of irrational numbers, including π (ACMNA186 - Scootle )
Numeracy

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

  • understanding that the real number system includes irrational 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

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187 - Scootle )
Numeracy

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

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

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

Information and Communication Technology (ICT) Capability

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

  • using percentages to solve problems, including those involving mark-ups, discounts,and GST
    Numeracy

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

    Estimating and calculating with whole numbers
    • Use money

  • using percentages to calculate population increases and decreases
    Numeracy

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

Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188 - 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
  • Identify and clarify information and ideas
  • Organise and process information

Reflecting on thinking and processes
  • Reflect on processes

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

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

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
    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

  • calculating population growth rates in Australia and Asia and explaining their difference
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

    Recognising culture and developing respect
    • Investigate culture and cultural identity

    Literacy

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

    Word Knowledge
    • Understand learning area vocabulary

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

    Grammar knowledge
    • Use knowledge of sentence structures

    Critical and Creative Thinking

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

    Ethical Understanding

    Reasoning in decision making and actions
    • Consider consequences

Money and financial mathematics

Solve problems involving profit and loss, with and without digital technologies (ACMNA189 - 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

Literacy

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

Word Knowledge
  • Understand learning area vocabulary

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

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

  • expressing profit and loss as a percentage of cost or selling price, comparing the difference
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

    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

    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
    • Interpret proportional reasoning
    • Apply proportional reasoning

  • investigating the methods used in retail stores to express discounts
    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
    • Use money

    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

Patterns and algebra

Extend and apply the distributive law to the expansion of algebraic expressions (ACMNA190 - Scootle )
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

  • applying the distributive law to the expansion of algebraic expressions using strategies such as the area model
    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

    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

Factorise algebraic expressions by identifying numerical factors (ACMNA191 - Scootle )
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

  • recognising the relationship between factorising and expanding
    Critical and Creative Thinking

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

    Numeracy

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

  • identifying the greatest common divisor (highest common factor) of numeric and algebraic expressions and using a range of strategies to factorise algebraic expressions
    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

    Critical and Creative Thinking

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

Simplify algebraic expressions involving the four operations (ACMNA192 - Scootle )
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

  • understanding that the laws used with numbers can also be used with algebra
    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

Linear and non-linear relationships

Plot linear relationships on the Cartesian plane with and without the use of digital technologies (ACMNA193 - Scootle )
Numeracy

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

Using spatial reasoning
  • Interpret maps and diagrams

Information and Communication Technology (ICT) Capability

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

  • completing a table of values, plotting the resulting points and determining whether the relationship is linear
    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
    • Interpret maps and diagrams

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

  • finding the rule for a linear relationship
    Critical and Creative Thinking

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

    Numeracy

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

Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (ACMNA194 - Scootle )
Critical and Creative Thinking

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

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

Estimating and calculating with whole numbers
  • Estimate and calculate

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

  • solving real life problems by using variables to represent unknowns
    Critical and Creative Thinking

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

    Reflecting on thinking and processes
    • Reflect on processes

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

    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

Using units of measurement

Choose appropriate units of measurement for area and volume and convert from one unit to another (ACMMG195 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • choosing units for area including mm2, cm2, m2, hectares, km2, and units for volume including mm3, cm3, m3
    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 that the conversion factors for area units are the squares of those for the corresponding linear units
    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

  • recognising that the conversion factors for volume units are the cubes of those for the corresponding linear units
    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
    • Estimate and measure with metric units

Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites (ACMMG196 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

  • establishing and using formulas for areas such as trapeziums, rhombuses and kites
    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

Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area (ACMMG197 - 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
  • Comprehend texts
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Using measurement
  • Estimate and measure with metric units

  • investigating the circumference and area of circles with materials or by measuring, to establish an understanding of formulas
    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
    • Estimate and measure with metric units

  • investigating the area of circles using a square grid or by rearranging a circle divided into sectors
    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

Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

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
  • Interpret and analyse learning area texts

  • investigating the relationship between volumes of rectangular and triangular prisms
    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
    • Identify and clarify information and ideas

Solve problems involving duration, including using 12- and 24-hour time within a single time zone (ACMMG199 - Scootle )
Literacy

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

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

Word Knowledge
  • Understand learning area vocabulary

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

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

Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • identifying regions in Australia and countries in Asia that are in the same time zone
    • 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

    Numeracy

    Using measurement
    • Operate with clocks, calendars and timetables

    Intercultural Understanding

    Recognising culture and developing respect
    • Investigate culture and cultural identity

Geometric reasoning

Define congruence of plane shapes using transformations (ACMMG200 - Scootle )
Numeracy

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

Literacy

Word Knowledge
  • Understand learning area vocabulary

  • understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
    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

  • establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
    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

Develop the conditions for congruence of triangles (ACMMG201 - Scootle )
Numeracy

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

  • investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence (SSS, SAS, ASA and RHS)
    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

  • solving problems using the properties of congruent figures
    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
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

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

  • constructing triangles using the conditions for congruence
    Numeracy

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

Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning (ACMMG202 - 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
  • 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
  • Interpret and analyse learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

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

  • establishing the properties of squares, rectangles, parallelograms, rhombuses, trapeziums and kites
    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

  • identifying properties related to side lengths, parallel sides, angles, diagonals and symmetry
    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

Chance

Identify complementary events and use the sum of probabilities to solve problems (ACMSP204 - Scootle )
Literacy

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

Word Knowledge
  • Understand learning area vocabulary

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

Critical and Creative Thinking

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

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

Interpreting statistical information
  • Interpret chance events

  • identifying the complement of familiar events
    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

  • understanding that probabilities range between 0 to 1 and that calculating the probability of an event allows the probability of its complement to be found
    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

Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'. (ACMSP205 - Scootle )
Numeracy

Interpreting statistical information
  • Interpret chance events

Literacy

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

Grammar knowledge
  • Use knowledge of sentence structures

Word Knowledge
  • Understand learning area vocabulary

  • posing 'and', 'or' and 'not' probability questions about objects or people
    Literacy

    Word Knowledge
    • Understand learning area vocabulary

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

    Numeracy

    Interpreting statistical information
    • Interpret chance events

    Critical and Creative Thinking

    Inquiring – identifying, exploring and organising information and ideas
    • Pose questions

Represent events in two-way tables and Venn diagrams and solve related problems (ACMSP292 - Scootle )
Literacy

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

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

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

Numeracy

Interpreting statistical information
  • Interpret data displays

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

  • using Venn diagrams and two-way tables to calculate probabilities for events, satisfying 'and', 'or' and 'not' conditions
    Numeracy

    Interpreting statistical information
    • Interpret chance events
    • Interpret data displays

    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

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

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

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

  • understanding that representing data in Venn diagrams or two-way tables facilitates the calculation of probabilities
    Numeracy

    Interpreting statistical information
    • Interpret data displays
    • Interpret chance events

    Critical and Creative Thinking

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

  • collecting data to answer the questions using Venn diagrams or two-way tables
    Literacy

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

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

    Visual Knowledge
    • Understand how visual elements create meaning

    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

Data representation and interpretation

Investigate techniques for collecting data, including census, sampling and observation (ACMSP284 - 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
  • Navigate, read and view learning area texts
  • Interpret and analyse learning area texts
  • Comprehend texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Interpreting statistical information
  • Interpret data displays

  • identifying situations where data can be collected by census and those where a sample is appropriate
    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

    Numeracy

    Interpreting statistical information
    • Interpret data displays

    Critical and Creative Thinking

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

    Reflecting on thinking and processes
    • Reflect on processes

Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes (ACMSP206 - Scootle )
Literacy

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

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

  • investigating the uses of random sampling to collect data
    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
    • Navigate, read and view learning area texts

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Explore the variation of means and proportions of random samples drawn from the same population (ACMSP293 - 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

Numeracy

Interpreting statistical information
  • Interpret data displays

Critical and Creative Thinking

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

  • using sample properties to predict characteristics of the population
    Numeracy

    Interpreting statistical information
    • Interpret data displays

    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

Investigate the effect of individual data values, including outliers, on the mean and median (ACMSP207 - Scootle )
Literacy

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

Word Knowledge
  • Understand learning area vocabulary

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

Numeracy

Interpreting statistical information
  • Interpret data displays

Critical and Creative Thinking

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

  • using displays of data to explore and investigate effects
    Critical and Creative Thinking

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

    Literacy

    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

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

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays


Year 8 Achievement Standards

By the end of Year 8, students solve everyday problems involving rates, ratios and percentages. They describe index laws and apply them to whole numbers. They describe rational and irrational numbers. Students solve problems involving profit and loss. They make connections between expanding and factorising algebraic expressions. Students solve problems relating to the volume of prisms. They make sense of time duration in real applications. They identify conditions for the congruence of triangles and deduce the properties of quadrilaterals. Students model authentic situations with two-way tables and Venn diagrams. They choose appropriate language to describe events and experiments. They explain issues related to the collection of data and the effect of outliers on means and medians in that data.

Students use efficient mental and written strategies to carry out the four operations with integers. They simplify a variety of algebraic expressions. They solve linear equations and graph linear relationships on the Cartesian plane. Students convert between units of measurement for area and volume. They perform calculations to determine perimeter and area of parallelograms, rhombuses and kites. They name the features of circles and calculate the areas and circumferences of circles. Students determine the probabilities of complementary events and calculate the sum of probabilities.


Year 8 Work Sample Portfolios