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 9

Year 9 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 the relationship between graphs and equations, simplifying a range of algebraic expressions and explaining the use of relative frequencies to estimate probabilities and of the trigonometric ratios for right-angle triangles
  • fluency includes applying the index laws to expressions with integer indices, expressing numbers in scientific notation, listing outcomes for experiments, developing familiarity with calculations involving the Cartesian plane and calculating areas of shapes and surface areas of prisms
  • problem-solving includes formulating and modelling practical situations involving surface areas and volumes of right prisms, applying ratio and scale factors to similar figures, solving problems involving right-angle trigonometry and collecting data from secondary sources to investigate an issue
  • reasoning includes following mathematical arguments, evaluating media reports and using statistical knowledge to clarify situations, developing strategies in investigating similarity and sketching linear graphs.

Year 9 Content Descriptions

Real numbers

Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208 - 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
  • Comprehend texts
  • Interpret and analyse learning area texts

Word Knowledge
  • Understand learning area vocabulary

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
  • Seek solutions and put ideas into action
  • Consider alternatives

  • identifying direct proportion in real-life contexts
    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

Apply index laws to numerical expressions with integer indices (ACMNA209 - Scootle )
Numeracy

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

  • simplifying and evaluating numerical expressions, using involving both positive and negative integer indices
    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
    • Estimate and calculate
    • Understand and use numbers in context

Numeracy

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

  • representing extremely large and small numbers in scientific notation, and numbers expressed in scientific notation as whole numbers or decimals
    Numeracy

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

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

Money and financial mathematics

Solve problems involving simple interest (ACMNA211 - 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
  • Interpret and analyse learning area texts

Numeracy

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

Estimating and calculating with whole numbers
  • Use money

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

  • understanding that financial decisions can be assisted by mathematical calculations
    Numeracy

    Estimating and calculating with whole numbers
    • Use money

    Critical and Creative Thinking

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

Patterns and algebra

Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212 - Scootle )
Numeracy

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

  • understanding that index laws apply to variables as well as numbers
    Numeracy

    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
    • Organise and process information

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate (ACMNA213 - Scootle )
Numeracy

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

  • understanding that the distributive law can be applied to algebraic expressions as well as 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
    • Estimate and calculate
    • Understand and use numbers in context

  • understanding the relationship between expansion and factorisation and identifying algebraic factors in algebraic expressions
    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

Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214 - Scootle )
Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

Information and Communication Technology (ICT) Capability

Managing and operating ICT
  • Select and use hardware and software

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

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

  • investigating graphical and algebraic techniques for finding distance between two points
    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
    • Interpret maps and diagrams

  • using Pythagoras' theorem to calculate distance between two points
    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software (ACMNA294 - Scootle )
Information and Communication Technology (ICT) Capability

Managing and operating ICT
  • Select and use hardware and software

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

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

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

  • investigating graphical and algebraic techniques for finding midpoint and gradient
    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

  • recognising that the gradient of a line is the same as the gradient of any line segment on that line
    Numeracy

    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
    • Identify and clarify information and ideas

Sketch linear graphs using the coordinates of two points and solve linear equations (ACMNA215 - 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
  • Seek solutions and put ideas into action
  • Consider alternatives

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

  • determining linear rules from suitable diagrams, tables of values and graphs and describing them using both words and algebra
    Critical and Creative Thinking

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

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

    Reflecting on thinking and processes
    • Reflect on processes

    Literacy

    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

    Grammar knowledge
    • Use knowledge of sentence structures

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations (ACMNA296 - Scootle )
Critical and Creative Thinking

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

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

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

Managing and operating ICT
  • Select and use hardware and software

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

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

  • graphing parabolas, and circles connecting x-intercepts of a graph to a related equation
    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Using units of measurement

Calculate areas of composite shapes (ACMMG216 - Scootle )
Numeracy

Using measurement
  • Estimate and measure with metric units

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

  • understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area
    Numeracy

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

    Critical and Creative Thinking

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

Calculate the surface area and volume of cylinders and solve related problems (ACMMG217 - Scootle )
Critical and Creative Thinking

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

Reflecting on thinking and processes
  • Reflect on processes

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

Numeracy

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

Using measurement
  • Estimate and measure with metric units

Literacy

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

Word Knowledge
  • Understand learning area vocabulary

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

  • analysing nets of cylinders to establish formulas for surface area
    Numeracy

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

    Using measurement
    • Estimate and measure with metric units

    Critical and Creative Thinking

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

  • connecting the volume and capacity of a cylinder to solve authentic problems
    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

    Numeracy

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

    Using measurement
    • Estimate and measure with metric units

Solve problems involving the surface area and volume of right prisms (ACMMG218 - 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
  • 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

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

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

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

Using measurement
  • Estimate and measure with metric units

  • solving practical problems involving surface area and volume of right prisms
    Numeracy

    Using measurement
    • Estimate and measure with metric units

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

    Critical and Creative Thinking

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

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

    Reflecting on thinking and processes
    • Reflect on processes

Investigate very small and very large time scales and intervals (ACMMG219 - Scootle )
Numeracy

Using measurement
  • Operate with clocks, calendars and timetables

  • investigating the usefulness of scientific notation in representing very large and very small 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

Geometric reasoning

Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar (ACMMG220 - Scootle )
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

Numeracy

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

  • establishing the conditions for similarity of two triangles and comparing this to the conditions for congruence
    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 the properties of similarity and ratio, and correct mathematical notation and language, to solve problems involving enlargement (for example, scale diagrams)
    Numeracy

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

  • using the enlargement transformation to establish similarity, understanding that similarity and congruence help describe relationships between geometrical shapes and are important elements of reasoning and proof
    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

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

Solve problems using ratio and scale factors in similar figures (ACMMG221 - 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

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

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

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

Reflecting on thinking and processes
  • Reflect on processes

  • establishing the relationship between areas of similar figures and the ratio of corresponding sides (scale factor)
    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

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

Pythagoras and trigonometry

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222 - 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 texts
  • Compose spoken, written, visual and multimodal learning area texts

Word Knowledge
  • Understand learning area vocabulary

Numeracy

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

  • understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
    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 right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers
    Numeracy

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

    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

Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223 - Scootle )
Numeracy

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

  • developing understanding of the relationship between the corresponding sides of similar right-angled triangles
    Numeracy

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

    Critical and Creative Thinking

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

Apply trigonometry to solve right-angled triangle problems (ACMMG224 - Scootle )
Literacy

Word Knowledge
  • Understand learning area vocabulary

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

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

Numeracy

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

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

  • understanding the terms 'adjacent' and 'opposite' sides in a right-angled triangle
    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
    • Navigate, read and view learning area texts

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

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

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

  • selecting and accurately using the correct trigonometric ratio to find unknown sides (adjacent, opposite and hypotenuse) and angles in right-angled triangles
    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
    • Apply proportional reasoning

Chance

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225 - Scootle )
Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

Interpreting statistical information
  • Interpret chance events

  • conducting two-step chance experiments
    Critical and Creative Thinking

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

    Numeracy

    Interpreting statistical information
    • Interpret chance events

  • using systematic methods to list outcomes of experiments and to list outcomes favourable to an event
    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

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret chance events

  • comparing experiments which differ only by being undertaken with replacement or without replacement
    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

Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or' (ACMSP226 - Scootle )
Numeracy

Interpreting statistical information
  • Interpret chance events

Literacy

Comprehending texts through listening, reading and viewing
  • 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

  • using Venn diagrams or two-way tables to calculate relative frequencies of events involving ‘and’, ‘or’ questions
    Numeracy

    Interpreting statistical information
    • Interpret chance events

    Using spatial reasoning
    • Interpret maps and diagrams

  • using relative frequencies to find an estimate of probabilities of ‘and’, ‘or’ events
    Numeracy

    Interpreting statistical information
    • Interpret chance events

Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians (ACMSP227 - 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

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

Numeracy

Interpreting statistical information
  • Interpret data displays

Information and Communication Technology (ICT) Capability

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

Ethical Understanding

Reasoning in decision making and actions
  • Consider consequences

Understanding ethical concepts and issues
  • Explore ethical concepts in context

  • investigating a range of data and its sources, for example the age of residents in Australia, Cambodia and Tonga; the number of subjects studied at school in a year by 14-year-old students in Australia, Japan and Timor-Leste
    • Asia and Australia’s Engagement with Asia
    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

    Intercultural Understanding

    Interacting and empathising with others
    • Consider and develop multiple perspectives

    Information and Communication Technology (ICT) Capability

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

    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

    Interpreting statistical information
    • Interpret data displays

Data representation and interpretation

Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources (ACMSP228 - Scootle )
Critical and Creative Thinking

Generating ideas, possibilities and actions
  • Consider alternatives

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

Literacy

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

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Interpreting statistical information
  • Interpret data displays

Ethical Understanding

Reasoning in decision making and actions
  • Consider consequences

Understanding ethical concepts and issues
  • Explore ethical concepts in context

  • comparing the annual rainfall in various parts of Australia, Pakistan, New Guinea and Malaysia
    • Asia and Australia’s Engagement with Asia
    Literacy

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

    Word Knowledge
    • Understand learning area vocabulary

    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

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282 - Scootle )
Numeracy

Interpreting statistical information
  • Interpret data displays

  • using stem-and-leaf plots to compare two like sets of data such as the heights of girls and the heights of boys in a class
    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
    • Organise and process information
    • Identify and clarify information and ideas

  • describing the shape of the distribution of data using terms such as ‘positive skew’, ‘negative skew’ and 'symmetric' and 'bi-modal'
    Literacy

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

    Word Knowledge
    • Understand learning area vocabulary

    Grammar knowledge
    • Use knowledge of sentence structures

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283 - 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
  • 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

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

Interpreting statistical information
  • Interpret data displays

  • comparing means, medians and ranges of two sets of numerical data which have been displayed using histograms, dot plots, or stem and leaf plots
    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
    • Identify and clarify information and ideas
    • Organise and process information

    Numeracy

    Interpreting statistical information
    • Interpret data displays


Year 9 Achievement Standards

By the end of Year 9, students solve problems involving simple interest. They interpret ratio and scale factors in similar figures. Students explain similarity of triangles. They recognise the connections between similarity and the trigonometric ratios. Students compare techniques for collecting data from primary and secondary sources. They make sense of the position of the mean and median in skewed, symmetric and bi-modal displays to describe and interpret data.

Students apply the index laws to numbers and express numbers in scientific notation. They expand binomial expressions. They find the distance between two points on the Cartesian plane and the gradient and midpoint of a line segment. They sketch linear and non-linear relations. Students calculate areas of shapes and the volume and surface area of right prisms and cylinders. They use Pythagoras’ Theorem and trigonometry to find unknown sides of right-angled triangles. Students calculate relative frequencies to estimate probabilities, list outcomes for two-step experiments and assign probabilities for those outcomes. They construct histograms and back-to-back stem-and-leaf plots.


Year 9 Work Sample Portfolios

Year 10

Year 10 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 applying the four operations to algebraic fractions, finding unknowns in formulas after substitution, making the connection between equations of relations and their graphs, comparing simple and compound interest in financial contexts and determining probabilities of two- and three-step experiments
  • fluency includes factorising and expanding algebraic expressions, using a range of strategies to solve equations and using calculations to investigate the shape of data sets
  • problem-solving includes calculating the surface area and volume of a diverse range of prisms to solve practical problems, finding unknown lengths and angles using applications of trigonometry, using algebraic and graphical techniques to find solutions to simultaneous equations and inequalities and investigating independence of events
  • reasoning includes formulating geometric proofs involving congruence and similarity, interpreting and evaluating media statements and interpreting and comparing data sets.

Year 10 Content Descriptions

Money and financial mathematics

Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies (ACMNA229 - Scootle )
Numeracy

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

Information and Communication Technology (ICT) Capability

Managing and operating ICT
  • Select and use hardware and software

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

  • working with authentic information, data and interest rates to calculate compound interest and solve related problems
    Numeracy

    Estimating and calculating with whole numbers
    • Use money

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

    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

    Word Knowledge
    • Understand learning area vocabulary

    Information and Communication Technology (ICT) Capability

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

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

    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

Patterns and algebra

Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230 - 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

  • using the distributive law and the index laws 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

  • understanding the relationship between factorisation and expansion
    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

Simplify algebraic products and quotients using index laws (ACMNA231 - 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

  • applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices
    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

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

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

Apply the four operations to simple algebraic fractions with numerical denominators (ACMNA232 - Scootle )
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

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

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

  • expressing the sum and difference of algebraic fractions with a common denominator
    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
    • Estimate and calculate

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

  • using the index laws to simplify products and quotients of algebraic fractions
    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

Expand binomial products and factorise monic quadratic expressions using a variety of strategies (ACMNA233 - 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

  • exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations
    Critical and Creative Thinking

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

    Numeracy

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

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

  • identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs
    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
    • Organise and process information

  • using the identities for perfect squares and the difference of squares to factorise quadratic 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

Substitute values into formulas to determine an unknown (ACMNA234 - Scootle )
Numeracy

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

Estimating and calculating with whole numbers
  • Estimate and calculate

  • solving simple equations arising from formulas
    Numeracy

    Estimating and calculating with whole numbers
    • Estimate and calculate

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

Linear and non-linear relationships

Solve problems involving linear equations, including those derived from formulas (ACMNA235 - Scootle )
Numeracy

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

  • representing word problems with simple linear equations and solving them to answer questions
    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
    • 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

    Word Knowledge
    • Understand learning area vocabulary

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

    Numeracy

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

Solve linear inequalities and graph their solutions on a number line (ACMNA236 - Scootle )
Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

  • representing word problems with simple linear inequalities and solving them to answer questions
    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

    Word Knowledge
    • Understand learning area vocabulary

    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

    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology (ACMNA237 - Scootle )
Numeracy

Using spatial reasoning
  • Interpret maps and diagrams

Information and Communication Technology (ICT) Capability

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

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

  • associating the solution of simultaneous equations with the coordinates of the intersection of their corresponding graphs
    Critical and Creative Thinking

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

    Numeracy

    Using spatial reasoning
    • Interpret maps and diagrams

Solve problems involving parallel and perpendicular lines (ACMNA238 - Scootle )
Literacy

Visual Knowledge
  • Understand how visual elements create meaning

Word Knowledge
  • Understand learning area vocabulary

Numeracy

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

  • solving problems using the fact that parallel lines have the same gradient and conversely that if two lines have the same gradient then they are parallel
    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
    • Identify and clarify information and ideas
    • Organise and process information

    Reflecting on thinking and processes
    • Reflect on processes

    Numeracy

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

  • solving problems using the fact that the product of the gradients of perpendicular lines is –1 and conversely that if the product of the gradients of two lines is –1 then they are perpendicular
    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

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

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate (ACMNA239 - Scootle )
Information and Communication Technology (ICT) Capability

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

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

Word Knowledge
  • Understand learning area vocabulary

Visual Knowledge
  • Understand how visual elements create meaning

Numeracy

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

  • sketching graphs of parabolas, and circles
    Numeracy

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

  • applying translations, reflections and stretches to parabolas and circles
    Numeracy

    Interpreting statistical information
    • Interpret data displays

    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

  • sketching the graphs of exponential functions using transformations
    Numeracy

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

Solve linear equations involving simple algebraic fractions (ACMNA240 - Scootle )
Numeracy

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

  • solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution
    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

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

  • representing word problems, including those involving fractions, as equations and solving them to answer the question
    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

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

    Literacy

    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

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

Solve simple quadratic equations using a range of strategies (ACMNA241 - 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
  • Organise and process information
  • Identify and clarify information and ideas

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

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

  • using a variety of techniques to solve quadratic equations, including grouping, completing the square, the quadratic formula and choosing two integers with the required product and sum
    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
    • Seek solutions and put ideas into action

    Reflecting on thinking and processes
    • Reflect on processes

    Numeracy

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

Using units of measurement

Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids (ACMMG242 - 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

Numeracy

Using measurement
  • Estimate and measure with metric units

  • investigating and determining the volumes and surface areas of composite solids by considering the individual solids from which they are constructed
    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

Geometric reasoning

Formulate proofs involving congruent triangles and angle properties (ACMMG243 - Scootle )
Numeracy

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

  • applying an understanding of relationships to deduce properties of geometric figures (for example the base angles of an isosceles triangle 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

Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes (ACMMG244 - Scootle )
Numeracy

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

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
    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

  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
    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

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

  • communicating a proof using a sequence of logically connected statements
    Literacy

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

    Text knowledge
    • Use knowledge of text structures

    Grammar knowledge
    • Use knowledge of sentence structures

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

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

    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

Pythagoras and trigonometry

Solve right-angled triangle problems including those involving direction and angles of elevation and depression (ACMMG245 - Scootle )
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

Numeracy

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

  • applying Pythagoras' Theorem and trigonometry to problems in surveying and design
    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

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

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

Chance

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence (ACMSP246 - 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

Reflecting on thinking and processes
  • Reflect on processes

Numeracy

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

  • recognising that an event can be dependent on another event and that this will affect the way its probability is calculated
    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

Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language (ACMSP247 - 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 chance events

  • using two-way tables and Venn diagrams to understand conditional statements
    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

    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

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays

  • using arrays and tree diagrams to determine probabilities
    Critical and Creative Thinking

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

    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
    • Reflect on processes

    Numeracy

    Interpreting statistical information
    • Interpret chance events

Data representation and interpretation

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets
    Numeracy

    Interpreting statistical information
    • 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

    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

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

Construct and interpret box plots and use them to compare data sets (ACMSP249 - 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
  • 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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
    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

  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole
    • Aboriginal and Torres Strait Islander Histories and Cultures
    Critical and Creative Thinking

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

    Intercultural Understanding

    Interacting and empathising with others
    • Consider and develop multiple perspectives

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Compare shapes of box plots to corresponding histograms and dot plots (ACMSP250 - Scootle )
Critical and Creative Thinking

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
  • Comprehend texts
  • 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

  • investigating data in different ways to make comparisons and draw conclusions
    Literacy

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

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

    Word Knowledge
    • Understand learning area vocabulary

    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

Use scatter plots to investigate and comment on relationships between two numerical variables (ACMSP251 - 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

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

Word Knowledge
  • Understand learning area vocabulary

Numeracy

Interpreting statistical information
  • Interpret data displays

  • using authentic data to construct scatter plots, make comparisons and draw conclusions
    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
    • 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
    • Organise and process information
    • Identify and clarify information and ideas

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Investigate and describe bivariate numerical data where the independent variable is time (ACMSP252 - Scootle )
Literacy

Grammar knowledge
  • Use knowledge of sentence structures

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

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • investigating biodiversity changes in Australia since European occupation
    • Sustainability
    Literacy

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

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

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

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

  • constructing and interpreting data displays representing bivariate data over time
    Literacy

    Visual Knowledge
    • Understand how visual elements create meaning

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

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

    Word Knowledge
    • Understand learning area vocabulary

    Critical and Creative Thinking

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

Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data (ACMSP253 - Scootle )
Ethical Understanding

Reasoning in decision making and actions
  • Reflect on ethical action

Understanding ethical concepts and issues
  • Explore ethical concepts in context

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

Critical and Creative Thinking

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

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • investigating the use of statistics in reports regarding the growth of Australia's trade with other countries of the Asia region
    • Asia and Australia’s Engagement with Asia
    Intercultural Understanding

    Interacting and empathising with others
    • Consider and develop multiple perspectives

    Ethical Understanding

    Reasoning in decision making and actions
    • Reflect on ethical action

    Understanding ethical concepts and issues
    • Explore ethical concepts 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
    • Organise and process information

    Numeracy

    Interpreting statistical information
    • Interpret data displays

  • evaluating statistical reports comparing the life expectancy of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole
    • Aboriginal and Torres Strait Islander Histories and Cultures
    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
    • Think about thinking (metacognition)

    Literacy

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

    Word Knowledge
    • Understand learning area vocabulary

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

    Numeracy

    Interpreting statistical information
    • Interpret data displays

    Ethical Understanding

    Reasoning in decision making and actions
    • Reflect on ethical action

    Understanding ethical concepts and issues
    • Explore ethical concepts in context

    Intercultural Understanding

    Interacting and empathising with others
    • Consider and develop multiple perspectives


Year 10 Achievement Standards

By the end of Year 10, students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities. They make the connections between algebraic and graphical representations of relations. Students solve surface area and volume problems relating to composite solids. They recognise the relationships between parallel and perpendicular lines. Students apply deductive reasoning to proofs and numerical exercises involving plane shapes. They compare data sets by referring to the shapes of the various data displays. They describe bivariate data where the independent variable is time. Students describe statistical relationships between two continuous variables. They evaluate statistical reports.

Students expand binomial expressions and factorise monic quadratic expressions. They find unknown values after substitution into formulas. They perform the four operations with simple algebraic fractions. Students solve simple quadratic equations and pairs of simultaneous equations. They use triangle and angle properties to prove congruence and similarity. Students use trigonometry to calculate unknown angles in right-angled triangles. Students list outcomes for multi-step chance experiments and assign probabilities for these experiments. They calculate quartiles and inter-quartile ranges.


Year 10 Work Sample Portfolios

Year 10A

Year 10A Level Description

The 10A content descriptions are optional and are intended for students who require additional content to enrich and extend their mathematical study whilst completing the common Year 10 curriculum. It is not anticipated that all students will attempt the 10A content, but doing so would be advantageous for those intending to pursue Mathematical Methods (Course C) or Specialist Mathematics (Course D) in the senior secondary years. A selection of topics from the 10A curriculum can be completed according to the needs and interests of students.


Year 10A Content Descriptions

Real numbers

Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264 - Scootle )
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
  • Identify and clarify information and ideas

  • 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
    • Estimate and calculate

  • extending the index laws to rational number indices
    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
    • Estimate and calculate
    • Understand and use numbers in context

  • performing the four operations with surds
    Numeracy

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

Use the definition of a logarithm to establish and apply the laws of logarithms (ACMNA265 - Scootle )
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

Numeracy

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

  • investigating the relationship between exponential and logarithmic expressions
    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
    • Organise and process information
    • Identify and clarify information and ideas

  • simplifying expressions using the logarithm laws
    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
    • Organise and process information
    • Identify and clarify information and ideas

Patterns and algebra

Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems (ACMNA266 - 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

Reflecting on thinking and processes
  • Transfer knowledge into new contexts

  • investigating the relationship between algebraic long division and the factor and remainder theorems
    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
    • Estimate and calculate
    • Understand and use numbers in context

Linear and non-linear relationships

Solve simple exponential equations (ACMNA270 - Scootle )
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
  • Estimate and calculate
  • Understand and use numbers in context

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

  • investigating exponential equations derived from authentic mathematical models based on population growth
    Critical and Creative Thinking

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

    Numeracy

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

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

Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267 - Scootle )
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

  • applying transformations, including translations, reflections in the axes and stretches to help graph parabolas, rectangular hyperbolas, circles and exponential functions
    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

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

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation (ACMNA268 - Scootle )
Numeracy

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

  • investigating the features of graphs of polynomials including axes intercepts and the effect of repeated factors
    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

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts (ACMNA269 - Scootle )
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
  • Understand and use numbers in context
  • Estimate and calculate

  • writing quadratic equations that represent practical problems
    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
    • Identify and clarify information and ideas
    • Organise and process information

Using units of measurement

Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (ACMMG271 - Scootle )
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

  • using formulas to solve problems
    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

    Numeracy

    Using measurement
    • Estimate and measure with metric units

  • using authentic situations to apply knowledge and understanding of surface area and volume
    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

Geometric reasoning

Prove and apply angle and chord properties of circles (ACMMG272 - Scootle )
Numeracy

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

Critical and Creative Thinking

Reflecting on thinking and processes
  • Transfer knowledge into new contexts

  • performing a sequence of steps to determine an unknown angle or length in a diagram involving a circle, or circles, giving a justification in moving from one step to the next
    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

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

    Numeracy

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

    Literacy

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

  • communicating a proof using a logical sequence of statements
    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
    • Identify and clarify information and ideas
    • Organise and process information

    Reflecting on thinking and processes
    • Reflect on processes

  • proving results involving chords of circles
    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

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

    Numeracy

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

Pythagoras and trigonometry

Establish the sine, cosine and area rules for any triangle and solve related problems (ACMMG273 - Scootle )
Numeracy

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

Critical and Creative Thinking

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

Reflecting on thinking and processes
  • Reflect on processes

  • applying knowledge of sine, cosine and area rules to authentic problems such as those involving surveying and design
    Critical and Creative Thinking

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

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

    Reflecting on thinking and processes
    • Transfer knowledge into new contexts

    Numeracy

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

Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies (ACMMG274 - Scootle )
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

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

  • establishing the symmetrical properties of trigonometric functions
    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

  • investigating angles of any magnitude
    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

  • understanding that trigonometric functions are periodic and that this can be used to describe motion
    Numeracy

    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
    • Organise and process information

Solve simple trigonometric equations (ACMMG275 - Scootle )
Numeracy

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

  • using periodicity and symmetry to solve equations
    Numeracy

    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
    • 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

Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles (ACMMG276 - Scootle )
Numeracy

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

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

  • investigating the applications of Pythagoras' theorem in authentic problems
    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

Chance

Investigate reports of studies in digital media and elsewhere for information on their planning and implementation (ACMSP277 - Scootle )
Information and Communication Technology (ICT) Capability

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

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
  • Think about thinking (metacognition)

Numeracy

Interpreting statistical information
  • Interpret data displays

Literacy

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

  • evaluating the appropriateness of sampling methods in reports where statements about a population are based on a sample
    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
    • Think about thinking (metacognition)

    Ethical Understanding

    Reasoning in decision making and actions
    • Reflect on ethical action

    Understanding ethical concepts and issues
    • Explore ethical concepts in context

    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 data displays

  • evaluating whether graphs in a report could mislead, and whether graphs and numerical information support the claims
    Ethical Understanding

    Reasoning in decision making and actions
    • Reflect on ethical action

    Understanding ethical concepts and issues
    • Explore ethical concepts in context

    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
    • Think about thinking (metacognition)

    Personal and Social Capability

    Self-awareness
    • Understand themselves as learners
    • Recognise personal qualities and achievements

    Social awareness
    • Appreciate diverse perspectives

    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

    Word Knowledge
    • Understand learning area vocabulary

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Data representation and interpretation

Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278 - Scootle )
Critical and Creative Thinking

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • using the standard deviation to describe the spread of a set of data
    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

    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

  • using the mean and standard deviation to compare numerical data sets
    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
    • Organise and process information

    Numeracy

    Interpreting statistical information
    • Interpret data displays

Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation (ACMSP279 - Scootle )
Information and Communication Technology (ICT) Capability

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

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

Numeracy

Interpreting statistical information
  • Interpret data displays

  • investigating different techniques for finding a ‘line of best fit’
    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


Year 10A Achievement Standards

There are no achievement standards for Year 10A in the Australian Curriculum: Mathematics. Please refer to the Year 10 Achievement Standards.