Mathematics

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Rationale

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

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Aims

The Australian Curriculum: Mathematics aims to ensure that students:

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

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Key ideas

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

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Structure

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

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PDF documents

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

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Glossary

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Year 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