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• VC2M10A08

  solve linear inequalities and graph their solutions on a number line

  Elaborations

  • representing word problems with simple linear inequalities and solving them to answer questions
  • graphing regions corresponding to inequalities in the Cartesian plane (for example, graphing 2x+3y<24) and verifying using a test point such as (0, 0)

  VC2M10A08 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VC2M9A03

  sketch linear graphs of equations in various algebraic forms, using the coordinates of 2 points, and solve linear equations

  Elaborations

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

  VC2M9A03 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VC2M10AA09

  solve linear and non-linear simultaneous equations using graphing or systematic guess-check-and-refine with digital tools

  Elaborations

  • using graphs to determine a convergent set of intervals that contain a point of intersection of the graphs of 2 functions
  • using a cobweb diagram to solve simultaneous equations numerically

  VC2M10AA09 | Mathematics | Mathematics Version 2.0 | Level 10A | Algebra

• VCMNA257

  Investigate, interpret and analyse graphs from real life data, including consideration of domain and range

  Elaborations

  • using travel graphs to investigate and compare the distance travelled to and from school
  • interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines
  • using graphs of evaporation rates to explore water storage
  • describing and comparing temperature during a day at different times of the year from the corresponding graphs

  VCMNA257 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VC2M9A05

  identify and graph quadratic functions, solve quadratic equations graphically and numerically, and use null factor law to solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

  Elaborations

  • recognising that in a table of values, if the second difference between consecutive values of the dependent variable is constant, then it is a quadratic
  • graphing quadratic functions using digital tools and comparing what is the same and what is different between these different functions and their respective graphs; interpreting features of the graphs such as symmetry, turning point, maximum and minimum values; and determining when values of the quadratic function lie within a given range
  • solving quadratic equations algebraically and comparing these to graphical solutions
  • using graphs to determine the solutions of quadratic equations; recognising that the roots of a quadratic function correspond to the x-intercepts of its graph and that if the graph has no x-intercepts, then the corresponding equation has no real solutions
  • relating horizontal axis intercepts of the graph of a quadratic function to the factorised form of its rule using the null factor law; for example, the graph of the function y=x2-5x+6 can be represented as y=x-2x-3 with x-axis intercepts where either x-2=0 or x-3=0
  • recognising that the equation x2=a, where a>0, has 2 solutions, x=a and x=-a (for example, if x2=39 then x=39=6.245 correct to 3 decimal places, or x=-39=-6.245 correct to 3 decimal places) and representing these graphically
  • graphing percentages of illumination of moon phases in relation to Aboriginal and Torres Strait Islander Peoples’ understandings that describe the different phases of the moon

  VC2M9A05 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VC2M9A07

  experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns 

  Elaborations

  • investigating transformations of the graph of y=x to the graph of y=ax+b by systematic variation of a and b and interpreting the effects of these transformations using digital tools; for example,
    y=x→y=2x (vertical enlargement as a>1) →y=2x-1 (vertical translation) and
     y=x→y=12x (vertical compression as 0<a<1) →y=-12x (reflection in the horizontal axis) →y=-12x+3 (vertical translation)
  • investigating transformations of the parabola y=x2 to the graph of y=ax-h2+b in the Cartesian plane using digital tools to determine the relationship between graphical and algebraic representations of quadratic functions, including the completed square form; for example,
    y=x2→y=13x2 (vertical compression as 0<a<1) →y=13(x-5)2 (horizontal translation) →y=13(x-5)2+7 (vertical translation) or
    y=x2→y=2x2 (vertical enlargement as a>1) →y=-2x2 (reflection in the horizontal axis) →y=-2(x+6)2 (horizontal translation) →y=-2x+62+10 (vertical translation)
  • experimenting with digital tools by applying transformations to the graphs of functions, such as reciprocal y=1x, square root y=x, cubic y=x3 and exponential functions y=2x, y=(12)x, identifying patterns

  VC2M9A07 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VCMNA336

  Solve linear inequalities and graph their solutions on a number line

  Elaborations

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

  VCMNA336 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMNA285

  Plot graphs of non-linear real life data with and without the use of digital technologies, and interpret and analyse these graphs

  Elaborations

  • investigating different combinations of length and width of a rectangle for a fixed area, and drawing the corresponding graph
  • using graphs to analysing change in the value of a currency against another currency over a specified period

  VCMNA285 | Mathematics | Level 8 | Number and Algebra | Linear and non-linear relationships

• VC2M9A04

  find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

  Elaborations

  • recognising that the gradient of a line is calculated using the gradient of a line segment on that line and is independent of which 2 distinct points on the line are used for this calculation
  • using digital tools and transformations to illustrate that parallel lines in the Cartesian plane have the same gradient and that the relationship between the gradients of pairs of perpendicular lines is that their product is (−1)
  • using Pythagoras’ theorem to establish the distance between 2 points in the Cartesian plane and applying this using horizontal and vertical distances and coordinates
  • investigating graphical and algebraic techniques for finding the midpoint and gradient of the line segment between 2 points
  • using dynamic graphing software and superimposed images (for example, playground equipment, ramps and escalators) to investigate gradients in context and their relationship to rule of a linear function, and interpret gradient as a constant rate of change in linear modelling contexts

  VC2M9A04 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VC2M1M03

  describe the duration and sequence of events using years, months, weeks, days and hours

  Elaborations

  • naming, listing and using familiar units of time, such as hours, days, weeks and years
  • comparing the number of days in the months of the year and explaining how the months cycle from one year to the next
  • sequencing familiar events, including representing time, on pictorial timelines
  • discussing events and activities and deciding whether they would take closer to an hour, a day, a week, a month or a year; for example, it takes a day for the sun to rise and fall and rise again, but it takes less than an hour for me to walk to school
  • investigating durations of time represented in Aboriginal and/or Torres Strait Islander seasonal calendars

  VC2M1M03 | Mathematics | Mathematics Version 2.0 | Level 1 | Measurement

• Languages | French: Structure

  Sequences of learning

  The French curriculum recognises that there are different entry points into language learning across F–10, which reflects current language teaching practice.

  There are two possible learning sequences:

  • F–10 sequence for students who begin to learn the language in...

  Overview material | French

• Languages | Italian: Structure

  Sequences of learning

  The Italian curriculum takes account of different entry points into language learning across F–10, which reflects current practice in language teaching.

  There are two possible learning sequences:

  • F–10 sequence for students who begin to learn the language in primary...

  Overview material | Italian

• VCEALC633

  Locate specific information from subject-based diagrams, graphs and charts

  Elaborations

  • identifying a sentence that describes a graph or image, for example ‘More than half of the class walks to school’
  • using labels or captions to identify specific features on a diagram, illustration or map

  VCEALC633 | Curriculum content | English as an Additional Language (EAL) | Level C2 | Reading and Viewing | Communication

• VCEALC697

  Extract information from a range of visual representations, including tables, graphs and diagrams

  Elaborations

  • connecting information in visual representations and print texts
  • using captions, labels and topic knowledge to identify specific features on a diagram or illustration
  • interpreting bar, column and pie charts to compare different results

  VCEALC697 | Curriculum content | English as an Additional Language (EAL) | Level C3 | Reading and Viewing | Communication

• VCMNA310

  Sketch linear graphs using the coordinates of two points and solve linear equations

  Elaborations

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

  VCMNA310 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMSP128

  Create displays of data using lists, table and picture graphs and interpret them

  Elaborations

  • creating picture graphs to represent data using one-to-one correspondence
  • comparing the usefulness of different data displays

  VCMSP128 | Mathematics | Level 2 | Statistics and Probability | Data representation and interpretation

• English | English as an Additional Language (EAL): Structure

  The English as an Additional Language (EAL) curriculum is organised by pathways, language modes and strands.

  Pathways

  The EAL curriculum is a continuum structured as three EAL pathways (A, B, C). Each pathway describes a different stage of English-language learning (early, mid and late), and...

  Overview material | English as an Additional Language (EAL)

• VCMSP149

  Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies

  Elaborations

  • exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations
  • collecting data to investigate features in the natural environment

  VCMSP149 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• Languages | Non-Roman Alphabet Languages: Learning in Non-Roman Alphabet Languages

  The Victorian Curriculum and Assessment Authority has developed a curriculum for Non-Roman Alphabet languages which will allow these languages to be offered by a Victorian school where there is no specific curriculum available. 

  Diversity of language students

  Understanding the diverse language...

  Overview material | Non-Roman Alphabet Languages

• Languages | Roman Alphabet Languages: Learning in Roman Alphabet Languages

  The Victorian Curriculum and Assessment Authority has developed a curriculum for Roman Alphabet languages which will allow these languages to be offered by a Victorian school where there is no specific curriculum available.

  Diversity of language students

  Understanding the diverse language backgrounds...

  Overview material | Roman Alphabet Languages