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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 4

Linear relationships
Plot and identify points on the Cartesian plane
  • Plot and label points on the Cartesian plane of given coordinates, including those with coordinates that are not whole numbers

  • Identify and record the coordinates of given points on the Cartesian plane, including those with coordinates that are not whole numbers

Plot linear relationships on the Cartesian plane
  • Construct a geometric pattern and record the results in a table of values

  • Represent a given number pattern (including decreasing patterns) using a table of values

  • Describe a number pattern in words and generate an equation using algebraic symbols

  • Apply an equation generated from a pattern to calculate the corresponding value for a smaller or larger number

  • Recognise that a linear relationship can be represented by a number pattern, an equation (or a rule using algebraic symbols), a table of values, a set of pairs of coordinates and a line graphed on a Cartesian plane, and move flexibly between these representations

  • Explain that there are an infinite number of ordered pairs that satisfy a given linear relationship by extending a line joining a set of points on the Cartesian plane

  • Compare similarities and differences of multiple straight-line graphs on the same set of axes using graphing applications

  • Describe linear relationships in real-life contexts and solve related problems

Solve linear equations using graphical techniques
  • Recognise that each point on the graph of a linear relationship satisfies the equation of a line

  • Apply graphs of linear relationships to solve a corresponding linear equation using graphing applications

  • Graph 2 intersecting lines on the same set of axes and identify the point of intersection using either graphing applications or a table of values

  • Verify that the point of intersection satisfies the equations of both lines

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