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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 3

Geometric measure A
Position: Explore the Cartesian coordinate system
  • Recognise that the grid-map reference system gives the area of a location and the number plane identifies a specific point

  • Identify that in the coordinate system the lines are numbered, not the spaces

  • Identify the point of intersection of the 2 axes as the origin, having coordinates (0, 0)

  • Plot and label points, given coordinates, on the number plane in the first quadrant, describing the horizontal position first, followed by the vertical position

  • Identify and record the coordinates of given points on the number plane in the first quadrant

Length: Use metres and kilometres for length and distances
  • Recognise the need for a formal unit longer than the metre for measuring distance

  • Estimate lengths and distances using an appropriate unit

  • Record distances using the abbreviation for kilometres (km)

  • Use a variety of measuring devices to measure lengths and distances in different contexts

Length: Measure lengths to find perimeters
  • Use efficient strategies to calculate the perimeter of a large rectangular area in metres

  • Calculate perimeters of common two-dimensional shapes, including squares, rectangles and triangles

  • Determine which side lengths are needed to find the perimeter of a shape (Reasons about relations)

  • Recognise that rectangles with the same perimeter may have different dimensions (Spatial reasoning)

Angles: Estimate, measure and compare angles using degrees
  • Identify the arms and vertex of an angle where both arms are invisible, such as for rotations

  • Explain how a protractor is formed and used to measure an angle

  • Estimate and describe the size of angles using known angles as benchmarks (Reasons about mental rotation)

  • Record angle measurements using the symbol for degrees (°)

  • Measure angles of up to 360° using a protractor

Angles: Use a protractor to measure and identify types of angles
  • Create angles of up to 360° using a protractor

  • Recognise that a right angle is 90°, a straight angle is 180° and an angle of revolution is 360°

  • Identify and describe angle size in degrees for the classifications acute, obtuse and reflex

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