Understanding Cartesian plane and co-ordinates

Read and write ordered pairs on a Cartesian plane; identify axes, origin, quadrants, and axis points; and compare points using shared coordinates.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-8
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-10
  • NZC26-P3-ALG-ER-K-Y7-07
  • NZC26-P3-ALG-ER-P-Y7-06

Resources

  • Alpha textbook: Alpha Textbook — Mathematical coordinates, Ex 16.01, pp. 260–261
  • Alpha textbook: Alpha Textbook — Using coordinates with integers, Ex 16.02, pp. 262–263
  • CorbettMaths — CoordinatesQuestions PDF · Answers
  • Dr Austin Maths — Coordinates and Straight Lines Practice GridQuestions PDF · Answers

Terminology

  • Cartesian plane
  • X-axis
  • Y-axis
  • Co-ordinate
  • origin
  • quadrant
  • ordered pair
  • axes

Task goals

  • Write the coordinates of a point in (x,y) form.
  • Plot a point on the Cartesian plane given its coordinates.
  • Understand how positive and negative values correspond to directions on the axes.
  • Identify which quadrant a point lies in based on its coordinates.
  • Locate coordinates of points that lie on the axes.

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Understanding Cartesian plane and co-ordinates

Understanding Cartesian plane and co-ordinates

Do

Using tables and graphs in the coordinate plane (showing all four quadrants), and diagrams to recognise the relationship between the ordinal position and its corresponding element in a linear pattern, developing a rule for the pattern in words and making conjectures about further elements in the pattern

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-10

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