Mathematics · Interactive learning companion

Coordinates System

Read ordered pairs on the game’s non-negative Cartesian grid, using the marked origin and labelled axes.

Landscape activity · use fullscreen on a phone for larger controls

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📝 Description

Coordinates System helps learners practice locating points on a grid using ordered pairs. It supports coordinate geometry, map-style thinking, observation, and classroom mathematics revision.

📋 Instructions

Use the grid to identify each figure's coordinates. Drag and drop or select the correct ordered pair as directed.

🎓 Learning Guide: Coordinates System

Learning focus: Read ordered pairs on the game’s non-negative Cartesian grid, using the marked origin and labelled axes.

Mathematics Interactive learning companion

Learning objectives

  • Identify the origin and the positive direction on each axis.
  • Interpret the first coordinate as horizontal position and the second as vertical position.

Concepts and principles

  • In the displayed Cartesian grid, x is horizontal and y is vertical.
  • The game grid runs from 0 to 10 on each axis, so its locations are in the first quadrant or on an axis.
  • Order matters: (x,y) means move x units horizontally from the origin, then y units vertically.

Examples and worked solutions

Where is (2,3) on the displayed grid?
Worked solution: Two units to the right of the origin and three units up.

Try this investigation

  1. For each object, read its horizontal x-position first and its vertical y-position second.
  2. Drag the object to the matching ordered pair, then check both axis readings before submitting.

Expected observations and explanations

  • Reversing the two coordinates usually produces a different location even though the same numbers are used.

Assessment questions and answers

Would (2,3) and (3,2) identify the same point?
Answer: No. Their horizontal and vertical positions are exchanged.

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