Locate objects in three dimensions
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Log in to continueRead three coordinates, describe positions in words and track changes along each axis.
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The coordinates are measured in metres from the origin. How high above the origin is P?
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Point P has coordinates x = 2, y = 3, z = 4; the axes point east, north and up respectively.
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Answer: 4 m
- The z-axis is labelled up, so the third coordinate gives height.
- z = 4, so P is 4 m above the origin.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Read three coordinates, describe positions in words and track changes along each axis.
Read the official VCAA curriculum description (VC2M8SP03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8SP03-C01Interpret x, y and z coordinates with defined axis directions.
- VC2M8SP03-C02Describe movement and location using three-dimensional coordinates.
- VC2M8SP03-C03Use a digital three-dimensional model and compare verbal, coordinate and projected descriptions.
- VC2M8SP03-C04Apply and explain locate objects in three dimensions using read and connect representations.
- VC2M8SP03-C05Apply and explain locate objects in three dimensions using build and check a model.
- VC2M8SP03-C06Apply and explain locate objects in three dimensions using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01An ordered triple gives a positionInterpret x, y and z coordinates with defined axis directions.
- D02Change one direction at a timeDescribe movement and location using three-dimensional coordinates.
- D03Read and connect representationsApply and explain locate objects in three dimensions using read and connect representations.
- D04Build and check a modelApply and explain locate objects in three dimensions using build and check a model.
- D05Work backwards from what is knownApply and explain locate objects in three dimensions using work backwards from what is known.