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MathidiaMathematics Academy
Coordinates, graphs and transformations
Lesson 67 of 75
Easy practice

Coordinate problems

Objective. Use properties of shapes to determine missing vertices.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Coordinate problems is built on a small number of dependable facts. Represent position, relationships and movement in two dimensions. Represent the information first, choose a method deliberately, show each step and use an inverse operation or estimate to check that the result fits the question.

Worked example

Select the point with x-coordinate −3 and y-coordinate 1.

3 … 1
Coordinate grid with the line 3 … 1
  1. 1Identify the mathematical information and what must be found.
  2. 2Represent it with a number line, diagram, table or expression where helpful.
  3. 3Apply the relevant fact carefully and keep each line clear.
  4. 4Check the result against the conditions in the question: (-3, 1).

Answer: (-3, 1)

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

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Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

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Common mistake. A common mistake in coordinate problems is to apply a remembered procedure before reading the signs, units or order carefully. Write the structure first, then calculate and check.

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