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MathidiaMathematics Academy
Proportion and rates
Lesson 52 of 75
Easy practice

The unitary method

Objective. Find one unit first, then scale to the required amount.

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

Learn: the key idea

The unitary method is built on a small number of dependable facts. Scale quantities and compare rates in realistic situations. 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

If 3 tickets cost £12, what do 5 tickets cost?

£12.00
Money illustration for £12
  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: £20.

Answer: £20

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Practice

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Common mistake. A common mistake in the unitary method 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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