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Year 10 - Maths

Writing equations from ratios

Ratio

Unit Summary

In this unit pupils will learn how to combine ratios, interpret algebraic ratios, and investigate quantity changes and their effect on ratios.

Lesson Summary

You will learn to write equations involving ratios.

Key Notes

  • Ratios can be written as fractions.
  • A ratio can be used to write an equation.
  • This equation is another way of representing how the two quantities are connected.
  • Either of the quantities can be the subject.

Vocabulary To Learn

  • Ratio: A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
  • Coefficient: A numerical coefficient is a constant multiplier of the variables in a term.
  • Equation: An equation is used to show 2 expressions that are equal to each other.

Common Mistakes To Avoid

  • When $$x : y$$ are in the ratio 1 : 2 pupils write the equation as $$x = 2y$$

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Ratios can be written as fractions. A ratio can be used to write an equation.

2. Use this key word in a maths sentence and explain it clearly. 'Ratio'

A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: When $$x : y$$ are in the ratio 1 : 2 pupils write the equation as $$x = 2y$$. Correction: The bar models shown in this lesson can help to support pupils with this.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.