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Year 7 - Maths

Problem solving with arithmetic procedures involving fractions

Arithmetic procedures with fractions

Unit Summary

This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.

Lesson Summary

You will learn to use your knowledge of arithmetic procedures involving fractions to solve problems.

Key Notes

  • When calculating with fractions and decimals, a common form can be easier.
  • A calculator removes the need for a common form.
  • The commutative law can be applied to make calculations easier.

Vocabulary To Learn

  • Mixed number: A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.

Common Mistakes To Avoid

  • Incorrectly inputting a mixed number into the scientific calculator.

3 Quick Questions (With Answers)

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

When calculating with fractions and decimals, a common form can be easier. A calculator removes the need for a common form.

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

A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Incorrectly inputting a mixed number into the scientific calculator. Correction: A mixed number has it's own separate button. Incorrectly inputting in the mixed number will return brackets on the calculator screen.

More Lessons In This Unit

Browse all guides in the Year 7 Maths guide library.