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Year 6 - Maths

Using redistribution with addition of decimal fractions

Use equivalence and compensation to simplify and solve addition calculations

Unit Summary

In this unit pupils used the concept of same sum to simplify and solve addition problems.

Lesson Summary

You will learn to use redistribution with addition of decimal fractions.

Key Notes

  • If one part is increased and the other is decreased by the same amount, the whole stays the same.
  • If one part is decreased and the other is increased by the same amount, the whole stays the same.
  • Redistributing between parts with the whole staying the same is sometimes known as the 'same sum' rule.

Vocabulary To Learn

  • Redistribution: Redistribution is where part of one addend is moved to another addend. It is sometimes known as the same sum rule.
  • Decimal fraction: A decimal fraction is a fraction written as a decimal. A decimal point separates whole numbers from decimal fractions.
  • Whole: The whole is all the parts or everything, the total amount.
  • Part: A part is some of the whole.

Common Mistakes To Avoid

  • Children may struggle to not immediately rush to making use of a written method such as columns addition.

3 Quick Questions (With Answers)

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

If one part is increased and the other is decreased by the same amount, the whole stays the same. If one part is decreased and the other is increased by the same amount, the whole stays the same.

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

Redistribution is where part of one addend is moved to another addend. It is sometimes known as the same sum rule. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Children may struggle to not immediately rush to making use of a written method such as columns addition. Correction: Encourage the children to be resilient and remind them that practice makes perfect.

More Lessons In This Unit

Browse all guides in the Year 6 Maths guide library.