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Year 5 - Maths

Explain that decimal numbers with tenths can be composed additively

Compose and calculate with decimals including column addition and subtraction

Unit Summary

In this unit pupils will extend their understanding of formal calculation strategies to use column methods to add and subtract with decimal numbers.

Lesson Summary

You will learn to explain that decimal numbers with tenths can be represented as addition.

Key Notes

  • Use part-part-whole models to partition decimal numbers into the whole number and fraction parts.
  • Number with whole number and decimal parts can be represented as addition and subtraction equations.
  • The whole number and decimal parts of a number can be represented on a number line.

Vocabulary To Learn

  • Decimal number: A decimal number has a decimal point followed by digits that show the fractional part.
  • Partition / partitioning: Partitioning is the act of splitting an object or value down into smaller parts..
  • Equation: An equation is used to show that one number, calculation or expression is equal to another. For example: 3 + 4 = 7
  • Expression: An expression contains one or more values, where each value is separated by an operator. For example: 3 + 4

Common Mistakes To Avoid

  • Pupils understand the equals sign as 'where the answer is' rather than equality between expressions.

3 Quick Questions (With Answers)

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

Use part-part-whole models to partition decimal numbers into the whole number and fraction parts. Number with whole number and decimal parts can be represented as addition and subtraction equations.

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

A decimal number has a decimal point followed by digits that show the fractional part. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils understand the equals sign as 'where the answer is' rather than equality between expressions. Correction: Spend time moving addition and subtraction expressions to either side of the equals sign using numbers within 10 before moving to tenths.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.