Year 5 - Maths
Solve problems with numbers with up to 3 decimal places
Use knowledge of decimals to solve problems in different contexts: length
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will use their knowledge of decimal place value to convert between and compare metres and centimetres explaining that different lengths can be composed additively and multiplicatively.
Lesson Summary
You will learn to solve problems with numbers with up to 3 decimal places.
Key Notes
- Apply known facts and place value to solve problems involving up to 3 decimal places.
- Extend column addition and subtraction to include numbers with up to 3 decimal places.
- Use number facts to 10 to bridge through ones, tenths and hundredths.
Vocabulary To Learn
- Represent: A representation is a way of showing a mathematical idea. Concrete objects, pictures and symbols can all be used to represent mathematics.
- Operation: A mathematical process such as addition, subtraction, multiplication or division can be described as an operation.
- Efficient: An efficient strategy is a way of solving a problem that is accurate and can be done more quickly than others.
Common Mistakes To Avoid
- Pupils may look to adopt a formal written strategy straight away when this is not necessary.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Apply known facts and place value to solve problems involving up to 3 decimal places. Extend column addition and subtraction to include numbers with up to 3 decimal places.
2. Use this key word in a maths sentence and explain it clearly. 'Represent'
A representation is a way of showing a mathematical idea. Concrete objects, pictures and symbols can all be used to represent mathematics. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may look to adopt a formal written strategy straight away when this is not necessary. Correction: Share different strategies utilised by pupils within the lesson and compare these to expand pupils' understanding of efficiency.
More Lessons In This Unit
- Compare and order numbers with up to 3 decimal places Study Guide
- Explain that different lengths can be composed additively and multiplicatively Study Guide
- Read and write numbers with up to 3 decimal places Study Guide
- Round a decimal number with hundredths to the nearest tenth Study Guide
- Round a decimal number with hundredths to the nearest whole number Study Guide
- Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths Study Guide
- Use knowledge of decimal place value to convert between and compare metres and centimetres Study Guide
- Use knowledge of decimal place value to solve problems in different contexts Study Guide
- Use knowledge of place value to calculate with decimal numbers up to and bridging one tenth Study Guide
Browse all guides in the Year 5 Maths guide library.