Year 7 - Maths
Problem solving with place value
Place value
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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 revisit, secure and develop their understanding of place value with integers, decimals, fractions, metric and imperial units. This knowledge is then extended to order and compare numbers of increasing complexity.
Lesson Summary
You will learn to use your knowledge of place value to solve problems.
Key Notes
- Measures are not always presented in the same format.
- Sometimes a measure must be converted into a desired format.
- Real-life context can be useful in determining the most useful unit of measurement.
Vocabulary To Learn
- Metric: Metric units are based around the standard units of metre, gram and litre.
- Prefix: A prefix is a group of letters attached to the front of a root (word) to make a new word, for example tricycle.
- Centi: Centi placed before a unit means (1/100)
- Milli: Milli placed before a unit means (1/1000)
- Kilo: Kilo placed before a unit means 1000 times.
Common Mistakes To Avoid
- You have to convert to the same unit to decide if a measure is the same as another.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Measures are not always presented in the same format. Sometimes a measure must be converted into a desired format.
2. Use this key word in a maths sentence and explain it clearly. 'Metric'
Metric units are based around the standard units of metre, gram and litre. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: You have to convert to the same unit to decide if a measure is the same as another. Correction: For metric units it is possible to compare the digits. Any conversion within metric has the same digits in the same order.
More Lessons In This Unit
- Checking understanding of ordering and comparing numbers Study Guide
- Checking understanding of place value in integers Study Guide
- Checking understanding of place value in metric units Study Guide
- Deepening understanding of place value in integers Study Guide
- Exponential and fractional column headings Study Guide
- Place value in decimals Study Guide
- Place value in imperial units Study Guide
- Securing understanding of ordering and comparing numbers Study Guide
- Securing understanding of place value in integers Study Guide
- Securing understanding of place value in metric units Study Guide
Browse all guides in the Year 7 Maths guide library.