Year 7 - Maths
Problem solving with fractions and decimals
Comparing and ordering fractions and decimals (positive and negative)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.
Lesson Summary
You will learn to use your knowledge of fractions and decimals to solve problems.
Key Notes
- Fractions can be used to solve problems in context.
- Converting to decimals may be useful to solve problems in context.
- It may be necessary to order a set of fractions and decimals to solve problems in context.
- Fractions and decimals can be useful in solving in many real world problems.
Vocabulary To Learn
- Improper fraction: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- Proportion: Proportion is a part to whole (sometimes part to part) comparison.
Common Mistakes To Avoid
- Assuming that there are 100 minutes in an hour and converting 3.25 hours to 3 hours 25 minutes.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Fractions can be used to solve problems in context. Converting to decimals may be useful to solve problems in context.
2. Use this key word in a maths sentence and explain it clearly. 'Improper fraction'
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Assuming that there are 100 minutes in an hour and converting 3.25 hours to 3 hours 25 minutes. Correction: Start with half an hour, pupils should be happy that half an hour is 30 mins, show it written as a decimal to highlight it's not 3.3 hours.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers Study Guide
- Checking and securing converting mixed numbers to improper fractions Study Guide
- Checking and securing understanding of fractions Study Guide
- Converting fractions to recurring decimals Study Guide
- Converting fractions to terminating decimals Study Guide
- Converting fractions with technology Study Guide
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals Study Guide
- Ordering fractions by converting Study Guide
- Ordering fractions by way of a common denominator Study Guide
- Ordering fractions in different ways Study Guide
- Ordering negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Simplifying fractions Study Guide
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.