Year 7 - Maths
Ordering fractions in different ways
Comparing and ordering fractions and decimals (positive and negative)
Study Hub
Study Guides
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 compare and order fractions using a range of techniques.
Key Notes
- Two fractions can be compared when they have the same numerator.
- Two fractions can be compared by comparing their respective differences from 1.
Vocabulary To Learn
- Denominator: A denominator is the expression in a fraction that is written below the fraction line. It is the divisor.
- Numerator: A numerator is the expression in a fraction that is written above the fraction line. It is the dividend.
- Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator.
Common Mistakes To Avoid
- That fractions can only be compared using a common denominator.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Two fractions can be compared when they have the same numerator. Two fractions can be compared by comparing their respective differences from 1.
2. Use this key word in a maths sentence and explain it clearly. 'Denominator'
A denominator is the expression in a fraction that is written below the fraction line. It is the divisor. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That fractions can only be compared using a common denominator. Correction: Lots of visual representations are useful here looking at what happens to the size of the 'parts' as the denominator increases.
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 negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Problem solving with 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.