Year 7 - Maths
Ordering positive and negative 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 order a variety of positive and negative fractions and decimals using appropriate methods of conversion and recognising when conversion to a common format is not required.
Key Notes
- There are multiple methods to order a list of positive and negative decimals.
- There are multiple methods to order a list of positive and negative fractions.
- There are multiple ways to order a list that contains positive and negative decimals and fractions.
- Some methods are more time consuming than others.
- Identifying the most efficient method to compare and order fractions and decimals can save time.
Vocabulary To Learn
- Absolute value: The absolute value of a number is its distance from zero.
Common Mistakes To Avoid
- Changing all fractions and decimals to a common format without considering obvious comparisons.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There are multiple methods to order a list of positive and negative decimals. There are multiple methods to order a list of positive and negative fractions.
2. Use this key word in a maths sentence and explain it clearly. 'Absolute value'
The absolute value of a number is its distance from zero. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Changing all fractions and decimals to a common format without considering obvious comparisons. Correction: This could be an opportunity to talk about familiar conversions including halves, quarters and fifths.
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
- 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.