Year 7 - Maths
The identity property of multiplication and division
Comparing and ordering fractions and decimals (positive and negative)
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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 use the fact that 1 can be written in the form n/n and vice versa.
Key Notes
- Anything multiplied by one is itself.
- Anything divided by one is itself.
- One can be written in infinitely many ways using fractions because anything divided by itself is one.
- When a fraction is multiplied by 1 it remains the same but may look different.
- When a fraction is divided by 1 it remains the same but may look different.
Vocabulary To Learn
- Equivalent fractions: Two fractions are equivalent if they have the same value
Common Mistakes To Avoid
- As the denominator is larger the value of the fraction is larger.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Anything multiplied by one is itself. Anything divided by one is itself.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalent fractions'
Two fractions are equivalent if they have the same value. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: As the denominator is larger the value of the fraction is larger. Correction: An analogy of sharing pizza helps students understand. Would pupils get a bigger slice of pizza if it was shared between more people?
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
- Problem solving with fractions and decimals Study Guide
- Simplifying fractions Study Guide
Browse all guides in the Year 7 Maths guide library.