Year 7 - Maths
Checking and securing understanding of fractions
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 represent fractions as numbers.
Key Notes
- Proper fractions represented in diagrams can be written as numbers.
- Improper fractions represented in diagrams can be written as numbers.
- Some fractions represented in diagrams cannot be written as numbers.
Vocabulary To Learn
- Numerator: The expression in a fraction that is written above the fraction line. It is the dividend.
- Denominator: The expression in a fraction that is written below the fraction line. It is the divisor.
Common Mistakes To Avoid
- When dividing a number line, there is confusion between the intervals and lines.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Proper fractions represented in diagrams can be written as numbers. Improper fractions represented in diagrams can be written as numbers.
2. Use this key word in a maths sentence and explain it clearly. 'Numerator'
The expression in a fraction that is written above the fraction line. It is the dividend. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When dividing a number line, there is confusion between the intervals and lines. Correction: Pupils can write the number on each mark on the number line to ensure equal intervals.
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
- 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
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.