Year 7 - Maths
Between numbers
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 appreciate that, for any two numbers, there is always another number in between them.
Key Notes
- Using a number line you can find numbers between two integers.
- Using a number line you can find numbers between two proper fractions.
- Using a number line you can find numbers between two decimals..
- Using a number it is always possible to find a number between two other numbers.
Vocabulary To Learn
- Equivalent fraction: Two fractions are equivalent if they have the same value.
- Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator.
- Lowest common multiple: The lowest common multiple is the lowest number that is a multiple of two or more numbers.
Common Mistakes To Avoid
- When decimals go beyond thousandths you cannot find a number between 2 numbers.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Using a number line you can find numbers between two integers. Using a number line you can find numbers between two proper fractions.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalent fraction'
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: When decimals go beyond thousandths you cannot find a number between 2 numbers. Correction: Use a 'zoomable' number line to show what happens as we zoom in.
More Lessons In This Unit
- 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
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.