Year 7 - Maths
Checking and securing converting mixed numbers to improper 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 use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from mixed numbers to improper fractions.
Key Notes
- Fractions where the numerator is greater than the denominator are greater than one.
- Whole numbers can be written as improper fractions.
- Mixed numbers can be converted into improper fractions.
- It may be helpful to switch between mixed number and improper fractions depending on the context.
Vocabulary To Learn
- Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator.
- Improper fraction: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- Mixed number: A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.
Common Mistakes To Avoid
- Some pupils can miscalculate the mixed number to an improper fraction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Fractions where the numerator is greater than the denominator are greater than one. Whole numbers can be written as improper fractions.
2. Use this key word in a maths sentence and explain it clearly. 'Proper fraction'
A proper fraction is a fraction where the numerator is less than the denominator. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Some pupils can miscalculate the mixed number to an improper fraction. Correction: For smaller numbers, encourage pupils to draw bar models or diagrams to show the relationship between the whole and the improper fraction.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers 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.