Year 7 - Maths
Checking and securing converting improper fractions to mixed 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 use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
Key Notes
- Fractions where the denominator and numerator are the same are equal to one.
- Fractions where the numerator is less than the denominator are less than one.
- Fractions where the numerator is greater than the denominator are greater than one.
- Improper fractions can be written as a whole number and a proper fraction.
- Improper fractions can be converted to mixed numbers.
Vocabulary To Learn
- Proper: A proper fraction is a fraction where the numerator is less than the denominator.
- Improper: 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
- A mixed number can be confused with an integer multiplying by the proper 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 denominator and numerator are the same are equal to one. Fractions where the numerator is less than the denominator are less than one.
2. Use this key word in a maths sentence and explain it clearly. 'Proper'
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: A mixed number can be confused with an integer multiplying by the proper fraction. Correction: Emphasise the language eg. 3 and a 1/2 means 3 + 1/2.
More Lessons In This Unit
- Between 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.