Year 7 - Maths
Securing understanding of addition and subtraction with fractions
Arithmetic procedures with fractions
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.
Lesson Summary
You will learn to generalise and fluently use addition and subtraction strategies to calculate with fractions and mixed numbers.
Key Notes
- To make the denominators the same, you may need to scale up or down.
- It can be easier to add/subtract the wholes and then add/subtract the fractions.
- Improper fractions can help when exchanging/regrouping is required.
Vocabulary To Learn
- 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.
- LCM: LCM is an abbreviation for lowest common multiple.
Common Mistakes To Avoid
- When partitioning mixed numbers and subtracting incorrectly subtracting the fractional part.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
To make the denominators the same, you may need to scale up or down. It can be easier to add/subtract the wholes and then add/subtract the fractions.
2. Use this key word in a maths sentence and explain it clearly. 'Improper fraction'
An improper fraction is a fraction where the numerator is greater than or equal to 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: When partitioning mixed numbers and subtracting incorrectly subtracting the fractional part. Correction: Use an integer example to show the structure of partitioning. E.g. 28 - 15 = (20 + 8) - (10 + 5) = (20 - 10) + (8 - 5) not (20 - 10)-(8 - 5).
More Lessons In This Unit
- Checking and securing dividing a fraction by a whole number Study Guide
- Checking understanding of addition and subtraction with fractions Study Guide
- Checking understanding of multiplication with fractions Study Guide
- Deepening understanding of multiplication with fractions Study Guide
- Dividing a fraction by a fraction Study Guide
- Dividing a whole number by a fraction Study Guide
- Priority of operations with positive and negative integers, decimals and fractions Study Guide
- Problem solving with arithmetic procedures involving fractions Study Guide
- Securing understanding of multiplication with fractions Study Guide
Browse all guides in the Year 7 Maths guide library.