Year 7 - Maths
Checking understanding of multiplication 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 use the mathematical structures that underpin the multiplication of fractions.
Key Notes
- An array can help expose the structure behind multiplying fractions.
- The denominators give us the number of rows and columns.
- By shading one fraction of the whole, you can then shade a fraction of the fraction shown.
- When multiplying you multiply the numerators together and the denominators together.
- You can use equivalent fractions to be more efficient.
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
- Use of inefficient methods to multiply fractions, i.e. not considering common factors.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An array can help expose the structure behind multiplying fractions. The denominators give us the number of rows and columns.
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: Use of inefficient methods to multiply fractions, i.e. not considering common factors. Correction: The use of fractions with large numerators and denominators can be used to highlight when this is a useful method.
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
- 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 addition and subtraction with fractions Study Guide
- Securing understanding of multiplication with fractions Study Guide
Browse all guides in the Year 7 Maths guide library.