Year 7 - Maths
Deepening 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 generalise and fluently use strategies to multiply with mixed numbers.
Key Notes
- Mixed numbers can be converted into improper fractions.
- It is not necessary to convert both fractions.
- Each fraction should be considered to decide the most efficient way to convert.
Vocabulary To Learn
- Product: A product is the result of two or more numbers multiplied together.
- 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
- Only finding the product of the integers and fractional parts when multiplying mixed numbers.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Mixed numbers can be converted into improper fractions. It is not necessary to convert both fractions.
2. Use this key word in a maths sentence and explain it clearly. 'Product'
A product is the result of two or more numbers multiplied together. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Only finding the product of the integers and fractional parts when multiplying mixed numbers. Correction: Link back to the area model, there will be 2 parts which they have not found the area of.
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
- 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.