Year 4 - Maths
Explain what each factor represents in a multiplication equation
Understand and represent multiplicative structures
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will explain how each part of a multiplication and division equation relates to a story. They will partition one of the factors in a multiplication equation in different ways using representations.
Lesson Summary
You will learn to explain what each factor represents in a multiplication equation.
Key Notes
- Factors can either represent the number of groups or the size of each group.
- Factors are commutative so they can swap positions within a multiplication equation and the product remains the same.
- When looking at multiplication expressions, the factors can be interpreted in two different ways to give two images.
Vocabulary To Learn
- Factor: A factor is a whole number which divides exactly into another whole number.
- Product: A product is the result of two or more numbers being multiplied.
- Commutative: In addition and multiplication, numbers may be added or multiplied together in any order. This is called commutativity.
Common Mistakes To Avoid
- Pupils may struggle to identify whether a factor is representing the group size or the number of groups, particularly when their position in the equation is swapped to show commutativity.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Factors can either represent the number of groups or the size of each group. Factors are commutative so they can swap positions within a multiplication equation and the product remains the same.
2. Use this key word in a maths sentence and explain it clearly. 'Factor'
A factor is a whole number which divides exactly into another whole number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may struggle to identify whether a factor is representing the group size or the number of groups, particularly when their position in the equation is swapped to show commutativity. Correction: Give children concrete examples to look at, such as jars of marbles, boxes of erasers or pots of pencils and write corresponding multiplication equations, identifying the factor that represents group size and the one that represents number of groups.
More Lessons In This Unit
- Explain how each part of a multiplication and division equation relates to a story Study Guide
- Explain where zero can be part of a multiplication or division expression and the impact it has Study Guide
- Explain which is the most efficient factor to partition to solve a multiplication problem Study Guide
- Partition one of the factors in a multiplication equation using representations Study Guide
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