Year 2 - Maths
Represent multiplication equations in different ways
Representing counting in 5s as the 5 times table and link to the 10 times tables
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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 represent the 5-times table in different ways. They will explain the relationship between adjacent multiples of 5 and how 5- and 10-times tables are related. 
Lesson Summary
You will learn to represent multiplication equations in different ways.
Key Notes
- The same multiplication can be represented in two different ways.
- If you have 5 groups of 2 you have 2 five times so 5 x 2 = 2 x 5
- Factor pairs can be written in any order.
- You can say that multiplication is commutative.
Vocabulary To Learn
- Commutative: An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
- Factor pairs: A set of two factors, which, when multiplied together, give a particular product.
Common Mistakes To Avoid
- Pupils may confuse the number of groups and group size.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The same multiplication can be represented in two different ways. If you have 5 groups of 2 you have 2 five times so 5 x 2 = 2 x 5.
2. Use this key word in a maths sentence and explain it clearly. 'Commutative'
An operation is commutative if the values it is operating on can be written in either order without changing the calculation. 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 confuse the number of groups and group size. Correction: Continue to use the number stems and arrays to highlight the relationship between the factors and products.
More Lessons In This Unit
- Explain how a factor of zero or one affects the product Study Guide
- Explain how a multiplication equation with 2 as a factor is related to doubling Study Guide
- Explain how groups of five and ten are related Study Guide
- Explain the relationship between multiples of five and ten Study Guide
- Explain what each factor represents in a multiplication story Study Guide
- Explain what each factor represents in a multiplication story when one of the factors is one Study Guide
- Use knowledge of the 2, 5 and 10 times tables to solve problems Study Guide
- Use knowledge of the 2, 5 and 10 times tables to solve problems in a range of contexts Study Guide
- Use knowledge of the relationships between the 5 and 10 times tables to solve problems Study Guide
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