Year 3 - Maths
Explain the relationship between multiples of 2 and multiples of 4
2, 4 and 8 times tables: using times tables to solve problems
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Study Guides
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 solve multiplication and division problems using knowledge of the scaling relationships between the 2-, 4- and 8-times tables.
Lesson Summary
You will learn to explain the relationship between multiples of 2 and multiples of 4.
Key Notes
- Multiples of 4 are double the multiples of 2
- Multiples of 2 are half the multiples of 4
- Multiples of 4 are all multiples of 2 but not all multiples of 2 are multiples of 4
Vocabulary To Learn
- Multiple: A multiple is the result of multiplying a number by another whole number.
- Doubling: Doubling is the act of becoming twice as many.
- Halving: Halving means to divide into two equal parts.
Common Mistakes To Avoid
- Pupils may generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiples of 4 are double the multiples of 2. Multiples of 2 are half the multiples of 4.
2. Use this key word in a maths sentence and explain it clearly. 'Multiple'
A multiple is the result of multiplying a number by 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 generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4. Correction: Show children the relationship between 2s and 4s using the multiplication chart. Make clear that identifying the last digit as even is the first step - the last 2 digits should be a multiple of 4. Encourage discussions to highlight the relationship.
More Lessons In This Unit
- Explain the relationship between adjacent multiples of eight Study Guide
- Explain the relationship between adjacent multiples of four Study Guide
- Explain the relationship between multiples of 4 and multiples of 8 Study Guide
- Explain the relationship between the multiples of 2, 4 and 8 Study Guide
- Represent counting in eights as the 8 times table Study Guide
- Represent counting in fours as the 4 times table Study Guide
- Scale divisions derived from multiplication facts by 10 Study Guide
- Scale known multiplication facts by 10 Study Guide
- Use knowledge of the 4 times table to solve problems Study Guide
- Use knowledge of the divisibility rules for divisors 8 to solve problems Study Guide
- Use knowledge of the divisibility rules for divisors of 2 and 4 to solve problems Study Guide
- Use knowledge of the relationship between the 2 and 4 times tables to solve problems Study Guide
- Use knowledge of the relationship between the 2, 4 and 8 times tables to solve problems Study Guide
- Use knowledge of the relationship between the 4 and 8 times tables to solve problems Study Guide
Browse all guides in the Year 3 Maths guide library.