Year 3 - Maths
Use knowledge of the divisibility rules for divisors of 2 and 4 to solve problems
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 solve problems using knowledge of the divisibility rules for 2 and 4.
Key Notes
- If you can halve a number then it must be a multiple of 2 and divisible by 2
- If you can halve a number and halve again then it must be a multiple 4 and divisible by 4
- If a number is divisible by 4 then it must be divisible by 2
Vocabulary To Learn
- Divisibility: Divisibility is when division of a number results in another whole number.
- Divisor: A divisor is a number that divides the integer exactly (no remainder).
- Multiple: A multiple is the result of multiplying a number by another whole number.
- Half / halve: A half is one of two equal parts of a whole.
Common Mistakes To Avoid
- Lack of fluency in 2s and 4s times tables and not understanding the divisibility rules or the problems.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If you can halve a number then it must be a multiple of 2 and divisible by 2. If you can halve a number and halve again then it must be a multiple 4 and divisible by 4.
2. Use this key word in a maths sentence and explain it clearly. 'Divisibility'
Divisibility is when division of a number results in 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: Lack of fluency in 2s and 4s times tables and not understanding the divisibility rules or the problems. Correction: To clearly model highlighting key words of worded problems to understand the problem and the operation required for the calculation. Continue to use language stems such as 'If I know...' 'Then I know...,' to support mathematical thinking.
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 2 and multiples of 4 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 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.