Year 4 - Maths
Use divisibility rules for 3, 4, 6 and 8 times tables to solve problems
7 times table: odd and even patterns, square numbers and tests of divisibility
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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 represent counting in sevens as the 7-table, explaining the relationship between adjacent multiples. The unit also looks at odd and even patterns in times tables and identifies square numbers.
Lesson Summary
You can use divisibility rules for 3, 4, 6 and 8 times tables to solve problems.
Key Notes
- Multiples of 3 have a digit sum of a multiple of 3 and multiples of 6 are even multiples of 3
- If you can halve a number twice and get a whole number then the original number is a multiple of 4
- If you can halve a multiple of 4 and get a whole number then the original number is a multiple of 8
Vocabulary To Learn
- Divisible: Divisibility is a number's ability to be exactly divided by another number, leaving no remainder.
- Divisibility rules: Divisibility rules let you test if one number is divisible by another, without having to do too much calculation.
Common Mistakes To Avoid
- Pupils may confuse the divisibility rules or apply them incorrectly.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiples of 3 have a digit sum of a multiple of 3 and multiples of 6 are even multiples of 3. If you can halve a number twice and get a whole number then the original number is a multiple of 4.
2. Use this key word in a maths sentence and explain it clearly. 'Divisible'
Divisibility is a number's ability to be exactly divided by another number, leaving no remainder. 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 divisibility rules or apply them incorrectly. Correction: Display the rules so pupils can be reminded of them. Clarify each rule with clear examples and practice problems (e.g., a number is divisible by 3 if the sum of its digits is divisible by 3).
More Lessons In This Unit
- Explain the relationship between adjacent multiples of seven Study Guide
- Identify and use square numbers to solve problems Study Guide
- Identify patterns of odd and even numbers in the times tables Study Guide
- Represent a square number Study Guide
- Represent counting in sevens as the 7 times table Study Guide
- Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems Study Guide
- Use knowledge of the 7 times table to solve problems Study Guide
- Use known facts from the 2, 5 and 6 times tables to solve problems involving the 7 times table Study Guide
- Use patterns of odd and even numbers in the times tables to solve problems Study Guide
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