Year 4 - Maths
Solve problems using divisibility rules for divisors of 3, 6 and 9
Relationship between the 3 and 9 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 explain the relationship between multiples of 3 and multiples of 9 and use it, along with the tests of divisibility for the 3-, 6- and 9-times tables, to solve problems.
Lesson Summary
You will learn to solve problems using divisibility rules for divisors of 3 and 6.
Key Notes
- For a number to be divisible by three, the dgit sum of the number must be a divisible by 3
- For a number to be divisible by 6, it must be divisible by both 2 and 3
- If you halve a number and the digit sum of the half is a multiple of 3 then the number is divisible by 6
Vocabulary To Learn
- Digit sum: The sum of the digits that comprise a number.
- Divisible / divisibility: Divisibility is when division of a number results in another whole number. A number is divisible by another if it can be shared exactly with no remainder.
- Multiple: A multiple is the result of multiplying a number by another whole number.
Common Mistakes To Avoid
- Pupils may find it difficult to solve problems or misunderstand questions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
For a number to be divisible by three, the dgit sum of the number must be a divisible by 3. For a number to be divisible by 6, it must be divisible by both 2 and 3.
2. Use this key word in a maths sentence and explain it clearly. 'Digit sum'
The sum of the digits that comprise a 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 find it difficult to solve problems or misunderstand questions. Correction: Model clearly how to identify key phrases and words which will identify the operation and equation required for word problems. This could involve drawing bar models or other representations.
More Lessons In This Unit
- Explain the relationship between multiples of three and multiples of nine Study Guide
- Explain the relationship between pairs of 3 and 9 times table facts that have the same product Study Guide
- Solve problems involving the 3, 6 and 9 times tables Study Guide
- Solve problems using the relationship between 3 and 9 times table Study Guide
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