Year 3 - Maths
Scale divisions derived from multiplication facts by 10
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 use unitising and multiplying and dividing by 10 to scale division facts.
Key Notes
- Division is the inverse of multiplication
- If you know that 3 groups of 4 are equal to 12 then there are 3 groups of 4 in 12
- If you know there are 3 groups of 4 in 12 then there are 3 groups of 4 tens in 12 tens
Vocabulary To Learn
- Scale / scaling: Scaling is when a given quantity is made ___ times the size. In this lesson, scaling will involve making values 10 times the size.
- Inverse: Inverse means the opposite in effect. The reverse of.
Common Mistakes To Avoid
- Lack of fluency in 2s, 4s and 8s 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.
Division is the inverse of multiplication. If you know that 3 groups of 4 are equal to 12 then there are 3 groups of 4 in 12.
2. Use this key word in a maths sentence and explain it clearly. 'Scale / scaling'
Scaling is when a given quantity is made ___ times the size. In this lesson, scaling will involve making values 10 times the size. 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, 4s and 8s times tables and not understanding the divisibility rules or the problems. Correction: To clearly model use of gattegno chart or place value chart to highlight scaling up and down by 10. Highlight key words of worded problems to understand the problem and the operation required for the calculation.
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 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.