Year 2 - Maths
Explain patterns and relationships between the 5 and 10 times tables
Doubling, halving, quotative and partitive division
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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 double and halve 2-digit numbers. They will explore division as both grouping and sharing and learn to use times table facts to find the quotient for 2x 5x 10x tables.
Lesson Summary
You will learn to explain the patterns and relationships between the 5 and 10 times tables.
Key Notes
- When we multiply the same factor by 5 and 10, the product of the factor × 10 is double the product of the factor x 5
- When we multiply the same factor by 5 and 10, the product of the factor × 5 is half of the product of the factor × 10
- When the products are the same, the factor × 5 is double the factor × 10
- When the products are the same, the factor × 5 is half of the factor × 10
Vocabulary To Learn
- Factor: A factor is a number which exactly divides another whole number.
- Product: A product is the result of two or more numbers multiplied together.
- Double: To become twice as many / to multiply by two.
- Half: One of two equal parts of a whole. / To divide into two equal parts.
Common Mistakes To Avoid
- Children may incorrectly double or halve to find the missing products or factors.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When we multiply the same factor by 5 and 10, the product of the factor × 10 is double the product of the factor x 5. When we multiply the same factor by 5 and 10, the product of the factor × 5 is half of the product of the factor × 10.
2. Use this key word in a maths sentence and explain it clearly. 'Factor'
A factor is a number which exactly divides 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: Children may incorrectly double or halve to find the missing products or factors. Correction: The use of counters or visuals will help children to see the relationship between 10 and 5 in each context and support them to know when they must use doubling and when they must use halving.
More Lessons In This Unit
- Explain each part of a division equation and know how they can be interchanged Study Guide
- Explain how a dividend of zero affects the quotient Study Guide
- Explain how a division equation with 2 as a divisor is related to halving Study Guide
- Explain how a divisor of one affects the quotient Study Guide
- Explain how the quotient is affected when the divisor is equal to the dividend Study Guide
- Explain how times table facts can help to find the quotient (10 times table) Study Guide
- Explain how times table facts can help to find the quotient (2 times table) Study Guide
- Explain how times table facts can help to find the quotient (5 times table) Study Guide
- Identify the patterns and relationships between the 5 and 10 times tables Study Guide
- Use knowledge of divisibility rules when the divisor is 10 to solve problems Study Guide
- Use knowledge of divisibility rules when the divisor is 2 to solve problems Study Guide
- Use knowledge of divisibility rules when the divisor is 5 to solve problems Study Guide
- Use knowledge of division strategies to solve problems Study Guide
- Use knowledge of the 5 and 10 times tables to solve problems Study Guide
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