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Doubling and Halving Multiplication

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Doubling and Halving Multiplication

Doubling and Halving Multiplication

Multiplication strategies illustration

🧠 Part 1: Multiplication Facts Recall

1. Complete these multiplication facts quickly:

a) 7 × 8 = _____

b) 9 × 6 = _____

c) 4 × 9 = _____

d) 8 × 5 = _____

e) 6 × 7 = _____

2. Which multiplication fact equals 56?

6 × 9

7 × 8

8 × 9

6 × 8

🔄 Part 2: Understanding Doubling and Halving

3. Complete this doubling and halving example:

To solve 8 × 6, we can use 4 × 12 because:

• 4 is _______ of 8

• 12 is _______ of 6

• Both calculations equal _____

4. Show your working to solve 16 × 5 using doubling and halving:
5. Which of these are equivalent to 14 × 6? (Check all that apply)

7 × 12

28 × 3

2 × 42

21 × 4

🎯 Part 3: Applying the Strategy

6. Use doubling and halving to solve these problems. Show your working:

a) 18 × 4

b) 12 × 7

c) 24 × 5

7. Match each problem with the best doubling and halving strategy:
1. 20 × 6
2. 15 × 8
3. 22 × 4
A. 11 × 8
B. 10 × 12
C. 30 × 4

📝 Part 4: Word Problems and Reasoning

8. Sarah needs to calculate 26 × 3 for her maths homework. Explain how she could use doubling and halving to make this easier:
9. A school has 18 classrooms with 6 desks in each room. Use doubling and halving to find the total number of desks:

Answer: _______ desks

10. True or False: Doubling one factor and halving the other always gives the same answer as the original multiplication.

True

False

11. Explain your answer to question 10:

🌟 Part 5: Challenge Problems

12. Use doubling and halving strategies to solve these larger problems:

a) 34 × 5

b) 48 × 7

13. Create your own multiplication problem that would be easier to solve using doubling and halving. Then solve it:

My problem: _____ × _____ = _____

14. Reflection: How did using doubling and halving help you with multiplication today?

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