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Multiplication Facts and Patterns

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Multiplication Facts and Patterns

Multiplication Facts and Patterns

Multiplication patterns illustration

🔢 Part 1: Quick Multiplication Recall

Instructions: Solve these multiplication facts as quickly as you can. Show your working if needed.

1. 7 × 8 = _____
2. 9 × 6 = _____
3. 8 × 9 = _____
4. 6 × 7 = _____
5. 9 × 9 = _____

🔍 Part 2: Pattern Investigation

6. Look at the 9 times table pattern. Fill in the missing products:

9 × 1 = _____    9 × 2 = _____    9 × 3 = _____    9 × 4 = _____

9 × 5 = _____    9 × 6 = _____    9 × 7 = _____    9 × 8 = _____

7. What pattern do you notice in the digits of the 9 times table?
8. Circle the property that shows 7 × 8 = 8 × 7:

Associative property

Commutative property

Distributive property

Identity property

🧠 Part 3: Multiplication Strategies

9. Use the distributive property to solve 7 × 8. Break it down as 7 × (5 + 3):

7 × 8 = 7 × (5 + 3) = (7 × _____) + (7 × _____) = _____ + _____ = _____

10. Show how to solve 6 × 9 using skip counting on the number line below:
11. Which strategies can help you remember difficult multiplication facts? Check all that apply:

Breaking numbers into smaller parts

Skip counting

Using arrays or groups

Memorising without understanding

Using known facts to find unknown ones

📊 Part 4: Arrays and Visual Patterns

12. Draw an array to show 4 × 6:
13. What multiplication fact does this array represent? _____ × _____ = _____

If you rotate the array, what other multiplication fact could it show? _____ × _____ = _____

14. Match each multiplication strategy with its example:
1. Doubling
2. Skip counting
3. Breaking apart
4. Using 10s
A. 8 × 7 = (8 × 5) + (8 × 2)
B. 6 × 4 = 6, 12, 18, 24
C. 8 × 6 = 2 × (4 × 6)
D. 9 × 8 = (10 × 8) - (1 × 8)

🛒 Part 5: Real-World Applications

15. Sarah is buying packets of stickers for her class. Each packet contains 8 stickers and she needs 7 packets. How many stickers will she have altogether?
16. A rectangular garden has 9 rows of vegetables with 6 plants in each row. How many plants are there in total?
17. At the school canteen, pizza slices cost $4 each. If Tom buys 7 slices for his friends, how much will he spend?
18. Describe one way you use multiplication in your daily life:

🎯 Part 6: Challenge Questions

19. If 8 × 7 = 56, what is 8 × 70? Explain your thinking:
20. Find the missing factor: _____ × 9 = 72

Explain how you worked this out: ________________________

21. True or False: The product of any number multiplied by 10 always ends in zero.

True

False

Explain your answer: ________________________________

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