🔢 Part 1: Exploring Multiplication Patterns

1. Look at the 5 times table. What pattern do you notice in the last digit of each product?

2. Complete the pattern for the 9 times table:

9 × 1 = 9, 9 × 2 = 18, 9 × 3 = 27, 9 × 4 = _____, 9 × 5 = _____, 9 × 6 = _____

3. What do you notice about the sum of the digits in each answer from question 2?

4. Circle the square numbers (numbers multiplied by themselves):

16 (4 × 4)

24 (4 × 6)

25 (5 × 5)

36 (6 × 6)

42 (6 × 7)

49 (7 × 7)

🔄 Part 2: Commutative Property

5. The commutative property shows that changing the order doesn't change the product. Match each multiplication with its commutative pair:

1. 3 × 8

2. 6 × 7

3. 4 × 9

4. 5 × 8

A. 8 × 5

B. 9 × 4

C. 7 × 6

D. 8 × 3

6. Use the commutative property to solve these. If you know 7 × 8 = 56, what is 8 × 7?

📊 Part 3: Arrays and Visual Patterns

7. Draw an array to show 4 × 6. Use dots or circles arranged in rows and columns:

8. Look at the 10 times table pattern. What happens to any number when you multiply it by 10?

Add a zero to the end

Double the number

Add 10 to the number

Subtract 1 from the number

9. Complete this multiplication grid by filling in the missing products:

× | 6 | 7 | 8
4 | 24| __|32
5 | __|35|__
6 | 36|__|48

🧮 Part 4: Factors and Multiples

10. Fill in the blanks using your knowledge of factors:

The factors of 12 are: 1, __, 3, __, 6, and 12

The factors of 18 are: 1, 2, __, 6, __, and 18

11. Which of these are multiples of 6? (Check all that apply)

12

15

18

24

28

30

12. Explain in your own words what you've discovered about patterns in times tables:

🌟 Part 5: Challenge Questions

13. If you know that 6 × 8 = 48, use this fact to work out 6 × 80:

14. Find the pattern: 2 × 2 = 4, 3 × 3 = 9, 4 × 4 = 16, 5 × 5 = 25. What is 8 × 8?

15. Create your own times table pattern question for a classmate to solve:

Times Tables Patterns

Times Tables Patterns

🔢 Part 1: Exploring Multiplication Patterns

🔄 Part 2: Commutative Property

📊 Part 3: Arrays and Visual Patterns

🧮 Part 4: Factors and Multiples

🌟 Part 5: Challenge Questions

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