Mathematics - Term 3 - Week 10

Multiplication is essentially repeated addition, while division is the process of splitting a number into equal parts. For example, if we have 4 groups of 3 apples, we can express this as 4 x 3 = 12. Conversely, if we have 12 apples and want to divide them into groups of 3, we can express this as 12 ÷ 3 = 4. Understanding this relationship helps us to see how these operations are interconnected.

Let's consider the problem: 5 x 6. We can visualize this using an array model. If we create 5 rows with 6 dots in each row, we can count the total dots to find the answer. This gives us 30. Therefore, 5 x 6 = 30. This method helps to visualize how multiplication works.

Now, let's look at the division problem: 24 ÷ 4. We can use a number line to help us. Starting at 0, we make jumps of 4 until we reach 24. We find that we can jump 6 times. Thus, 24 ÷ 4 = 6. This visual representation helps us understand how division distributes a total into equal parts.

Let's work through some problems together. First, calculate 7 x 8. Think about how you can break it down into smaller parts, such as (7 x 4) + (7 x 4). Next, for division, solve 36 ÷ 6. You can use repeated subtraction or a number line to find how many times 6 fits into 36. Share your strategies with a partner and discuss your answers.

Now it's your turn! Solve the following problems on your own: 9 x 5, 45 ÷ 9, 12 x 3, and 56 ÷ 7. Remember to show your working clearly. After you finish, review your answers and check for any mistakes. If you find any, think about what strategies you can use to correct them.

• 54
• 56
• 64
• 72

Answer: 56

8 multiplied by 7 equals 56.

• 6
• 7
• 8
• 9

Answer: 8

48 divided by 6 equals 8.

Answer: 60

15 multiplied by 4 equals 60.

Answer: 9

81 divided by 9 equals 9.

• 20 ÷ 4 = 5
• 30 ÷ 6 = 4
• 18 ÷ 3 = 6
• 24 ÷ 8 = 2

Answer: 18 ÷ 3 = 6

18 divided by 3 equals 6.

• 54
• 63
• 72
• 81

Answer: 54

6 multiplied by 9 equals 54.

Answer: 20

100 divided by 5 equals 20.

Answer: 9

27 divided by 3 equals 9.