Mathematics - Term 3 - Week 10

Multiplication can be thought of as repeated addition. For example, 4 × 3 means adding 4 three times (4 + 4 + 4), which equals 12. Division, on the other hand, is the process of splitting a number into equal parts. For instance, 12 ÷ 3 means dividing 12 into 3 equal groups, which results in 4. Both operations are interconnected and can be represented using visual models such as arrays for multiplication and number lines for division.

Let's consider the multiplication problem 5 × 6. We can visualize this using an array: 5 rows with 6 dots in each row. Counting all the dots gives us 30. Therefore, 5 × 6 = 30. Now, let's look at a division example: 30 ÷ 5. If we have 30 objects and want to divide them into 5 equal groups, we can use the same array model to see that each group will have 6 objects. Thus, 30 ÷ 5 = 6.

Now, let's practice together. Solve the multiplication problem 7 × 4 using an array model. Draw 7 rows with 4 dots in each row. Count the total number of dots. After that, solve the division problem 28 ÷ 4. Use a number line to show how you can count in groups of 4 to reach 28. Share your findings with a partner and discuss the strategies you used.

Complete the following problems independently. Show all your working clearly. 1. Calculate 8 × 9. 2. Divide 72 by 8. 3. Create an array for 6 × 5 and count the total. 4. If you have 45 apples and want to divide them into 9 baskets, how many apples will each basket contain? Remember to check your work and correct any mistakes.

• 56
• 63
• 72
• 81

Answer: 63

9 multiplied by 7 equals 63.

• 6
• 8
• 10
• 12

Answer: 8

48 divided by 6 equals 8.

Answer: 60

12 multiplied by 5 equals 60.

Answer: 9

36 divided by 4 equals 9.

• 6
• 7
• 8
• 9

Answer: 7

56 divided by 8 equals 7.

• 44
• 45
• 46
• 47

Answer: 44

11 multiplied by 4 equals 44.

Answer: 45

15 multiplied by 3 equals 45.

Answer: 9

81 divided by 9 equals 9.