Mathematics - Term 4 - Week 8

Multiplication can be thought of as 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 calculate 5 x 6 using a visual model. We can draw 5 groups of 6 dots: •••••• •••••• •••••• •••••• ••••••. Counting all the dots gives us 30. Therefore, 5 x 6 = 30. Now, let's look at a division example: 30 ÷ 5. If we have 30 dots and want to divide them into 5 equal groups, each group will have 6 dots. Thus, 30 ÷ 5 = 6.

Now, let's practice together. I will give you the multiplication problem 3 x 4. Draw 3 groups of 4 dots and count the total. After that, we will solve the division problem 12 ÷ 3. Use the same visual model to divide the 12 dots into 3 equal groups. Discuss your findings with a partner and share how you arrived at your answers.

Now it's your turn to solve some problems independently. Complete the following: 1) Calculate 7 x 8 and show your working. 2) Solve 56 ÷ 7 and explain your reasoning. 3) Create a word problem that involves multiplication and another that involves division. Be prepared to share your problems with the class.

• 54
• 63
• 72
• 45

Answer: 54

9 multiplied by 6 equals 54.

• 4
• 6
• 8
• 12

Answer: 6

48 divided by 8 equals 6.

Answer: 5

15 divided by 3 equals 5.

• 5 + 5 + 5 + 5
• 5 - 5
• 5 ÷ 5
• 5 x 5

Answer: 5 + 5 + 5 + 5

Repeated addition is the same as multiplication.

Answer: 4 x 7 = 28

The multiplication of 4 and 7 equals 28.

• 7
• 8
• 9
• 10

Answer: 9

81 divided by 9 equals 9.

Answer: 0

Any number multiplied by 0 equals 0.

• Addition
• Subtraction
• Multiplication
• Division

Answer: Division

To find how many groups of 4 are in 20, you would divide 20 by 4.