Mathematics - Term 1 - Week 4

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 ÷ 4 means how many times does 4 fit into 12, which equals 3. Visual models such as arrays for multiplication and number lines for division can help illustrate these concepts.

Let's consider the multiplication problem 5 × 6. We can visualize this with an array of 5 rows and 6 columns. Counting all the squares gives us 30. Therefore, 5 × 6 = 30. Now, for division, if we take 30 and divide it by 5, we can ask how many groups of 5 can we make from 30. The answer is 6, confirming that 30 ÷ 5 = 6.

Now, let's work together on a multiplication problem: 3 × 4. Draw an array with 3 rows and 4 columns. Count the total number of squares. Next, for division, take 12 ÷ 3. Use a number line to show how many jumps of 3 fit into 12. Discuss your findings with a partner and share your visual models with the class.

Complete the following problems independently: 1) 7 × 8, 2) 56 ÷ 7, 3) Create a visual model for 4 × 5, and 4) Use a number line to solve 20 ÷ 4. Show all your working clearly and be prepared to explain your methods to the class.

• 54
• 45
• 63
• 72

Answer: 54

9 multiplied by 6 equals 54.

• 4
• 6
• 8
• 10

Answer: 6

48 divided by 8 equals 6.

Answer: Multiplication means repeated addition.

It combines equal groups into one total.

• How many groups of 3 are in 15?
• What is 15 times 3?
• What is 3 plus 15?
• How many times does 15 fit into 3?

Answer: How many groups of 3 are in 15?

This question is asking for the number of groups of 3 that can be made from 15.

Answer: 35

The product of 7 and 5 is 35.

• 3
• 4
• 5
• 6

Answer: 4

36 divided by 9 equals 4.

Answer: To split a number into equal parts.

Division is about finding how many equal parts a number can be divided into.

• 48
• 36
• 24
• 60

Answer: 48

12 multiplied by 4 equals 48.