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 ÷ 4 means dividing 12 into 4 equal groups, which results in 3. Visual models, such as arrays for multiplication and number lines for division, can help illustrate these concepts effectively.

Let's consider the multiplication problem 5 × 6. We can represent this using an array: 5 rows with 6 dots in each row. Counting all the dots gives us 30. Therefore, 5 × 6 = 30. This visual representation helps us understand how multiplication works as grouping.

For the division problem 20 ÷ 5, we can use a number line. Starting at 20, we can subtract 5 repeatedly until we reach 0. We subtract 5 four times (20, 15, 10, 5, 0), which shows that 20 ÷ 5 = 4. This method helps visualize how many groups of 5 fit into 20.

Now, let's practice multiplication together. Calculate 7 × 4. Start by drawing an array with 7 rows and 4 columns. Count the total number of dots. Discuss with your partner how you arrived at the answer. After a few minutes, we will share our findings. Remember, showing your work is important!

Next, let's work on a division problem: 24 ÷ 6. Use a number line to help you visualize the problem. How many times can you subtract 6 from 24? Work with a partner to find the answer and explain your reasoning. We will review your strategies as a class.

Now it's your turn! Solve the following problems on your own: 8 × 3 and 36 ÷ 4. Make sure to show all your working clearly. After completing these problems, check your answers with a classmate and discuss any differences in your approaches. If you find mistakes, take the time to correct them and understand where you went wrong.

• 45
• 40
• 50
• 35

Answer: 45

Multiplying 9 by 5 gives 45, which can be calculated as 9 + 9 + 9 + 9 + 9.

• 6
• 7
• 8
• 9

Answer: 8

Dividing 56 by 7 gives 8, as 7 fits into 56 exactly 8 times.

Answer: 48

12 multiplied by 4 equals 48, which can be verified by repeated addition.

Answer: 6

30 divided by 5 equals 6, as 5 can be subtracted from 30 six times.

• Multiplication
• Division
• Subtraction
• Addition

Answer: Multiplication

Multiplication is defined as repeated addition of the same number.

• 4
• 5
• 6
• 7

Answer: 5

Dividing 45 by 9 gives each friend 5 candies.

Answer: 30

15 multiplied by 2 equals 30.

Answer: 6

48 divided by 8 equals 6, as 8 fits into 48 exactly 6 times.