Multiplication and division (T1 W4)
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Multiplication is essentially 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 asks how many times 4 fits into 12, which is 3. Recognizing that multiplication and division are inverse operations helps students understand their connection.
Let's solve 5 × 6. We can visualize this as 5 groups of 6. If we draw 5 circles and put 6 dots in each, we can count the total dots. This gives us 30. Thus, 5 × 6 = 30. Now, let's look at a division example: 30 ÷ 5. This asks how many groups of 5 are in 30. By counting, we find there are 6 groups, confirming that 30 ÷ 5 = 6.
Now, let's practice together. Solve 3 × 4 using a visual model. Draw 3 circles and place 4 stars in each circle. Count the total stars. After that, try 12 ÷ 3. Use counters or draw to represent 12 and divide them into 3 equal groups. How many are in each group? Discuss your findings with a partner and share your visual models.
Complete the following problems independently: 1) 7 × 8, 2) 56 ÷ 7, 3) 9 × 5, 4) 45 ÷ 5. Show your working clearly. After you finish, review your answers with a peer and discuss any mistakes you made. Remember to explain your reasoning and how you arrived at your answers.
Answer: 42
6 multiplied by 7 equals 42.
Answer: 9
81 divided by 9 equals 9.
Answer: 4
24 divided by 6 equals 4 apples per group.
Answer: Both A and B
Both expressions represent the same quantity.
Answer: 45
5 multiplied by 9 equals 45.
Answer: 25
100 divided by 4 equals 25.
Answer: 36
12 multiplied by 3 equals 36.
Answer: Division
You would use division to determine how many times one number fits into another.