Multiplication and division (T1 W4)
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Multiplication is a way to add equal groups together. For example, 4 × 3 means we have 4 groups of 3. On the other hand, division is about splitting a number into equal parts. For instance, 12 ÷ 3 means we are dividing 12 into 3 equal groups. It's important to see how these two operations are connected: multiplication can help us find the total when we have groups, while division helps us find out how many groups we can make from a total.
Let's look at 5 × 6. We can visualize this by drawing 5 groups with 6 items in each group. If we count all the items, we find that 5 × 6 = 30. Now, let's consider a division example: 30 ÷ 6. This means we want to find out how many groups of 6 we can make from 30. By counting, we see that we can make 5 groups of 6, confirming that 30 ÷ 6 = 5.
Now, let's practice together. I will give you the multiplication problem 3 × 4. Draw 3 groups with 4 items in each. Count the total items and write down the answer. After that, let's do the division problem 12 ÷ 4. Use counters or draw to show how many groups of 4 can be made from 12. Share your answers with a partner and discuss how you arrived at your solutions.
Now it's your turn to solve some problems independently. Complete the following: 1) 7 × 5 = ? 2) 35 ÷ 7 = ? 3) Draw a model for 6 × 2 and write the answer. 4) If you have 24 candies and want to share them equally among 6 friends, how many candies does each friend get? Show your working clearly and be prepared to explain your thought process.
Answer: 24
8 groups of 3 equals 24.
Answer: 4
20 divided into 5 equal groups gives 4 in each group.
Answer: 54
9 multiplied by 6 equals 54.
Answer: 5
15 divided by 3 equals 5 groups.
Answer: 4 × 7
4 groups of 7 is represented by multiplication.
Answer: 6
36 divided by 6 equals 6.
Answer: 6
30 divided by 5 equals 6 boxes.
Answer: 48
12 multiplied by 4 equals 48.