Multiplication and division (T3 W10)
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Multiplication is a way of adding the same number several times. For example, if we have 3 groups of 4 apples, we can write this as 3 x 4. Division, on the other hand, is about sharing or grouping. If we have 12 apples and want to share them equally among 4 friends, we can write this as 12 ÷ 4. Both operations are related; multiplication can help us find the total when we know the groups, and division can help us find out how many groups we can make.
Let's look at the problem 2 x 5. This means we have 2 groups of 5. We can visualize this with dots: • • • • • (first group) and • • • • • (second group). If we count all the dots, we have 10 in total. So, 2 x 5 = 10.
Now, consider the problem 15 ÷ 3. This means we want to divide 15 into 3 equal groups. We can use counters or draw circles to represent this. If we share 15 counters among 3 friends, each friend gets 5 counters. Therefore, 15 ÷ 3 = 5.
Let's try a multiplication problem together: 4 x 3. First, draw 4 groups of 3 dots. Count the total dots together. How many do we have? (Students should arrive at 12). Now, write down the equation: 4 x 3 = 12. Great job!
Now, let's work on a division problem: 20 ÷ 5. We will use counters again. If we have 20 counters and we want to share them among 5 friends, how many does each friend get? (Students should find that each friend gets 4). Write down the equation: 20 ÷ 5 = 4.
Now it's your turn! Solve the following problems on your own: 1. 3 x 6 = ? 2. 18 ÷ 2 = ? 3. 5 x 4 = ? 4. 24 ÷ 6 = ? Remember to show your working and check your answers!
Answer: 12
3 groups of 4 equals 12.
Answer: 5
20 divided by 4 equals 5.
Answer: 12
6 added together 2 times equals 12.
Answer: 5
15 shared among 3 equals 5.
Answer: 5 x 3
5 x 3 is a multiplication problem.
Answer: 2
8 divided by 4 equals 2.
Answer: 5
10 cookies divided by 2 friends equals 5 cookies each.
Answer: 20
4 groups of 5 equals 20.