Multiplication and division (T4 W8)
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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 students grasp these concepts more effectively.
Let's consider the multiplication problem 5 × 6. We can visualize this using 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 6, we can think of it as how many groups of 6 can fit into 30. We can create groups: 6, 12, 18, 24, and 30, which shows that 30 ÷ 6 = 5.
Now, let's work on some problems as a class. First, calculate 7 × 4. Think about how you can represent this with an array. Next, for division, solve 28 ÷ 4. Use a number line or draw groups to visualize the solution. Discuss your thought process with your partner and share how you arrived at your answers.
Now it's your turn to practice independently. Solve the following problems: 9 × 3, 45 ÷ 5, and 8 × 7. Show your working clearly. After you finish, exchange your work with a partner to review and discuss any mistakes. Remember to check if your answers make sense and if your calculations are correct.
Answer: 24
6 multiplied by 4 equals 24.
Answer: 6
36 divided by 6 equals 6.
Answer: 40
8 multiplied by 5 equals 40.
Answer: 5
50 divided by 10 equals 5.
Answer: Multiplication
Multiplication is the process of adding a number repeatedly.
Answer: 4
12 divided by 3 equals 4.
Answer: 5
15 divided by 3 equals 5, so each group has 5 apples.
Answer: 63
7 multiplied by 9 equals 63.