The Switch | Multiplication Song | Commutative Property

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In today’s lesson, “The Magic of Multiplication: The Switch,” students learned that multiplication is commutative, meaning that switching the order of the numbers does not change the product. Through engaging examples and practice problems, they discovered that knowing one multiplication fact allows them to easily derive another, reinforcing their understanding of times tables. The lesson emphasized that math can be enjoyable and magical with practice.
  1. What happens to the answer when you switch the numbers in multiplication?
  2. Can you give an example of The Switch using your own numbers?
  3. Why do you think The Switch is helpful when learning multiplication?

The Magic of Multiplication: The Switch!

Hey there! Today, we’re going to learn something super cool about multiplication. It’s called “The Switch!” Are you ready to have some fun with numbers? Let’s go!

What is The Switch?

When you multiply two numbers, you can switch them around, and guess what? You still get the same answer! It’s like magic! Let’s see how it works:

Examples of The Switch

Let’s look at some examples:

  • 2 x 5 is 10. Switch! 5 x 2 is also 10.
  • 4 x 10 is 40. Switch! 10 x 4 is also 40.
  • 1 x 9 is 9. Switch! 9 x 1 is also 9.
  • 7 x 0 is 0. Switch! 0 x 7 is also 0.

See? The answer stays the same even when we switch the numbers around!

Try The Switch Yourself!

Now it’s your turn to try The Switch! Can you figure out the answers?

  • 4 x 8 is 32. Switch! 8 x 4 is ____.
  • 6 x 7 is 42. Switch! 7 x 6 is ____.
  • 7 x 8 is 56. Switch! 8 x 7 is ____.
  • 6 x 9 is 54. Switch! 9 x 6 is ____.

Give it a try and see if you can fill in the blanks!

Why The Switch is Helpful

The Switch is a great trick to help you with multiplication. It makes it easier to remember your times tables because you know that switching the numbers won’t change the answer. So, if you know one multiplication fact, you actually know two!

Keep Practicing!

Keep practicing The Switch, and soon you’ll be a multiplication master! Remember, math can be fun and full of surprises, just like magic!

Happy multiplying!

  • Can you think of a time when you used “The Switch” without even realizing it? Maybe when you were playing a game or helping with something at home?
  • Why do you think “The Switch” is like magic? Can you find other things in your life that work the same way, where switching things around doesn’t change the outcome?
  • How do you feel when you discover a new trick in math, like “The Switch”? Does it make you more excited to learn other math tricks? Why or why not?
  1. Switch Hunt: Go on a “Switch Hunt” around your home or classroom. Find objects that come in pairs, like shoes or socks. Count them in one order (e.g., 2 shoes in 5 pairs) and then switch the numbers (e.g., 5 pairs of 2 shoes). Write down your findings and see if the total number stays the same!

  2. Number Swap Game: With a friend or family member, play a number swap game. Each person writes down a multiplication problem using small numbers (like 3 x 4). Then, swap the numbers and solve the new problem (4 x 3). Check if the answers match. Take turns and see who can come up with the most interesting number swaps!

  3. Story Time with Numbers: Create a short story using multiplication and The Switch. For example, “There were 3 baskets with 5 apples each. When we switched, there were 5 baskets with 3 apples each. But the total number of apples was still the same!” Draw pictures to illustrate your story and share it with your class or family.

Here’s a sanitized version of the provided YouTube transcript:

The switch! When you multiply, you get the same answer every time. Just go like this, and you can do the switch!

2 x 5 is 10.
Switch! 5 x 2 is 10.
4 x 10 is 40.
Switch! 10 x 4 is 40.
1 x 9 is 9.
Switch! 9 x 1 is 9.
7 x 0 is 0.
Switch! 0 x 7 is 0.

Do the switch! When you multiply, you’ll get the same answer every time. Just go like this, and you can do the switch!

9 x 12 is 108.
Switch! 12 x 9 is 108.
3 x 4 is 12.
Switch! 4 x 3 is 12.
8 x 9 is 72.
Switch! 9 x 8 is 72.
4 x 6 is 24.
Switch! 6 x 4 is 24.

Alright, can you do the switch on your own? I think you can!

4 x 8 is 32.
Switch! 8 x 4 is ____.
6 x 7 is 42.
Switch! 7 x 6 is ____.
7 x 8 is 56.
Switch! 8 x 7 is ____.
6 x 9 is 54.
Switch! 9 x 6 is ____.

Do the switch! When you multiply, you’ll get the same answer every time. The switch can help you multiply!

This version removes any repetitive phrases while maintaining the instructional content.

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