Fact Family Multiplication and Division | Math for 3rd Grade

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In today’s lesson, “Welcome to Bug Math Fun!”, we explored multiplication, division, and fact families using engaging examples with bugs and butterflies. We learned how to identify related math facts using the same numbers, and practiced finding missing numbers in fact families through counting and skip counting. By applying these concepts, we aimed to make math enjoyable and enhance our understanding of these fundamental operations.
  1. What are fact families, and how do they help us with multiplication and division?
  2. Can you think of a different example of a fact family using your own numbers?
  3. How can counting and skip counting help you solve math problems with bugs or butterflies?

Welcome to Bug Math Fun!

Hello everyone! Today, we’re going to have some fun with math by learning about multiplication, division, and something called fact families. We’ll use a cool worksheet called “Bug Math” to help us understand these ideas better. Let’s get started!

Understanding Fact Families

In math, a fact family is a group of related math facts using the same numbers. For example, if we have the numbers 7, 4, and 28, we can create two multiplication and division facts:

  • 7 times 4 equals 28
  • 28 divided by 7 equals 4

These facts are all part of the same family because they use the same numbers. Let’s see how we can find the missing number in a fact family using a picture of bugs!

Counting Bugs to Solve Problems

Imagine we have a picture with 28 bugs. We also see that there are 7 columns of bugs. Our job is to find out how many rows there are. Let’s count:

  • There are 7 columns.
  • There are 4 rows.

So, the missing number in our fact family is 4 because 7 times 4 equals 28. We can check our work by skip counting by 7s: 7, 14, 21, 28. We counted four times, so we know 7 times 4 is 28!

Another Fun Example with Butterflies

Now, let’s try another problem with butterflies. We have 18 butterflies in total and 9 butterflies in each row. We need to find out how many rows there are. Let’s solve it:

  • 9 times something equals 18
  • 18 divided by 9 equals something

We can skip count by 9s: 9, 18. It takes us two counts to reach 18, so the missing number is 2. That means 9 times 2 equals 18, and 18 divided by 9 equals 2. We can also check by counting the butterflies:

  • First row: 9 butterflies
  • Second row: 9 butterflies

So, there are 2 rows of 9 butterflies, which confirms our answer!

Keep Practicing!

Remember, practicing with fact families can make multiplication and division easier and more fun. Keep counting and skip counting to become a math superstar!

Thanks for learning with us today! See you next time for more fun math adventures!

  • Can you think of a time when you used counting to solve a problem, like finding out how many toys you have or how many steps it takes to get to your room? How did counting help you?
  • Imagine you have a group of 12 apples. How could you arrange them in different rows and columns? Can you find a fact family using these numbers?
  • Have you ever noticed patterns or groups of things in nature, like rows of flowers or groups of birds? How do you think these patterns are similar to the fact families we learned about with bugs and butterflies?
  1. Create Your Own Bug Math Picture: Draw a picture with a group of bugs. Choose a total number of bugs and decide how many rows or columns you want. Then, figure out the missing number to complete your fact family. For example, if you draw 20 bugs and decide on 5 rows, how many bugs are in each row? Write down the multiplication and division facts that match your picture.

  2. Fact Family Hunt: Go on a fact family hunt around your house or classroom. Look for objects that you can group together, like toys or books. Count how many objects you have in total and how you can arrange them into equal groups. Write down the multiplication and division facts you discover. For example, if you have 15 toy cars and you can arrange them into 3 groups, how many cars are in each group?

  3. Skip Counting Game: Practice skip counting with a friend or family member. Choose a number to skip count by, like 4 or 5. Take turns saying the next number in the sequence. See how far you can go! Afterward, use the numbers you said to create a fact family. For example, if you skip count by 4s up to 20, what multiplication and division facts can you make?

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

Welcome to Kids Academy! Hello everyone! Let’s open the worksheet. Don’t forget to like this video and subscribe to our channel. You can find the link to this app in the comments below.

Today, we’re going to be talking about multiplication, division, and fact families. We have a cool worksheet called “Bug Math.” Let’s read the directions and get started right away. The directions say to complete the equations by drawing a circle around the correct number.

In this problem, the first thing I see is a picture of a bunch of bugs. Then I also see two equations. The first equation is 7 times something equals 28. The second equation is 28 divided by 7 equals something. When I look at these problems, I know I’m solving for the unknown number. This is similar to algebra, but we can make it really simple by using something called a fact family.

Whenever I solve fact family problems, I like to think about a fact family triangle. In this fact family, we’re missing a number. We know that we have the number 28 at the top of the fact family, and we also know we have a 7 somewhere on the bottom. We have to find this missing number.

7 times 4 equals 28, and 28 divided by 7 equals 4. These are all things that we’re going to figure out today by using counting and relating multiplication and division. Let’s get started!

Let’s look at the picture of the bugs. First, I know that there are 28 bugs because the total in both problems is 28. I also see the number 7. Let’s count the number of columns to see if there are seven columns. There are one, two, three, four, five, six, seven columns. Now, let’s see how many rows there are. There are one, two, three, four rows. So now I’m starting to think maybe that missing number in my fact family is 4 because I have a total of 28, I know that there are seven columns, and there are four rows.

Let’s check our work by skip counting. We’ll skip count by sevens and see if we can land on 28. We’ll use our hands to keep track of how many times it takes us: 7, 14, 21, 28. That’s one, two, three, four. So already, something else lets me know that I think 4 is the correct answer. But really, what you just did was a division problem. You used a higher number of 28 divided by 7, and we skip counted by 7 to 28 and got an answer of 4.

Now, I already wrote out the division problem, but let’s check it out again just to be sure. I know that when we do 28 divided by 7, that’s really asking how many sevens are inside of 28. If we skip count by sevens again, we’ll find that there are four sevens inside 28: 7, 14, 21, 28. There are four, and it’s again demonstrated by the picture.

Remember, we counted these bugs as being seven: one, two, three, four, five, six, seven. That’s one group of seven. Here’s another group of sevens, making two groups of seven. A third group of seven makes three groups of seven, and a fourth group of seven makes four groups of seven. So I’m pretty confident that seven times the unknown number, which is 4, also equals 28.

Our next problem is another fact family problem. This time, our fact family has the number 18 at the top and the number 9 on one of the sides at the bottom. We’re looking for another unknown number. In this problem, I know the total is 18 butterflies.

When I see this problem, 9 times blank equals 18, I know that I can relate it to a division problem: 18 divided by 9 equals something. To do 18 divided by 9, we can just skip count from 9 to 18. If we count that, it only took us 2 times. So I know 18 divided by 9 is 2.

Now I’m starting to think that 9 times 2 is going to be 18, and we can fill in our fact family. 9 times 2 is indeed 18 because you skip count by nines: 9, 18. You’ve done it twice, so 9 times 2 is 18. We know that 18 divided by 9 is 2.

So again, I’m pretty sure the unknown number in this problem is 2. Remember, you can also check your work by circling groups of nine. Let’s count the first row: one, two, three, four, five, six, seven, eight, nine. There’s nine butterflies in the first row, so that must mean there’s nine butterflies in the second row.

If there’s one group of nine butterflies, we have one group. If we circle the second group of butterflies, that gives us two groups, again proving to us that 18 divided by 9 is 2. I feel pretty confident that our missing number is 2.

Thanks for watching! See you next time! Don’t forget to like us and subscribe to our channel. Find links to our apps in the comments below.

This version removes any informal language and maintains a clear and educational tone.

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