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### Course: 3rd grade (Eureka Math/EngageNY) > Unit 1

Lesson 1: Topic A: Multiplication and the meaning of the factors- Equal groups
- Equal groups
- Introduction to multiplication
- Multiplication as equal groups
- Understand equal groups as multiplication
- Multiplication as repeated addition
- Relate repeated addition to multiplication
- Understand multiplication using groups of objects
- Multiply using groups of objects
- Multiplication with arrays
- Understand multiplication with arrays
- Multiply with arrays

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# Equal groups

Sal finds the number of objects in equal groups using skip counting and repeated addition.

## Want to join the conversation?

- If 5 times 9 is 45 is 9 times 5 = 45(34 votes)
- Yes - the product does not change depending on the order in which you multiply.(44 votes)

- Is this just basically times?(23 votes)
- Yes. It is the beginning of multiplication. It is basically just the most simple version.(23 votes)

- why cant you go like 1'2'3'4'5'6'78'(15 votes)
- That is so much slower! if you had to do 12x12, then it would take so long to count all the way up to 144.(24 votes)

- What is skip counting?(11 votes)
- Skip counting is when you count forward or backwards in a times table, for example if i skip count in 3 it would be 3,6,9,12 and so on(22 votes)

- Why is the commutative property called the commutative property?(13 votes)
- Commutative Property is where you can rearrange the numbers and it would still be the same answer. For example, 8+3=11 and 3+8=11. Hope this helps!!(15 votes)

- On the beginning of the video, how do you know there are 3 groups of pigs and 7 in each group? how did you multiply 7x3 which is 21? would you multiply with swaping the numbers? you will get the same amount(7 votes)
- Yes! Swamping numbers is the same and will result in the same amount! For Example lets say I have an equation like 3x8. I know from the top of my head that 8x3=24! If I swap it, like 3x8 it will still be 24 the only thing different is the numbers order. Here is a video link for fact families:https://www.khanacademy.org/math/cc-third-grade-math/intro-to-division/imp-relating-multiplication-and-division/v/examples-relating-multiplication-to-division Practice Link: https://www.khanacademy.org/math/cc-third-grade-math/intro-to-division/imp-relating-multiplication-and-division/e/fact-families. It is fun and easy to learn! Have a nice night/day!

Hope this helps :)(6 votes)

- How do you skip count can you make a video on how😅(6 votes)
- We have! Here is the link for it!https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-place-value/cc-2nd-skip-counting/v/skip-counting-by-5-example If you want more videos just search up "skip counting'(4 votes)

- What is 1 times 1(7 votes)
- 1 x 1 is 1. anything multiplied by 1 equals the same number.

examples:

2 x 1 = 2

3 x 1 = 3

4 x 1 = 4

even 139792370 x 1 = 139792370(2 votes)

- 3x144=432 did you know that(6 votes)
- im gona use my cow po pater to see if you two are right(2 votes)

- whats multplokashin like? is it hard?(5 votes)
- Multiplication is basically repeated addition.

If you see 4 x 6, it is 4 groups of 6, so 6 + 6 + 6 + 6 = 24. Many people prefer to memorize their multiplication tables which is memorizing how many groups of what makes what number. But, it is always good to take things easy, especially when you're starting multiplication!

Multiplication is repeated addtion. So it is not very hard, it'll be easy if you work hard!

By 5th grader Diana(3 votes)

## Video transcript

- [Instructor] What we have here are pictures of running pigs, and we can try to figure out
how many running pigs there are by just counting the pigs, but we're gonna start
building some new muscles and this muscle's going to involve, hey, if we group the pigs
into equal groupings, can that help us figure out
how many pigs there are? And you can see that I
have groupings of seven. Each of these groups
are seven running pigs, so how many total groups do I have? Well, I have one, two, three groups of seven running pigs each. Three equal groups. If I said, what's the total
number of running pigs that I'm dealing with? Well, I have three sevens,
three groups of seven, and so, that's the same thing as
seven plus seven plus seven, and if you wanted to
figure out what that is, you could skip count. If we skip count by seven,
we go seven then 14 then 21, and so, three sevens, which is
seven plus seven plus seven, is 21, so there's 21 pigs here, and you can verify on your own that if you count this, you
will indeed see 21 pigs. Let's do another example. Here, I'm looking at a picture
of a bunch of blue seals, not something that you are
likely to see in the wild. And these blue seals have,
once again, been grouped. Let's see how many groups there are. There are one, two, three,
four, five, six, seven groups, and how many are in each group? Well, we could see that
they're all groups of one, two, three, four, five. They're equal groups. What are dealing with? Well, we're dealing with
seven groups of five, so I could write seven groups of five. I could write seven fives. I could write five plus
five plus five plus five plus five plus five plus five,
so that is seven fives there. And if I wanted to
figure out where that is, I could skip count. I could skip count seven fives, so that'd be five, 10, 15, 20, 25, 30, 35. If I were to add all these fives up, five plus five is 10, add
another five, you get to 15. Add another five, 20. Add another five, 25. Add another five, 30. Add another five, 35, which
is exactly what you see there. We're starting to see that
sometimes grouping things can help us appreciate how
many things there are there. And I know what some of
you all are thinking, well, hey, couldn't I just count things? Well, you could, but what if you had 100 groups of five? Well then, it's gonna take you a little bit more time to count. But the techniques that we're building will help you one day be able to think about those things quite easily.