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Intro to Multiplication
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 Multiplication means adding in equal groups.
 That we can count ANYTHING by lining it up in equal rows.
 And that we can use multiplication to quickly count bottles, truck wheels, basketball points and more!

Discussion Questions

Before VideoDisplay an array on the board with 6 rows and 3 squares in each row. Describe what you see on the board. What do we call something that looks like this?ANSWER

An array with 6 rows and 3 squares in each row.

Write a repeated addition sentence. 3 + 3 + 3 + 3 + 3 + 3 or 6 + 6 + 6 Find the total represented by the expression.

Add 5 four times using skipcounting to get 20.

To find how many apples arranged in an array, to find the cost of 6 books that have the same price.

Maria gives each of her 4 friends 7 stickers. How many stickers did she give to her friends in all?


After VideoHow can you model 8 + 8 + 8 + 8 and write it as a multiplication equation? ANSWER

I can make 4 rows of 8 in an array and then write the multiplication equation.
O O O O O O O O
O O O O O O O O
O O O O O O O O
O O O O O O O O
4 x 8 = 32

A guitar has 6 strings. How many strings will be needed to restring 7 guitars?

Amin is not correct. The expression 4 x 3 has a value of 12. I think he added 4 and 3 instead of multiplying.

The expression 4 + 3 + 4 + 3 + 2 cannot be changed to a multiplication expression with the same value because the addends (which could represent groups of objects) are not the same. The expression 4 + 4 + 4 + 4 + 4 can be changed to a multiplication expression with the same value because all of the addends are the same. The multiplication expression is 5 x 4.

You can make an array with 7 rows and 5 counters in each row to model 7 x 5. You can make another array with 5 rows and 7 counters in each row to model 5 x 7. In both cases you will see that there are 35 counters in the array. Also, if you imagine rotating one of the arrays and putting it on top of the other array, you will see that they match exactly.



Vocabulary

Repeated Addition
DEFINE
Repeated addition is adding the same number multiple times.

Multiplication
DEFINE
Multiplication is an operation that gives the result of combining equal groups.

Array
DEFINE
An array is an arrangement of objects in rows of equal size.

Row
DEFINE
A row is an arrangement of objects from left to right.

Times
DEFINE
Times is the way we read the multiplication sign (x) between two numbers.

Factor
DEFINE
Factors are the numbers you multiply.

Product
DEFINE
The answer to a multiplication problem is called a product.

Multiplication Table
DEFINE
A multiplication table shows all the products of multiplying a number from 0 to 10 by a number from 0 to 10.

Repeated Addition
DEFINE

Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS INTRO TO MULITPLICATION?Multiplication is a shorter way to write and calculate repeated addition. A multiplication table can help you find answers to multiplication problems.
To better understand intro to multiplication…
WHAT IS INTRO TO MULITPLICATION?. Multiplication is a shorter way to write and calculate repeated addition. A multiplication table can help you find answers to multiplication problems. To better understand intro to multiplication…LET’S BREAK IT DOWN!
SixPacks of Bottles
Let’s say you have 8 sixpacks of soda bottles. How many soda bottles do you have in all? We could count all of the bottles one at a time but it’s easier to count in groups of 6. So we start with 6 and add 8 sixes. 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6. Since each group has 6 bottles in it, we can also show this in what is called an array by making 8 rows with 6 bottles in each row. We can count the rows by 6. 6, 12, 18, 24, 30, 36, 42, 48. There are 48 soda bottles. Since we have 8 groups of 6, we can say 8 times 6 is equal to 48 (8 x 6 = 48). That’s multiplication and we can write 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 8 x 6 = 48. Multiplication is a faster way to do repeated addition. Try this one yourself. If you have 4 sixpacks of soda bottles, how many soda bottles do you have in all?
SixPacks of Bottles Let’s say you have 8 sixpacks of soda bottles. How many soda bottles do you have in all? We could count all of the bottles one at a time but it’s easier to count in groups of 6. So we start with 6 and add 8 sixes. 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6. Since each group has 6 bottles in it, we can also show this in what is called an array by making 8 rows with 6 bottles in each row. We can count the rows by 6. 6, 12, 18, 24, 30, 36, 42, 48. There are 48 soda bottles. Since we have 8 groups of 6, we can say 8 times 6 is equal to 48 (8 x 6 = 48). That’s multiplication and we can write 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 8 x 6 = 48. Multiplication is a faster way to do repeated addition. Try this one yourself. If you have 4 sixpacks of soda bottles, how many soda bottles do you have in all?8Wheel Trucks
Let’s say there are 5 trucks with 8 wheels each and we want to replace all of their wheels. How many total wheels is that? Each truck has a group of 8 wheels so we can make an array with equal groups of 8. The array has 5 rows with 8 wheels in each row. This array represents the multiplication expression 5 x 8. When we count by eights – 8, 16, 24, 32, 40 – we see there are 40 wheels in all. We can write the multiplication equation 5 x 8 = 40. 5 and 8 are called factors and 40 is called the product. Try this one yourself. How many total wheels are on 7 trucks with 8 wheels each
8Wheel Trucks Let’s say there are 5 trucks with 8 wheels each and we want to replace all of their wheels. How many total wheels is that? Each truck has a group of 8 wheels so we can make an array with equal groups of 8. The array has 5 rows with 8 wheels in each row. This array represents the multiplication expression 5 x 8. When we count by eights – 8, 16, 24, 32, 40 – we see there are 40 wheels in all. We can write the multiplication equation 5 x 8 = 40. 5 and 8 are called factors and 40 is called the product. Try this one yourself. How many total wheels are on 7 trucks with 8 wheels eachBasketball
Let’s say you want to keep track of multiplication problems that you use often. You can make a multiplication table to keep track of answers to multiplication problems. Each row in the table represents counting by equal groups of different sizes. One way you can use the table is to keep track of scores in basketball. One kind of shot in a basketball game is called a field goal and you get 3 points for it. You can use the table to see how many points you will get in all for different numbers of 3point shots. Look at the row that starts with 3. The row with 3 has the following numbers in it: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Along the top of the table it shows how many times the number 3 has been multiplied. If there were five 3point shots I would want to know what 5 x 3 is. I can see where 5 and 3 intersect in the table to find the product. 5 and 3 intersect at 15 so 5 x 3 = 15. Try this one yourself. What numbers would be in the row that starts with 6 in the multiplication chart? How could you use the multiplication chart to find the answer to 6 x 4?
Basketball Let’s say you want to keep track of multiplication problems that you use often. You can make a multiplication table to keep track of answers to multiplication problems. Each row in the table represents counting by equal groups of different sizes. One way you can use the table is to keep track of scores in basketball. One kind of shot in a basketball game is called a field goal and you get 3 points for it. You can use the table to see how many points you will get in all for different numbers of 3point shots. Look at the row that starts with 3. The row with 3 has the following numbers in it: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Along the top of the table it shows how many times the number 3 has been multiplied. If there were five 3point shots I would want to know what 5 x 3 is. I can see where 5 and 3 intersect in the table to find the product. 5 and 3 intersect at 15 so 5 x 3 = 15. Try this one yourself. What numbers would be in the row that starts with 6 in the multiplication chart? How could you use the multiplication chart to find the answer to 6 x 4?Cupcakes
Let’s say you have an array of 6 rows of cupcakes with 10 cupcakes in each row. How many cupcakes are there in all? To find out we need to find the product of 6 x 10. We can use the multiplication table to see that 6 and 10 intersect at 60. So we have 60 cupcakes in all. We can also see that 10 and 6 also intersect at 60. We can look at arrays to see why this is true. We can show 6 x 10 with an array with 6 rows and 10 in each row. We can show 10 x 6 with an array with 10 rows and 6 in each row. Both of these arrays have 60 in them. And if we turn one of the arrays we can see that it exactly fits on top of the other array. Try this one yourself. Use a multiplication table and arrays to show that 5 x 3 has the same product as 3 x 5.
Cupcakes Let’s say you have an array of 6 rows of cupcakes with 10 cupcakes in each row. How many cupcakes are there in all? To find out we need to find the product of 6 x 10. We can use the multiplication table to see that 6 and 10 intersect at 60. So we have 60 cupcakes in all. We can also see that 10 and 6 also intersect at 60. We can look at arrays to see why this is true. We can show 6 x 10 with an array with 6 rows and 10 in each row. We can show 10 x 6 with an array with 10 rows and 6 in each row. Both of these arrays have 60 in them. And if we turn one of the arrays we can see that it exactly fits on top of the other array. Try this one yourself. Use a multiplication table and arrays to show that 5 x 3 has the same product as 3 x 5. 
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Draw an array to represent 4 x 8 and find the product.
Jason multiplied 3 x 6 and got 9. Explain what he did wrong and what the answer should be.
Write a short word problem where the expression 7 x 8 can be used to find the answer.
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