Use Equal Groups to Multiply
Draw 3 equal groups of 6.
Then complete the equation.
___ + ___ + ___ = ___
___ x ___ = ___
What is....
6 + 6 + 6 = 18
3 x 6 = 18
Draw and use a number line to multiply.
3 x 4 = ___
What is...
12
Draw an array to multiply.
2 x 6 = ___
What is...
12.
5 rows of 3 is the same as ____ rows of ____
5 x 3 = 15 which is same as ____ x ____ = 15
So, 5 x 3 = ____ x ____
What is...
3 rows of 5
3 x 5 = 15
3 x 5
Divide 12 counters into 4 equals groups. How many counters are in each group?
12 / 4 = ____
What is...
3.
Draw 5 groups of 2.
Then complete the equations.
___ + ___ + ___ + ___ + ___ = ___
___ x ___ = ___
What is...
2 + 2 + 2 + 2 + 2 = 10
5 x 2 = 10
Use a number line to multiply.
6 x 2 = ____
What is...
12.
Draw an array to multiply.
3 x 7 = ___
What is...
21.
2 rows of 7 is the same as ____ rows of ____
2 x 7 = 14 which is the same as ____ x ____ = 14
So, 2 x 7 = ____ x ____
What is...
7 rows of 2
7 x 2 = 14
7 x 2
Use the tape diagram to model the equation.
[______[______[______]______]
[____________12_____________]
What is...
[__3__]__3__]__3__]__3__]
You have 17 books. Can you put an equal number of books on 4 shelves?
No, because you wouldn't have an equal number of books on all 4 shelves.
4 x 4 = 16 + 1 = 17
There are 4 bags of oranges. Each bag has 6 oranges. How many oranges are there in all?
What is...
24 oranges.
Newton has 21 counters. He says he can use all the counters to make an array with 5 rows. Is he correct? Explain.
What is...
No because there will be 5 rows of 4 with 1 left over.
7 x 5 = 5 x ____
____ x 6 = 6 x 2
What is...
7
2
Divide 16 counters into 8 equal groups. How many counters are in each group?
16 / 8 = ____
2.
You need 25 sticks of modeling clay for a project. You have 6 boxes of modeling clay. Each box has 4 sticks. Do you have enough sticks of modeling clay?
Draw jumps on the number line to show...
3 groups of 5
5 groups of 3.
What answer do you land on for both of them?
What is...
15.
You arrange 4 rows of chairs with 5 chairs in each row. Do you have enough chairs for 18 people?
What is...
Yes. 4 x 5 = 20
A marching band has 5 rows of 6 students. The bandleader wants to rearrange the students into 6 rows. How many students should be in each row? Explain
What is...
5 students should be in each row.
*Extra 10: If you said the Commutative Property of Multiplication as part of your reason for your answer, you've earned these extra points.
You have 14 fidget toys. You buy 10 more. Can you divide your fidget toys into 6 equals groups? Explain.
Yes because 14 + 10 = 24. 24 can be arranged into 6 groups of 4.
Newton has 4 baskets of 4 apples. Descartes has 5 baskets of 4 apples. How many apples do they have in all?
36 apples.
4 x 4 = 16
5 x 4 = 20
20 + 16 = 36
You have 5 shelves. You put 5 books on each shelf. There are 4 books left. How many books did you start with?
What is...
29 books.
Descrates has a 3 x 9 array of flowerpots. He adds another row. How many flowerpots does he add? Write a multiplication equation for his new array.
What is...
He adds 9 flowerpots.
4 x 9 = 36
You have 8 rows of 3 action figures. Your friend has 2 rows of 8 action figures. How many rows does your friend need to add so that you both have the same number of action figures?
What is...
1 row.
(You) 8 x 3 = 24
(Friend) 2 + 1= 3 x 8 = 24
8 x 3 = 3 x 8
Newton and Descartes each have 24 pencils. Newton divides his pencils into 4 equal groups. Descartes divides his pencils into 6 equal groups. Who has more pencils in each group? Explain.
What is...
Newton because he has 6 pencils in each of his 4 groups. Descartes only has 4 pencils in each of 6 groups. 6 > 4.