Representing, Estimating, and Solving For Quotients

​Representing,
Estimating,
& Solving

​one and two step word problems

SPRINTS -SIDE A

SPRINTS -SIDE B

Today you will represent, estimate, and solve one or two-step division problems.

Inspiration Partnership Team Vector by Vecteezy.com

10

5

Academic Vocabulary

54

6

9

0

(2 X 14)፥ 7 = m

Division

Dividend

Divisor

Quotient

Remainder

Variable

Match

Match the definition to the word.

• Splitting Up in Equal Groups

• The number being broken up into even parts.

• The number we are dividing by.

• The answer to a division problem.

• A symbol used to represent an unknown quantity in an algebraic expression.

Division

Dividend

Divisor

Quotient

Variable

• Division

• Dividend

• Divisor

• Quotient

• Variable

Carmichael has collected 236 stamps. He wants to place 100 of them in one album. He will place the rest of the stamps in another album with the same number of stamps on 17 pages. How many stamps will Carmichael place on each of the pages in this additional album?

​I CAN REPRESENT THE PROBLEM USING AN EQUTION:

​I DO:

Carmichael has collected 236 stamps. He wants to place 100 of them in one album. He will place the rest of the stamps in another album with the same number of stamps on 17 pages. How many stamps will Carmichael place on each of the pages in this additional album?

​I CAN ESTIMATE THE PROBLEM:

​I DO:

Carmichael has collected 236 stamps. He wants to place 100 of them in one album. He will place the rest of the stamps in another album with the same number of stamps on 17 pages. How many stamps will Carmichael place on each of the pages in this additional album?

​I CAN SOLVE THE PROBLEM:

​I DO:

A school district received 4,620 laptops for students and wants to distribute them equally across 11 grade levels.  How many laptops will each grade level receive?

​WE DO:

Fill in the Blanks

How many laptops did the district receive?

Fill in the Blanks

How many grade levels will receive the laptops?

Math Response

Using l as the variable. Represent the problems with an expression.

Type answer here

Correct Answer: 4620\div11=l

Deg^°

Rad

Word Cloud

ESTIMATE THE ANSWER:

A school district received 4,620 laptops for students and wants to distribute them equally across 11 grade levels. How many laptops will each grade level receive?

Fill in the Blanks

SOLVE FOR THE QUOTIENT:

A school district received 4,620 laptops for students and wants to distribute them equally across 11 grade levels.  How many laptops will each grade level receive?

X 11

100

200

300

400

A school district received 4,620 laptops for students and wants to distribute
them equally across 11 grade levels. How many laptops will each grade level
receive?

How many groups of 11 are in
4,600?

12

– 4400

220
– 220

0

How many groups of 11 are
in 220?

400 + 20 = _____

420

20

400

11 4620

Each grade level will receive _____ laptops.

420

X 11

1

2

3

4

X 11

10

20

30

40

11

22

33

44

110

220

330

440

Let’s use a T-Table to divide.

Now let’s add the partial
quotients to find the quotient.

4,400

1,100

2,200

3,300

What equation can we use to
estimate the amount of laptops

each grade level received?

4,600 ÷ 10 = 460

Marcus has a collection of 2,156 sports cards in his collection. He decides he wants keep 956 cards and divide the rest equally among his 12 classmates. How many cards will each classmate receive?

​WE DO:

​WE CAN REPRSENT THE PROBLEM USING AN EQUATION:

Marcus has a collection of 2,156 sports cards in his collection. He decides he wants keep 956 cards and divide the rest equally among his 12 classmates. How many cards will each classmate receive?

​WE DO:

​ESTIMATE THE PROBLEM ON YOUR WHITEBOARD:

Marcus has a collection of 2,156 sports cards in his collection. He decides he wants keep 956 cards and divide the rest equally among his 12 classmates. How many cards will each classmate receive?

​WE DO:

​SOLVE THE PROBLEM ON YOUR WHITEBOARD:

Math Response

WRITE AN EQUARTION USING x AS YOUR VARIABLE:

A seamstress bought 456 yards of fabric. She wants to use the same amount of fabric to make 19 dresses. How many yards of fabric will be used on each dress?

Type answer here

Correct Answer: 456\div19=x

Deg^°

Rad

Math Response

REPRESENT THE PROBLEM WITH AN EQUATION USING y AS THE VARIABLE:

A seamstress bought 456 yards of fabric. She wants to use the same amount of fabric to make 19 dresses. How many yards of fabric will be used on each dress?

Type answer here

Correct Answer: 456\div19=y

Deg^°

Rad

Fill in the Blanks

A seamstress bought 456 yards of fabric. She wants to use the same amount of fabric to make 19 dresses. How many yards of fabric will be used on each dress?

Fill in the Blanks

Deon has 1,975 bottle caps in his collection. He gave 100 of the bottle caps to his sister to start her own collection. If Deon wants to separate the remaining bottle caps equally into 15 boxes, how many bottle caps will be in each box?

Fill in the Blanks

Celeste has 1,536 colored bead in her collection. She has the same  number of beads in each of 16 colors. About how many beads does she have in each color?

Multiple Choice

The Gordon family drove 270 miles to visit relatives. If they drove 45 miles each hour, how many hours did they drive?

• 225

• 315

• 6

• 5

26

DOL: Given a set of
problems, students
will correctly
represent, estimate,
and solve one or
two-step division
problems on at
least 4 of 5
questions.

Demonstration of Learning