Division Word Problems

Created by HISD Curriculum using Google Slides

Let’s Learn!

I can represent, estimate, and solve one-step division
word problems using pictorial models and alternative

algorithms.

Created by HISD Curriculum using Google Slides

When presented with a math
story, we want to read the
problem 3 times to focus on
comprehending the
information provided to us.
Complete the following:

1. Review the anchor chart

2. Add it to your math journal

3. Be ready to use the

strategy throughout our
lesson.

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Review: 3 Reads Strategy

Created by HISD Curriculum using Google Slides

Let’s review our vocabulary:

448 ÷ 16 = 28

Dividend

Quotient

Divisor

Estimate

An approximate number close to the actual
value

Round

An estimation method to determine an
approximate value of a number to a given
place value

Equation

Two numerical expressions set equal to each
other using an equal sign, typically where one
value is an unknown.

Variable

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

Example: 26 x 3 = p

Dividend

The number you are dividing.
Represents the known total.

Divisor

The number you are dividing by.
Represents the number of groups or how
many in each group.

Quotient

The number you are dividing.
Represents the known total.

Match

Match the following

• Estimate

• Round

• Variable

• Equation

An approximate number close to the actual value

An estimation method to determine an approximate value of a number to a given place value

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

Two numerical expressions set equal to each other using an equal sign

• An approximate number close to the actual value

• An estimation method to determine an approximate value of a number to a given place value

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

• Two numerical expressions set equal to each other using an equal sign

Created by HISD Curriculum using Google Slides

Let’s review our vocabulary:

448 ÷ 16 = 28

Dividend

Quotient

Divisor

Estimate

An approximate number close to the actual
value

Round

An estimation method to determine an
approximate value of a number to a given
place value

Equation

Two numerical expressions set equal to each
other using an equal sign, typically where one
value is an unknown.

Variable

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

Example: 26 x 3 = p

Dividend

The number you are dividing.
Represents the known total.

Divisor

The number you are dividing by.
Represents the number of groups or how
many in each group.

Quotient

The number you are dividing.
Represents the known total.

Match

Match the following

• Dividend

• Divisor

• Quotient

The number you are dividing. Represents the known total.

The number you are dividing by. Represents the number of groups or how many in each group.

The number you are dividing. Represents the known total.

• The number you are dividing. Represents the known total.

• The number you are dividing by. Represents the number of groups or how many in each group.

• The number you are dividing. Represents the known total.

Created by HISD Curriculum using Google Slides

Look at the math story and answer the questions.

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13
pages in his scrapbook, with an equal number of stamps on each page. How many
stamps will be displayed on each page of his scrapbook?

What is this story about?

What do I need to find out?

What do I know?

Next Step:

Created by HISD Curriculum using Google Slides

Was your thinking the same?

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13
pages in his scrapbook, with an equal number of stamps on each page. How many
stamps will be displayed on each page of his scrapbook?

What is this story about?

● Mitchell is placing stamps in his scrapbook.

What do I need to find out?

● How many stamps on each page of his scrapbook?

What do I know?

● 182 stamps
● 13 pages in the scrapbook

Next Step:

● Estimate number of stamps and stamps on each page (p)
● Solve for exact number of stamps per page, 182 ÷ 13 = b.

Multiple Choice

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13 pages in his scrapbook, with an equal number of stamps on each page. How many stamps will be displayed on each page of his scrapbook?

Which expression could be used to solve the problem?

• 182 - 13

• 182 x 13

• 182 + 13

• 182 / 13

Created by HISD Curriculum using Google Slides

Let’s start by estimating our solution.

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13
pages in his scrapbook, with an equal number of stamps on each page. How many
stamps will be displayed on each page of his scrapbook?

Estimated Solution
I can estimate 182 to 180 and
estimate 13 to 10.

I can think of how many sets of 10
are in 180. 180 ÷ 10 = 18

There will be about 18 stamps on
each page.

I can use a number line to estimate each value.

Image created by HISD Curriculum using Microsoft PowerPoint

Image created by HISD Curriculum using Microsoft PowerPoint

Created by HISD Curriculum using Google Slides

Let’s connect the pictorial model to partial quotients

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13
pages in his scrapbook, with an equal number of stamps on each page. How many
stamps will be displayed on each page of his scrapbook?

Partial Quotients:

Pictorial Model:

Model by HISD Curriculum using 1,2,3 Math Fonts

Mitchell can place 14 stamps on each page.

Equation: 182 ÷ 13 = p

Model by HISD Curriculum using 1,2,3 Math Fonts

Created by HISD Curriculum using Google Slides

Let’s take a look at how we solve problems using Partial Quotients

Mitchell has 182 stamps in his collection. He wants to display the stamps on 13
pages in his scrapbook, with an equal number of stamps on each page. How many
stamps will be displayed on each page of his scrapbook?

Partial Quotients:

Mitchell can place 14 stamps on each page.

Equation: 182 ÷ 13 = p

Solving Using Partial Quotients

Make a T-Chart

1.Label with groups and total.

2.Number groups 1-5

3.The dividend is 13. I will multiply each group x 13.

Partial Quotients

1.How many groups of 13 can be made out of 182? I see
5 groups of 13 is 65. If i double 5 groups and double 65,
I know that is 10 groups of 13 or 130. I subtract that
from 182 and have 52 left.

2.How many groups of 13 can be made out of 52?
Looking at the table, I see that i can make 4 groups of
13. When i subtract 52 from 52, I have no stamps
remaining.

Image by HISD Curriculum using Microsoft Word

Image by HISD Curriculum using Microsoft Word

Created by HISD Curriculum using Google Slides

Your turn to think through the problem.
Read the problem below and answer the questions in your math journal.

Mitchell has 7,560 stamps. He has 56 pages in his stamp book. Mitchell places an
equal number of stamps on each of the 56 pages. How many stamps does Mitchell
place on each page of his book?

What is this story about?

What do I need to find out?

What do I know?

Next Step:

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Your Turn To Solve!
Solve the problem in your math journal by completing the following steps:

1. Estimate the solution
2. Record the equation
3. Solve for the exact answer using a pictorial model.

Mitchell has 7,560 stamps. He has 56 pages in his stamp book. Mitchell places an
equal number of stamps on each of the 56 pages. How many stamps does Mitchell
place on each page of his book?

Created by HISD Curriculum using Google Slides

Was your thinking the same?

Mitchell has 7,560 stamps. He has 56 pages in his stamp book. Mitchell places an
equal number of stamps on each of the 56 pages. How many stamps does Mitchell
place on each page of his book?

What is this story about?

● Mitchell is placing stamps in his book.

What do I need to find out?

● How many stamps does Mitchell place on each page of his book?

What do I know?

● 7,560 stamps
● 56 pages

Next Step:

● Estimate the number of stamps and the number of pages.
● Solve for exact number of stamps on each page, 7,560 ÷ 56 = p

Created by HISD Curriculum using Google Slides

Mitchell has 7,560 stamps. He has 56 pages in his stamp book. Mitchell places an
equal number of stamps on each of the 56 pages. How many stamps does Mitchell
place on each page of his book?

Partial Quotients:

Estimate Solution:

Equation: 7,560 ÷ 56 = p

I can use compatible numbers. 7,560
adjusts to 7,600 and 56 adjusts to 50.

7,600 ÷ 50 is about 152 stamps

Answer: p = 135 stamps
Mitchell will place 135 stamps on each page.

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Check your work!

Created by HISD Curriculum using Google Slides

Your Turn!

Go to the “Let’s Practice” activitynext.