Representing Multiplication

Objective: I can represent multiplication and division
problems using strip diagrams and equations.

Guiding Question: How can you represent multiplication
and division problems using strip diagrams and equations?

Created by HISD Curriculum using Google® Slides

Let’s Explore

Created by HISD Curriculum using Google® Slides

Multiplication or Division?

Read each of the math stories. Decide if each story relates better to
multiplication or to division. Record your thinking in your math journal.

Directions:

Story 1

Story 2

Story 3

An apartment complex is replacing the
tile floors in 5 of its apartments. The
floor in each apartment has an area of
985 square feet. How many total
square feet of flooring is needed to
replace these tile floors?

Ms. Martinez is preparing the
convention center for a banquet
dinner. She knows 1,128 people will
attend the banquet. Ms. Martinez will
seat 8 people to a table. How many
tables are needed?

Melissa has 13 photo albums. There
are 85 pictures in each album. How
many total pictures does Melissa
have?

Multiple Choice

An apartment complex is replacing the tile floors in 5 of its apartments. The floor in each apartment has an area of 985 square feet. How many total square feet of flooring is needed to replace these tile floors?

• Multiplication

• Division

Multiple Choice

Ms. Martinez is preparing the convention center for a banquet dinner. She knows 1,128 people will attend the banquet. Ms. Martinez will seat 8 people to a table. How many tables are needed?

• Multiplication

• Division

Multiple Choice

Melissa has 13 photo albums. There are 85 pictures in each album. How many total pictures does Melissa have?

• Multiplication

• Division

Let’s Explore

Created by HISD Curriculum using Google® Slides

Multiplication or Division?

Story 1

Story 2

Story 3

An apartment complex is replacing the
tile floors in 5 of its apartments. The
floor in each apartment has an area of
985 square feet. How many total
square feet of flooring is needed to
replace these tile floors?

Ms. Martinez is preparing the
convention center for a banquet
dinner. She knows 1,128 people will
attend the banquet. Ms. Martinez will
seat 8 people to a table. How many
tables are needed?

Melissa has 13 photo albums. There
are 85 pictures in each album. How
many total pictures does Melissa
have?

Check your responses. Then
discuss with a partner how you

decided which story related better

to multiplication or division.

Multiplication

Division

Multiplication

Let’s Review

Created by HISD Curriculum using Google® Slides

Representing Multiplication and Division Stories

Mathematicians represent multiplication and division stories using strip
diagrams and equations.

Let’s look to see how we can represent

one of math stories using a strip

diagram and an equation.

Let’s Review

Created by HISD Curriculum using Google® Slides

An apartment complex is replacing the tile floors in 5 of its apartments. The floor in
each apartment has an area of 995 square feet. How many total square feet of
flooring is needed to replace these tile floors?

Strip Diagram:

We need to find out the total square feet of flooring needed to replace tile floors for 5
apartments. We know that each apartment floor has an area of 995 feet.

995

Represents 1 apartment floor with an area of 995 feet.

Therefore,

995

995

995

995

995

Represents 5
apartment floors
with an area each
of 995 feet.

f = floors

Let’s Review

Created by HISD Curriculum using Google® Slides

An apartment complex is replacing the tile floors in 5 of its apartments. The floor in
each apartment has an area of 995 square feet. How many total square feet of
flooring is needed to replace these tile floors?

Equation:
995 x 5 = f

995

995

995

995

995

Represents 5
apartments floor with an
area each of 995 feet.

floors
=
f

1

2

3

4

5

Let’s Review

Created by HISD Curriculum using Google® Slides

Math Story

Strip Diagram

Equation

An apartment complex is
replacing the tile floors in 5
of its apartments. The floor
in each apartment has an
area of 995 square feet.
How many total square feet
of flooring is needed to
replace these tile floors?

995 x 5 = f

Let’s Practice

Created by HISD Curriculum using Google® Slides

Directions: Copy the table in your math journal. Then fill in the missing
equation or strip diagram for the math stories.

Math Stories

Equation

Strip Diagram

Tonya has 15 bookshelves in her
office. There are 18 books on each
shelf. How many total books are on
these shelves?

15 × 18 = b

?

Adam and his family will travel by car
a total of 2,478 miles over a period of
7 days over Thanksgiving break.
They will travel an equal number of
miles each day. How many miles will
Adam and his family travel by car
each day?

?