Math Module 3 Multi-Digit Multiplication and Division

Topic A: Multiplicative Comparison Word ProblemsLesson 3: Demonstrate understanding of area and perimeter formulas by

solving multi-step real world problems

4.OA.1 4.OA.2 4.MD.3 4.OA.3

Lesson 3 Target

You will demonstrate understanding of area

and perimeter formulas by solving

multi-step real world problems.

I love word problems!

Fluency Practice – Sprint A

Think!

Take your mark

!

Get set!

Fluency Practice – Sprint

B

Think!

Take your

mark!

Get set!

FluencyLesson 3

Lesson 3

5 cm

2 cm

• On your boards, write a multiplication sentence to find the area.

• Did you write 5 cm x 2 cm = 10 square cm?

• Write the formula for perimeter and solve.

• Did you write 2 x (5 cm + 2 cm) = 14 cm?

FluencyLesson 3

Lesson 3

2 cm

7 cm

• On your boards, write a multiplication sentence to find the area.

• Did you write 2 cm x 7 cm = 14 square cm?

• Write the formula for perimeter and solve.

• Did you write 2 x (7 cm + 2 cm) = 18 cm?

FluencyLesson 3

Lesson 34 cm

7 cm

• On your boards, write a multiplication sentence to find the area.

• Did you write 4 cm x 7 cm = 28 square cm?

• Write the formula for perimeter and solve.

• Did you write 2 x (7 cm + 4 cm) = 22 cm?

FluencyLesson 3

Lesson 3

4 cm

4 cm

• On your boards, write a multiplication sentence to find the area.

• Did you write 4 cm x 4 cm = 16 square cm?

• Write the formula for perimeter and solve.

• Did you write 2 x (4 cm + 4 cm) = 16 cm?

FluencyLesson 3

Lesson 3

6 cm

6 cm

• On your boards, write a multiplication sentence to find the area.

• Did you write 6 cm x 6 cm = 36 square cm?

• Write the formula for perimeter and solve.

• Did you write 2 x (6 cm + 6 cm) = 24 cm?

FluencyLesson 3

Lesson 3• A rectangle has a given area of 8 square cm, length of 2 cm, and width x.

• Use the Read, Draw, Write strategy to find the width.

• Write the formula for perimeter and solve.

• Did you write 2 x (2 cm + 4 cm) = 24 cm?

Area = 8 square cm

2 cm

x cm

• Did you write 2 cm x 4 cm = 8 square cm

FluencyLesson 3

Lesson 3• A rectangle has a given area of

15 square cm, length of 5 cm, and width x.

• Use the Read, Draw, Write strategy to find the width.

• Write the formula for perimeter and solve.

• Did you write 2 x (3 cm + 5 cm) = 16 cm?

Area = 15 square cm

5 cm

x cm

• Did you write 3 cm x 5 cm = 15 square cm

FluencyLesson 3

Lesson 3

• A rectangle has a given area of 42 square cm, length of 6 cm, and width x.

• Use the Read, Draw, Write strategy to find the width.

• Write the formula for perimeter and solve.

• Did you write 2 x (7 cm + 6 cm) = 26 cm?

Area = 42 square cm

6 cm

X cm

• Did you write 6 cm x 7 cm = 42 square cm

Can you draw something? What can you draw? What conclusions can you make from your drawing?

RDW Review Lesson 3

Can you draw something? What can you draw? What conclusions can you make from your drawing?

First you read!Then you draw!

Your drawing does not have to be art work! A simple diagram is very effective and helps you solve the problem.

Finally, you write!

Can you draw something? What can you draw? What conclusions can you make from your drawing?

RDW ReviewLesson 3

Read! Draw! Write!

Can you draw something? What can you draw? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? What conclusions can you make from your drawing?

Concept DevelopmentProblem 1 Lesson 3

Problem 1

The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium?

What simplifying strategies did you use to multiply to find the

perimeter?

Can you draw something? What can you draw? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? What conclusions can you make from your drawing?

Lesson 3Problem 2

The width of David’s tent is 5 feet. The length is twice the width. David’s rectangular air mattress measures 3 feet by 6 feet. If David puts the air mattress in the tent, how many square feet of floor space will be available for the rest of his things?

Can David fit another air mattress of the same size in his tent?

Concept DevelopmentProblem 2

Can you draw something? What can you draw? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? What conclusions can you make from your drawing?

Concept Development

Problem 3

Lesson 3Problem 3

Jackson’s bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his closet. If the closet is 2 feet wide, what is its length?

How was solving for Problem 3 different from other problems we have solved using multiplicative

comparison??

Can you draw something? What can you draw? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? What conclusions can you make from your drawing?

Lesson 3Problem 4

The length of a rectangular deck is 4 times its width. If the deck’s perimeter is 30 feet, what is the deck’s area?

Explain how you used the figure you drew for Problem 4 to find a

solution.

When do we use twice as much, 2 times as many, or 3 times as many? When have you heard

that language being used?

Concept DevelopmentProblem 4

Can you draw something? What can you draw? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium? What conclusions can you make from your drawing?

Problem Set

10 Minutes

Lesson 3

You’ve already done the problem set!!!

Exit Ticket Lesson 2

Homework!

My homework set says 72 here but we haven’t learned two digit by two digit multiplication yet. We changed our

number on the homework to 24. It will be a small poster, but they’ll be able to

solve it for homework!