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Lesson 60:

Converting Square Centimeters to Square Meters and Vice Versa

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Drill

1. Tell the unit of measurement that should be used for each of the following:

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___ Height of a flagpole

___ Edge of a table

___ Height of Jose

___ Length of a necklace

___ Length of garden hose

___ Size of a pencil

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b. Convert each given measure to the indicated unit.

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100 cm = _______ m

5 m = _______ cm

300 cm = _______ m

1 m = _______ cm

700 cm = _______ m

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Motivation

Do you have your zones to clean every day?

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Is there a need to maintain cleanliness in school?

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What do you do to make sure that cleanliness in your zone is maintained?

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Developmental Activities

Presentation:

A Grade 4 class has a group activity in their math class. After the activity they were asked to clean their working tables. Group A cleaned an area of 10 000 sq cm while group B cleaned 4 sq m. Do the two groups have the same size of working tables?

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How many tables did they use in the activity?

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What was the area of the table each group cleaned?

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What does the problem ask you to find?

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How will you solve for the answer?

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How many square meters are there in 10 000 sq cm?

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How many square centimeters are there in 4 sq m?

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Questions:

Performing the Activity

Group the pupils into Five or Six Groups.

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Let’s Work Together!!

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• By making a representation of the tables

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Area = 10 000 sq cm or 1 sq m Area = 4 sq m or 40 000 sq cm

Expected Answers

A

100 cm

Or 1 m

100 cm or 1 m

B

2 m

2 m

Based on the figure, there is 1 sq m in 10 000 sq cm. The table used by group B is 4 sq m and if 1 sq m is equal to 10 000 sq cm, we can say that by multiplying 10 000 sq cm by 4, there are 40 000 sq cm in 4 sq m. Group B has a bigger working able.

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Reinforcing the Concept and Skill

Explore and Discover!

Lian and Jay are busy cleaning the playground of Castro Elementary School. If the area of the school playground is 640 000 sq cm, what is its equivalent in square meters?

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How will you solve the problem?

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Study this:

10 000 sq cm = 1 sq m

640 000 sq cm = ____ sq m

Solution: 640 000 sq cm = 640 000 sq cm x 1 sq m

10 000 sq cm

=640 000 sq m

10 000

= 64 sq m

Study this example:

Lorena wanted to find out how many square centimeter there are in 14 sq m.

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Help her to solve for the answer.

Below is the process to convert bigger square units to smaller units.

1 sq m = 10 000 sq cm

14 sq m = ________ sq cm

Solution: 14 sq m = 14 sq m x 10 000 sq cm

1 sq m

= 14 x 10 000 sq cm

=140 000 sq cm

Get Moving!

Challenge the following units as indicated:

1. 230 000 sq cm = _____________ sq m
2. 40 000 sq cm = _____________ sq m
3. 90 000 sq cm = _____________ sq m
4. 5 sq m = ____________________ sq cm
5. 6 sq m = ____________________ sq cm

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Keep Moving!

Complete the table with the correct unit of square measure needed.

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Summarizing the Lesson

There are 10 000 sq cm in 1 sq m.

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To convert square centimeters to square meters, we divide by 10 000.

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To convert square meters to square centimeters, we multiply by 10 000.

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Applying to New and Other Situations

Apply your Skills!

1. Your house has a floor area of 42 sq m. If you will clean your house, how many square centimeters will you clean?
2. The grassy lawn of Mr. Pascua measures 90 000 sq cm. What is the area of his lawn in square meters?
3. What is 19 000 sq cm converted to sq m?
4. Liana has a long table in their living room with an area of 3 sq m. How many square centimeters of cartolina does she need to completely cover the table?
5. A 6 sq m glass sliding door was broken. Ryan will temporarily replace it with plywood. How many square centimeters of plywood does he need?

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Assessment

1. Convert the following units as indicated
1. 120 000 sq cm = ___________ sq m
2. 7 sq m = ___________ sq cm
3. 98 000 sq cm = ___________ sq m
4. 5 sq m = ___________ sq cm
5. 100 000 sq cm = ___________ sq m

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Direction: Solve the following problems. Show your solutions and answer on your paper.

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1. A 20 sq m pool is to be tiled by square tiles. How many square centimeters of tiles will be needed to completely tile the pool?
2. A carpenter will use square bricks for the cemented floor of our kitchen. If the area of our kitchen floor is 9 sq m, how many square centimeters of bricks will be needed?

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Home Activity

Enrichment:

Solve for the answers to the following problems:

1. Our front lawn measures 4 meters by 5 meters. What is the area of our lawn in square centimeters?
2. Jay is asked to clean their backyard. If their backyard is 800 cm long and 400 cm wide, how many square meters would Jay clean?
3. Kuya Pops has a fish net which measures 300 cm by 200 cm. He will cut it to make 1 sq m nets. How many pieces can he make?

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Thank You For Listening!