math

3. TODAY’S LESSON
Expressing One Value as a
Fraction of Another Given
Their Ratio and Vice Versa

4. Objectives
1.) The learner expresses one value as a
fraction of another given ratio and vice
versa (M6NS-IIa-129)
2.) Find How many times one value is as
large as another given their ratio and vice
versa (M6NS-IIa-130)

5. READING DRILL
THE EYEBROWS
Eyebrows are part of the face which serve two purposes—for
beauty and protection.
Eyebrows make the face look more beautiful by calling
the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes
sweat. Without the eyebrows, drops of sweat may run into the eyes
blur the sight. Sweat in itself is poisonous and should be rid-off.

6. Look around your room.
What are the things you
find inside?

7.  How will you write the
comparison of boys and girls in
fraction?
 Is there any other way in
writing it?
 How?

8. Mrs. Tan bought 2 baskets of mangoes and 3
baskets of avocados. All baskets had the same
number of fruits.
Problem Opener

9. The ratio of the number of baskets of
mangoes to the number of baskets of
avocados is 2:3

12. Ivy has some yellow and red
beads.
Yellow Beads:
Blue Beads:
The ratio of the
number of red beads
to the number of
yellow beads is ___:___

13. Give the ratio of each of the following orally.
1.) Squares to circles

14. 2.) Flowers to leaves

15. 3.) books to crayons

16. 4.) basketballs to tennis balls

27. 5.) chairs to tables

28. Mother bought a bag of rice and a
bag of flour
3 kgs.
8 kgs.
The ratio of the
mass of the rice
to the mass of
the flour is ___:___

29. How do we compare
the quantities of 2 or
more sets of objects?

30. Write a ratio for each of the following.
1) 4 wins and two losses in a basketball
2) 24 girls to 18 boys
3) 3 cups of sugar for every 5 cups of flour
4) 2 men for every 5 cups of rice
5) 1 book for every 2 pupils

31. Write a ratio for each of the following.
1. There are 5 kites to seven boys.
2. In a t-shirt factory, each box contains 3 t-shirts. Give the ratio
of boxes to t-shirts.
3. In a camping, each boy scout was given 4 hotdogs. If there are
5 boy scouts, 20 hotdogs were cooked. Write the proportion.
4. There are 10 buses at a station. If each bus has 6 wheels, what
is the ratio of buses to wheels?
5. Every quarter each student submits 2 projects in TLE. Give the
ratio of projects to quarters.

33. TODAY’S LESSON
Defining and Illustrating the
Meaning of Ratio Using
Concrete or Pictorial Models

34. Objectives
Define and Illustrate the meaning
of ratio using concrete or pictorial
models (M6NS-IIa-131)

35. READING DRILL
THE EYEBROWS
Eyebrows are part of the face which serve two purposes—for
beauty and protection.
Eyebrows make the face look more beautiful by calling
the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes
sweat. Without the eyebrows, drops of sweat may run into the eyes
blur the sight. Sweat in itself is poisonous and should be rid-off.

36. EQUIVALENT FRACTIONS
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37. What is your favorite
drink for snacks?

38. Mother is preparing Calamansi Juice:
Problem Opener
a.) For each glass of Calamansi Juice, 5 pieces of
Calamansi are needed.
b) If she makes 2 glasses, how many pieces of calamansi
are needed?
c) If she makes 3 glasses, how many pieces of
calamansi are needed?

39. Analyze the problem:
a) What is asked?
b) What are the given facts?
c) What strategies may be used to
answer the problem?

40. Illustrating the problem using blocks.
a)
Glass:
Kalamansi:
b)
Glass:
Kalamansi:
c)
Glass:
Kalamansi:
How many pieces of calamansi are there in
a glass of water in a?, b?, c?
Which of these ratios is expressed in lowest
term/simplest form? (1:5). Why?

42. Reduce the following ratios in lowest term. Choose the letter that
corresponds to the ratio in simplest form.
E = 3:4 I = 1:2 R = 2:9
T = 15:4 G = 1:6 N = 5:6
S = 1:4
4:8 15:18 30:8 18:24
6:27 15:20 8:32 60:16
7:14 25:36 4:24

43. Study the table below and answer the question after
it.
Things Quantity Costs
Stamps 10 Php50
Patches 15 Php180
Bookmark 20 Php300
Diary 12 Php300
In simplest form, how do you express the following ratio of:
a) stamps to patches
b) bookmark to patches
c) diary to patches
d) bookmark to stamps
e) diary and stamps

44. Can a ratio be expressed
in simplest form? How?

45. Reduce these ratios in simplest form.
1) 10:12
2) 9:15
3) 18:24
4) 21:27
5) 40:50

46. Check the ratios that are expressed in
lowest terms.
1. 5:15
2. 9:20
3. 11:22
4. 8:15
5. 6:3

48. TODAY’S LESSON
Defining and Illustrating the
Meaning of Ratio Using
Concrete or Pictorial Models

49. Objectives
Define and Illustrate the meaning
of ratio using concrete or pictorial
models (M6NS-IIa-131)

50. READING DRILL
THE EYEBROWS
Eyebrows are part of the face which serve two purposes—for
beauty and protection.
Eyebrows make the face look more beautiful by calling
the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes
sweat. Without the eyebrows, drops of sweat may run into the eyes
blur the sight. Sweat in itself is poisonous and should be rid-off.

51. READING DRILL
Choose the letter of the correct answer.
1. The part of the body mentioned in the selection is
______.
a. eyelashes
b. eyelids
c. eyebrows

52. READING DRILL
2. This part makes the face look
a. beautiful
b. sad
c. sleepy

53. READING DRILL
3. Aside from beauty, they also serve the purpose of
a. communication
b. conservation
c. protection
4. They call attention to the
a. nose
b. eyes
c. cheeks

54. READING DRILL
5. They make them look a. uglier
b. healthier
c. funnier
6. They protect the eyes from
a. sweat
b. glare
c. disease

55. READING DRILL
7. Sweat is
a. sweet
b. useful
c. poisonous
8. Sweat can blur the sense of
a. sight
b. smell
c. hearing

56. READING DRILL
9. Sweat should be
a. conserved
b. rid-off
c. licked
10. Eyebrows
a. are useful
b. should be shaved
c. are useless

57.  What is ratio?
 How will you write the following in ratio?
Red ball to blue ball to green ball?
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58. Problem Opener
What is the ratio of the number of blue
cubes to the number of red cubes?

59. Let us now place the cubes in groups of 2.

60. Place the cubes in groups of 3

61. Finally group them into 6
What is the ratio?
6:12, 3:6, 2:4 and 1:2 are called Equivalent Ratios.
1:2 is the ratio in the Simplest Form

62. Take a look at the ratio 12:8. How do we write it in simplest
form?
Step 1: Divide 12: 8 by the common factor 2 to get 6:4
Step 2: Divide 6:4 by the common factor 2 to get 3:2
The ratio 3:2 cannot be
divided exactly by a common
factor to get another
equivalent ratio. Thus, 3:2 is
the ratio in Simplest Form

63. EXERCISE 1.
There are 9 papayas and 15 pineapples. What is the ratio in simplest
form?
The ratio of papaya to
pineapple is 3:5

64. A Volleyball Team won 8 games out of 12 games it
played.
a) Write the ratio of wins to games played.
b) Write the ratio of wins to losses.
c) Write the ratio of losses to games played.

66. In a Grade VI Mathematics class, there are 27
boys and 21 girls.
a) Write the ratio of boys to girls.
b) Write the ratio of girls to boys.
c) Write the ratio of girls to the whole class.
d) The ratio of boys to the whole class.

67. How do we express ratio in
simplest form?

68. Write each of the following ratios in simplest form:
1) 12:18
2) 25:10
3) 21:56
4) 20:25
5) 30: 54

69. Reduce the ratios to lowest terms.
1. 18:20 4. 28:50
2. 9:36 5. 11:44
3. 12:3

71. TODAY’S LESSON
 Forming ratio/proportion for groups of
objects/numbers
 Using colon (:) and fractions in writing ratios
and proportion
 Writing ratio/proportion using colon or
fraction form

72. Objectives
 Form ratio/proportion for groups of objects/numbers
 Use colon (:) and fractions in writing ratios and
proportion
 Write ratio/proportion using colon or fraction form

73. READING DRILL
THE EYEBROWS
Eyebrows are part of the face which serve two purposes—for
beauty and protection.
Eyebrows make the face look more beautiful by calling
the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes
sweat. Without the eyebrows, drops of sweat may run into the eyes
blur the sight. Sweat in itself is poisonous and should be rid-off.

74. How do we write fractions?
What are the parts of a fraction?
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75. Problem Opener
What are the things that you see in a
grocery store?

76. EXERCISE 1.
Ronald bought 3 pencils for 10 at Ellen’s School Supply
Store. Ruby bought 6 pencils for 20. Give the ratio of
pencils to the amount of money of each child.

77. Give the ratio of each of the following in
two different ways.
a) 5 books to 3 crayons
b) 7 flowers to 21 leaves
c) 3 forks to 9 spoons
d) 8 basketballs to 24 tennis balls

79. Find the ratio/proportion of the following. Use 2
different ways in writing them.
1) During the Joint BSP and GSP sunrise parade, there
are 56 Boy scouts and 36 Girl scouts who participated
in the parade.
2) There are 4 sets of Encyclopedia and 48 Thesaurus in a
shelf.

80. 3. There are 3 caimito trees and 4 mango trees in Mang
Tino’s orchard. While in Mr. Muñoz’ orchard, there are 6
caimito trees and 8 mango trees. Give the ratio of the
mango to caimito trees in each orchard then write a
proportion.

81. What is a ratio? proportion?
What are the ways of writing
ratio/proportion?

82. Read and answer the following:
1. In a bag of candy, for every 3 chocolate pieces
there are 7 sugar pieces. What is the ratio of
chocolate pieces to sugar pieces?
2. At a burger shop, the ratio of regular sodas sold to
diet sodas sold was 7:1. For every ___ diet sodas sold,
there is ___ regular soda sold.

83. 3. At a stall, the ratio of hotdogs sold to
hamburgers sold was 7:5. For every ____
hamburgers sold, there were ____ hotdogs sold.
4. At the pet store, the ratio of dogs to cats was
6:4. For every ___ cats there are ___ dogs.
5. For every formation of 5 boys there is 1 girl.
What is the ratio of boys to girls.

84. Form ratio/proportion for the following using 2 different ways.
1) 7 to 8
2) 3 to 5 is equivalent to 6 to 15
3) two barangays to 13 348 people
4) one boat to 3 people is equal to 6 boats to 18 people
5) 45 members of Glee Club to 30 members of Debate Club

86. TODAY’S LESSON
Reducing Ratios to
Lowest Terms
Objective:
 reduce ratios to lowest terms

87. READING DRILL
THE EYEBROWS
Eyebrows are part of the face which serve two purposes—for
beauty and protection.
Eyebrows make the face look more beautiful by calling
the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes
sweat. Without the eyebrows, drops of sweat may run into the eyes
blur the sight. Sweat in itself is poisonous and should be rid-off.

88. READING DRILL
Choose the letter of the correct answer.
1. The part of the body mentioned in the selection is
______.
a. eyelashes
b. eyelids
c. eyebrows

89. READING DRILL
2. This part makes the face look
a. beautiful
b. sad
c. sleepy

90. READING DRILL
3. Aside from beauty, they also serve the purpose of
a. communication
b. conservation
c. protection
4. They call attention to the
a. nose
b. eyes
c. cheeks

91. READING DRILL
5. They make them look a. uglier
b. healthier
c. funnier
6. They protect the eyes from
a. sweat
b. glare
c. disease

92. READING DRILL
7. Sweat is
a. sweet
b. useful
c. poisonous
8. Sweat can blur the sense of
a. sight
b. smell
c. hearing

93. READING DRILL
9. Sweat should be
a. conserved
b. rid-off
c. licked
10. Eyebrows
a. are useful
b. should be shaved
c. are useless

94. Reduce these fractions to lowest terms:
1. 2/4
2. 6/8
3. 12/18
4. 25/75
5. 36/72
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95. What is your favorite merienda?

96. Problem Opener
The puto is sliced into 6 equal parts and mother
took 2 of the slices to serve for merienda.
1
2
What is the ratio of the
remaining slices of puto to
the whole? Why? Which
ratio do you think is in
lowest terms? Why?

97. The recipe for a hotcake uses 2 cups of flour and and 1
cup of milk.
• What is the ratio of flour to milk?
• For 4 hotcakes, what must be ratio of flour to milk?
• What is the simplest form of the ratio of flour to
milk?

98. Express the given ratio in simplest or lowest terms.
1) 8 hours to 10 hours
2) 40 minutes to 1 hour
3) 25 centavos to a peso
4) 2 dozens to 18 things
5) 264 km in 3 hours
6) 18 boys to 16 girls
7) 25 atis to 30 mangoes

99. How do you express a ratio in
lowest tem?

100. Write the ratios in lowest term.
1. 15 minutes to 1 hour
2. 8 months to 1 year
3. 50 cm to 1m
4. 5m to 100cm
5. 3 decades to 20 years

101. Reduce the ratios to lowest terms.
a) 18:20 d) 28:50
b) 9:36 e) 11:44
c) 12:3