TODAY’S LESSON
Expressing One Value as a Fraction of Another Given Their Ratio and Vice Versa
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)
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 attention to the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes from sweat. Without the eyebrows, drops of sweat may run into the eyes and blur the sight. Sweat in itself is poisonous and should be rid-off.
Look around your room. What are the things you find inside?
Mrs. Tan bought 2 baskets of mangoes and 3 baskets of avocados. All baskets had the same number of fruits.
Problem Opener
The ratio of the number of baskets of mangoes to the number of baskets of avocados is 2:3
Ivy has some yellow and red beads.
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Yellow Beads:
Blue Beads:
The ratio of the number of red beads to the number of yellow beads is ___:___
Give the ratio of each of the following orally.
1.) Squares to circles
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2.) Flowers to leaves
LET’S DO THIS!
3.) books to crayons
LET’S DO THIS!
4.) basketballs to tennis balls
LET’S DO THIS!
5.) chairs to tables
LET’S DO THIS!
YOU CAN DO IT !
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 ___:___
What have you learned?
How do we compare the quantities of 2 or more sets of objects?
ASSESSMENT
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 |
ASSIGNMENT
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. |
TODAY’S LESSON
Defining and Illustrating the Meaning of Ratio Using Concrete or Pictorial Models
Objectives
Define and Illustrate the meaning of ratio using concrete or pictorial models (M6NS-IIa-131)
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 attention to the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes from sweat. Without the eyebrows, drops of sweat may run into the eyes and blur the sight. Sweat in itself is poisonous and should be rid-off.
EQUIVALENT FRACTIONS
KING BACK
L
What is your favorite drink for snacks?
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?
Analyze the problem:
a) What is asked?
b) What are the given facts?
c) What strategies may be used to answer the problem?
Illustrating the problem using blocks.
a)
Glass:
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Kalamansi:
b)
Glass:
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Kalamansi:
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c)
Glass:
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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?
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 |
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6:27 | 15:20 | 8:32 | 60:16 |
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7:14 | 25:36 | 4:24 |
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YOU CAN DO IT !
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
What have you learned?
Can a ratio be expressed in simplest form? How?
ASSESSMENT
Reduce these ratios in simplest form.
1) 10:12 2) 9:15 3) 18:24 4) 21:27 5) 40:50 |
ASSIGNMENT
Check the ratios that are expressed in lowest terms. 1. 5:15 2. 9:20 3. 11:22 4. 8:15 5. 6:3 |
TODAY’S LESSON
Defining and Illustrating the Meaning of Ratio Using Concrete or Pictorial Models
Objectives
Define and Illustrate the meaning of ratio using concrete or pictorial models (M6NS-IIa-131)
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 attention to the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes from sweat. Without the eyebrows, drops of sweat may run into the eyes and blur the sight. Sweat in itself is poisonous and should be rid-off.
READING DRILL
Choose the letter of the correct answer.
1. The part of the body mentioned in the selection is the ______.
a. eyelashes
b. eyelids
c. eyebrows
READING DRILL
2. This part makes the face look
a. beautiful
b. sad
c. sleepy
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
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
READING DRILL
7. Sweat is
a. sweet
b. useful
c. poisonous
8. Sweat can blur the sense of
a. sight
b. smell
c. hearing
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
Red ball to blue ball to green ball?
KING BACK
L
Problem Opener
What is the ratio of the number of blue cubes to the number of red cubes?
Let us now place the cubes in groups of 2.
Place the cubes in groups of 3
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
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
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
LET’S DO THIS!
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.
YOU CAN DO IT !
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.
What have you learned?
How do we express ratio in simplest form?
ASSESSMENT
Write each of the following ratios in simplest form:
1) 12:18 2) 25:10 3) 21:56 4) 20:25 5) 30: 54 |
Reduce the ratios to lowest terms.
1. 18:20 4. 28:50
2. 9:36 5. 11:44
3. 12:3
TODAY’S LESSON
Objectives
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 attention to the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes from sweat. Without the eyebrows, drops of sweat may run into the eyes and blur the sight. Sweat in itself is poisonous and should be rid-off.
How do we write fractions?
What are the parts of a fraction?
KING BACK
L
Problem Opener
What are the things that you see in a grocery store?
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.
LET’S DO THIS!
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
YOU CAN DO IT !
Find the ratio/proportion of the following. Use 2 different ways in writing them.
YOU CAN DO IT !
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.
What have you learned?
What is a ratio? proportion?
What are the ways of writing ratio/proportion?
ASSESSMENT
Read and answer the following:
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. |
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. |
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
TODAY’S LESSON
Reducing Ratios to Lowest Terms
Objective:
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 attention to the eyes. They make the eyes look healthier and brighter.
Eyebrows not only beautify the face but also protect the eyes from sweat. Without the eyebrows, drops of sweat may run into the eyes and blur the sight. Sweat in itself is poisonous and should be rid-off.
READING DRILL
Choose the letter of the correct answer.
1. The part of the body mentioned in the selection is the ______.
a. eyelashes
b. eyelids
c. eyebrows
READING DRILL
2. This part makes the face look
a. beautiful
b. sad
c. sleepy
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
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
READING DRILL
7. Sweat is
a. sweet
b. useful
c. poisonous
8. Sweat can blur the sense of
a. sight
b. smell
c. hearing
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
Reduce these fractions to lowest terms:
1. 2/4
2. 6/8
3. 12/18
4. 25/75
5. 36/72
KING BACK
L
What is your favorite merienda?
Problem Opener
The puto is sliced into 6 equal parts and mother took 2 of the slices to serve for merienda.
What is the ratio of the remaining slices of puto to the whole? Why? Which ratio do you think is in lowest terms? Why?
LET’S DO THIS!
The recipe for a hotcake uses 2 cups of flour and and 1 cup of milk.
YOU CAN DO IT !
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
What have you learned?
How do you express a ratio in lowest tem?
ASSESSMENT
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 |
Reduce the ratios to lowest terms.
a) 18:20 d) 28:50
b) 9:36 e) 11:44
c) 12:3