RATIO AND PROPORTION

2. Hi I’m your friend ! We will have new things to learn
in such an easy and very fun way. All you need to do
is open your mind, senses and your heart to totally
acquire and fully understand the different activities
about the lesson that will makes you one of the best
in your Mathematics class. Always remember
you cannot be a good Mathemathecian without
understanding , analyzing, hardworking and focusing
in solving problems and equation. You can do it,
just do your best shoot and believe in yourself
that you can do it !!!
GOOD LUCK MY FRIEND……………
Jumble the words to know our topic today. Put
the correct words in the box.
TIP : It has something to do with Equality.

3. Teach yourself
.
Just like what the saying goes …….. “AN APPLE A DAY ,
MAKES THE DOCTOR AWAY .” Making notes and
information about the lesson will helps you understand
better the lesson .
TAKE NOTE :
Ratio is a comparison between the number of
elements of two sets.
Example : Alden has 5 pencils and 10 crayons. What do you
think will be the ratio of pencils to crayons ?
Ratio can be expressed by using colon:5 : 10 or as fraction :
5 / 10 .
As a rule , ratios should be expressed in simplest form, just
like fractions. Changing ratios to simplest form is like reducing
fractions to lowest terms. So, 5 / 10 willbecome ½.

4. Proportion is a pair of equivalent ratios.
Example: There are 15 dogs and 10 cats .
Give the ratios. 15 : 10
There are 6 girls and 4 boys.
Give the ratio. 6 :4
The proportion is:15 : 10= 6 : 4

5.  15 : 10 = 6 : 4
means
extremes
 One method of checking a proportion is through the product test. If the
product of the means is equal to the product of the extremes, then the
pair of ratios forms a proportion. Example : We multiply the two means
which is 10 and 6 so :
10 x 6 = 60.
Then we multiply the two extremes which is 15 and 4 so :
15 x 4 = 60.
The product of two ratios – 15 : 10 and 6 : 4 are the same 60 so we can
say that the two ratios are proportions.

6. TEST YOURSELF SCORE : _______________
A. Give the ratio in simplest form in two different ways. Write your answer in the
blank.
1.
pencils to papers _______
2.
moons to suns ________

7. .
players to balls ______________
4.
smileys to hearts ___________
3.

8. 5.
diamonds to circles _____________
B. Look at the stars that shows the scores of a
Grade 6 pupil in different subjects and write them
in two ways. Write your answer in the right column
after the given.

9. a.English b. Mathematics c. Science
85 88 86
d.Hekasi e. Filipino f. MSEP
87 89 90
g.EPP
92 h. Character Educ. 95
89
Given Express in colon Express in fraction
1.a : h
2.e : f
3.b :d
4. c :g
5. b :h

10. Practice SCORE :_______________
Express the given ratio in simplest form. Write your answer in the blanks
before the number.
______1. 250 1000
______ 2. 60 650
______ 3. 220 600
______4.
650 250
_______ 5.
1200 300

11. Practice More SCORE : _______________
Using the inverted pyramid below, form ratios and proportions. Write them in
the proper column. One example is done for you.

12. Items Ratio Proportions
5 players to 5 soccer
ball : 5 volley balls to
5 players
5 : 5 5 : 5 and 5 : 5
Red balls to green
balls: players to red
balls
Players to bat : volley
balls to nets
Player shirt to player
pants : Player shoes
to player hat.
Volly balls to soccer
balls : players and hat

14. Exercise 1 SCORE : _____________
Find the ratio /proportion of the following. Use two
different ways in writing them. Write your answer in the
blanks after the given.
1. 18 flowers to 9 vases and 10 fruits into
5 baskets_______ _________
2. 10 compared to 22_____________ ______________
3.There are 25 chocolates to 14 kids_________ ________
4.In a furniture factory, a delivery truck contains 10 furniture.
Give the ratio of delivery truck into furniture._____ _____
5.In a birthday party, each kid will be given 3 chances
to hit the pot (palayok .) If there are 5 kids to hit the pot ,
15 chances will be given to all of them.
Write the proportion.___________ ______________

15. Cadboury
6 18
Snicker
18 72
Total
Chocolates
144
Exercise 2 SCORE : _______________
Read and analyze the problem.
A box of chocolate contains
cadboury, and snicker. For every 6 cadboury
chocolate there are 18 snicker. Complete the
table :

16. Exercise 3 SCORE :_________________
Read carefully the Mathematics phrases .Find the ratio and
proportion of the following. Use two different ways in writing them.
1. There are 20 cars in a parking lot. If each cars has 4 wheels ,
What is the ratio of cars to wheels ?__________________________
What are given ?_________________________________________
What is the ratio ?________________________________________
Write in two ways________________________________________
2. Every semester each student give P 5,000.00, the half payment of
their tuition fee. Give the ratio of tuition fee to semester.
What are given ?_________________________________________
What is the ratio ?________________________________________
Write in two ways________________________________________
3. There are 90 members of Supreme Pupil Government to 60
members of Science Club.
What are given ?_________________________________________
What is the ratio ?________________________________________
Write in two ways________________________________________

17. Exercise 5 SCORE :_________________
Find the proportion. Match column A to
column B. Write your answer in the blank before
the number.
A B
______ 1) 5 : 4 a. 30 : 25
_______2) 6 : 5 b. 60 : 100
_______ 3)15 : 25 c. 30 : 175
_______ 4) 11 : 9 d. 10 : 8
________5)12 : 17 e. 49 : 91

18. Exercise 4 SCORE :________________
Do the ratio form a proportion ? Write big letter E
if the proportions are equal while write big letter N if the
proportion are not equal. Write your answer in the
blanks.
1)21 : 7 _____ 18 : 6 6) 7 : 8 _____ 14 : 16
2) 6 : 5 _____ 22 : 7 7) 3 : 4 _____ 54 : 72
3) 7 :3 _____ 8 : 4 8) 3 : 5 _____ 9 : 15
4)13 : 8 _____ 14 : 7 9) 3 : 5 _____ 10 : 6
5)21 : 7 _____ 18 : 6 10) 7 : 3 _____ 8 : 4

19. Have you finished answering all the
questions? Do you think your answers are
correct? Turn the correct answers on the next
page. Check your answers honestly.
Check your answer
.
Here are the answers.

20. What’s your score?
How many correct answers did
you get?
If you get a score of 75,
congratulations.
You may proceed to the next
module.
If you get a score of 74 and
below study
this module.

21. Enrichment 1 SCORE :________________
1- 5 Give the ratio of each of the following in two different
ways. Write your answer in the proper column :
•

22. Given Write in Colon Write in
Fraction

23. ENRICHMENT 2 SCORE :___________
Read, understand, analyze and answer the questions
below.Write your answer below all the questions.
Your Ninong and Ninang buy gifts as their Christmas
present this coming Holiday for you.Ninong buy you 2
sporty watch for P 500.00 at
Walter Mart, Gapan City while Your Ninang buy you also 2
beautiful bag for P 500.00 also. Give the ratio of watch and
bag to the amount of money your Ninong and Ninang have.
•What did your Ninong and Ninang buy ?
•How much did each pay?
•What are being compared in the problem?
•Write the ratio in two ways.
•How can we write the two ratios to show equality in two
• ways?
•What do you call two equal ratios?

24. ANSWERS :
•________________________________________
•________________________________________
•________________________________________
•________________________________________
•________________________________________
•________________________________________
• _______________________________________

25. Enrichment 3 SCORES :_____________
Write = if the proportion is equal and = if
the proportion is not equal.
1) 3 : 12 _____ 1 : 4
2) 4 : 10 _____ 2 : 5
3) 7 : 21 _____ 3 : 1
4) 15 : 50 ____ 3 : 9
5) 25 : 60 ____ 5 : 6

26. Check your answer
Have you finished answering all the
questions? Do you think your answers
are correct? Turn the correct answers
on the next page. Check your answers
honestly.

27. CONGRATULATIONS!
I know that you better
understand now the Ratio and
Proportion.
KEEP UP THE GOOD WORK!!!

28. Think, Feel and Do

29. REMEMBER
To form ratio / proportion for groups of objects
/ numbers
Ratio is a comparison between the number of
elements of two sets
Proportion is a pair of equivalent ratios.
Use colon (:) and fractions in writing ratios
and proportion.
To change ratios to simplest form is like reducing
fractions to lowest terms.
The parts of a proportion are:
means and extremes
One method of checking a proportion is
through the product test. If the
product of the means is equal to the
product of the extremes, then the pair of ratios
forms a proportion.

30. References
Lesson Guide in Elementary
Mathematics Grade 6 2010 pages 289 –
293
Math Module 3rd Quarter pages 3 – 6
research in the internet
http //lrdms.deped.gov.ph
Interactive Whiteboard Resource
( Video Lesson )
By : Sanny Tendilla
iwb – resources . Blogspot. com