Math - Ratio And Proportion.pptx

RATIO AND PROPORTION Prepared by : HAZEL A. PERALTA

Gapan North District GAPAN EAST CENTRAL SCHOOL San Lorenzo ,Gapan City

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.

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.

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



15 : 10 = 6 : 4 means extremes

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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.

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 ________

.3.

players to balls ______________ 4.

smileys to hearts ___________

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.

a.English

b. Mathematics

85

c. Science

88

d.Hekasi

e. Filipino 87

86

f. MSEP 89 89

90

g.EPP

92

Given

1.a : h 2.e : f 3.b :d 4. c :g 5. b :h

h. Character Educ.

Express in colon

95

Express in fraction

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

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

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

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.___________ ______________

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 : Cadboury

Snicker Total Chocolates

6 18

18 72

144

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________________________________________

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

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

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.

Here are the answers.

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.

•

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

Given

Write in Colon

Write in Fraction

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?

ANSWERS : •________________________________________ •________________________________________ •________________________________________ •________________________________________ •________________________________________ •________________________________________ • _______________________________________

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

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.

Here are the answers

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

Think, Feel and Do

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.

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