Melloso, CristyBEEDIV-1

MATHEMATICS VITHIRD QUARTER

I. OBJECTIVESAt the end of the lesson, students will be able to:a. Forms ratio and proportion for groups of objects or numbers,b. Use colon and fraction in writing ratios and proportion, andc. Find the missing term in proportion.

II. SUBJECT MATTERA. TOPIC: Ratio and ProportionB. REFERENCE: Mathematics for Everyday Use textbook Grade6, pages

128-134C. MATERIALS: Chalks, Media for Microsoft PowerPoint, Projector

III. PROCEDUREPreparatory ActivitiesA. DRILL

Direction: Express the following fractions in lowest term.

1. 918

4. 729

2. 1530

5. 1842

3. 2820

B. REVIEWDirection: Divide the following.

1.23

÷ 49

2. 45

÷ 215

3. 89

÷ 56

4.38

÷ 14

5. 38

÷ 23

Developmental ActivitiesC. MOTIVATION

The teacher will play a short video about Math so that, students will listen carefully and participate well during class hour.

D. PRESENTATIONTeacher will present their lessons through PowerPoint presentation.

E. DISCUSSIONWhat is Ratio? What is Proportion?

- Ratio is a comparison of two quantities.- Two equal ratios form proportion.- Ratios can be written as fractions.- We can use colon (:) or fraction form in writing ratios.

Example:Mang Jose planted 12 fruit trees in his orchard. Of these trees, 5

are mango trees and the rest are apple trees.*picture here as shown in the slideshow presentation*

Let us compare the number of mango trees to the total number of fruits planted.The ratio is 5:12 or 5/12.

- Ratios, like fraction can be express in lowest term.Ex. 4:2 = 2:1 8/10 = 4/5

3:15 = 1:5- Ratios must be expressed first in both measurement and unit.

Ex. 6hours to 2daysTo make the unit same, we will change days to hours.6hours to 48hours = 6:48 = 1:8

- The statement that the two ratios are equal called Proportion.Example: 3:10 = 15:50(3 and 50 are called extremes, 10 and 15 are called means)

To prove that they are equal, use cross multiplication.3 . 50 = 150 15 . 10 = 150

- Finding the term in proportion.n:3 = 10:15 n is the unknown variable.

To find the unknown variable, follow these steps.

Step1. Write the proportion in fraction form.

n3 =

1015

Step2. Multiply the extremes and then the means. Note that we use the raised dot (●) for multiplication instead of x symbol.

n3 =

1015

n . 15 = 15n, 10 . 3 = 30

Step3. Divide both sides of the equation by 15, the coefficient of the variable.

15n15

= 3015

n = 2

To check, replace n with 2 then cross multiply.Hence, 2:3 = 10:15 is a proportion.

IV. EVALUATIONA. Direction: Express the following ratios in lowest term.

1. 5:202. 12:243. 6:184. 21:75. 8:18

B. Direction: Find the value of n in each following proportion.6. n/4 = 3/67. 18/12 = 10/n8. 5:n = 1:29. 3:7 = 24:n10.n/10 = 18/5

V. ASSIGNMENTIn your book, answer page 132 A and B. Put your answers on your notebook.