Quarter 2 Module 2 Defining and Illustrating Ratio and Proportion
Lesson 2: Defining and Illustrating Ratio and Proportion
Imagine that you are in a room without any doors or windows. How would you get out?
Stop imagining
Drill
Drill
Ratio
How do we write a ratio?
Proportion
Parts of Proportion
Ratio is the spoken language of arithmetic. It is a way of comparing two or more quantities having the same units.
A ratio can be written in three different ways such as:
word form → a is to b
colon form → a : b
A proportion is an equation that says one ratio is equal to another
A proportion is an equation stating that two ratios are equal
2:3 = 4:6
Parts of Proportion
Means
Extremes
2:3 = 4:6
12
12
12
12
√ Proportion
Colon form
Fraction form
2 is to 3 and 10 is to 15
Answer:
Answer:
Colon form
Fraction form
3 is to 4 and 9 is to 12
Answer:
Answer:
Colon form
Fraction form
1 is to 5 and 2 is to 3
Answer:
Answer:
Write proportion or not proportion.
Equation | Solution | Answer |
1.) 2 is to 3 and 6 is to 12 | | |
2.) 3 is to 5 and 9 is to 15 | | |
3.) 4 is to 6 and 5 is to 7 | | |
4.) 5 is to 7 and 10 is to 14 | | |
5.) 6 is to 8 and 12 is to 24 | | |
Types of Proportion
Direct Proportion:
When one quantity increases the other quantity increases at the same rate and vice versa.
Types of Proportion
Indirect Proportion:
When one quantity increases the other quantity decreases and vice versa.
6 men can plow a field in 2 days. How long will 3 men do it?
Types of Proportion
Partitive Proportion:
A whole is divided into parts that is proportional to the given ration.
The sum of two numbers is 215. if the ratio is 2:3 find the larger number.
Types of Proportion
Direct Proportion:
When one quantity increases the other quantity increases
Ex. 2:4 = 4:8
A car is able to travel 210km in 3 hours. How far can it travel in 5 hours
Indirect Proportion:
when one quantity increases the other quantity decreases
Ex. 4:8 = 2:4
Five people can finish painting a wall in 5 hours. If only two people are available, how many hours do they have to finish the same job?
Partitive Proportion:
A whole is divided into parts that is proportion to the given ratio.
Ex. 8:20 = 2:5
A glass of jar has 64 chocolates. Mark, Dave and Ralph will share the chocolates in the ratio 1:1:2. How many chocolates will each one of them get?
Activity
Identify the types of proportion whether Direct, Indirect or Partitive Proportion
Problem | Equation | Type of Proportion |
| 15:2=N:6 | |
2. A mother with 70hectares is dying she want to divide it to her 2 sons in a ratio of 2:5? | 70=2:5 | |
3. It takes 2 days for 10 laborers to harvest mango in the orchard. How long will 20 laborers take to harvest mango on the same orchard? | 2:10=N:20 | |