Session 25: Percentage

Session Title
Percentage
Objectives
By the end of this lesson, students will be able to:
 
Understand the concept of percentage as a part of a whole.
Convert between fractions, decimals, and percentages.
Solve real-life problems involving percentages (e.g., discounts, tax, interest).
Topic 
Percent to Fraction
Percent to Decimal
 Decimal to Percent
Materials Required 
Work sheets
Real life examples
Visual Aids – 100-grid charts
Pie charts
Number lines for illustrating percentages.
Methodology 
Step-by-Step Demonstration – Clearly model each conversion (percent to fraction, decimal, etc.) and use visual aids.
Session Duration
90 Minutes
Intro Activity (75 minutes):
Begin with a question: "What does 50% off mean during a sale?" (15 minutes)
Explain the concept of percent as “per hundred” using real-life examples (e.g., discounts, grades, statistics).
Symbol: %
Example: 50% means 50 out of 100.
Why We Use Percentages?
Percentages help us compare things easily.
They're used in real life like:
Discounts in shopping (20% off)
Test scores (You got 80%)
Battery level (Phone at 30%)
Interest on money (Bank gives 5%)
Game Name: “Percentage Pop Quiz!”(20 minutes)
Objective: Warm up students with quick, fun percentage questions to activate prior knowledge.
Setup:
Divide the class into two teams.
Use flashcards or a whiteboard.
Each team takes turns answering questions.
One point for each correct answer.
Example Questions:
What is 50% of 100?     (Answer: 50)
What percentage is half of something?     (Answer: 50%)
Convert 0.25 to a percentage.       (Answer: 25%)
You got 8 out of 10 on a quiz. What’s your percentage?     (Answer: 80%)
What is 25% of 80?       (Answer: 20)
A pizza is cut into 4 equal slices. If you eat 1 slice, what percentage did you eat? (Answer: 25%)
Which is more: 40% or 3/10? (Answer: 40%)
True or False: 100% means the whole thing. (Answer: True)
This is an activity to see what students know. This should be done together after class.
Percentage Problems with Answers (40 minutes)
Finding a percentage of a number:
Formula: Percentage of a number = Percentage/100 x number
Example: What is 20% of 150?
20/100 x 150 = 0.2 x 150 = 30
What is 20% of 150?
30/20 x 100 = 1.5 x 100 = 150 
What is 25% of 200?
Write the percentage as a fraction:
25% = 25/100
Multiply by the number:
25/100 x 200 = 50
Answer: 25% of 200 is 50
Ravi scored 72 marks out of 80 in a test. What percentage did he score?
A: (72/80) × 100 = 90%
A shopkeeper gave a 20% discount on a ₹500 bag. What is the discount amount?
A: 20% of ₹500 = (20/100) × 500 = ₹100
3. A water tank is 75% full. If its total capacity is 200 liters, how much water is in the tank?
A: 75% of 200 = (75/100) × 200 = 150 liters
Fraction to Percentage Conversion
Method: Multiply the fraction by 100 and add the percent symbol (%).
Examples:
1/2 × 100 = 50
3/4 × 100 = 75
2/5 × 100 = 40
Decimal to Percentage Conversion
Method: Multiply the decimal by 100 or move the decimal point two places to the right.
Examples:
0.5 = 50
0.25 = 25
0.875 = 87.5
Review Questions (5 minutes):
What does “percent” mean? Can you explain it with an example?
Follow-Up Task (10 minutes):
Home Work
A T-shirt is priced at ₹800. There is a 25% discount.
Discount amount?
(25 ÷ 100) × 800 = ₹200
Final price?
(₹800 − ₹200 = ₹600)
A water bottle has 1.5 L of water. 40% has been used.
Used water?
(40 ÷ 100) × 1.5 = 0.6 L
Left?
(1.5 − 0.6 = 0.9 L)
Expected Learning Outcomes:
Knowledge Building:
Understand the concept of percentage
Enhanced academic vocabulary
Skill Building:
Speed and accuracy
Critical thinking