Session 25: Percentage

Session -25

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/concept 

1. Percent to Fraction

2. Percent to Decimal 

3. Decimal to Percent

Material required 

Work sheets, real life examples..,Visual Aids – 100-grid charts, pie charts, or number lines for illustrating percentages.

Methodology 

1. Step-by-Step Demonstration – Clearly model each conversion (percent to fraction, decimal, etc.) and use visual aids.

Session plan (120 min)

Intro activity - 15 min

Begin with a question: "What does 50% off mean during a sale?"

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 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 min

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:

1. What is 50% of 100? (Answer: 50)

2. What percentage is half of something? (Answer: 50%)

3. Convert 0.25 to a percentage. (Answer: 25%)

4. You got 8 out of 10 on a quiz. What’s your percentage? (Answer: 80%)

5. What is 25% of 80? (Answer: 20)

6. A pizza is cut into 4 equal slices. If you eat 1 slice, what percentage did you eat? (Answer: 25%)

7. Which is more: 40% or 3/10? (Answer: 40%)

8. 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  45 mint

1. Finding a percentage of a number:

2. What is 20% of 150?

3.What is 25% of 200?

5.Ravi scored 72 marks out of 80 in a test. What percentage did he score?

A:

(72/80) × 100 = 90%

6.A shopkeeper gave a 20% discount on a ₹500 bag. What is the discount amount?

A:

20% of ₹500 = (20/100) × 500 = ₹100

7. 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

8. A fruit basket has 80 apples. 25% of them are rotten. How many apples are rotten?

A:

25% of 80 = (25/100) × 80 = 20 apples

9. A jacket that costs ₹2,000 is on sale for 30% off. What is the sale price?

A:

30% of ₹2,000 = ₹600

Sale price = ₹2,000 - ₹600 = ₹1,400

10. There are 60 students in a class. 40% are boys. How many boys are there?

A:

40% of 60 = (40/100) × 60 = 24 boys

11. A bottle contains 2 L of juice. 25% of it is orange juice. How much orange juice is there?

Solution:

25% of 2 L = (25 ÷ 100) × 2 = 0.5 L

. Fraction to Percentage Conversion

Method: Multiply the fraction by 100 and add the percent symbol (%).

 Decimal to Percentage Conversion

Method: Multiply the decimal by 100 or move the decimal point two places to the right.

Follow-Up Task: Real-Life Percentage Practice (With Answers)  30 mint

1. A T-shirt is priced at ₹800. There is a 25% discount.

(a) Discount amount = (25 ÷ 100) × 800 = ₹200

(b) Final price = ₹800 − ₹200 = ₹600

2. A water bottle has 1.5 L of water. 40% has been used.

(a) Used water = (40 ÷ 100) × 1.5 = 0.6 L

(b) Left = 1.5 − 0.6 = 0.9 L

3. A fruit seller has 200 apples. 35% are spoiled.

(a) Spoiled = (35 ÷ 100) × 200 = 70 apples

(b) Good = 200 − 70 = 130 apples

4. A student saves ₹500 monthly. She spends 20% on books.

Spending = (20 ÷ 100) × 500 = ₹100

5. Rice price increased by 10%. Old price = ₹50 per kg.

Increase = (10 ÷ 100) × 50 = ₹5

New price = ₹50 + ₹5 = ₹55 per kg

Have the children repeat the quiz game given above. 15 mint

Expected Learning Outcomes:

By the end of the lesson, students will be able to:

. Define what a percentage is and explain its meaning in real-life contexts.

. Apply percentage concepts to solve real-world problems (e.g., discounts, tax, tips).

. Demonstrate understanding through class participation, guided practice, and independent work.