Session 25: Percentage

Session	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.