Session 25: Percentage
Session Title |
Percentage |
Objectives |
By the end of this lesson, students will be able to: 1.Understand the concept of percentage as a part of a whole. 2.Convert between fractions, decimals, and percentages. 3.Solve real-life problems involving percentages (e.g., discounts, tax, interest). |
Topic |
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Materials Required |
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Methodology |
Step-by-Step Demonstration – Clearly model each conversion (percent to fraction, decimal, etc.) and use visual aids. |
Session Duration |
90 Minutes |
Intro activity - (35 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)
1. Finding a percentage of a number:
2. What is 20% of 150?
3.What is 25% of 200?
- Ravi scored 72 marks out of 80 in a test. What percentage did he score?
A: (72/80) × 100 = 90%
2. 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 (%).
Decimal to Percentage Conversion
Method: Multiply the decimal by 100 or move the decimal point two places to the right.
Review Questions (5 minutes)
- What does “percent” mean? Can you explain it with an example?
Follow-Up Task:(10 minutes)
Home Work
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)
Expected Learning Outcomes:
Knowledge Building
- Understand the concept of percentage
- Enhanced academic vocabulary
Skill Building
- Speed and accuracy
- Critical thinking
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