# Session 25: Percentage

<div align="left" dir="ltr" id="bkmrk-session-title-percen"><table style="width: 95.8333%; height: 445.234375px;"><tbody><tr style="height: 29.59375px;"><td style="height: 29.59375px; width: 39.814636%;">**Session Title**

</td><td style="height: 29.59375px; width: 60.187307%;">**Percentage**

</td></tr><tr style="height: 125px;"><td style="height: 125px; width: 39.814636%;">Objectives

</td><td style="height: 125px; width: 60.187307%;">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).

</td></tr><tr style="height: 86.828125px;"><td style="height: 86.828125px; width: 39.814636%;">Topic

</td><td style="height: 86.828125px; width: 60.187307%;">1. Percent to Fraction
2. Percent to Decimal
3. Decimal to Percent

</td></tr><tr style="height: 120.421875px;"><td style="height: 120.421875px; width: 39.814636%;">Materials Required

</td><td style="height: 120.421875px; width: 60.187307%;">1. Work sheets
2. Real life examples
3. Visual Aids – 100-grid charts
4. Pie charts
5. Number lines for illustrating percentages.

</td></tr><tr style="height: 52.390625px;"><td style="height: 52.390625px; width: 39.814636%;">Methodology

</td><td style="height: 52.390625px; width: 60.187307%;">Step-by-Step Demonstration – Clearly model each conversion (percent to fraction, decimal, etc.) and use visual aids.

</td></tr><tr style="height: 31px;"><td style="height: 31px; width: 39.814636%;">Session Duration

</td><td style="height: 31px; width: 60.187307%;">90 Minutes

</td></tr></tbody></table>

</div>### 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?**

1. Percentages help us compare things easily.
2. They're used in real life like:
3. Discounts in shopping (20% off)
4. Test scores (You got 80%)
5. Battery level (Phone at 30%)
6. 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:

1. Divide the class into two teams.
2. Use flashcards or a whiteboard.
3. Each team takes turns answering questions.
4. 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 (40 minutes)**

1. 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
2. What is 20% of 150?  
    30/20 x 100 = 1.5 x 100 = 150
3. 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
4. Ravi scored 72 marks out of 80 in a test. What percentage did he score?  
    A: (72/80) × 100 = 90%
5. A shopkeeper gave a 20% discount on a ₹500 bag. What is the discount amount?  
    A: 20% of ₹500 = (20/100) × 500 = ₹100
6. 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):

1. 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. 
    - Discount amount?  
        (25 ÷ 100) × 800 = ₹200
    - Final price?  
        (₹800 − ₹200 = ₹600)
2. 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

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