# 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;">**Session Title**

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

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

</td><td style="height: 125px;">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;">Topic

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

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

</td><td style="height: 120.421875px;">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;">Methodology

</td><td style="height: 52.390625px;">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;">Session Duration

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

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

</div>### 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:**

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:

![](https://lh7-rt.googleusercontent.com/docsz/AD_4nXeMizUTjuvtmwjdnahcdPq1yvRBWTGyD97BFwM-KoOsuIZeb9Es2ShSoqLeXHh_T-zt1hOot8OwjwUzGKFDiuYr76s4vA2MWBZfcf3hF4oJyvubTo1_gV9_mLasnNe2BFMb1xy9y2lXrOOwM_6z1x0?key=8PiCaxx6aGYcBydYSlrIlM_5)

2\. What is 20% of 150?

![](https://lh7-rt.googleusercontent.com/docsz/AD_4nXdp4DifDTTNkCd5UMsfNirCahDwiv2v1bKFvUZlneKcTr_cnMyxxdOkFtdMoRPZKdiS1wBO13_4PfnZCNjwhkYdu48S7ilqU_BXjXHXKb0oJMhN5nLZGn-ODUcNQDh50nm8CDcpogXxCnTc4Rmnm0I?key=8PiCaxx6aGYcBydYSlrIlM_5)

3.What is 25% of 200?

![](https://lh7-rt.googleusercontent.com/docsz/AD_4nXee-amKNaZ4vCoeA18DvjZjtOClk0unVHX7k-EHjFQguqtOc3TZzke4TyJuijrGpONcCwyGZqfYvzYDocr9JhnCHniBMZdwZGfbYmrTNCNUzN5iU3CY-zcAC1gVlMzMvkBeYfK21IxOKuaN6miFEuk?key=8PiCaxx6aGYcBydYSlrIlM_5)

1. 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 (%).

![](https://lh7-rt.googleusercontent.com/docsz/AD_4nXe-BGDhX9vALeP2lByIyl2uEmHq4UIO3k88sdIhzNks4L8GHjoBlmRtq_gJuPOr47DjFZhUrMsCfL3AfAR4ateODn1LI4rP6RBV6o_bDm6u_ZqaD9-A5AtdfHfTJk5meTTrk54W1PZG0FXu7yX3_Ok?key=8PiCaxx6aGYcBydYSlrIlM_5)

**Decimal to Percentage Conversion**

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

![](https://lh7-rt.googleusercontent.com/docsz/AD_4nXdFy05Rctm-n-sY2mlDfq6bXgv2FvDJaOqvzwDLcEJrYKWcym_Zeq5RgAng84R0QuFco3ogjF6Gp30AthjTpa4E0ME3ovNQpet1HFM_II2FjSAVHtdB6fQYEyMu7VZXE2fMW1_LJs0SaqNu4GEoLQ?key=8PiCaxx6aGYcBydYSlrIlM_5)

### 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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