# The Fish Tale

## Overview

In this chapter, students learn about the lives of fishermen and the underwater world through real-life contexts. The chapter integrates mathematical concepts such as:

* Shapes and visual estimation
* Length and weight
* Speed and distance
* Simple arithmetic operations
* Large numbers
* Money and profit
* Loan repayment and budgeting

It aims to build mathematical understanding while appreciating the culture and livelihood of fishing communities.

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## Key Topics Covered

### 1. Fish Shapes and Creativity

* **Activity**: Drawing fish using basic geometric shapes like squares and triangles.
* **Haiku Introduction**: Short poems about nature, especially fish and the sea.
* **Size Comparison**: Understanding units of length through real-life examples like smallest fish (1 cm) vs. whale shark (18 m).
* **Concepts**:

* Estimation
* Comparison of lengths (e.g., "How many times bigger?")
* Real-world weight (e.g., 16000 kg whale shark)

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### 2. Boats and Distance

* **Types of Boats**: Log boat, oar boat, long tail boat, motor boat, big machine boats (trawlers).
* **Speed Calculations**:

* Log boat: 4 km/hr
* Motor boat: 20 km/hr
* **Estimation Exercises**:

* Time taken to cover certain distances
* How far a boat can travel in given time

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### 3. Fish Catch and Fairness

* **Catch per Trip**:

* Log boat: 20 kg
* Long tail boat: 600 kg
* Motor boat: 800 kg
* Machine boat: 6000 kg
* **Sustainability Issue**:

* Trawlers catch baby fish and reduce the fish population
* Traditional methods allow baby fish to escape
* **Practice Problems**:

* Total fish caught in multiple trips
* Travel time and distance problems

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### 4. Understanding Big Numbers

* **Terms Introduced**: Thousand, Lakh (1,00,000), Crore (1,00,00,000)
* **Application**:

* Number of boats in India: 2 lakh
* Motorized vs. non-motorized boats
* Fishworker population: 100 lakh
* One-fourth of boats are machine boats

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### 5. The Fish Market

* **Price and Profit Calculations**:

* Sardines: ₹40/kg
* Sword-fish: ₹60/kg
* Prawns: ₹150/kg
* Squid: ₹50/kg
* Kingfish: ₹1200 for 8 kg
* **Problem-solving**:

* Price per kg
* Income based on weight sold
* Using fractions (¼, ¾) to calculate expenses

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### 6. Women’s Meenkar Bank and Loans

* **Savings Model**:

* 20 women save ₹25/month
* Total monthly savings = ₹500
* 10-year savings = ₹60,000
* **Loan and Repayment**:

* Loan taken with monthly installments
* Total repayment with interest calculated

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### 7. Starting a Fish-Drying Factory

* **Budgeting Exercise**:

* List of items and prices
* Total setup cost
* **Profit Estimation**:

* 6000 kg fresh fish dried per month
* 6 kg fresh fish = 2 kg dried fish
* Buying price = ₹15/kg, Selling price = ₹70/kg
* **Monthly Profit Calculation**:

* Subtracting costs (salt, packing, transport)
* Estimated monthly profit = ₹44,000


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## New Terms and Definitions (Simple English)

| Term | Definition |
| ----------- | ---------------------------------------------------------------- |
| Haiku | A short Japanese poem about nature with three lines |
| Whale shark | The biggest fish in the sea, very heavy but harmless |
| Estimation | A smart guess of number, size, or amount |
| Log boat | A simple boat made from wood logs |
| Trawler | A big machine boat used to catch lots of fish far from the coast |
| Speed | How fast something moves, e.g., km per hour |
| Distance | How far something travels, e.g., in kilometers |
| Lakh | A number equal to 1,00,000 |
| Crore | A number equal to 1,00,00,000 |
| Loan | Money borrowed that has to be paid back with interest |
| Interest | Extra money paid along with the loan amount |
| Profit | Money earned after removing all costs |

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## Practice Questions

### Easy (3)

1. **What is the weight of the whale shark?**
→ **16000 kg**

2. **A log boat travels 4 km in 1 hour. How far will it go in 2 hours?**
→ **4 × 2 = 8 km**

3. **If 20 fisherwomen save ₹25 each, how much money is saved in a month?**
→ **20 × ₹25 = ₹500**

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### Medium (2)

4. **A motor boat travels at 20 km/hr. How far will it go in 3.5 hours?**
→ **20 × 3.5 = 70 km**

5. **A fisherwoman sells 10 kg prawns at ₹150/kg. How much did she earn?**
→ **10 × ₹150 = ₹1500**

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### Difficult (3)

6. **Gracy took a ₹4000 loan and paid ₹345/month for 12 months. What did she repay in total?**
→ ₹345 × 12 = **₹4140**

7. **Mini earns the same money as Gracy who sold 6 kg sword-fish at ₹60/kg. How many kg of sardines at ₹40/kg did Mini sell?**
→ 6 × ₹60 = ₹360;
₹360 ÷ ₹40 = **9 kg**

8. **A long tail boat (speed 12 km/hr) travels 60 km. How much time does it take?**
→ 60 ÷ 12 = **5 hours**

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### Very Difficult (2)

9. **In a month, 6000 kg of fresh fish are dried. If 6 kg fresh fish gives 2 kg dried fish, how much dried fish is made in a month?**
→ (6000 ÷ 6) × 2 = 1000 × 2 = **2000 kg**

10. **Selling 2 kg dried fish at ₹70/kg and buying 6 kg fresh fish at ₹15/kg. What is the profit?**

* Cost = 6 × ₹15 = ₹90
* Selling price = 2 × ₹70 = ₹140
* **Profit = ₹140 - ₹90 = ₹50**

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