# Fair Share

## Overview
The chapter "Fair Share" introduces the foundational concept of fractions—specifically halves and quarters—through practical and visual activities. Students learn how to divide objects equally, identify halves and quarters, and understand their relationships using real-life examples like food sharing and marble games.

## Key Topics Covered

### 1. Sharing Equally
- Shabnam and Mukta discuss sharing a paratha and chocolates equally.
- Students are prompted to think about fairness and equality in sharing.
- **Concept Introduced**: Equal parts and strategies to check equality, such as folding.

### 2. Understanding Halves
- **Definition**: When one whole is divided equally into 2 parts, each is called a half.
- Activities include:
- Identifying if a paratha is equally divided.
- Colouring half a shape.
- Drawing a line to show halves in shapes.
- Using paper folding to explore halves with rectangles and squares.

### 3. Practice with Real-life Examples
- Shabnam eats chikki from 3 sides—students estimate how much is left.
- Activities include:
- Colouring half-eaten chikki.
- Completing pictures to show full items from halves.
- Using folding and drawing to show various ways of making halves.

### 4. Fair or Unfair Sharing
- A story about two brothers dividing a mango tree, lamp, and blanket.
- Students critically analyze whether the sharing is fair.
- Emphasis on logic and ethical reasoning in division.

### 5. Halves and Doubles
- Students compare numbers using concepts of half and double.
- Example questions:
- "4 is half of 8" and "8 is double of 4"
- Use of number line to visually understand concepts:
- E.g., "How far is 13 from the double of 7?"

### 6. Guess the Fraction
- Riddles to identify correct number based on clues involving halves and doubles.
- Helps students relate numerical comparisons to fractions.

### 7. Understanding Quarters
- **Definition**: When one whole is divided equally into 4 parts, each part is called a quarter.
- Activities:
- Identifying quarters visually.
- Drawing lines to divide shapes into quarters.
- Completing missing quarters to make a whole.

### 8. Halves vs Quarters
- Compare quantities using both fraction types.
- E.g., Shabnam coloured half the birds, Mukta coloured a quarter.
- Concept of **double** and **half** used again in comparing these.

### 9. Recognizing Fraction Shapes
- Colour shapes to represent specific fractions (1 quarter, 2 quarters, 3 quarters).
- Draw lines in shapes to show quarters and halves in different ways.
- Puzzle activities using fraction cards or shapes to form wholes.

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## New Terms

| Term | Definition |
|----------|------------|
| Half | One of two equal parts of a whole. |
| Quarter | One of four equal parts of a whole. |
| Double | Twice the amount of a number or quantity. |
| Fold | To bend something so that one part covers another. |
| Equal Share | Same amount given to each person or part. |
| Number Line | A straight line with numbers marked on it at equal intervals. |

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## Practice Problems

### Easy (3)

1. **What is half of 8?**
**Answer**: 4
**Explanation**: Half means dividing into 2 equal parts. 8 ÷ 2 = 4

2. **Colour half of a circle.**
*(Visual problem – students shade one half)*

3. **How many quarters make a whole?**
**Answer**: 4
**Explanation**: A whole divided into 4 equal parts gives 4 quarters.

### Medium (2)

4. **Draw a rectangle and divide it into 2 equal halves.**
*(Students use a vertical or horizontal line to show two equal parts)*

5. **I have 10 marbles. My friend has half as many. How many marbles does my friend have?**
**Answer**: 5
**Explanation**: 10 ÷ 2 = 5

### Difficult (3)

6. **Is this fair sharing? I get the tree, you get the fruit. I get the blanket in winter, you in summer.**
**Answer**: No
**Explanation**: Sharing the tree and fruit separately is unfair as they are connected. Blanket use should also depend on need, not just time.

7. **12 is double of what number?**
**Answer**: 6
**Explanation**: Double means ×2. 6 × 2 = 12

8. **A shape is divided into 4 parts. 3 parts are coloured. What fraction is coloured?**
**Answer**: 3 quarters or ¾
**Explanation**: 3 out of 4 equal parts are coloured.

### Very Difficult (2)

9. **On a number line, how far is 13 from double of 7?**
**Answer**: 1
**Explanation**: Double of 7 is 14. 14 - 13 = 1

10. **Peehu tied ¼ of her 16 flowers. How many flowers did she tie?**
**Answer**: 4
**Explanation**: ¼ × 16 = 4

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