Day 5: The Magic of Equal Shares 🍕
Preparatory Stage (Grades 3, 4 & 5) | Apex Institute of Maths and Sciences
🎯 1. Concept: Equivalent Fractions
Welcome to Day 5! Yesterday we learned that a fraction shows a part of a whole. But did you know that fractions can wear disguises? Sometimes, two fractions have completely different numbers, but they mean the exact same amount!
These are called Equivalent Fractions. (“Equivalent” is just a fancy math word for “Equal in value”).
💡 2. The Pizza Rule
Imagine you have two identical pizzas.
- Pizza A is cut into 2 big slices. You eat 1 slice. You ate 1/2 of the pizza.
- Pizza B is cut into 4 smaller slices. You eat 2 slices. You ate 2/4 of the pizza.
If you look at both pizzas, your stomach is exactly the same amount of full! Therefore, 1/2 = 2/4.
The Golden Math Rule: To find an equivalent fraction, whatever you multiply (or divide) the top number by, you MUST do the exact same thing to the bottom number!
Example: Multiply the top and bottom of 1/3 by 2. You get 2/6. They are equivalent!
🌍 3. Math in Our Daily Life
We use equivalent fractions when we measure things in the real world.
Scenario 1 (Money): 50 paise is 1/2 of a Rupee. But if you have 5 ten-paise coins, you have 5/10 of a Rupee. 1/2 and 5/10 are the exact same amount of money!
Scenario 2 (Cooking): A recipe asks for 1/2 a cup of milk, but you only have a 1/4 measuring cup. You can just fill the smaller cup twice! (1/4 + 1/4 = 2/4). 2/4 is exactly the same as 1/2.
📝 4. Home Practice Tasks
Students, try proving equivalent fractions at home today!
- Task A: The Paper Fold Proof: Take a square piece of paper. Fold it in half and color one side (1/2). Now, fold it in half again. Unfold it. You will see that your colored part is now 2 blocks out of 4 total blocks (2/4). You proved they are equal!
- Task B: Find the Disguise: Write down the fraction 1/4. Multiply the top and bottom by 3. What is the new disguised fraction? (Hint: it should be out of 12).
✅ 5. Day 5 Application Test
Let’s test your fraction logic! The questions will get harder as you go. Select your answers below and click submit.
