Day 7: Which Slice is Bigger? Preparatory Stage (Grades 3, 4 & 5) | Apex Institute of Maths and Sciences

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Day 7: Which Slice is Bigger? Preparatory Stage (Grades 3, 4 & 5) | Apex Institute of Maths and Sciences

Day 7: Which Slice is Bigger? 🍰📏

Preparatory Stage (Grades 3, 4 & 5) | Apex Institute of Maths and Sciences

🎯 1. Concept: Comparing Fractions

Welcome to Day 7! Today we learn how to compare fractions to see which one is bigger. We use two special symbols for this:

  • > (Greater Than): The open mouth points to the bigger number. (5 > 2).
  • < (Less Than): The pointed end aims at the smaller number. (2 < 5).

💡 2. The Two Rules of Comparing

Rule 1: Same Bottoms (Denominators)
If the bottoms are the same, the pieces are the exact same size. Just look at the top numbers! The bigger top number wins.
Example: 4/8 > 1/8. (4 slices are more than 1 slice).

Rule 2: Same Tops (Numerators) – THE TRICKY RULE!
If the tops are the same, you have the same *amount* of pieces. But look at the bottom number: The BIGGER the bottom number, the SMALLER the slice!
Example: 1/2 > 1/10. (If you share a pizza with 2 people, you get a huge slice. If you share it with 10 people, you get a tiny slice!)

🌍 3. Math in Our Daily Life

We use this tricky rule all the time without realizing it!

Scenario 1 (Running a Race): You run 1/2 of a kilometer. Your friend runs 1/4 of a kilometer. Because 2 is smaller than 4, your pieces are bigger! You ran further than your friend.

Scenario 2 (Sharing Cake): Would you rather have 1/3 of a chocolate cake, or 1/8 of a chocolate cake? 1/3 means the cake was only cut into 3 pieces. 1/8 means it was chopped into 8 tiny pieces. 1/3 is much bigger!

📝 4. Application Tasks

Grab your math journal and try these tasks today!

  • Task A: The Crocodile Mouth: Write down these pairs of fractions. Draw the Greater Than (>) or Less Than (<) sign between them!
    a) 2/5 and 4/5
    b) 1/3 and 1/6
  • Task B: The Paper Test: Take two identical strips of paper. Fold the first one into 2 equal pieces (halves). Fold the second one into 4 equal pieces (quarters). Hold 1/2 next to 1/4 and see which one is actually longer!

✅ 5. Day 7 Application Test

Let’s test your fraction logic! Watch out for the tricky Rule 2! Select your answers below and click submit.

Easy
1. Which fraction is LARGER: 1/5 or 4/5?
Solution: The pieces are the same size (fifths). 4 pieces is definitely more than 1 piece!
Easy
2. What does the math symbol “>” mean?
Solution: The wide, open side of the “>” symbol always faces the greater (bigger) number.
Easy
3. Which fraction is SMALLER: 2/7 or 6/7?
Solution: The pieces are the same size. 2 slices is fewer (smaller) than 6 slices.
Easy
4. If the bottom numbers (Denominators) are exactly the same, how do you know which fraction is bigger?
Solution: When denominators match, simply look at the top. Bigger number = bigger fraction.
Medium
5. Watch out for the tricky rule! Which fraction is LARGER: 1/2 or 1/10?
Solution: 1/2 means sharing with only 2 people. 1/10 means sharing with 10 people. 1/2 is a much bigger slice!
Medium
6. You cut one pizza into 3 pieces (Thirds) and an identical pizza into 8 pieces (Eighths). Which pieces are bigger?
Solution: The more pieces you chop a pizza into, the smaller the pieces get! Thirds are much bigger.
Medium
7. Compare 2/5 and 2/100. Which fraction is LARGER?
Solution: The tops are the same. Look at the bottom! 100 means tiny, microscopic pieces. 5 means big pieces. 2/5 is larger.
Medium
8. Finish this Golden Rule: When the top numbers are the same, the BIGGER the bottom number…
Solution: The bigger the bottom number, the more people you are sharing with, which means the SMALLER the slice is!
Hard
9. 🧠 Logic Puzzle: You eat 2/4 of a pizza. Your friend eats 1/2 of the exact same pizza. Who ate MORE?
Solution: This is a trick question using Equivalent Fractions! 2 is exactly half of 4. Therefore, 2/4 is the exact same amount as 1/2.
Hard
10. 🧠 Word Puzzle: John drank 3/4 of a bottle of water. Sarah drank 3/5 of a same-sized bottle of water. Who drank MORE water?
Solution: The numerators are the same (3). Look at the denominators: Fourths (4) are bigger slices than Fifths (5). Since John had 3 of the BIGGER slices, John drank more!
⚠️ Please answer all 10 questions before submitting!
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15 thoughts on “Day 7: Which Slice is Bigger? Preparatory Stage (Grades 3, 4 & 5) | Apex Institute of Maths and Sciences”

  6. K.Rushika5thclass
    Easy pisy questions about math and so much interest to learn in summer ⛱️⛱️🌞🌞

    Reply

  7. Rushika class 5
    So much interest to learn math in this hot summer ⛱️⛱️⛱️⛱️⛱️⛱️🌞🌞🌞🌞🌞 days

    Reply

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