Compare Fractions

• Compare 1/2, 1/4, 3/4 of the same whole using >, <, =.
• More equal parts → each part is smaller.
• Use drawings to compare before symbols.
• Apply to sharing and Math Mela fraction strips.

Level 1 — Core idea

Verbal: Half a pizza is more than a quarter of the same pizza.

Symbolic: 1/2 > 1/4; 3/4 > 1/2 when same whole.

Visual: Two identical bars: shade 1/2 on one, 1/4 on other — half bar has more shade.

Level 2 — Going deeper

Only compare fractions of the same whole. 1/2 of a big cake vs 1/4 of small cake — cannot compare without same size.

NCERT anchor

NCERT Math Mela, Class 3 — Chapter 10 uses fraction strips. Align strips of the same length to compare 1/2 and 1/4 visually.

Compare 1/2 and 1/4 of the same roti.

Step 1 — Same whole ✓
Step 2 — 1/2 = 2/4 in size
Step 3 — 2/4 > 1/4 → **1/2 > 1/4**

Compare 3/4 and 1/2.

Step 1 — 1/2 = 2/4
Step 2 — 3/4 vs 2/4 → three parts beat two
Answer: **3/4 > 1/2**

• 1/2 ___ 1/4 (fill >, <, =)
• Which is smallest: 1/4, 1/2, 3/4?
• Draw to show 3/4 > 1/2.
• Stretch: Order from smallest: 1/4, 1/2, 3/4.

Revision tip: Same whole, same shape — shade first, then compare.

Open the Practice tab for graded questions on Compare Fractions.

• Use the platform-native live simulation or PhET-style tool for this topic (number line, Venn, physics playground, molecule builder, sensor dashboard, etc.).
• Mirror / body / home activity: physically do the concept (count objects, measure, role-play) and photograph or describe for portfolio.
• Voice or text reflection with AI Mentor: explain the concept to a younger student or family member.

• "Explain this concept to a Class 6 student using one real example from an Indian home, school, market, or festival."
• "What is one common mistake students make here, and how would you catch yourself making it?"
• Stretch: "How does this connect to coding, robotics, money, health, environment, or a future career?"

• Complete the core practice + one extension activity (photo, table, short reflection, or mini-project) for base XP + topic badge.
• 5-7 day streak or family discussion note = multiplier + visible artifact in parent/principal dashboard.
• Best real-world application stories (anonymised) featured on class or national leaderboard.

• One hands-on project or measurement using the Drishti kit or household items that makes the concept physical.
• Direct link to at least one Future Skill track (Money Management, Green Tech, Cyber Defenders, Micro-Entrepreneurship, AI Mastery, Sustainable Living, Personality Development).
• Coding extension where relevant (simple script, simulation, or data logging).

This material emphasises experiential "learning by doing", competency (apply/create/analyse), vocational exposure, critical thinking, and multidisciplinary connections. Designed to feed live worlds, AI Mentor (with memory), gamification, robotics, parent analytics, and future skills — not just exam prep.

Portfolio Evidence Idea: Your photo/table/reflection/project + one sentence on "How this helps me in real life or a possible future path."

Open the Practice tab for aligned questions (easy/medium/hard + case-based) with full AI scaffolding.

See curriculum for cross-links and the full future-skills/robotics chapters.