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Grouping and Sharing – Class 2 Maths Chapter 8 Notes & NCERT PDF

Class 2MathematicsChapter 8NCERT book: Joyful Mathematics - Class 2

Notes and a simple summary of Chapter 8 of the NCERT Class 2 Mathematics book, with the official chapter PDF, flashcards, an MCQ quiz and an AI tutor for your doubts.

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Chapter 8: Grouping and Sharing

Introduction

Grouping and Sharing introduces two big ideas: multiplication (adding equal groups) and division (sharing equally or making equal groups). It starts on a road: a child counts the wheels of bicycles and autorickshaws by adding, but misses the cars. Ramya shows a faster way — "There were 7 cars and each car had 4 wheels, so the total number of wheels is 7 times 4, means 28."

What's in this Chapter

  • Wheels on the road: 4 bicycles × 2 wheels: 2 + 2 + 2 + 2 = 8, so 4 × 2 = 8 ("4 groups of 2 give 8"). 2 autorickshaws × 3 wheels: 2 × 3 = 6. 7 cars × 4 wheels = 28. The sign × is read as "times".
  • Let us Do: wings of butterflies (3 × 2 = 6), legs of octopuses (2 × 8 = 16), soldiers in lines (4 × 10 = 40).
  • Complete the Table and Match the Following: 3 + 3 + 3 + 3 = 4 times 3 = 4 × 3 = 12; 9 + 9 + 9 = 3 × 9 = 27; 7 fives are 35; 4 groups of 10 = 40.
  • Tables of 2, 3, 5 and 10: "2 ones are 2, 2 twos are 4 …".
  • How Many? 4 bouquets of 3 flowers and 3 bouquets of 4 flowers both use 12 flowers — 4 × 3 = 3 × 4. The same is tested with 4 × 5 and 5 × 4, 6 × 4 and 4 × 6.
  • Word problems: 8 packets of 5 bindis (40), 4 buttons on each of 7 shirts (28), 6 pencils at ₹4 each (₹24), 5 people in each of 8 cars (40).
  • Making tables: Rudra makes the table of 4 by adding the table of 2 to itself; the table of 6 from two tables of 3; the table of 7 from the tables of 3 and 4; the table of 8 from the tables of 2 and 6.
  • Project Work: arrange 24 objects in different arrays (like 3 groups of 8, 4 groups of 6) and write multiplication facts.
  • Let us Share: a brother and sister share gulab jamuns one by one — "1 for you, 1 for me" — until each has 4. Ritu puts 12 bindis equally on 2 ice-cream cones (6 each); Pooja divides laddoos equally in 3 plates.
  • How Many Groups? Garima has 20 star beads and uses 5 for each bracelet: she can make 4 bracelets.
  • Let us Make: 21 beads, 7 on each string → 3 strings; 54 flowers, 9 in each bracelet → 6; 25 roses, 5 in a vase → 5 vases; 27 candles in 3 boxes → 9 each; 30 buttons, 6 on a shirt → 5 shirts; 24 bananas among 3 monkeys → 8 each.

    • Key Ideas

  • Multiplication is repeated addition of equal groups.
  • "4 × 3" means 4 groups of 3.
  • Changing the order does not change the answer: 4 × 3 = 3 × 4.
  • Division means sharing equally or making equal groups.
  • New tables can be made by adding known tables (3 + 4 gives 7).

    • Activities from the Book

  • Counting wheels, wings and legs.
  • Arranging 24 objects in arrays.
  • Sharing gulab jamuns, bindis and laddoos equally.
  • Making bracelets with beads.

    • Words to Learn

  • Group (समूह)
  • Times (गुना) and × (गुणा का चिह्न)
  • Equal (बराबर)
  • Share (बाँटना)
  • Table (पहाड़ा)
  • Each (प्रत्येक)
  • Array (पंक्तियों में व्यवस्था)
  • Bouquet (गुलदस्ता)

    • Tips for Parents & Teachers

  • Count shoes in pairs, wheels on vehicles and legs of animals as equal groups.
  • Let children share snacks equally among family members.
  • Use buttons or bottle caps to show 4 × 6 and 6 × 4 as rows and columns.
  • Discuss traffic rules when talking about vehicles, as the book suggests.

    • Common Mistakes

  • Adding the two numbers instead of multiplying (writing 4 × 2 = 6).
  • Sharing unequally — giving one person extra.
  • Thinking 3 × 4 and 4 × 3 give different totals.

    • 💡 Key Learning Points

    • ✓Understand multiplication as repeated addition of equal groups.
    • ✓Read and write multiplication sentences using ×, e.g. 4 × 2 = 8.
    • ✓Build the tables of 2, 3, 5 and 10 and make new tables by adding known ones.
    • ✓Know that 4 × 3 = 3 × 4 (order does not change the product).
    • ✓Share objects equally and find how many equal groups can be made.

    👨‍🏫 Teaching Tips

    • →Discuss the importance of traffic rules while counting wheels of vehicles.
    • →Use real objects (bangles, buttons, pebbles) to make equal groups.
    • →Ask children to write each situation three ways: repeated addition, 'times' and ×.
    • →Let children test 4 × 3 = 3 × 4 with bouquets or rows of objects.
    • →Do the 24-object array project and list all the facts found.
    • →Act out sharing gulab jamuns one by one to show fair sharing.
    • →Let children make bead bracelets to find how many groups of 5 are in 20.

    📋 Assessment Questions

    1. Can the child write 5 + 5 + 5 as 3 × 5 = 15?
    2. Can the child say the tables of 2, 5 and 10?
    3. Can the child solve 'Rita bought 6 pencils at ₹4 each'?
    4. Can the child share 24 bananas equally among 3 monkeys?
    5. Can the child explain why 4 × 6 and 6 × 4 give the same answer?

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    Keep learning

    All chapters in Joyful Mathematics - Class 2

    1. 1. A Day at the Beach
    2. 2. Shapes Around Us
    3. 3. Fun with Numbers
    4. 4. Shadow Story
    5. 5. Playing with Lines
    6. 6. Decoration for Festival
    7. 7. Rani's Gift
    8. 8. Grouping and Sharing
    9. 9. Which Season is it?
    10. 10. Fun at the Fair
    11. 11. Data Handling