Raksha Bandhan — Class 3 Mathematics (CBSE)
From the current NCERT Maths Mela Grade 3 book, Chapter 7. Making rakhis and sharing sweets becomes a fun way to learn multiplication and division.
1. Why this chapter matters
When we have many equal groups, adding them one by one is slow. Multiplication is a quick way to add equal groups, and division is how we share things fairly. These ideas are used in shopping, cooking, and sharing every day.
2. Core ideas
Idea 1 — Multiplication is repeated addition
4 rakhis with 3 beads each → 3 + 3 + 3 + 3 = 12, written as 4 × 3 = 12.
Method 2 — Skip count to multiply
To find 5 × 2, skip count by 2s: 2, 4, 6, 8, 10.
Skill 3 — Division is equal sharing
12 sweets shared equally among 3 friends → 12 ÷ 3 = 4 sweets each.
3. Worked examples
Example 1: 5 plates, 2 pedas on each. How many pedas?
2 + 2 + 2 + 2 + 2 = 10, or 5 × 2 = 10 pedas.
Example 2: Skip count to find 3 × 4.
Count by 4s: 4, 8, 12. So 3 × 4 = 12.
Example 3: Share 15 kaju katlis equally among 5 people.
15 ÷ 5 = 3 each (because 5 × 3 = 15).
4. Activity corner
Make equal groups of beans (for example, 6 groups of 2). Then share a bigger group equally among your friends. Write:
- What I grouped (how many groups, how many in each)
- The multiplication or division sentence
- The maths idea (equal groups for multiply; equal shares for divide)
5. Common mistakes
- Mistake: Making groups that are not equal. Fix: Multiplication and division need equal groups or shares.
- Mistake: Writing 4 × 3 as 4 + 3. Fix: 4 × 3 means 3 + 3 + 3 + 3 (four 3s), not 4 + 3.
- Mistake: Leaving some left over when sharing equally. Fix: Share one to each, again and again, until they are equal.
6. How to write better answers
- Find the number of equal groups and how many are in each.
- Write a multiplication sentence (groups × in each).
- For sharing, write a division sentence (total ÷ groups).
- State the answer with the unit.
7. Practice set
- Write 2 + 2 + 2 as a multiplication.
- Find 4 × 3.
- Skip count by 5s up to 25.
- Share 18 laddoos equally among 3 plates. How many on each?
- There are 6 autos with 3 wheels each. How many wheels in all?
- Why must groups be equal in multiplication?
8. Answer key
- 2 + 2 + 2 = 3 × 2 = 6.
- 4 × 3 = 12.
- 5, 10, 15, 20, 25.
- 18 ÷ 3 = 6 laddoos on each plate.
- 6 × 3 = 18 wheels.
- Because multiplication adds equal groups; unequal groups would give a wrong total.
9. Quick revision
- Multiplication is repeated addition of equal groups (4 × 3 = 3 + 3 + 3 + 3 = 12).
- Skip count to multiply quickly.
- Division shares a total equally (12 ÷ 3 = 4 each).
- Groups and shares must be equal.
- Multiplication and division are linked: 5 × 3 = 15, so 15 ÷ 5 = 3.
