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New NCERT textbook · Class 4 Maths

Maths Mela, period by period — fitted to your timetable.

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Chapter 10 · Period 1 of 12 · 40 min

Playing NIM: Adding 1 or 2 to Reach Ten

Lesson

Watch for children who add randomly and never ask why certain numbers feel winning — push them to articulate: 'If I land here, what can my opponent do?' A common error is thinking 9 is a safe number; help the class see that from 9 the opponent must reach exactly 10 in one move of 1.

0–8Introduce NIM Game, p.149 ("Play the two-player NIM game: each player alternately chooses 1 or 2....") — Pairs play three or four rounds. The teacher circulates, asking players to say each running total aloud so the class hears the addition accumulating.
8–25Continue NIM Game, p.149 — After open play, guide children to ask: which running totals feel safe to land on? Introduce the idea of a 'safe number' — a total from which any opponent move leaves you in control.
25–40Can you win the game if (a)(b)(c), p.149 ("Can you win if: (a) opponent reached 6, (b) opponent reached 7....") — Pairs work through all three cases and share conclusions. The class discusses what pattern links the safe numbers.
Assessment

NIM Game, p.149 — Play the two-player NIM game: each player alternately chooses 1 or 2 to add to the running total; first to reach 10 wins. Play for a few rounds.

Priya and Dev are playing NIM. They take turns adding 1 or 2 to a running total. The first player to reach 10 wins. The total is now 7 and it is Priya's turn. What should Priya add to be sure she wins?

  • A Add 1 to make the total 8
  • B Add 2 to make the total 9
  • C Add 3 to make the total 10
  • D Either 1 or 2 — Priya wins whichever she picks

D. Either 1 or 2 — Priya wins whichever she picks

What each wrong option reveals

  • A The student thinks landing on 8 guarantees a win, not recognising Dev can add 2 to reach 10 immediately.
  • B The student thinks landing on 9 is safe, not recognising Dev can add 1 to reach 10 immediately.
  • C The student thinks adding 3 is allowed, misreading the rule that only 1 or 2 may be added per turn.
Chapter 10 · 12 periods of 40 min

Also saved as 7 periods or 10 periods.

  • 2NIM Extended, Then Patterns in the Addition Table
    Lesson
  • 3Window Frames: Row, Column, and Diagonal Sums
    Lesson
  • 4Reversing Digits: What Sums Do We Always Get?
    Lesson
  • 5Skip-Count Sequences, Then 4-Digit Addition Begins
    Lesson
  • 6Three-Addend Addition and Multi-Step Tiger Problems
    Lesson
  • 7Subtracting 4-Digit Numbers: Meghalaya Elephants
    Lesson
  • 8Kaziranga Visitors and Juice Factory: Multi-Step Problems
    Lesson
  • 9Column Drill and Baal Mela Deposit Slips
    Lesson
  • 10Column Form Consolidation: Four Pre-Set and Eight Notebook Problems
    Lesson
  • 11Easy Ways, Comparisons, and Derived Facts in Addition and Subtraction
    Lesson
  • 12From NIM to Number Sense: A Whole-Chapter Celebration
    Lesson

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