S3U

Math / Checkers / Grade 4 / mh4c2

Checkers: Think One Turn Ahead

Compare legal choices by checking the opponent's immediate reply.

All worksheets

Watch the lesson | Checkers Club

5 questions0m 0s
Learn the skill

Legal and safe are different questions. First list your legal moves. For each, imagine the new board and check the opponent's captures. A move that avoids an immediate capture is safer for that reply, but it does not promise a win later.

Worked example

In a different position, red is on 8 and white on 16 and 31. Red can step to 11 or 12. Moving to 11 lets white jump 16 over 11 to 7. Moving to 12 leaves no board square beyond it for that white jump. In this one-reply comparison, 12 is safer.

Red man on 9, white men on 17 and 32. Red can step to 13 at the edge or 14 toward the middle; all other squares are empty.
Imagine each red move, then inspect the white reply. Do not stop at legal.

Compare Two Plans

For your problem, red is on 9 and white is on 17 and 32. All pieces are men and all other squares are empty. Red moves toward the top. Red can step to 13 or 14. After each imagined red step, white moves toward the bottom. Check for an empty square beyond red from white's direction.

Question 1 How many ordinary legal choices does red have before moving?
Question 2 If red chooses 14, where does white 17 land after capturing it?
Question 3 Which red destination avoids an immediate white capture in this position?
Question 4 Why is 9 to 14 a legal move even though it risks capture?
Question 5 Does choosing 13 prove that red will eventually win?