S3U
All video lessons

Math / Grade 4

Checkers: think one reply ahead

Compare legal moves, inspect the opponent's reply and plan around king promotion.

Next: your worksheet

Checkers: Think One Turn Ahead

Continue to worksheet
Not started 0s active

Checking sign-in...

Read the transcript

Legal is only the first question

Red has a man on nine. White has men on seventeen and thirty two. All other squares are empty. Red can legally step to thirteen or fourteen. Before choosing, imagine the board after each move. Then ask what white can do. That extra question is the start of planning.

Try the risky choice in your mind

Imagine red moving to fourteen. White seventeen now has red next to it on a forward diagonal, with empty ten beyond. White must capture from seventeen to ten. Red made a legal move, but it put the piece where white could jump it. Legal did not mean safe.

Compare the other choice

Now imagine red on thirteen instead. White seventeen is next to it, but the space beyond would be outside the board. No landing square means no jump. Thirteen avoids an immediate capture in this position. We have checked one reply, not proved that red will win the whole game.

Pause: a fresh comparison

Try a new position. Red is on eight. White is on sixteen and thirty one. Every other square is empty. Red can step to eleven or twelve. Pause and imagine both moves. Which one lets white capture immediately? Which avoids a capture on that next reply? Check the landing beyond red.

Check your one-reply plan

Moving red to eleven allows white sixteen to jump over it to seven. Moving red to twelve leaves no board square beyond red for that jump. Twelve is safer for this reply. Do not turn this example into a rule that edge squares are always safe. Different positions can give different answers.

A crown changes what comes next

Here is a different planning problem. Red is a man on twenty two, with white on twenty six and twenty seven. Red must jump over twenty six to thirty one, the far king row. That landing promotes red to a king. The game marks kings with the letter K.

Crown and stop

Stop at thirty one and give white a turn. A newly crowned king cannot immediately jump backward in the same turn. On a later turn, kings can step or jump diagonally backward as well as forward. A crown is useful, but it does not come with rocket boots or sideways moves.

Look at moves, not just totals

Counting pieces helps, but it is not the whole game. A player loses when they have no legal move on their turn, even if some pieces remain blocked on the board. In this practice game, repeated positions and a long sequence of quiet king moves can also produce a draw.

A useful limit to your proof

Fun fact: showing that a move avoids one immediate capture does not show what will happen after every later move. A good explanation can be useful without claiming too much. Say exactly what you checked: in this position, white has no capture on the next turn.

Make a plan you can explain

Continue to the worksheet below to compare two plans. Then try Kings: Crown and Stop. In Checkers Club, pause before your move and describe the opponent's possible reply. After the game, replay a turn and explain one choice you would keep or change. Thinking again is part of learning.