Mathematics through the chessboard: coordinates and parity, piece values, covering and non-attacking placements, lines and tours, winning strategies for two-player games, tiling, counting, and growth. Each card teaches one idea, then checks it with a question or a hands-on board. Built from the CHAMPS Chess and Mathematics curriculum.
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Naming squares as ordered pairs and reading colour from parity.
Piece values as numbers and how many squares each piece controls.
Attack all squares with few pieces, or place many that never clash.
Straight lines and slope: keeping counters off any common line.
Shortest paths, tours that visit every square, and counting routes.
Two-player games decided by parity, symmetry, and safe positions.
- A first winning-strategy game Card
- Kings and the opposition Card
- Wythoff's queen race Card
- Race to the corner with a rook Card
- Chomp and strategy stealing Card
- Wythoff's game with two queens Card
- The subtraction game Card
- Nim and the nim-sum Card
- The golden coin game Card
- Northcott's game is Nim in disguise Card
- Sliding rooks and representation Card
Cover and cut the board with dominoes, trominoes, and equal parts.
How many squares and rectangles hide inside the 8x8 board.
Pigeonhole, deduction from clues, and reading data into rules.
Random walks, doubling growth, and generalising the knight.