activity 2
Investigation - Write answers in notebook
An ordinary chessboard is an 8 X 8 board consisting of 64 small squares, each of side length 1 unit. There are also many other squares of different side lengths within it.
An ordinary chessboard is an 8 X 8 board consisting of 64 small squares, each of side length 1 unit. There are also many other squares of different side lengths within it.
1. Calculate the total number of squares within a 2 X 2 board.
2. Calculate the total number of squares within a 3 X 3 board.
3. Look at 4 X 4 and 5 X 5 boards and find a pattern to help you predict the total number of squares in an ordinary chessboard.
4. Extend your rule to find the total number of squares to be found in an n X n board.
5. Investigate the total number of squares to be found in an m X n rectangular board.
5. Investigate the total number of squares to be found in an m X n rectangular board.