Activity 2 : A game for two persons (Requirements: two counters or coins, graph paper, two dice of different colours, say red and green):
Place each counter at (0, 0). Each player throws two dice simultaneously. When the first player does so, suppose the red die shows 3 and the green one shows 1. So, she moves her counter to (3, 1).
Similarly, if the second player throws 2 on the red and 4 on the green, she moves her counter to (2, 4). On the second throw, if the first player throws 1 on the red and 4 on the green, she moves her counter from (3, 1) to (3 + 1, 1 + 4), that is, adding 1 to the x - coordinate and 4 to the y - coordinate of (3, 1).
The purpose of the game is to arrive first at (10, 10) without overshooting, i.e., neither the abscissa nor the ordinate can be greater than 10.
Also, a counter should not coincide with the position held by another counter. For example, if the first player’s counter moves on to a point already occupied by the counter of the second player, then the second player’s counter goes to (0, 0).
If a move is not possible without overshooting, the player misses that turn. You can extend this game to play with more friends.
`"Remark :"` Plotting of points in the Cartesian plane can be compared to some extent with drawing of graphs in different situations such as Time-
Distance Graph, Side- Perimeter Graph, etc which you have come across in earlier classes. In such situations, we may call the axes, t-axis, d-axis, s-axis or p-axis, etc. in place of the x and y axes.
Activity 2 : A game for two persons (Requirements: two counters or coins, graph paper, two dice of different colours, say red and green):
Place each counter at (0, 0). Each player throws two dice simultaneously. When the first player does so, suppose the red die shows 3 and the green one shows 1. So, she moves her counter to (3, 1).
Similarly, if the second player throws 2 on the red and 4 on the green, she moves her counter to (2, 4). On the second throw, if the first player throws 1 on the red and 4 on the green, she moves her counter from (3, 1) to (3 + 1, 1 + 4), that is, adding 1 to the x - coordinate and 4 to the y - coordinate of (3, 1).
The purpose of the game is to arrive first at (10, 10) without overshooting, i.e., neither the abscissa nor the ordinate can be greater than 10.
Also, a counter should not coincide with the position held by another counter. For example, if the first player’s counter moves on to a point already occupied by the counter of the second player, then the second player’s counter goes to (0, 0).
If a move is not possible without overshooting, the player misses that turn. You can extend this game to play with more friends.
`"Remark :"` Plotting of points in the Cartesian plane can be compared to some extent with drawing of graphs in different situations such as Time-
Distance Graph, Side- Perimeter Graph, etc which you have come across in earlier classes. In such situations, we may call the axes, t-axis, d-axis, s-axis or p-axis, etc. in place of the x and y axes.