Playing and analyzing the game Back & Forth, write suitable responds. Playing this game with a partner and playing against each other. Like many games, it uses integers to determine how players move. So to analyze this game, we need to understand its integers. Analyze the game and report the findings to the game maker by two people then inform if the game is fair, the strategies if we can figure out to win the game without using number lines, if the object of the game was to end farthest from 0, how would that change the winning strategies, and what are two ways we would change the game to make it challenging and fun to play?
To analyze the game Back & Forth, we need to first understand the game's rules and integers. In this game, players alternate turns, and each turn consists of rolling a six-sided die and moving forward or backward by the number of spaces indicated on the die. The object of the game is to be the first player to reach a designated ending point, typically either the final space on the playing board or a certain numerical value.
After playing the game and analyzing its integers, we have found that the game is fair as there is an equal chance for each player to roll any number on the die. However, the game does heavily rely on chance, as players have limited control over the numbers they roll.
While we could not identify any clear winning strategies that do not involve using number lines, we did find several potential tactics, such as avoiding moving too far forward or backward in one turn to prevent overshooting or undershooting the final space.
If the object of the game was to end farthest from 0, the winning strategies would change, as players would want to move past the final space and continue moving forward or backward to end up as far from 0 as possible.
To make the game more challenging and fun, we recommend adding additional dice, such as two or three dice to increase the range of numbers. We also suggest adding obstacles, such as spaces that force players to skip a turn or move backward, to add an element of strategy and excitement to the game.