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Algebra Game Design
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Algebra Game Design
Explore how algebra can describe movement and scoring in a game. Show your working where asked. For design questions, answers will vary; use the sample answers as models.
Game rules and algebra
Read each question carefully and choose the best answer or select every answer that applies.
1.A player rolls a die before moving. The board-game rule for the number of spaces moved is 3r + 1. What does r represent?
- The number rolled on the die
- The player's total score
- The number of players
2.A player rolls 5. Using the movement rule 3r + 1, how many spaces do they move?
- 16 spaces
- 15 spaces
- 11 spaces
3.Select every linear expression that could describe a simple game score.
- 4a − 3
- a² + 2
- 9 + 2b
- c × c
4.In a game plan, which element states the condition players must meet to win?
- The objective
- The feedback
- The colour scheme
Calculate and explain
Use algebra to describe how the rules of a game work.
5.In one sentence, explain how increasing the value of a variable in a game's rule could affect a player's choices.
6.Write a linear scoring rule using one variable, then state what the variable represents. For example, your variable could stand for tokens collected.
7.A player's score is calculated using S = 2p − 3. Find S when p = 8. Show your substitution and calculation.
8.Write one thing you understand about using algebra in games, and one algebra-based game idea you would like to explore.
Design a game feature
Plan a simple game feature that uses a variable in its rule.
9.Sketch a small board or game tile. Label one place where a variable affects movement, resources or score. Then write a rule using a letter, and explain what that letter stands for.
2 printable pages
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Page 2
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