Nickel, Quarter, and Dime
Main Subject Area: Mathematics
Duration of Lesson: 45 minutes
Additional Subject Area Standard(s):
They will construct, read and interpret a graph.
They will then make inferences and a convincing argument based on data analysis.
Coins Used in Lesson:
Grade Level(s): 6-8
Each player has a nickel, a quarter and a dime. On the count of three, the player places one of the three coins on the table. A quarter wins over a dime, a dime wins over a nickel, a nickel wins over a quarter.
2. Divide the class into pairs (Player A and Player B) and have each pair play the game 18 times.
3. Instruct each pair to construct a bar graph that shows the number of wins each player had.
4. Help students determine range, mode and mean for their set of data. Compare the results as a class.
5. Have students answer the following questions to determine if the game is fair:
- How many outcomes does game have? (9)
- Make a tree diagram of the possible outcomes (a win for A, for B or a tie).
- Count the wins for A. (3)
- Find probability A will win in any round (3/9=1/3) Explain what probability means (favorable outcomes/ possible outcomes).
- Count wins for B (3) - Find probability B will win in any round (3/9) - Is game fair? Do both players have an equal probability of winning in any round? (yes)
6. Students can write a paragraph explaining why or why not the game Nickel, Quarter, Dime is a fair game.
Assessment / Evaluation:
Differentiated Learning Options: