Gamified Mathematics Honors
Avon Lake City Schools
Curriculum Framework
Gamified Mathematics, Honors
Course Overview:
Gamified Mathematics is an honors level, one semester math elective. Through a heavy emphasis on project based learning, students take an introductory dive into game theory, number theory, probability, combinatorics and other math topics that come up. Students are challenged to engage in problem solving at their level within these topics.
Textbook (Title and Publishing Company):
No text - various supplementary materials provided by instructor
Assessments:
Students work on a series of projects, with a great deal of choice in the matter. They are encouraged to challenge themselves in a safe environment, where they will be pushed to think deeper and reach for a little more and at the same time, not be punished for their errors.
Standards/Learning Goals:
Subject to Pacing and Schedules
First Quarter
Perfect Information Games - Introduction to Game Theory
- Various Nim-style Games
- Positional games
Includes math topics that prove useful for solving these games
- Modular Arithmetic
- Different Based Number Systems
Students with an interest are encouraged to do some coding in their exploration of these topics and games
Second Quarter
Games of Chance
- Dice Games
- Card Games
- Other Probability-Based Games
Includes a moderate dive into related math topics
- Combinations and Permutations
- Probability
- Expected Value
Other Potential Topics (time permitting, student interest-guided)
- Games / Problems involving a fourth spatial dimension
- Using games (like Set) as a means of exploring higher dimensions
- Analysis of Calendar, day of week algorithms
- Other topics that students pull in
Last Updated: September, 2023