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High School Grade  Project 6 weeks

Geometry Games: Quadratic Gamble Quest

Naomi L
CCSS.Math.Content.HSG-MG.A.3
CCSS.Math.Content.HSG-CO.D.13
CCSS.Math.Content.HSG-MG.A.3
Resource management
Making art
+ 1 more
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Purpose

The purpose of this project is to engage high school students in a dynamic exploration of mathematical concepts through the design and simulation of games. By integrating geometry and quadratic equations, students will develop strategic thinking and problem-solving skills, applying mathematical principles to real-world scenarios. This hands-on experience encourages collaboration, creativity, and critical analysis, allowing students to construct meaningful connections between math and game mechanics while meeting Common Core standards.

Learning goals

Students will develop strategic planning skills by applying geometric methods and quadratic equations to design and optimize game mechanics, ensuring fairness and engagement. They will enhance their artistic expression through creating visually appealing and mathematically sound board game prototypes. Additionally, students will refine their resource management abilities by organizing and documenting their project progress in digital portfolios, reflecting on their growth and challenges throughout the six-week experience.
Standards
  • [Common Core] CCSS.Math.Content.HSG-MG.A.3 - Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
  • [Common Core] CCSS.Math.Content.HSG-CO.D.13 - Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
  • [Common Core] CCSS.Math.Content.HSG-MG.A.3 - Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Competencies
  • Pursuing Goals - Resource management (LL.SM.2.a)
  • Artistic Expression - Making art (FK.AC.1.b)
  • Problem Solving - Strategic planning (OT.PS.2.d)

Products

Students will create a digital portfolio documenting their progress, including reflections on challenges and strategies. They will design and present a digital game simulation using geometry and quadratic equations, demonstrating their understanding of mathematical models. Additionally, students will build a physical board game prototype incorporating geometric shapes and quadratic-based scoring systems, showcasing their application of mathematical principles in a tangible form. These products will be shared during a virtual showcase, allowing students to demonstrate their learning and engage with peers and educators.

Launch

Begin the project with an interactive 'Game Theory Carnival,' where students rotate through various game stations that incorporate elements of probability, geometry, and quadratic equations. Each station will offer hands-on challenges, prompting students to critically engage with mathematical models in a playful context. Follow this with a 'Game Design Hackathon,' where students collaborate to brainstorm and prototype simple games, fostering creativity and teamwork while introducing them to the project's essential questions and assessment criteria.

Exhibition

Students will host a virtual showcase where they present their board game prototypes to peers, educators, and family members. During the exhibition, students will explain the geometric and quadratic principles integrated into their games, demonstrating their understanding through interactive demonstrations. Attendees will have the opportunity to play the games and provide feedback, fostering a collaborative environment that celebrates the students' creativity and mathematical application.