"Triangle Treasure Hunt Challenge"

Week 1	Day 1	Day 2	Day 3	Day 4	Day 5
Activities	Project Launch & Introduction to Special Right Triangles - Introduce the project, discussing the essential questions and the role of special right triangles in spaceship design. Collaborate with the advanced geometry teacher to review key properties of 30-60-90 and 45-45-90 triangles. (40 min) Brainstorming & Concept Sketching - Students brainstorm ideas for their spaceship design, focusing on how to incorporate special right triangles into their structure. Create initial concept sketches and discuss with peers. (40 min)	Exploring Triangle Theorems - Students work in small groups to prove theorems about triangles, specifically focusing on congruence and similarity criteria. Apply these concepts to refine spaceship designs. (40 min) Design Workshop: Structural Integrity - Analyze how special right triangles can provide structural integrity to the spaceship. Students adjust their designs based on this analysis, ensuring stability and feasibility. (40 min)	Trigonometric Ratios & Real-World Applications - Dive into trigonometric ratios, using them to solve right triangles in applied problems. Explore how these calculations can influence spaceship design elements such as angles and lengths. (40 min) Peer Feedback Session - Present updated designs to peers for feedback, focusing on the application of geometric principles. Use feedback to refine designs and document insights in reflective journals. (40 min)	Parallel Lines and Transversals Workshop - Introduce parallel lines and transversals and their importance in geometric design. Apply these concepts to enhance the spaceship's layout and symmetry. (40 min) Design Refinement & Teacher Check-In - Refine spaceship designs based on previous feedback and newly learned concepts. Participate in a progress check with the teacher for additional guidance and validation. (40 min)	Model Building & Final Adjustments - Begin constructing a scale model of the spaceship, focusing on integrating special right triangles and ensuring all geometric principles are met. (40 min) Presentation Preparation - Develop a presentation to explain the design choices and demonstrate the application of geometric principles. Include reflections on problem-solving strategies and self-directed learning. (40 min)
Deliverables	1. Initial sketches and design concepts incorporating special right triangles. 2. Scale model of the spaceship demonstrating structural integrity and geometric principles. 3. Reflective journal documenting design process, problem-solving strategies, and feedback implementation. 4. Presentation detailing geometric applications and design choices. 5. Participation in peer review and exhibition preparation.
Preparation	1. Collect materials: graph paper, rulers, protractors, cardstock, foam board, scissors, adhesive, and markers. 2. Prepare a presentation on special right triangles, congruence, and similarity criteria. 3. Set up collaborative workspaces for team activities. 4. Provide access to geometry software or online tools for digital design exploration. 5. Arrange a schedule for feedback sessions with the advanced geometry teacher.

Activities

Project Launch & Introduction to Special Right Triangles - Introduce the project, discussing the essential questions and the role of special right triangles in spaceship design. Collaborate with the advanced geometry teacher to review key properties of 30-60-90 and 45-45-90 triangles. (40 min)

Brainstorming & Concept Sketching - Students brainstorm ideas for their spaceship design, focusing on how to incorporate special right triangles into their structure. Create initial concept sketches and discuss with peers. (40 min)

Exploring Triangle Theorems - Students work in small groups to prove theorems about triangles, specifically focusing on congruence and similarity criteria. Apply these concepts to refine spaceship designs. (40 min)

Design Workshop: Structural Integrity - Analyze how special right triangles can provide structural integrity to the spaceship. Students adjust their designs based on this analysis, ensuring stability and feasibility. (40 min)

Trigonometric Ratios & Real-World Applications - Dive into trigonometric ratios, using them to solve right triangles in applied problems. Explore how these calculations can influence spaceship design elements such as angles and lengths. (40 min)

Peer Feedback Session - Present updated designs to peers for feedback, focusing on the application of geometric principles. Use feedback to refine designs and document insights in reflective journals. (40 min)

Parallel Lines and Transversals Workshop - Introduce parallel lines and transversals and their importance in geometric design. Apply these concepts to enhance the spaceship's layout and symmetry. (40 min)

Design Refinement & Teacher Check-In - Refine spaceship designs based on previous feedback and newly learned concepts. Participate in a progress check with the teacher for additional guidance and validation. (40 min)

Model Building & Final Adjustments - Begin constructing a scale model of the spaceship, focusing on integrating special right triangles and ensuring all geometric principles are met. (40 min)

Presentation Preparation - Develop a presentation to explain the design choices and demonstrate the application of geometric principles. Include reflections on problem-solving strategies and self-directed learning. (40 min)

Deliverables

1. Initial sketches and design concepts incorporating special right triangles.
2. Scale model of the spaceship demonstrating structural integrity and geometric principles.
3. Reflective journal documenting design process, problem-solving strategies, and feedback implementation.
4. Presentation detailing geometric applications and design choices.
5. Participation in peer review and exhibition preparation.

Preparation

1. Collect materials: graph paper, rulers, protractors, cardstock, foam board, scissors, adhesive, and markers.
2. Prepare a presentation on special right triangles, congruence, and similarity criteria.
3. Set up collaborative workspaces for team activities.
4. Provide access to geometry software or online tools for digital design exploration.
5. Arrange a schedule for feedback sessions with the advanced geometry teacher.