Virtual City Tour & Brainstorming - Participate in a virtual tour of a city known for its innovative urban design. Identify and discuss environmental threats and urban challenges in small groups. (25 min)

Sketch Initial City Design - Begin sketching preliminary designs for a city layout that addresses identified challenges, fostering collaboration and creativity. (20 min)

Introduction to Geometric Transformations - Learn basic concepts of rotations, reflections, and translations through interactive activities and geometry software. (25 min)

Applying Transformations to City Designs - Use learned geometric transformations to refine initial city sketches, focusing on optimizing infrastructure for safety and accessibility. (20 min)

Group Discussion on Transformation Functions - Discuss with peers how transformations can be described as functions, taking points in the plane as inputs and producing outputs. (20 min)

Refining City Blueprints - Work collaboratively to apply transformation functions to city designs, comparing transformations that preserve distance and angle versus those that do not. (25 min)

Exploring Rigid Motions & Congruence - Experiment with rigid motions to predict effects on figures. Decide if transformed city elements are congruent. (20 min)

Peer Feedback Session - Present refined city designs to peers for feedback, focusing on geometric transformations and their impact on city safety and sustainability. (25 min)

Exploring Similarity Transformations - Investigate the properties of similarity transformations and how they can be applied to enhance city layout designs. (20 min)

Applying Similarity Transformations to City Elements - Use graph paper or geometry software to apply similarity transformations to specific city elements, ensuring proportionality and angle equality. (25 min)

Design Critique Session - Present updated city designs focusing on similarity transformations to peers for constructive feedback. Use insights to refine designs. (25 min)

Collaborative Problem Solving - Work in groups to address feedback, focusing on optimizing city infrastructure for environmental threat mitigation using geometric transformations. (20 min)

Developing Rotations and Reflections - Learn about rotations and reflections through real-life urban design examples. Identify opportunities to apply these in city layouts. (20 min)

Implementing Rotations and Reflections in City Designs - Practice implementing these transformations on select city elements, ensuring functionality and aesthetic appeal. (25 min)

Blueprint Refinement - Integrate insights from community partners to refine city blueprints, focusing on minimizing costs and maximizing safety and accessibility. (25 min)

Refinement of City Blueprint - Collaborate in small groups to critically evaluate and refine city blueprints based on peer and mentor feedback. Focus on optimizing geometric transformations for city safety and accessibility. (25 min)

Mathematical Processes Documentation - Begin drafting the written report focusing on the mathematical processes and transformations applied. Outline key sections and assign responsibilities within groups. (20 min)

Draft Written Report Review - Conduct peer reviews of initial drafts of the written report. Provide constructive feedback on clarity and accuracy of mathematical processes and design rationale. (20 min)

Interactive Transformation Workshop - Engage in hands-on activities using geometry software to visualize transformations in city designs. Test and troubleshoot digital simulations or models of city infrastructure. (25 min)

Final Presentation Rehearsal - Practice presenting city designs and written reports in front of peers. Focus on communication skills and clarity of design rationale. Incorporate peer feedback for improvement. (25 min)

Reflection Journal Update - Reflect on the learning journey, documenting personal challenges, breakthroughs in applying transformations, and socio-emotional growth in the reflection journal. (20 min)

Gallery Walk Exhibition Preparation - Finalize presentation materials and set up exhibition space for the gallery walk. Ensure all visual aids and digital simulations are operational. (20 min)

Exhibition Presentation & Feedback - Present city designs during a gallery walk to peers, parents, and community members. Engage in dialogue and receive feedback on design choices and mathematical concepts employed. (25 min)