Initial ideas
1. Context & Constraints
Grade Level: Mixed Middle School (Grades 6, 7, and 8).
Subject: Math Enrichment / Business Problem Solving.
Time Block: 30 minutes daily (5 days per week).
Duration: 3 weeks (15 sessions total).
Facilitator: This unit will be facilitated by a non-math specialist teacher. The lesson plans must emphasize guided inquiry, facilitation scripts, and student collaboration, requiring minimal direct math instruction from the teacher.
2. The Unit Challenge & Essential Questions
The Unit Hook: Students act as a "Brand Audit Agency." They select one iconic but "boring" or "outdated" brand (e.g., a standard yellow pencil, a plain stapler, a classic board game, or a local library). Their mission is to use mathematical reasoning, business logic, and Gemini image generation to completely rebrand and remarket it for a specific, modern target audience.
Essential Question 1: How can we use precise mathematical descriptors (scale, symmetry, geometry, materials) to communicate a creative business idea to an AI generator and an audience?
Essential Question 2: How do we use data (percentages, market analysis, budget allocation) to prove that a re-design is a viable and necessary business decision?
3. Primary Learning Objectives
By the end of this unit, students will be able to:
Objective A (Math/Logic): Analyze a product's current design and apply mathematical concepts (e.g., improving materials for durability, changing scale for accessibility, or optimizing geometry) to create a new iteration.
Objective B (Technology/Problem Solving): Execute the "Prompt Engineering Loop"—using Gemini to generate a prototype, identifying logical or visual errors, and refining the prompt language iteratively until the product aligns with business specs.
Objective C (Data/Strategic Reasoning): Create and interpret simple data visualizations (e.g., Bar Graph, Venn Diagram, or Percent-Based Budget Allocation) to support a strategic business case.
4. The 3-Week Cycle (Desired Output from Inkwire)
Please generate 15 detailed 30-minute lesson plans structured into this specific 3-week loop:
Week 1 (Theory & Pivot):
Activity: Brand Deconstruction, Audit, and selecting the "One Big Math Change" (e.g., a new material, optimized geometry, or integrated technology).
Focus: Critical thinking and strategic selection.
Week 2 (Technology & Prototype):
Activity: "Prompt Engineering" in Gemini. Students write descriptive, mathematical prompts focusing on texture, scale, and function. They must complete at least 3 iterations of their prototype image.
Focus: Precise language and iterative problem solving.
Week 3 (Data & Pitch):
Activity: Data Visualization (Venn Diagram comparing features, simple bar graph for pricing), Percentage-Based Marketing Budget Allocation (e.g., "$1,000 budget: 50% Social Media, 30% Packaging, 20% Influencer"), and Final Annotations to the Gemini image.
Focus: Statistical reasoning, communication, and financial literacy.
5. Special Requests for the Non-Math Facilitator
For every lesson, please include:
A 5-minute "Launch Script" (What the teacher should say to start the session).
3 specific "Probing Questions" (Questions the teacher can ask groups to deepen their thinking without giving the answers).
A clear "Deliverable" for the daily Strategy Log.
Ensure that the "Data visualization" (Week 3) uses basic, mixed-grade accessible concepts (percentages/graphs) rather than complex algebra.