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Grade 6 “Somatic Data Science” unit

This grade level is the “sweet spot” because the Ontario curriculum introduces complex volume, surface area, and data sets, but the ND framework adds that “Somatic” layer—using the body’s movement and sensory input to process the math.

Here is the “Living Blueprint” for a 5-day unit focused on a “Scale Model Sustainable Smart-City.”

Unit Title: The Sovereign Smart-City Audit

Grade: 6 (Integrated Math, Science, and Social Studies)

Location: The Four-Hall Lab & Windows

Primary Tools: Interlocking Cubes, High-Visibility Window Markers, Hallway Floor Scales.

Day 1: The “Horizon Trace” (Spatial Sense & Perspective)

  • The Action: Students stand at the windows in Hall A and trace the city’s skyline or the school’s neighboring buildings.
  • The Math: Identifying parallel and perpendicular lines in architecture.
  • The ND Reframe: “Geometric Sovereignty”—students use the window as a 2D filter to simplify a complex 3D environment into a “Signal” they can understand.

Day 2: The “Coded Block Party” (Algebraic Relationships)

  • The Action: In the hallways, students use interlocking cubes to build the “Units” of their city.
  • The Math: Creating linear patterns. If 1 house uses 24 cubes, how many cubes for a “block” of 5 houses? Write the algebraic expression ($24n$).
  • The Somatic Check: Students use the Floor-Scale to physically walk out the length of their “city block” to feel the difference between $1m$ and $10m$.

Day 3: The “Sovereign Audit” (Financial Literacy & Ratios)

  • The Action: Every “cube” has a cost (e.g., $5.00$). Students “buy” materials for their model.
  • The Math: Calculating unit rates and percentages (e.g., “15% discount for bulk cube purchases”).
  • The Audit: Students use the Low-Level Whiteboards to display their “Systemic Audit” logs, ensuring no “financial noise” (unaccounted spending) exists.

Day 4: The “Sun & Shadow” Test (Data Literacy & Science)

  • The Action: Place the 3D cube models on the window sills. Trace the shadows cast at 9:00 AM, 12:00 PM, and 2:00 PM.
  • The Math: Measuring angles of rotation and shadow length. Plotting the Mean, Median, and Mode of shadow lengths across the four halls.
  • The ND Reframe: “Somatic Data Science”—the movement of the sun and the physical tracing of light turn data into a tangible, sensory experience.

Day 5: The “Grand Interlock” (Systemic Integration)

  • The Action: All four halls join their models at the Central Hub (The Crossroads) to create one giant “Sovereign City.”
  • The Math: Calculating the Total Volume and Surface Area of the combined city.
  • The Community Audit: Using the “Passerby Script,” visitors leave neon comments on the windows about the city’s efficiency and geometric precision.

How this aligns with the ND Ontario Framework:

  1. Reduced Demand: By moving into the hallway, students can self-regulate their “Body Breaks” using the Movement Menu we designed.
  2. High Resolution: Using painted floor scales and window traces replaces “guessing” with “visual proof.”
  3. Audit over Critique: The focus is on finding “Noise” (errors) in the system, which is a logic-based task rather than a social-based judgment.