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GMU ANALYTICAL · DEPTH AUDIT · DR090

Rule 2 Case 2a Filled Red (=) — Analytical Depth Audit (DR090)

DR090 pairs Rule 2 Case 2a Filled Red (=) (Continuing column row r >= 2 where reference cell (k-m, r) is occupied) with Analytical Modality (Depth Vector Verification): learners verify Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled, master Rule 2 Case 2a Populated Reference Cell returning Red (=), and eliminate checking completed column totals instead of cell occupancy at rows r and r-1.

Drill Reference ID
DR090
Big Road Streaks
9 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P P B B P B B B B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = = ≠ = = ≠ ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = = ≠ = ≠ = ≠ ≠ =

DR090 drill board (PPBBBPPPPBBPBBBBBBPPPBP): 9 Big Road columns, 20 Big Eye Boy, 17 Small Road, and 13 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · Mark #4

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road · Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig · Mark #4

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DR090 Target Coordinate
Rule 2 Case 2a Filled Red (=)

Continuing column row r >= 2 where reference cell (k-m, r) is occupied

DR090 Rule Classification
Analytical Depth Audit

Rule 2 Case 2a Populated Reference Cell returning Red (=)

DR090 Depth Comparison
9 Big Road Cols

Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled

DR090 Misconception Focus
Diagnostic Check

Checking completed column totals instead of cell occupancy at rows r and r-1

DR090 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Verify that the reference column is still occupied at current row r by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR090 · Coordinate & Rule Specification

DR090 Rule 2 Case 2a Filled Red (=): Analytical Depth Audit Walkthrough

Verification lab DR090 pairs Analytical Depth Audit with Rule 2 Case 2a Filled Red (=) so students test Continuing column row r >= 2 where reference cell (k-m, r) is occupied and answer: How does the depth vector [d_1..d_k] determine all three derived roads?

Scoreboard inspection DR090 (Rule 2 Case 2a Filled Red (=) · Analytical Depth Audit) shows: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Tracking 17 Small Road and 13 Cockroach Pig marks answers How does the depth vector [d_1..d_k] determine all three derived roads?

Table DR090: Rule 2 Case 2a Filled Red (=) specification under Analytical Depth Audit.
DR090 Drill DimensionCoordinate / RuleGMU Modality Action
DR090 Matrix CoordinateContinuing column row r >= 2 where reference cell (k-m, r) is occupiedAnalytical Modality (Depth Vector Verification)
DR090 Rule & DepthRule 2 Case 2a Populated Reference Cell returning Red (=)Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled
DR090 Diagnostic TargetChecking completed column totals instead of cell occupancy at rows r and r-1Verify that the reference column is still occupied at current row r
  • DR090 Step 1: Locate Continuing column row r >= 2 where reference cell (k-m, r) is occupied across the 9 columns of PPBBBPPPPBBP.
  • DR090 Step 2: Verify Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled under Rule 2 Case 2a Populated Reference Cell returning Red (=).
  • DR090 Step 3: Answer "How does the depth vector [d_1..d_k] determine all three derived roads?" via computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe.
DR090 · Analytical Modality (Depth Vector Verification)

DR090 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR090 states: This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). By computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe, learners master Rule 2 Case 2a Filled Red (=) and Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled over 9 columns.

Table Reality Check

Myth vs. Truth

MythIn DR090 (Rule 2 Case 2a Filled Red (=)), checking completed column totals instead of cell occupancy at rows r and r-1 or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Case 2a Populated Reference Cell returning Red (=) evaluates Reference column d_{k-m} >= r so both (k-m, r) and (k-m, r-1) are filled; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android