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GMU QUESTION-DRIVEN · TRIAGE · DR058

Cockroach Pig (c5,r1) Switch — Question-Driven Error Audit (DR058)

DR058 pairs Cockroach Pig (c5,r1) Switch (Big Road col 5 row 1 comparing col 4 vs col 1) with Question-Driven Modality (Self-Test Triage): learners verify Completed depth d_4 compared against completed depth d_1, master Rule 1 New-Column Depth Check with three-column lookback m=3, and eliminate confusing three-column lookback m=3 with small road lookback m=2.

Drill Reference ID
DR058
Big Road Streaks
11 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

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

DR058 drill board (PPBBPPPPBBPBBBPBBBPPPBP): 11 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 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 #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road · Mark #4

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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

DR058 Target Coordinate
Cockroach Pig (c5,r1) Switch

Big Road col 5 row 1 comparing col 4 vs col 1

DR058 Rule Classification
Question-Driven Error Audit

Rule 1 New-Column Depth Check with three-column lookback m=3

DR058 Depth Comparison
11 Big Road Cols

Completed depth d_4 compared against completed depth d_1

DR058 Misconception Focus
Diagnostic Check

Confusing three-column lookback m=3 with Small Road lookback m=2

DR058 GMU Modality Goal
Question-Driven Modality (Self-Test Triage)

Evaluate Rule 1 depth equality between Column 4 and Column 1 by diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups

DR058 · Coordinate & Rule Specification

DR058 Cockroach Pig (c5,r1) Switch: Question-Driven Error Audit Walkthrough

Verification lab DR058 pairs Question-Driven Error Audit with Cockroach Pig (c5,r1) Switch so students test Big Road col 5 row 1 comparing col 4 vs col 1 and answer: Where does an off-by-one column count flip the derived mark color?

Scoreboard inspection DR058 (Cockroach Pig (c5,r1) Switch · Question-Driven Error Audit) shows: Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=). Tracking 18 Small Road and 14 Cockroach Pig marks answers Where does an off-by-one column count flip the derived mark color?

Table DR058: Cockroach Pig (c5,r1) Switch specification under Question-Driven Error Audit.
DR058 Drill DimensionCoordinate / RuleGMU Modality Action
DR058 Matrix CoordinateBig Road col 5 row 1 comparing col 4 vs col 1Question-Driven Modality (Self-Test Triage)
DR058 Rule & DepthRule 1 New-Column Depth Check with three-column lookback m=3Completed depth d_4 compared against completed depth d_1
DR058 Diagnostic TargetConfusing three-column lookback m=3 with Small Road lookback m=2Evaluate Rule 1 depth equality between Column 4 and Column 1
  • DR058 Step 1: Locate Big Road col 5 row 1 comparing col 4 vs col 1 across the 11 columns of PPBBPPPPBBPB.
  • DR058 Step 2: Verify Completed depth d_4 compared against completed depth d_1 under Rule 1 New-Column Depth Check with three-column lookback m=3.
  • DR058 Step 3: Answer "Where does an off-by-one column count flip the derived mark color?" via diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups.
DR058 · Question-Driven Modality (Self-Test Triage)

DR058 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR058 states: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). By diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups, learners master Cockroach Pig (c5,r1) Switch and Completed depth d_4 compared against completed depth d_1 over 11 columns.

Table Reality Check

Myth vs. Truth

MythIn DR058 (Cockroach Pig (c5,r1) Switch), confusing three-column lookback m=3 with small road lookback m=2 or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 New-Column Depth Check with three-column lookback m=3 evaluates Completed depth d_4 compared against completed depth d_1; 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