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GMU PLAIN-ENGLISH · WALKTHROUGH · DR305

4-vs-2 Column Break Check — Plain-English Walkthrough (DR305)

DR305 pairs 4-vs-2 Column Break Check (Reference column depth 2 vs active column extending to rows 3 and 4) with Plain-English Modality (Jargon-Free Narrative): learners verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red), master Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red), and eliminate keeping row 4 blue after row 3 already marked the single-row break.

Drill Reference ID
DR305
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

DR305 drill board (BBPPBPPPBBPPBBBPPPBBBP): 10 Big Road columns, 19 Big Eye Boy, 17 Small Road, and 16 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 #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road · Mark #1

Column 3 has 1 bead. 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 1 bead. 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 #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DR305 Target Coordinate
4-vs-2 Column Break Check

Reference column depth 2 vs active column extending to rows 3 and 4

DR305 Rule Classification
Plain-English Walkthrough

Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)

DR305 Depth Comparison
10 Big Road Cols

At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)

DR305 Misconception Focus
Diagnostic Check

Keeping Row 4 blue after Row 3 already marked the single-row break

DR305 GMU Modality Goal
Plain-English Modality (Jargon-Free Narrative)

Trace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column by stating the lookback comparison in everyday words using describeMark()

DR305 · Coordinate & Rule Specification

DR305 4-vs-2 Column Break Check: Plain-English Walkthrough Walkthrough

Under Plain-English Walkthrough (DR305), 4-vs-2 Column Break Check isolates Reference column depth 2 vs active column extending to rows 3 and 4 and At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red), turning BBPPBPPPB-BPPBBBPPP into a hands-on 19-mark verification.

Applying Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) in DR305, Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠). Those 17 Small Road dots and 16 Cockroach Pig slashes accompany Reference column depth 2 vs active column extending to rows 3 and 4 during stating the lookback comparison in everyday words using describeMark().

Table DR305: 4-vs-2 Column Break Check specification under Plain-English Walkthrough.
DR305 Drill DimensionCoordinate / RuleGMU Modality Action
DR305 Matrix CoordinateReference column depth 2 vs active column extending to rows 3 and 4Plain-English Modality (Jargon-Free Narrative)
DR305 Rule & DepthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)
DR305 Diagnostic TargetKeeping Row 4 blue after Row 3 already marked the single-row breakTrace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column
  • DR305 Step 1: Locate Reference column depth 2 vs active column extending to rows 3 and 4 across the 10 columns of BBPPBPPPBBPP.
  • DR305 Step 2: Verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) under Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red).
  • DR305 Step 3: Answer "How do you explain this mark in one clear sentence to a table neighbor?" via stating the lookback comparison in everyday words using describeMark().
DR305 · Plain-English Modality (Jargon-Free Narrative)

DR305 Misconception Diagnostic & Secondary Road Audit

Inside DR305 (GMU PLAIN-ENGLISH · WALKTHROUGH), Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠). Every step of Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) and At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) holds across 10 columns.

Table Reality Check

Myth vs. Truth

MythIn DR305 (4-vs-2 Column Break Check), keeping row 4 blue after row 3 already marked the single-row break or reading red/blue derived marks as Banker/Player outcomes.
TruthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) evaluates At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red); derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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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
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