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GMU QUESTION-DRIVEN · TRIAGE · DR248

Double-Jump 2x2 Symmetry — Question-Driven Error Audit (DR248)

DR248 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Question-Driven Modality (Self-Test Triage): learners verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2), master Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell, and eliminate thinking row 2 of a 2x2 pattern turns blue before the column switches.

Drill Reference ID
DR248
Big Road Streaks
13 Cols
Big Eye Boy Total
21 Marks
Small Road Total
19 Dots
Engine-Verified Scoreboard · 25 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 B B B P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ = ≠ ≠ = = ≠ ≠
Cockroach Pig = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠

DR248 drill board (PPBBPPPPBBPBBBPBPTBBPBBBP): 13 Big Road columns, 21 Big Eye Boy, 19 Small Road, and 15 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 #6

Column 3 has 4 beads. 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 4 beads. 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 #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 #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

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

DR248 Target Coordinate
Double-Jump 2x2 Symmetry

BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4

DR248 Rule Classification
Question-Driven Error Audit

Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell

DR248 Depth Comparison
13 Big Road Cols

Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)

DR248 Misconception Focus
Diagnostic Check

Thinking Row 2 of a 2x2 pattern turns blue before the column switches

DR248 GMU Modality Goal
Question-Driven Modality (Self-Test Triage)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups

DR248 · Coordinate & Rule Specification

DR248 Double-Jump 2x2 Symmetry: Question-Driven Error Audit Walkthrough

Scoreboard workout DR248 applies Question-Driven Error Audit to Double-Jump 2x2 Symmetry: learners inspect Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) across 13 columns of PPBBPPPPBBPBBBPBPT and correct thinking row 2 of a 2x2 pattern turns blue before the column switches.

Step-by-step trace DR248 for Double-Jump 2x2 Symmetry states: Column 3 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠). With 19 Small Road and 15 Cockroach Pig marks visible, Question-Driven Error Audit fulfills trace both row 1 (rule 1) and row 2 (rule 2 case 2a) in a 2x2 shoe.

Table DR248: Double-Jump 2x2 Symmetry specification under Question-Driven Error Audit.
DR248 Drill DimensionCoordinate / RuleGMU Modality Action
DR248 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Question-Driven Modality (Self-Test Triage)
DR248 Rule & DepthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled CellRow 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)
DR248 Diagnostic TargetThinking Row 2 of a 2x2 pattern turns blue before the column switchesTrace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe
  • DR248 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 13 columns of PPBBPPPPBBPB.
  • DR248 Step 2: Verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) under Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell.
  • DR248 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.
DR248 · Question-Driven Modality (Self-Test Triage)

DR248 Misconception Diagnostic & Secondary Road Audit

In Section 2 of DR248, Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). Using Question-Driven Modality (Self-Test Triage) to practice Double-Jump 2x2 Symmetry replaces thinking row 2 of a 2x2 pattern turns blue before the column switches with verified coordinates.

Table Reality Check

Myth vs. Truth

MythIn DR248 (Double-Jump 2x2 Symmetry), thinking row 2 of a 2x2 pattern turns blue before the column switches or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell evaluates Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2); 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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