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GMU PLAIN-ENGLISH · WALKTHROUGH · DR245

Double-Jump 2x2 Symmetry — Plain-English Walkthrough (DR245)

DR245 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Plain-English Modality (Jargon-Free Narrative): 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
DR245
Big Road Streaks
12 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 B P B B P
Big Eye Boy = = ≠ ≠ = ≠ = ≠ = = = ≠ ≠ = ≠ ≠ = ≠ ≠
Small Road ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠
Cockroach Pig = ≠ ≠ = = ≠ ≠ = = = = = ≠ ≠ = =

DR245 drill board (BBPPBPPPBBPPBBBPPBPBBP): 12 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

DR245 Target Coordinate
Double-Jump 2x2 Symmetry

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

DR245 Rule Classification
Plain-English Walkthrough

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

DR245 Depth Comparison
12 Big Road Cols

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

DR245 Misconception Focus
Diagnostic Check

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

DR245 GMU Modality Goal
Plain-English Modality (Jargon-Free Narrative)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by stating the lookback comparison in everyday words using describeMark()

DR245 · Coordinate & Rule Specification

DR245 Double-Jump 2x2 Symmetry: Plain-English Walkthrough Walkthrough

Guided by Plain-English Modality (Jargon-Free Narrative), drill DR245 walks through Double-Jump 2x2 Symmetry (Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell) across 12 Big Road streaks and 19 derived marks in BBPPBPPPB-BPPBBBPPB.

For coordinate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 in DR245, Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠). Meanwhile, 17 Small Road and 16 Cockroach Pig comparisons reinforce Plain-English Walkthrough.

Table DR245: Double-Jump 2x2 Symmetry specification under Plain-English Walkthrough.
DR245 Drill DimensionCoordinate / RuleGMU Modality Action
DR245 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Plain-English Modality (Jargon-Free Narrative)
DR245 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)
DR245 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
  • DR245 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 12 columns of BBPPBPPPBBPP.
  • DR245 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.
  • DR245 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().
DR245 · Plain-English Modality (Jargon-Free Narrative)

DR245 Misconception Diagnostic & Secondary Road Audit

Closing DR245 (Double-Jump 2x2 Symmetry · Plain-English Walkthrough), Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠). Mastering Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell over 12 columns builds lasting scoreboard accuracy.

Table Reality Check

Myth vs. Truth

MythIn DR245 (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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