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GMU HANDS-ON MODALITY · WORKOUT · DR243

Double-Jump 2x2 Symmetry — Hands-On Entry Workout (DR243)

DR243 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Hands-On Modality (Interactive Plotting): 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
DR243
Big Road Streaks
10 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 24 Hands

Read the Board at Table Speed

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

DR243 drill board (BBPPPBBPPBBBBPPPBPBBPPTP): 10 Big Road columns, 20 Big Eye Boy, 17 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 #1

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

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column 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.

Small Road · Mark #4

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig · Mark #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR243 Target Coordinate
Double-Jump 2x2 Symmetry

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

DR243 Rule Classification
Hands-On Entry Workout

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

DR243 Depth Comparison
10 Big Road Cols

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

DR243 Misconception Focus
Diagnostic Check

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

DR243 GMU Modality Goal
Hands-On Modality (Interactive Plotting)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by entering each coup into the calculator and verifying the emitted mark

DR243 · Coordinate & Rule Specification

DR243 Double-Jump 2x2 Symmetry: Hands-On Entry Workout Walkthrough

Inside Hands-On Modality (Interactive Plotting) (DR243), exercise Double-Jump 2x2 Symmetry targets Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell while entering each coup into the calculator and verifying the emitted mark produces 20 Big Eye Boy marks over BBPPPBBPP.

Within DR243, Hands-On Modality (Interactive Plotting) highlights the primary mark: This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Across 17 Small Road and 15 Cockroach Pig entries, Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) remains transparent.

Table DR243: Double-Jump 2x2 Symmetry specification under Hands-On Entry Workout.
DR243 Drill DimensionCoordinate / RuleGMU Modality Action
DR243 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Hands-On Modality (Interactive Plotting)
DR243 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)
DR243 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
  • DR243 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 10 columns of BBPPPBBPPBBB.
  • DR243 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.
  • DR243 Step 3: Answer "What mark appears when you append the next B or P coup to this sequence?" via entering each coup into the calculator and verifying the emitted mark.
DR243 · Hands-On Modality (Interactive Plotting)

DR243 Misconception Diagnostic & Secondary Road Audit

Multi-road audit DR243 (Double-Jump 2x2 Symmetry) shows: Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). Grounded in Hands-On Modality (Interactive Plotting), readers verify BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across 10 Big Road columns.

Table Reality Check

Myth vs. Truth

MythIn DR243 (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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android