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GMU ANALYTICAL · DEPTH AUDIT · DR250

Double-Jump 2x2 Symmetry — Analytical Depth Audit (DR250)

DR250 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Analytical Modality (Depth Vector Verification): 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
DR250
Big Road Streaks
9 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

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

DR250 drill board (PPBBBPPPPBBPBBBBBBPPPBP): 9 Big Road columns, 20 Big Eye Boy, 17 Small Road, and 13 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

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 #1

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

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

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

DR250 Target Coordinate
Double-Jump 2x2 Symmetry

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

DR250 Rule Classification
Analytical Depth Audit

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

DR250 Depth Comparison
9 Big Road Cols

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

DR250 Misconception Focus
Diagnostic Check

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

DR250 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR250 · Coordinate & Rule Specification

DR250 Double-Jump 2x2 Symmetry: Analytical Depth Audit Walkthrough

Verification lab DR250 pairs Analytical Depth Audit with Double-Jump 2x2 Symmetry so students test BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 and answer: How does the depth vector [d_1..d_k] determine all three derived roads?

Scoreboard inspection DR250 (Double-Jump 2x2 Symmetry · Analytical Depth Audit) shows: This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Tracking 17 Small Road and 13 Cockroach Pig marks answers How does the depth vector [d_1..d_k] determine all three derived roads?

Table DR250: Double-Jump 2x2 Symmetry specification under Analytical Depth Audit.
DR250 Drill DimensionCoordinate / RuleGMU Modality Action
DR250 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Analytical Modality (Depth Vector Verification)
DR250 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)
DR250 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
  • DR250 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 9 columns of PPBBBPPPPBBP.
  • DR250 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.
  • DR250 Step 3: Answer "How does the depth vector [d_1..d_k] determine all three derived roads?" via computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe.
DR250 · Analytical Modality (Depth Vector Verification)

DR250 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR250 states: This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). By computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe, learners master Double-Jump 2x2 Symmetry and Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) over 9 columns.

Table Reality Check

Myth vs. Truth

MythIn DR250 (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.
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