Pattern Protocol Lesson Plan Pattern Protocol
TEACHER FACING MATERIAL • LESSON PLAN
Standards Focus
NC.5.OA.2, NC.5.OA.3
Duration
90-120 Minutes
Objective
Students will translate word problems into expressions and analyze relationships between numerical patterns by graphing.
Materials
Slides, Worksheet, Protocol Pursuit Game , Task Cards, Exit Ticket.
Instructional Sequence
01 Engagement: The Binary Break (10 mins)
Display "glitched" code on slides. Model translating word phrases into expressions with parentheses.
02 Direct Instruction: Expression & Pattern Logic (20 mins)
Model translating phrases (OA.2) and generating/graphing dual patterns (OA.3).
03 Collaborative Activity: Protocol Pursuit Game (30 mins)
Students play Protocol Pursuit in groups of 2-4. They move along the circuit board by solving Encoder (expressions) and Sync (patterns) cards. Players must verify answers using the included System Key.
04 Independent Practice: Pattern Pulse (20 mins)
Students complete the "Pattern Pulse Worksheet" individually to demonstrate mastery.
05 Closure & Exit Ticket (10 mins)
Distribute "Binary Break Exit Ticket".
Teaching Diagnostics
Scaffolding
Provide students with the Logic Lab Task Cards as a pre-game warm-up or for targeted intervention during the game phase.
Visual Supports
Use the Slide Deck's "Visual Mapping" slide as a permanent anchor chart during game play.
Extension
Circuit Stories: Use the advanced problem set for students who master the game quickly.Game Dev: Have students create their own "Glitch" or "Encoder" cards. Pattern Protocol Slides System Startup
Pattern
Protocol
Numerical Expressions & Coordinate Relationships
The Core Logic
Expression
A mathematical phrase using numbers and symbols.
(12 + 8) × 4
01
Parentheses take Priority.
02
"The sum of..." signals ( ).
Translation Protocol
Script Input
"Multiply 4 by the sum of 7 and 3."
Logic Error
4 × 7 + 3
(Value: 31)
Verified Code
4 × (7 + 3)
(Value: 40)
Pattern Propagation
Rule Alpha
Start 0. Add 3.
Rule Beta
Start 0. Add 6.
Relationship: Beta = 2 × Alpha
Visual Mapping
Alpha (X)
Beta (Y)
Coordinate Pairs
(X, Y)
Rule Alpha terms map to X.
System Vector
"A constant relationship generates a perfect linear path."
Pattern Pulse Worksheet Pattern Pulse
SYSTEMS CALIBRATION WORKSHEET
Operator Signature
Session Timestamp
01
Logic Gates: Encoded Expressions
Operational Directive: Translate each English phrase into a valid numerical expression.
A.
Add 15 and 7, then multiply by 3.
B.
Subtract the product of 4 and 5 from 50.
C.
Divide 100 by the sum of 12 and 13.
02
Signal Sync: Dual Pattern Propagation
Input Data Stream
RULE X
Start 0. Add 4.
RULE Y
Start 0. Add 8.
Term Value X Value Y 1 0 0 2 4 8 3 4 5
Coordinate Mapping
048121620
0816243240
X: Rule X Value
Y: Rule Y Value
System Rule Discovery
Protocol: Y is ______ times X.
03
Module 03: Application Vectors
SERVER LOG A server starts with 50 GB. It receives 12 GB every hour for 3 hours. Then, it deletes 15 GB.
Expression
Final Value
OVERRIDE Use the numbers 10, 5, and 2 once each to result in exactly 30.
( ___ + ___ ) × ___ = 30
Binary Break Exit Ticket Binary Break
EXIT TICKET • PACKET ID: ________
01. Translation Protocol
"The quotient of 24 and the sum of 2 and 6."
EXPR: _______________
02. Relationship Scan
Rule A: Start 0, add 5. | Rule B: Start 0, add 15.
?
Rule B is _______ times Rule A.
03. Logic Debug
Does (8 + 2) × 5 equal 8 + 2 × 5? Why?
Scissor Line
Binary Break
EXIT TICKET • PACKET ID: ________
01. Translation Protocol
"The quotient of 24 and the sum of 2 and 6."
EXPR: _______________
02. Relationship Scan
Rule A: Start 0, add 5. | Rule B: Start 0, add 15.
?
Rule B is _______ times Rule A.
03. Logic Debug
Does (8 + 2) × 5 equal 8 + 2 × 5? Why?
System Diagnostic Assessment Classified
System Diagnostic
Assessment Protocol • NC Standards Focused
Matrix Score
/100
Subject Authorization ID
Timestamp
Module 01: Expression Parsing
1. Select the expression string for:
4 × 15 + 9
4 × (15 + 9)
(4 × 15) + 9
15 + (9 × 4)
2. Expression Execution:
[ 25 - (3 + 2) ] × 4
Output
Module 02: Pattern Propagation
3. Generate sequences (Start at 0):
Protocol Alpha
ADD 5
0
Protocol Beta
ADD 10
0
4. Correlation Trace
Analyze corresponding terms. Define the relationship rule.
Relationship Protocol: _______________
5. Data Pairs (x, y)
Map (Alpha, Beta) pairs into 3 coordinate strings.
(0, 0)
(____, ____)
(____, ____)
Module 03: Field Vectors
A drone fleet is being programmed.
A. System Differential
After 4 hours, how much further has Drone A traveled than Drone B? Write ONE expression and solve.
B. Vector Map Projection
Graph for Hours 0, 1, 2. Map Drone B as X and Drone A as Y.
051015202530
0102030405060
X-Axis: Drone B Distance
Y-Axis: Drone A Distance
Logic Trace:
Describe the vector line if Drone B was the faster drone.
System Response String...
Answer Key Master Master Key
PROTOCOL VERIFICATION • TEACHER USE ONLY
Circuit Stories Problem Set Keys
01: The Backup Protocol
Expression: 8 × (15 + 10 - 5)
Logic: RAW+JPEG-Blurs per folder, multiplied by 8. Result: 160 images.
02: System Power Down
Expression: [ 100 - (8 × 4) + 12 ] ÷ 2
Logic: (Start - Drain + Charge) then halved. Result: 40%.
03: Bandwidth Battle
Sync Table (Alpha, Beta): T2:(12,4), T3:(18,6), T4:(24,8)
Rule: 3 times faster.
Prediction: 20 GB.
04: Server Farm Growth
Graph Points: (10,30), (20,60), (30,90)
Relationship: Y = 3X.
Target: 300 servers.
Logic Lab Task Card Keys
Card 1: (14 + 6) × 5
Card 2: [40 ÷ 5] × 2 = 16
Card 3: 100 - (15 × 4) + 25
Card 4: Fix: 6 × (10 + 2)
Card 5: X = 25, Y = 50 (Term 6 from Term 1=0)
Card 6: Y is 3 times X (Y = 3X)
Card 7: (0,0), (2,10), (4,20), (6,30)
Card 8: Diagonal Line; steep.
Worksheet & Exit Ticket
WS Logic: A: (15+7)×3 | B: 50-(4×5) | C: 100÷(12+13)
WS Relationship: Rule Y is double (2x) Rule X.
Exit Ticket: 1: 24÷(2+6) | 2: 45; 3 times faster.
ET 3: No. (8+2)×5=50 vs 18. Sequence changes.
System Diagnostic
1. 4×(15+9) | 2. 80
3. Alpha: 0,5,10,15,20 | Beta: 0,10,20,30,40
4. Relationship: Y = 2X.
Drone Differential: (20×4)-(5×4) = 60 km.
Logic Lab Task Cards Logic 01
Translation Protocol
"Find the sum of 14 and 6, then multiply the result by 5."
Standard NC.5.OA.2
Logic 02
Execution Phase
[ 40 ÷ (2 + 3) ] × 2
Evaluate Expression
Logic 03
Scenario Model
A robot has 100 power cells. It uses 15 cells per hour for 4 hours. Then, it finds a recharge pack with 25 cells.
Goal: Write Expression
Robot Protocol
Logic 04
Debug Request
English String:
"The product of 6 and the sum of 10 and 2."
Error Code:
6 × 10 + 2
System Override Required
Sync 05
Sync Propagation
Rule X
Start 0, Add 5.
Rule Y
Start 0, Add 10.
Predict Term 6
X: ___
Y: ___
Standard NC.5.OA.3
Sync 06
Correlation Scan
Term # Value X Value Y 1 0 0 2 4 12 3 8 24
"Y is _____ times X."
System Linkage
Sync 07
Vector Mapping
Rule Alpha: Starts 0, Add 2.
Ordered Pairs (Alpha, Beta):
( 0 , 0 )
(__ , __)
(__ , __)
(__ , __)
Data Prep Phase
Sync 08
Graphic Projection
Rule X increases by 3. Rule Y increases by 9. How would you describe the line on a graph?
Horizontal
Vertical
Diagonal Line
Query:
Steep or flat?
Visual Signal Test
Circuit Stories Problem Set Circuit Stories
Advanced Problem Set • Expression Modeling
Network Operator
01
The Backup Protocol
Target: Translation & Hierarchy
A photographer uploads 8 folders of photos to a cloud server. Each folder contains 15 RAW images and 10 JPEG images. After uploading, the photographer deletes 5 blurry images from each folder.
Construct Expression
Evaluation Results
02
System Power Down
Target: Multi-Step Modeling
A laptop starts with 100% battery. It loses 8% of its battery every hour for 4 hours while running video software. Then, the user plugs it in, and it gains 12% back. Finally, a system update consumes half of the remaining battery.
Construct a single expression using parentheses and brackets to find the final percentage.
03
Bandwidth Battle
Target: Dual Pattern Comparison
Two friends are downloading a large game file.
USER ALPHA: Starts at 0 GB and downloads 6 GB every minute.
Sync Table
Relationship Analysis
How many times faster is User Alpha's download than User Beta's?
Data Prediction
When User Alpha has 60 GB, how much has User Beta downloaded?
04
The Server Farm
Target: Coordinate Graphing Logic
Two data centers grow at different rates. Center 1 (X) adds 10 servers per month. Center 2 (Y) adds 30 servers per month. Both start at 0.
01020304050
0306090120150
Y: Center 2 (Total Servers)
X: Center 1 (Total Servers)
Logic Trace Query
"Center 2 is always triple Center 1. If Center 1 reaches 100 servers, predict Center 2's total."
Protocol Pursuit Game Board Protocol Pursuit
Required: Pursuit Protocol Game Cards
v.1.0_boot
Entry
START
01
02
Glitch
04
05
11
10
09
Boost
07
06
12
13
14
Glitch
16
17
Final
FINISH
23
22
21
20
19
Encoder Deck
Words to Code
Sync Deck
Pattern Analysis
Quick Rules
Roll 1 Die. Move. Draw card matching icon.
Pursuit Protocol Game Cards Pursuit Protocol Game Cards
ENCODER
REF: 01
"Multiply the sum of 8 and 4 by 10."
Protocol: Write Expression
ENCODER
REF: 02
"Find 12 less than the product of 5 and 6."
Protocol: Write Expression
ENCODER
REF: 03
"Add 5 to 15, then divide by 4."
Protocol: Write Expression
SYNC
REF: 04
Alpha Rule: +4
If the 1st term is 0, what is the 5th term?
Goal: Find Term Value
SYNC
REF: 05
Rule 1: +3 | Rule 2: +9
"Rule 2 is always ____ times Rule 1."
Goal: Relationship
SYNC
REF: 06
"Coordinates are (5, 10) and (10, 20). What is the next pair if Rule X is +5?"
Goal: Predict Pair
System Key
Encoder Logic
REF: 01
(8 + 4) × 10
REF: 02
(5 × 6) - 12
REF: 03
(15 + 5) ÷ 4
Sync Logic
REF: 04
16 (0,4,8,12,16)
REF: 05
3 Times
REF: 06
(15, 30)
Verification Station Personnel Only
