Project Mission Slides Final Mission
MATH IN MOTION
Choose your career path. Apply your skills.
Choose Your Path
The Music Mogul
Analyze streaming vs. physical sales using Systems & Linear Equations.
Level: Strategy Expert
The Urban Planner
Design city expansions and park layouts using Sequences & Polynomials.
Level: Design Architect
The Sports Analyst
Predict player performance and trends using Data & Best Fit Lines.
Level: Data Master
The Music Mogul
Your label has two artists. You need to decide who gets the summer tour budget.
Model cost/revenue using Linear Functions .
Find the Break-Even Point for merch sales.
Solve a System to balance marketing spend.
Sample Task
"If Artist A makes $0.004 per stream but costs $5k to record, and Artist B makes $0.002 per stream but costs $1k... who wins at 1 million streams?"
Sample Task
"The park is \(x+10\) long and \(x+4\) wide. Find the area. If you triple the flower beds each year, how many will there be in year 5?"
The Urban Planner
Design the city of the future. Space is limited, and efficiency is everything.
Calculate park areas using Binomial Multiplication .
Factorize land zones to find Dimensions .
Predict population using Geometric Sequences .
The Sports Analyst
The draft is coming up. Your team needs a new star. Who do you pick?
Graph player stats on a Scatter Plot .
Find the Line of Best Fit for player performance.
Use Correlation to predict final season scores.
Sample Task
"Plot 'Practice Hours' vs 'Points Scored'. Is there a strong correlation? Predict how many points they'll score if they practice 40 hours."
Final Deliverables
The Calculation Log
All math work shown clearly with steps, formulas, and labels.
The Career Pitch
A one-page executive summary explaining your decision based on the math.
Ready to start? Pick your path!
Project Mission Slides Final The 2-Hour Career Summit
MATH IN MOTION
Lead Consultant Simulation. Solve the specs. Land the offer.
Summit Pacing
20m
Skill Warmup
Brush up on the essential consulting math.
70m
Work Orders
Choose a path and solve your career specs.
30m
The Pitch
Synthesize evidence and sign the offer.
Consulting Sectors
Systems
Music Mogul
Viral Growth & streaming models.
"Solve for the overlap."
Architect
Urban Planner
Binomial lot area models.
"Model the lot layout."
Aerospace
Rocket Scientist
Quadratic flight parabolas.
"Find the peak height."
Scouting
Sports Analyst
Scatter trends & best fit lines.
"Graph the best fit."
Music Mogul
Compare marketing costs for the label. Identify the streams x where both promotional schedules charge the identical rate.
Scenario Cost Formulas: Schedule A: y = 2x + 12
Analysis Tip
Set the two equations equal to each other:
Urban Planner
Determine real estate grid dimensions. Multiply side parameters using the visual Area Box Method, or factor standard equations back into side lengths.
Lot Dimensions: Area = (x + 5)(x + 3)
Box Method Tip
Draw a 2x2 grid. Multiply columns by rows to find the four cells:
Rocket Scientist
Aerospace staging requires finding parabolic trajectories. Locate the peak horizontal flight and vertical altitude of booster rockets using vertex math.
Vertex Peak Formulas: Horizontal Peak: x = -b / 2a Peak Altitude: y = y(x)
CLASS QUADRATIC PRACTICE
Solve the payload trajectory vertex peak: y = -x² + 10x
Step 1: Distance x x = -10 / 2(-1) = 5 km
Step 2: Peak Height y y = -(5)² + 10(5) = 25 km
Sports Analyst
Map player coordinate logs. Sketch lines of best fit, write linear trend equations in slope-intercept form, and describe correlation directions.
Project Mission Log Final Handout Path: Music Mogul
Simulation Phase 02 • Calculation Log
Consultant:
01: Streaming Growth Analysis
Artist A: \(50,000 + 2,000w\). Artist B: \(80,000 + 500w\). Find week (w) they are equal.
Algebraic Evidence Log
\(50,000 + 2,000w = 80,000 + 500w\)
Isolate \(w\):
Final Point
Week
?
02: Vinyl Break-Even
Profit Rule: \(17x - 500 = 0\).
x = ______
03: Tour Logistics
Formula: \(F(12) = 1500 - 45(12)\).
______ Gal
Path: Urban Planner
Simulation Phase 02 • Calculation Log
01: Park Expansion Model
Multiply: (x + 10) by (x + 4)
x + 10
x + 4
x²
10x
4x
40
Standard Area Specification
x² + ______ + 40
Combine common terms to finalize.
02: Zoning combined P
Eq: \(6x + 30 = 100\).
6x = ______
03: Transit Totals
Formula: \(12 + 5(35)\).
______
Path: Rocket Scientist
Simulation Phase 02 • Calculation Log
01: Flight Safety timing
Altitude: \(h(t) = -5t^2 + 20t + 25\). Find time (t) for splashdown (\(h=0\)).
Quadratic Proof Work
\(x = \frac{-20 \pm \sqrt{20^2 - 4(-5)(25)}}{2(-5)}\)
Impact Point
Seconds
?
02: Safe Zone retrieval
Factor: \(x^2 + 10x + 24\).
(x + __)(x + __)
03: Safety Thresholds
Engine: \(500 + 25(14)\).
______
Path: Sports Analyst
Simulation Phase 02 • Calculation Log
Training (x) Points (y) 10 15 20 32 30 50 40 68 50
Project Success Rubric Final Pack Final Summit Rubric
2-Hour Consulting Simulation
100 POINTS
Summit Pacing Guide (120 Minutes)
0-20m
Skill Warmup drills. Refresh algebra basics.
20-90m
Path Selection & Work Orders (Calculations).
90-120m
Final Portfolio Synthesis & Decision Pitch.
Criterion Exceeds (25) Meets (20) Emerging (10) Calculation Accuracy Zero errors in algebra. Step-by-step logic shown for all 3 Work Orders. 1-2 minor errors. Setup and algebraic path are correct. Major errors. Final result missing or lacks math evidence. Evidence Match Portfolio summaries perfectly match the data calculated in the Log. Summaries are mostly accurate to student work. Portfolio results differ from Work Order evidence. Professional Pitch Uses 2+ specific math data points to justify the career recommendation. Clear recommendation with basic evidence link. Vague conclusion. Fails to link math to the decision. Simulation Polish Professional neatness. Every scaffolded step completed. Legible. Signatures and outcomes filled in. Incomplete or messy submission. Missing sections.
Teacher Quick-Key
Music: Week 20 intersection. Break-even: 30 units.
Urban: x^2 + 14x + 40. Hubs (n=36): 187.
Rocket: t = 5 sec (impact). Zone: (x+6)(x+4).
Sports: Pos correlation. Predict for 80hrs: ~138 pts.
Executive Pitch Portfolio Final Handout The Career
Final Portfolio
Official Decision Evidence Pack
Job Board Consulting Sectors:
Music • Urban • Rocket • Sports
Lead Consultant
Official Name:
Project Code
SUMMIT-LOG-2026
"A decision without evidence is just a guess."
Evidence Log
Data Verification
Calculation Summary 01
Explain the primary algebraic result from your path:
Calculation Result 02
Explain the secondary data result from your path:
Final Executive Decision
Summarize your math-based recommendation:
The Final Pitch
Executive Brief
Professional Pitch Statement / Recommendation Letter
Job Offer Outcome
Consultant Signature
Project Success Rubric Teacher Guide Project Rubric & Scoring
Teacher Reference Resource
Total Points: 100
Criterion Exceeds (25 pts) Meets (20 pts) Developing (15 pts) Mathematical Accuracy
Calculations, formulas, and solving steps.
| Zero errors in calculations; formulas correctly applied to all phases. | Minor computational errors; logic and setup are correct. | Frequent errors; incorrect formula setup for 1 or more phases. |
|
Visual Modeling
Graphs, area models, scatter plots.
| Models are precise, fully labeled, and clearly represent the data. | Models are present and mostly correct; some labeling missing. | Models are messy or incorrect; difficult to interpret data. |
|
Real-World Logic
The "Pitch" and executive summary.
| Professional recommendation is fully supported by calculated data. | Recommendation is clear and uses some data for support. | Recommendation is vague and doesn't clearly use the math results. |
|
Process Documentation
Showing work and scratchpad logic.
| Every step is shown; easy to follow the student's train of thought. | Most work is shown; some logical jumps are present. | Only final answers provided; minimal evidence of process. |
Differentiation Tips
Tier 3 Support: Provide the "Music Mogul" path as it has the most linear structure. Offer a pre-labeled graph for Phase 1.Extension: For "Urban Planner," ask students to calculate the cost of seeds if they triple every year (Geometric Series).Scaffolding: Use the Skill Missions to identify which path a student should take based on their strengths.
Pacing Guide
Day 1-2: Skill Missions (Scaffolding worksheets).Day 3: Project Intro & Selection.Day 4: Phase 1 & 2 Calculations.Day 5: Final Pitch & Executive Summary.
Grading Key
Ensure students use \(y = mx + b\) for Line of Best Fit and \(a_n\) for sequences.
Project Mission Guide Handout Summit Mission Guide
Math In Motion • Career Simulation
The Consulting Goal
You are a lead consultant tasked with solving high-stakes work orders. You must select one consulting sector, solve the required math, and present your evidence in an Executive Portfolio to land the offer.
Phase 1
Skill Warmup
Phase 2
Work Orders
Final
The Pitch
Verification Steps
Accurate Algebra
Pattern Logic
Evidence Pitch
Select Your Path
Music
Mogul
Systems & Linear
Urban
Planner
Polynomials
Rocket
Scientist
Quadratics
Sports
Analyst
Statistics
Professional Protocol
Choose one sector and solve the three unique Work Orders in your log. Your final presentation must reference the math to be successful.
Project Mission Guide Final Handout Career Data Specs
Math In Motion • official work order data
Access Level
Confidential
Music Mogul: Data
Spec 1: Growth Rates
Artist A: 50,000 + 2,000/week. Artist B: 80,000 + 500/week.
Spec 2: Vinyl Profit
Fixed: $500. Production: $8/unit. Sales: $25/unit.
Urban Planner: Data
Spec 1: Park Dimensions
Current side length is x. Length increases by 10; Width by 4.
Spec 2: Hub Schedule
Start: 12 hubs. Build: 5/month for 3 years (36 months).
Rocket Scientist: Data
Spec 1: Flight Altitude
Equation: \(h(t) = -5t^2 + 20t + 25\). Splashdown is at \(h=0\).
Spec 2: Landing Zone
Safe securing area is modeled by: \(x^2 + 10x + 24\).
Sports Analyst: Data
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Spec 2: Performance Goal
Predict score for 80 hours using Best Fit trend.
Synthesis Directive
Use these specs to complete your individual **Work Log**. Once calculation evidence is secured, you will receive the **Executive Pitch Pack** to synthesize your results for the final job board presentation.
Project Mission Slides Revised Final Project Mission
MATH IN MOTION
Select a career path. Apply your skills. Prove your results.
Choose Your Career Path
The Music Mogul
Master Systems & Linear Logic to launch the next superstar.
STRATEGY EXPERT
The Urban Planner
Use Sequences & Area Models to design the city of tomorrow.
DESIGN ARCHITECT
The Sports Analyst
Leverage Data & Correlation to scout championship talent.
DATA MASTER
Urban Planner
Design high-efficiency parks and transit systems using polynomial area models.
1
Multiply \((x + 10)\) by \((x + 4)\)
2
Factorize land zone trinomials
3
Model transit growth with sequences
Architectural Task
"Your park is 10 feet longer and 4 feet wider than the city standard square. What is the total area in terms of \(x\)?"
Project Mission Guide Final Pack Career Data Guide
Math In Motion • Mission Specs
Status: Authorized
Phase 1 & 2: Work Order Specifications
Use these official specs to complete your Work Log. Final job offers will be presented during the Career Summit.
Music Mogul
Systems
Spec 01: Growth Battle
• Artist A: 50k streams + 2k/wk growth
• Artist B: 80k streams + 0.5k/wk growth
Spec 02: Vinyl Profit
Fixed Cost: $500. Variable: $8/unit. Revenue: $25/unit. Find break-even point.
Urban Planner
Polynomials
Spec 01: Expansion Area
Project: Expand square lot \(x\) by 10 units (length) and 4 units (width). Area = \((x + 10)(x + 4)\).
Spec 02: Transit Sequence
Baseline: 12 hubs. Build Schedule: 5 per month. Total months: 36.
Rocket Scientist
Quadratics
Spec 01: Flight Safety
Altitude: \(h(t) = -5t^2 + 20t + 25\). Find exact splashdown time (\(h=0\)).
Spec 02: Landing Perimeter
Safety Zone: \(x^2 + 10x + 24\). Factor to find securing team boundaries.
Sports Analyst
Statistics
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Spec 02: MVP Model
Trend: Linear Best Fit. Goal: Predict performance for 50-80 training hours.
The Final Synthesis
Submit your finalized Work Orders before the final Career Summit block. You will use these official data points to draft your professional Executive Pitch Portfolio .
Project Mission Guide Handout Revised Mission Log: Path Selection
Math In Motion Final Project
Agent:
Path:
Mission Directives:
Your mission is to apply your mathematical training to one of the three real-world sectors below. You must complete the **Work Log** for your path and finish with a **Professional Pitch** justifying your decisions.
Path 1: The Music Mogul
Systems, Linear Equations, Profit Models
Phase 1: Solve a system to find when two artists' follower counts will match.
Phase 2: Build a profit model for Vinyl sales and find the break-even point.
Phase 3: Write the tour strategy pitch based on your ROI (Return on Investment).
Path 2: The Urban Planner
Sequences, Polynomial Area, Factoring
Phase 1: Use \((x+10)(x+4)\) to design park blocks and factor for zone sizes.
Phase 2: Model transit expansion using arithmetic and geometric growth.
Phase 3: Present the "City of the Future" plan to the town council.
Path 3: The Sports Analyst
Data Sets, Best Fit Lines, Correlation
Phase 1: Plot rookie training data (Hours vs Points Scored) on a scatter plot.
Phase 2: Calculate the Line of Best Fit and predict future scores.
Phase 3: Recommend a draft pick to the GM using correlation data.
Sports Analyst Data Set
Use this dataset for **Phase 1** of the Sports Analyst mission. Plot these points on a scatter plot and find the correlation.
Training Hours (\(x\)) Points Scored (\(y\)) 10 15 15 22 20 28 25 40 30 48
Training Hours (\(x\)) Points Scored (\(y\)) 35 55 40 62 45 75 50 88 55 92
Mission Work Space
Attach your calculation log and professional pitch here. Your pitch must be at least one paragraph using your data as proof.
Project Success Rubric Revised Project Success Rubric
Final Summative Assessment
100 POINTS MAX
Category Exceeds (25) Meets (20) Emerging (10) Math Accuracy Zero errors; all steps shown clearly. Formulas used perfectly. 1-2 minor errors; logic and setup are correct. Multiple errors; poor setup of systems/sequences. Modeling Graphs/Area models are precise and fully labeled. Models are mostly correct; labels mostly present. Missing or incorrect models (e.g., no best fit line). Data Pitch Compelling argument fully backed by calculated data points. Clear decision made using some math as evidence. Vague conclusion; fails to use math to justify choice. Process Highly organized; work log is professional and easy to follow. Work log is present and shows basic steps. Disorganized; only final answers shown.
Professional Key (Reference)
Path 1: Intersect at \(w = 20\) weeks. Vinyl profit begins at \(n = 30\) units.
Path 2: Area: \(x^2 + 14x + 40\). Factors for \(x^2 + 10x + 16\) are \((x+8)(x+2)\).
Path 3: Correlation is strong positive (\(r \approx 0.98\)). Best fit slope \(\approx 1.7\).
Notation: Ensure \(\pm\) used in systems and correct indices for \(a_n\).
Differentiation
Reduce Path 2 to just Arithmetic sequences for Tier 2. Use "Music Mogul" for Tier 3 as it mirrors simple linear growth.
Final Submission
Students must submit the Mission Log + separate Work Log papers. Pitch can be oral or written.
Project Mission Slides Final Final Project Mission
MATH IN MOTION
Choose your path. Prove your logic. Make the decision.
Music Mogul
Manage a label roster. Use Systems and Linear Functions to maximize profit.
1
Solve streaming follower systems
2
Calculate vinyl break-even points
3
Pitch the high-ROI tour strategy
Business Challenge
"At what point will your underground artist finally overtake the mainstream star in total listeners?"
Design Challenge
"Design a central park block that is 10 feet longer and 4 feet wider than a standard square lot."
Urban Planner
Plan the infrastructure. Use Binomials and Sequences for city growth.
1
Calculate park area polynomials
2
Factorize land zone trinomials
3
Model public transit expansion
Sports Analyst
Scout the next MVP. Use Correlation and Lines of Best Fit to predict success.
1
Plot performance scatter charts
2
Identify strength of correlation
3
Predict future points per game
Scouting Task
"Based on their practice hours, how many points will this rookie score in the championship game?"
Project Success Rubric Final Project Rubric
Summative Evaluation
100 POINTS
Category Exceeds (25) Meets (20) Emerging (10) Math Accuracy Zero errors in algebra or formula execution. Steps perfectly detailed. 1-2 minor errors; general logic and setup are correct. Multiple conceptual errors; failed to setup equations correctly. Visual Modeling Precise models (Area/Graph/Best Fit) with clear numerical labels. Models are present and mostly accurate; 1-2 labels missing. Inaccurate or unreadable models; missing scaling/axis data. Data Proof Choice is justified using multiple data points from calculations. Choice is clear and supported by at least one calculation. Opinion-based decision with little to no math evidence. Log Quality Work Log is exceptionally organized; professional presentation. Work Log is legible and follows a logical sequence. Disorganized or incomplete work log; messy scribbles.
TEACHER SCORING KEY
Music Path: Intersection at 20 weeks (Artist A > Artist B). Break even: 30 units.
Urban Path: Area = x² + 14x + 40. Transit Hubs (n=36) = 187 total hubs.
Sports Path: Strong positive correlation. Predicted score for 50hrs ≈ 85-88 pts.
Notation: Check for proper subscript a₁ and exponent n-1 usage.
Differentiation
Support Tier 3 with pre-filled FOIL boxes or pre-labeled graph axes for the Sports path.
Final Step
Students MUST attach their scratch work. No work = No points for Accuracy category.
Executive Pitch Portfolio Handout The Executive
Career Pitch
Summative Math Portfolio
Lead Consultant
Project Sector
This portfolio contains the finalized mathematical proof, data visualization, and professional recommendation for the 2-hour summit.
Mathematical Proof
PHASE 1 & 2 SUMMARY
Transfer your key calculations from your work log here. This is the data you will use to defend your recommendation during the pitch.
Finding 1: Modeling Growth/Systems
Finding 2: Predictive Analysis/Area
Critical Result
What is the single most important number your math revealed? Explain why below.
Final Recommendation
EXECUTIVE SUMMARY
Executive Brief
Decision Outcome
Consultant Signature Required for Submission
Project Success Rubric Final Revised Project Success Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
WEEK PREP (Daily class): Scaffolding with Skill Missions. Path selection on Day 3. Phase 1 & 2 work log completed by Day 4.
2-HOUR FINAL BLOCK: Synthesis of data into the "Executive Pitch Portfolio". Drafting the final brief and formal submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Math Accuracy Zero errors in algebra. Formula steps fully detailed. 1-2 minor errors; logic and setup are correct. Multiple errors; incorrect formula logic. Proof Synthesis Summary in Pitch Pack perfectly mirrors Work Log data. Data summary is present and mostly accurate. Inconsistent data between log and final pitch. Executive Brief Recommendation uses 2+ specific math proofs to justify choice. Clear decision made with basic math evidence. Vague conclusion; lacks math-based proof. Portfolio Polish Immaculate presentation. Complete Career Pitch Pack. Legible and complete. Work log attached. Incomplete or disorganized final submission.
TEACHER SCORING KEY
Music: Intersection at 20 weeks (Artist A starts trailing). Break even: 30 vinyl units.
Urban: Area = x² + 14x + 40. Transit Hubs (n=36) = 187 total hubs.
Sports: Strong positive correlation. Predicted score for 50hrs ≈ 85-88 pts.
Check: Ensure (x+10)(x+4) is foil'd and not just added.
Executive Pitch Portfolio Handout Revised The Executive
Career Pitch
Summative Math Portfolio
Lead Consultant
Project Sector
This portfolio contains the finalized mathematical proof, data visualization, and professional recommendation for the 2-hour summit.
Mathematical Proof
PHASE 1 & 2 SUMMARY
Transfer your key calculations from your work log here. This is the evidence you will use to defend your recommendation.
Finding 1: Modeling Growth/Systems
Finding 2: Predictive Analysis/Area
Critical Result
What single number is most important? Explain why.
Final Recommendation
Executive Brief
Decision Outcome
Lead Consultant Signature
Project Success Rubric Final Pack Project Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
WEEK PREP (Daily): Scaffolding with Skill Missions. Path selection on Day 3. Phase 1 & 2 work completed by Day 4.
2-HOUR FINAL BLOCK: Synthesis of data into the "Executive Pitch Portfolio". Drafting brief and formal submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Math Accuracy Zero errors in algebra. Steps fully detailed. 1-2 minor errors; logic and setup are correct. Multiple errors; incorrect formula logic. Proof Synthesis Pitch Pack summary perfectly mirrors Work Log data. Data summary is mostly accurate. Inconsistent data across submission. Executive Brief Recommendation uses 2+ specific math proofs to justify. Clear decision with basic math evidence. Vague conclusion; lacks math proof. Portfolio Polish Immaculate presentation. Complete Pitch Pack. Legible and complete. Work log attached. Incomplete or disorganized submission.
TEACHER SCORING KEY
Music: Intersect at 20 weeks. Break even: 30 vinyl units.
Urban: Area = x² + 14x + 40. Hubs (n=36) = 187.
Sports: Strong positive correlation. Score (50hrs) ≈ 85-88 pts.
Note: Ensure students check for a₁ in sequences.
Project Mission Log Final Pack Mission Log
Weekly Preparation Log
Agent:
Path 1: Music Mogul
Phase 1: Streaming Systems
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl Break-Even
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion
Expand (x + 10)(x + 4). Draw the Area Model.
Phase 2: Transit Sequences
a₁ = 12, d = 5. Find a₃₆ using aₙ = a₁ + (n-1)d.
Path 3: Sports Analyst
Phase 2: Prediction
Estimate LOBF and predict score for 50 hrs.
Phase 1: Scatter Plot
Hours Training
Pts Scored
Ready for the Pitch?
Once your data log is complete, the 2-hour final block begins. You will receive your official Executive Career Pitch Pack to finalize your career decision and present your mathematical proof.
Executive Pitch Portfolio Handout Final The Executive
Career Pitch
Summative Math Portfolio
Lead Consultant
Project Sector
This portfolio contains the finalized mathematical proof, data visualization, and professional recommendation for the 2-hour summit.
Mathematical Proof
Evidence Log
Finding 1: Modeling Growth/Systems
Finding 2: Predictive Analysis/Area
Critical Result
Which data point is the absolute key to your recommendation? Explain why.
Career Recommendation
Formal Brief
Executive Pitch Statement
Final Decision / Outcome
Lead Consultant Signature
Project Success Rubric Final Pack Final Project Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
Week Prep: Daily scaffolding missions. Path selection Day 3. Phase 1 & 2 completed by Day 4.
Final Block: 2-hour synthesis into the "Executive Pitch Pack". Drafting brief and submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Math Accuracy Zero errors in algebra. Formula steps fully detailed. 1-2 minor errors; logic and setup are correct. Multiple errors; incorrect formula logic. Proof Synthesis Pitch Pack summary matches Work Log data perfectly. Data summary is present and mostly accurate. Inconsistent data across submission. Executive Brief Recommendation uses 2+ specific math proofs. Clear decision with basic math evidence. Vague conclusion; lacks math proof. Portfolio Polish Immaculate presentation. Complete Pitch Pack. Legible and complete. Work log attached. Incomplete or disorganized submission.
Teacher Scoring Key
Music Path: Intersect at 20 weeks. Break even: 30 vinyl units.
Urban Path: Area = x^2 + 14x + 40. Transit Hubs (n=36) = 187 total.
Sports Path: Strong positive correlation. Predicted score for 50hrs: ~85-88.
Formula Note: Ensure students used (n-1) correctly in sequences.
Project Mission Log Final Pack Final Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
A: 50k + 2k/wk vs B: 80k + 0.5k/wk
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (Foil)
Expand (x + 10)(x + 4). Show steps.
Phase 2: Transit (Arithmetic)
a(1) = 12, d = 5. Find a(36).
Path 3: Sports Analyst
Prediction
01020304050
020406080
Final block: 2 Hours
Complete your pitch using the Executive Career Pitch Pack once your log is finalized.
Project Mission Log Final Pack Final Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
a(1) = 12, d = 5. Find a(36) using formula.
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation and 50hr prediction:
Phase 1: Scatter Plot
0102030405060708090100
0102030405060708090100
Hours Training (x)
Points Scored (y)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your mathematical proof.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Project Sector
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which specific result is most important to your final decision? Explain why below.
The Final Pitch
Formal Recommendation
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Success Rubric Final Pack Final Project Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
Week Prep: Daily scaffolding missions. Path selection Day 3. Phase 1 & 2 completed by Day 4.
Final Block: 2-hour synthesis into the "Executive Pitch Pack". Drafting brief and submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Calculation Accuracy Zero errors in algebra. Formula steps fully detailed. 1-2 minor errors; logic and setup are correct. Multiple errors; incorrect formula logic. Data Matching Pitch Pack summary matches Work Log data perfectly. Data summary is present and mostly accurate. Inconsistent data across submission. The Final Pitch Decision uses 2+ specific calculation results to justify. Clear decision with basic math evidence. Vague conclusion; lacks data proof. Portfolio Polish Immaculate presentation. Complete Pitch Pack. Legible and complete. Work log attached. Incomplete or disorganized submission.
Teacher Scoring Key
Music Path: Intersect at 20 weeks. Break even: 30 vinyl units.
Urban Path: Area = x^2 + 14x + 40. Transit Hubs (n=36) = 187 total.
Sports Path: Strong positive correlation. Predicted score for 50hrs: ~85-88.
Logic Note: Check for proper (n-1) subscript logic in sequences.
Project Mission Slides Final Final Project Mission
MATH IN MOTION
Choose your path. Back up your decisions. Finalize the pitch.
Music Mogul
Manage a label roster. Use Systems and Linear Functions to find your edge.
1
Solve follower growth systems
2
Calculate unit break-even points
3
Pitch the winning tour strategy
The Challenge
"Which artist is the best investment? Back it up with your data log!"
The Challenge
"Design the city of the future. Show how your park fits the math!"
Urban Planner
Plan the infrastructure. Use Polynomials and Sequences for growth.
1
Calculate park area polynomials
2
Break down land zone sizes
3
Model transit expansion counts
Sports Analyst
Scout the next MVP. Use Correlation and Trend Lines to predict success.
1
Plot performance scatter charts
2
Find the strongest trend lines
3
Predict future points per game
The Challenge
"Who should the GM draft? Use your trend data to prove your pick!"
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation and 50hr prediction:
Phase 1: Scatter Plot
0102030405060708090100
0102030405060708090100
Hours Training (x)
Points Scored (y)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Project Sector
Selection:
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which specific result is most important to your final decision? Explain why below.
The Final Pitch
Formal Summary
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Estimated Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Project Mission Slides Final Final Project Mission
MATH IN MOTION
Choose your path. Back up your decisions. Finalize the pitch.
Music Mogul
Manage a label roster. Use Systems and Linear Functions to find your edge.
1
Solve follower growth systems
2
Calculate unit break-even points
3
Pitch the winning tour strategy
The Challenge
"Which artist is the best investment? Back it up with your data log!"
The Challenge
"Design the city of the future. Show how your park fits the math!"
Urban Planner
Plan the infrastructure. Use Polynomials and Sequences for growth.
1
Calculate park area polynomials
2
Break down land zone sizes
3
Model transit expansion counts
Sports Analyst
Scout the next MVP. Use Correlation and Trend Lines to predict success.
1
Plot performance scatter charts
2
Find the strongest trend lines
3
Predict future points per game
The Challenge
"Who should the GM draft? Back up your pick with your data log!"
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Project Sector
Path:
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which result is most important to your final decision? Explain why below.
The Final Pitch
Formal Summary
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Estimated Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Project Sector
Path:
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which result is most important to your final decision? Explain why below.
The Final Pitch
Formal Summary
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Project Sector
Path:
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which result is most important to your final decision? Explain why below.
The Final Pitch
Formal Summary
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Project Sector
Path:
This portfolio contains your finalized calculation evidence, data visuals, and professional decision for the 2-hour summit.
Evidence Log
Calculation Files
Fact Check 1: Systems & Growth
Fact Check 2: Predictions & Area
The Critical Number
Which result is most important to your final decision? Explain why below.
The Final Pitch
Formal Summary
Professional Decision Statement
Your Final Choice
Lead Consultant Signature
Project Mission Log Final Handout Mission Log
Preparation Phase
Agent:
Path 1: Music Mogul
Phase 1: Streaming (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl (Break-Even)
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion (FOIL)
Expand (x + 10)(x + 4). Show all steps below.
Phase 2: Transit (Arithmetic)
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete all calculations before the final block. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your calculation evidence.
Project Mission Log Final Handout Mission Log
Weekly Preparation Log
Agent:
Path 1: Music Mogul
Phase 1: Streaming Systems
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Vinyl Break-Even
P(x) = 25x - (8x + 500). Solve for P(x) = 0.
Path 2: Urban Planner
Phase 1: Area Expansion
Expand (x + 10)(x + 4). Show steps.
Phase 2: Transit Sequences
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete your work log first. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your evidence.
Project Mission Slides Final Professional Mission
CAREER CALLING
Real careers. Real math.
The Job Board
Which professional path will you choose?
Music Mogul
Manage growth and maximize profits using Systems & Sequences.
REVENUE STRATEGY
Urban Planner
Design city zones using the Box Method and Radicals.
CITY INFRASTRUCTURE
Sports Analyst
Predict player performance using Trend Lines and Data.
PERFORMANCE STATS
Music Mogul
Required Professional Skills:
1
Solve Systems to find listener tie-points
2
Use Sequences to predict ticket sales
3
Model Linear Profits for vinyl releases
Job Task
"At what week will your new artist reach more listeners than the current chart-topper?"
Job Task
"Design a safe park zone. Find the exact distance across the lot using simplified radicals."
Urban Planner
Required Professional Skills:
1
Multiply zone areas using the Box Method
2
Factor zones to find walkway dimensions
3
Simplify Radicals for exact diagonal measurements
Sports Analyst
Required Professional Skills:
1
Plot Data Sets of training vs points
2
Estimate Best Fit Lines to predict scores
3
Calculate Correlation Strength for the draft
Job Task
"Based on the trend data, will this rookie score at least 80 points in the final game?"
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order #1
Order 1: Listener Growth (Systems)
Compare Artist A (50k + 2k/wk) to Artist B (80k + 0.5k/wk). Set them equal and solve for the week they tie.
Order 2: Vinyl Profit (Linear)
Vinyl costs $8/unit + $500 setup. Sale price is $25/unit. Use P(x) = 25x - (8x + 500) to find units needed for zero profit (Break-Even).
Job Path: Urban Planner
Work Order #2
Order 1: Area Map (Box Method)
Expand the zone dimensions (x + 10) by (x + 4) using ONLY the Box Method . Find total area.
Order 2: Exact Measures (Radicals)
The walkway length is √128 feet . Simplify this radical to give the exact professional measurement.
Job Path: Sports Analyst
Work Order #3
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Write your line equation and 50hr result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the **Executive Career Pitch Pack** during the final block.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Name:
Professional Sector
Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Calculation Summary
Finding 1: Growth & Comparison Results
Transfer your final results from Order #1 here.
Finding 2: Predictive & Measurement Results
Transfer your final results from Order #2 here.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Slides Final Professional Mission
CAREER CALLING
Real careers. Real math.
The Job Board
Which professional path will you choose?
Music Mogul
Manage growth and maximize profits using Systems & Sequences.
REVENUE STRATEGY
Urban Planner
Design city zones using the Box Method and Radicals.
CITY INFRASTRUCTURE
Sports Analyst
Predict player performance using Trend Lines and Data.
PERFORMANCE STATS
Music Mogul
Required Professional Skills:
1
Solve Systems to find listener tie-points
2
Use Sequences to predict ticket sales
3
Model Linear Profits for vinyl releases
Job Task
"At what week will your new artist reach more listeners than the current chart-topper?"
Job Task
"Design a safe park zone. Find the exact distance across the lot using simplified radicals."
Urban Planner
Required Professional Skills:
1
Multiply zone areas using the Box Method
2
Factor zones to find walkway dimensions
3
Simplify Radicals for exact measurements
Sports Analyst
Required Professional Skills:
1
Plot Data Sets of training vs points
2
Estimate Best Fit Lines to predict scores
3
Calculate Correlation Strength for the draft
Job Task
"Based on the trend data, will this rookie score at least 80 points in the final game?"
Project Mission Log Final Handout Career Work Log
Professional Evidence Tracking
Consultant:
Music Mogul: Work Order
Phase 1: Streaming Growth (Systems)
Find when A (50k + 2k/wk) = B (80k + 0.5k/wk)
Phase 2: Merch Profit (Equations)
Profit = 25x - (8x + 500). Solve for $0 profit.
Urban Planner: Work Order
Phase 1: Area Expansion (Box Method Only)
Expand Area = (x + 10)(x + 4)
USE THE BOX METHOD GRID ABOVE
Phase 2: Transit Expansion (Sequences)
Start: 12 hubs. Add: 5/mo. Month 36?
Sports Analyst: Work Order
Training Hrs (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Find Best Fit & 50hr Predict:
Scouting Report: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
Ready for the 2-Hour Final?
Complete your calculation logs first. In the final block, you will pitch your professional recommendation based on the data evidence above.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Data Files
Calculation Summary 1: Growth & Systems
Calculation Summary 2: Predictions & Area
The Critical Number
Which calculation result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order #1
Order 1: Listener Growth (Systems)
Compare Artist A (50k + 2k/wk) to Artist B (80k + 0.5k/wk). Set them equal and solve for the week they tie.
Order 2: Vinyl Profit (Linear)
Vinyl costs $8/unit + $500 setup. Sale price is $25/unit. Find the Break-Even point (Units for zero profit).
Job Path: Urban Planner
Work Order #2
Order 1: Area Map (Box Method)
Expand the zone dimensions (x + 10) by (x + 4) using ONLY the Box Method . Find total area.
Order 2: Exact Measures (Radicals)
The lot diagonal measurement is √128 feet . Simplify this radical to provide the exact professional distance.
Job Path: Sports Analyst
Work Order #3
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Write your best fit equation and 50hr result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Name:
Professional Sector
Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer your results for Growth Points or Break-Even Units.
Work Order #2: Design & Measurements
Transfer your Box Method Area or Simplified Radical results.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Work Log
Professional Evidence Tracking
Consultant:
Music Mogul: Work Order
Phase 1: Streaming Systems
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk).
Phase 2: Vinyl Break-Even
Profit = 25x - (8x + 500). Solve for $0 profit.
Urban Planner: Work Order
Phase 1: Area Expansion (Box Method Only)
Expand Area = (x + 10)(x + 4)
Phase 2: Transit Expansion (Sequences)
Start: 12 hubs. Add: 5/mo. Find Month 36 hubs.
Sports Analyst: Work Order
Training Hrs (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Predict:
Scouting Report: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
Ready for the 2-Hour Final?
Complete your work log first. You will then receive the Career Pitch Portfolio to finalize your recommendation and present your evidence.
Executive Pitch Portfolio Final Handout The Career
Final Pitch
Professional Decision Portfolio
Lead Consultant
Name:
Project Sector
Path:
Submit your calculation work log with this portfolio to land the job offer.
Evidence Log
Calculation Summary
Calculation Set 1: Professional Growth
Calculation Set 2: Future Predictions
The Critical Number
Which result is most important for your pitch? Explain why below.
The Final Pitch
Formal Recommendation
Professional Recommendation Statement
Your Official Final Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Professional Work Orders | Weekly Prep
Lead Consultant:
Music Mogul: The Tour Decision
Task 1: Follower Growth (Systems)
Compare two artists: A: 50k + 2k/wk | B: 80k + 0.5k/wk
Work Area: Substitution or Elimination
Task 2: Vinyl Sales (Break-Even)
Setup: $500. Cost: $8/unit. Sale: $25/unit.
Work Area: Equation Solving
Urban Planner: City Expansion
Task 1: Park Block Area (Polynomials)
Expand: \((x + 10)\) by \((x + 4)\).
Work Area: FOIL or Box Method
Task 2: Bus Route Growth (Sequences)
Start: 12 hubs. Gains: 5/month. Month 36?
Work Area: Formula & Steps
Sports Analyst: Scout Report
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Find equation & predict score for 50 hrs.
Work Area
Phase 1: Scatter Plot Analysis
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete your Work Log first. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your evidence.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Calculation Files
Calculation Summary 1: Growth & Trends
Calculation Summary 2: Results & Predictions
The Critical Number
Which calculation result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Professional Work Orders | Weekly Prep
Lead Consultant:
Music Mogul: The Tour Decision
Task 1: Follower Growth (Systems)
Compare two artists: Artist A (50k + 2k/wk) vs Artist B (80k + 0.5k/wk).
Work Area: Substitution or Elimination
Task 2: Vinyl Sales (Break-Even)
Revenue is $25x. Cost is 8x + 500.
Work Area: Equation Solving
Urban Planner: City Expansion
Task 1: Park Block Area (Polynomials)
Calculate the area of a block: (x + 10) by (x + 4) .
Work Area: FOIL or Box Method
Task 2: Bus Route Growth (Sequences)
Start: 12 hubs. Add 5/month.
Work Area: Formula & Steps
Sports Analyst: Scout Report
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Find equation & predict score for 50 hrs.
Work Area
Phase 1: Scatter Plot Analysis
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Executive Pitch?
Finalize your work log first. You will then receive the Executive Career Pitch Pack to finalize your professional career recommendation.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Calculation Files
Calculation Summary 1: Growth & Trends
Calculation Summary 2: Results & Predictions
The Critical Number
Which calculation result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Professional Work Orders | Weekly Prep
Lead Consultant:
Music Mogul: The Tour Decision
Task 1: Follower Growth (Systems)
A: 50k + 2k/wk vs B: 80k + 0.5k/wk
Show Work Below
Task 2: Vinyl Sales (Linear)
P(x) = 25x - (8x + 500). Find break-even units.
Show Work Below
Urban Planner: City Expansion
Task 1: Park Block Area (Polynomials)
Expand (x + 10) by (x + 4) for total area.
Show Work Below
Task 2: Bus Route Growth (Sequences)
Start: 12. Gains: 5/month. Month 36?
Show Work Below
Sports Analyst: Scout Report
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Task 2: Prediction
Equation & 50hr predict:
Work Area
Phase 1: Scatter Plot Analysis
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Executive Pitch?
Finalize your work log first. You will then receive the Executive Career Pitch Portfolio to synthesize your calculations into a formal career recommendation.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Data Files
Calculation Summary 1: Growth & Trends
Calculation Summary 2: Results & Predictions
The Critical Number
Which result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Consultant Signature
Project Mission Log Final Handout Career Mission Log
Professional Work Orders | Weekly Prep
Lead Consultant:
Music Mogul: The Tour Decision
Task 1: Follower Growth (Systems)
A: 50k + 2k/wk vs B: 80k + 0.5k/wk
Show Steps & Solution
Task 2: Vinyl Sales (Linear)
P(x) = 25x - (8x + 500). Find break-even units.
Show Solving Work
Urban Planner: City Expansion
Task 1: Park Block Area (Polynomials)
Expand (x + 10) by (x + 4) for total area.
Show Area Model / FOIL
Task 2: Bus Route Growth (Sequences)
Start: 12. Gains: 5/month. Month 36?
Show Formula & Steps
Sports Analyst: Scout Report
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Task 2: Prediction Log
Find equation & predict for 50 hrs:
Work Area
Phase 1: Scatter Plot Analysis
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Executive Pitch?
Finalize your calculations first. During the 2-hour summit, you will receive the Executive Career Pitch Pack to finalize your career decision.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Calculation Files
Summary 1: Growth & Trends
Summary 2: Results & Predictions
The Critical Number
Which result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Choice
Consultant Signature
Project Mission Log Final Handout Career Mission Log
Professional Work Orders | Weekly Prep
Lead Consultant:
Music Mogul: Tour Bet
Growth (Systems)
A: 50k + 2k/wk vs B: 80k + 0.5k/wk
Steps & Solution
Sales (Linear)
P(x) = 25x - (8x + 500). Find units to break even.
Calculation Area
Urban Planner: Expansion
Area (Polynomials)
Expand (x + 10) by (x + 4) for total park area.
FOIL or Box Method
Growth (Sequences)
Start: 12 hubs. Gains: 5/month. Month 36?
Formula & Steps
Sports Analyst: Scout Report
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Task 2: Prediction
Best Fit equation & 50hr predict:
Work Area
Phase 1: Scatter Plot Analysis
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Executive Pitch?
Complete your Work Log findings first. During the 2-hour summit, you will synthesize these into your official Career Portfolio .
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Data Files
Summary 1: Growth & Trends
Summary 2: Results & Predictions
The Critical Number
Which result is the key to your career decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order #1
Order 1: Listener Growth (Systems)
Compare Artist A (50k + 2k/wk) to Artist B (80k + 0.5k/wk). Set them equal and solve for the week they tie.
Order 2: Vinyl Profit (Linear)
Vinyl costs $8/unit + $500 setup. Sale price is $25/unit. Find the Break-Even point (Units for zero profit).
Job Path: Urban Planner
Work Order #2
Order 1: Area Map (Box Method)
Expand dimensions (x + 10) by (x + 4) using ONLY the Box Method . Find total area.
Order 2: Exact Measures (Radicals)
The lot diagonal measurement is √128 feet . Simplify this radical to provide the exact professional distance.
Job Path: Sports Analyst
Work Order #3
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Write your best fit equation and 50hr result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout The Executive
Career Pitch
Final Project Portfolio
Lead Consultant
Name:
Career Sector
Selection:
Professional Report Summary.
Evidence Log
Data Files
Summary 1: Growth & Trends
Summary 2: Results & Predictions
The Critical Number
Which result is the key to your decision? Explain why below.
The Final Pitch
Professional Summary
Executive Recommendation Statement
Your Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
P(x) = 25x - (8x + 500). Solve for Break-Even (P=0).
Job Path: Urban Planner
Work Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Work Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation and 50hr prediction:
Phase 1: Performance Plot
0102030405060708090100
Points Scored
0102030405060708090100
Hours Training
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer your results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer your Box Method Area or Simplified Radical results below.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer your results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer your Box Method Area or Simplified Radical results below.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
P(x) = 25x - (8x + 500). Solve for Break-Even (P=0).
Job Path: Urban Planner
Work Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Work Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation and 50hr prediction:
Phase 1: Performance Plot
0102030405060708090100
Points Scored
0102030405060708090100
Hours Training
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Project Success Rubric Final Pack Final Project Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
Week Prep: Daily scaffolding missions. Path selection Day 3. Phase 1 & 2 completed by Day 4.
Final Block: 2-hour synthesis into the "Executive Pitch Pack". Drafting brief and submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Calculation Accuracy Zero errors in algebra. Formula steps fully detailed. 1-2 minor errors; logic and setup are correct. Multiple errors; incorrect formula logic. Data Matching Pitch summary matches Work Log data perfectly. Data summary is present and mostly accurate. Inconsistent data across submission. The Final Pitch Decision uses 2+ specific calculation results to justify. Clear decision with basic data evidence. Vague conclusion; lacks data proof. Portfolio Polish Immaculate presentation. Complete Career Pitch Portfolio. Legible and complete. Work log attached. Incomplete or disorganized submission.
Teacher Scoring Key
Music Path: Intersect at 20 weeks. Break even: 30 vinyl units.
Urban Path: Area = x^2 + 14x + 40. Transit Hubs (n=36) = 187 total.
Sports Path: Strong positive correlation. Predicted score for 50hrs: ~85-88.
Method Note: Urban Phase 1 must use the Box Method for full points.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Name:
Professional Sector
Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Summary Results
Work Order #1: Comparison & Systems
Transfer your results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer your Box Method Area or Simplified Radical results below.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Work Log
Professional Evidence Tracking
Consultant:
Path 1: Music Mogul
Phase 1: Streaming Systems
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk).
Phase 2: Vinyl Break-Even
Profit = 25x - (8x + 500). Solve for $0 profit.
Path 2: Urban Planner
Phase 1: Area Expansion
Expand (x + 10)(x + 4). Show steps.
Phase 2: Transit Sequences
Start: 12 hubs. Gains: 5/month. Month 36?
Path 3: Sports Analyst
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the 2-Hour Final?
Complete your work log first. You will then receive the Executive Career Pitch Pack to finalize your career decision and present your evidence.
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
P(x) = 25x - (8x + 500). Solve for Break-Even (P=0).
Job Path: Urban Planner
Work Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Work Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored
0102030405060708090100
Hours Training
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout The Career
Final Pitch
Professional Decision Portfolio
Lead Consultant
Name:
Project Sector
Choice:
Submit your calculation work log with this portfolio to land the job offer.
Evidence Log
Calculation Summary
Calculation Summary: Phase 1 Evidence
Calculation Summary: Phase 2 Evidence
The Critical Number
Which result is most important for your pitch? Explain why below.
The Final Pitch
Formal Recommendation
Executive Briefing Statement
Official Decision Outcome
Consultant Signature
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your calculation evidence from the week into a final pitch.
Evidence Log
Summary Results
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which single calculation is the absolute key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee Name:
Job Path: Music Mogul
Work Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
P(x) = 25x - (8x + 500). Solve for Break-Even (P=0).
Job Path: Urban Planner
Work Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Work Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Hours Training (x)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Project Mission Log Final Handout Career Work Log
Integrated Summative Phase 1 & 2
Consultant Name:
Music Mogul: Streaming & Merch
Growth Systems
Artist A (50k + 2k/wk) vs Artist B (80k + 0.5k/wk). Find when counts match.
Merch Calculations
Vinyl Profit = 25x - (8x + 500). Solve for break-even ($0 profit).
Urban Planner: City Design
Phase 1: Box Method Expansion
Expand Community Garden Area: (x + 10) by (x + 4)
Show partial products in the boxes
Phase 2: Growth Sequence
City adds 5 bus hubs every month. Starting at 12 hubs, find hubs in Month 36.
Sports Analyst: Stat Report
Hours Training (x) Final Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Find Best Fit Line & Predict for 50hrs.
Scouting Performance: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
The Final Block
Complete your calculation logs first. In the final block, you will receive your official Executive Career Portfolio to finalize your decision and present your evidence.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your evidence into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Executive Pitch Portfolio Final Handout The Career
Final Pitch
Professional Decision Portfolio
Lead Consultant
Name:
Project Choice
Career Path:
Ex: Music Mogul, Urban Planner, Sports Analyst
Submit your calculation work logs with this portfolio to finalize your official professional decision.
Evidence Log
Final Data Summary
Calculation Set 1: Systems & Growth
Transfer your results here
Calculation Set 2: Predictions & Area
Transfer your results here
The Critical Number
Which calculation result is most important for your pitch? Explain why below.
The Final Pitch
Formal Recommendation
Professional Briefing Statement
Official Decision Outcome
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee:
Job Path: Music Mogul
Order 01
Streaming Growth (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. Set them equal and solve for the week they tie.
Vinyl Target (Linear)
Vinyl: $8 cost, $25 sale, $500 setup. Solve for units needed to break even.
Job Path: Urban Planner
Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Best Fit Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (Y)
0102030405060708090100
Hours Training (X)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Project Mission Log Final Handout Career Work Log
Summative Phase 1 & 2
Consultant Name:
Music Mogul: Streaming & Merch
Growth Systems
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk).
Merch Calculations
Vinyl Profit = 25x - (8x + 500). Solve for break-even ($0 profit).
Urban Planner: City Design
Phase 1: Box Method Expansion
Expand Community Garden Area: (x + 10) by (x + 4)
Show partial products in boxes
Phase 2: Growth Sequence
City adds 5 hubs every month. Starting at 12 hubs, find hubs in Month 36.
Sports Analyst: Stat Report
Hours (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Find Best Fit Line & Predict for 50hrs.
Scouting Performance: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
The Final Block
Complete your work log this week. In the 2-hour final block, you will synthesize this data into your official Career Portfolio to land the job offer.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your week's findings into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Executive Pitch Portfolio Final Handout The Career
Final Pitch
Professional Decision Portfolio
Lead Consultant
Name:
Project Choice
Career Path:
Ex: Music Mogul, Urban Planner, Sports Analyst
Submit your calculation work logs with this portfolio to finalize your official professional decision.
Evidence Log
Final Data Summary
Calculation Set 1: Professional Growth
Transfer your results from Phase 1 here
Calculation Set 2: Future Predictions
Transfer your results from Phase 2 here
The Critical Number
Which calculation result is most important for your pitch? Explain why below.
The Final Pitch
Formal Recommendation
Professional Briefing Statement
Official Decision Outcome
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee:
Job Path: Music Mogul
Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
P(x) = 25x - (8x + 500). Solve for Break-Even (P=0).
Job Path: Urban Planner
Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Best Fit Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (Y)
0102030405060708090100
Hours Training (X)
Ready for the Pitch?
Complete your work orders first. Next, synthesize your evidence into the official Executive Career Pitch Pack during the final block.
Project Mission Log Final Handout Career Work Log
Final Project Preparation Phase
Consultant Name:
Music Mogul: Work Orders
1. Streaming Growth System
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk).
2. Merch Break-Even Equation
Vinyl Profit = 25x - (8x + 500). Solve for $0 profit.
Urban Planner: Work Orders
1. Garden Area (Box Method Only)
Area = (x + 10)(x + 4). Show box and expansion.
Box Method Grid
2. Transit Expansion Sequence
Start: 12 hubs. Gains: 5/month. Total Month 36?
Sports Analyst: Stat Report
Hours (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Find Best Fit Line & Predict for 50hrs.
Scouting Performance: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
The Final Block
Land the job offer! After completing these work orders, you will present your evidence in your official Career Pitch Portfolio .
Executive Pitch Portfolio Final Handout The Career
Final Pitch
Professional Decision Portfolio
Select your path: Music Mogul, Urban Planner, or Sports Analyst.
Lead Consultant
Name:
Project Choice
Career Path:
Submit your calculation work logs with this portfolio to finalize your official professional decision.
Evidence Log
Calculation Summary
Calculation Result: Growth Models
Calculation Result: Future Trends
The Critical Number
Which calculation result is most important for your pitch? Explain why below.
The Final Pitch
Executive Summary
Official Professional Briefing
Official Decision Result
Consultant Signature
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your findings into a final career pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee:
Job Path: Music Mogul
Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
Vinyl: $8 cost, $25 sale, $500 setup. Solve for units needed to break even.
Job Path: Urban Planner
Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
x
+10
x
+4
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Best Fit Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (Y)
0102030405060708090100
Hours Training (X)
Ready for the Pitch?
Complete your work orders first. Next, synthesize your evidence into the official Executive Career Pitch Pack during the final block.
Project Success Rubric Final Pack Final Project Rubric
Integrated Summative Assessment
100 POINTS
Implementation Schedule
Week Prep: Scaffolding missions. Path selection Day 3. Work Orders completed by Day 4.
Final Block: 2-hour synthesis into the "Executive Pitch Portfolio". Drafting brief and submission.
Criterion Exceeds (25) Meets (20) Emerging (10) Calculation Accuracy Zero errors in algebra. Work Order steps fully detailed in the log. 1-2 minor errors; general logic and setup are correct. Multiple errors; incorrect formula logic. Data Matching Portfolio summary results match the Work Log data perfectly. Data summary is present and mostly accurate. Inconsistent data between log and portfolio. The Final Pitch Decision uses 2+ specific calculation results to justify the choice. Clear decision with basic data evidence. Vague conclusion; lacks data proof. Portfolio Polish Immaculate presentation. Complete Executive Pitch Portfolio. Legible and complete. Work log attached. Incomplete or disorganized submission.
Teacher Scoring Key
Music Path: Intersect at 20 weeks. Break even: 30 vinyl units.
Urban Path: Area = x^2 + 14x + 40. Transit Hubs (n=36) = 187 total.
Sports Path: Strong positive correlation. Predicted score for 50hrs: ~85-88.
Logic Note: Urban Phase 1 must use the Box Method for full credit.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Employee Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your findings into a final pitch.
Evidence Log
Calculation Summary
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Project Mission Log Final Handout Career Work Log
Final Project Preparation Phase
Consultant Name:
Music Mogul: Work Orders
1. Streaming Growth System
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk). Show steps.
2. Merch Break-Even Equation
Profit = 25x - (8x + 500). Solve for break-even ($0 profit) and show steps.
Urban Planner: Work Orders
1. Garden Area (Box Method Only)
Area = (x + 10)(x + 4). Draw the grid and expansion steps.
2. Transit Expansion Sequence
Start: 12 hubs. Gains: 5/month. Total hubs at Month 36?
Sports Analyst: Stat Report
Hours (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Find Best Fit Line & Predict result for 50hrs.
Scouting Performance: Scatter Plot
0102030405060708090100
Points Scored (y)
0102030405060708090100
Training Hours (x)
The Final Block
Complete your work log this week. In the 2-hour final block, you will present your Executive Pitch Portfolio to landed the job!
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee:
Job Path: Music Mogul
Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. Set them equal and solve for the week they tie.
Vinyl Target (Linear)
Vinyl: $8 cost, $25 sale, $500 setup. Solve for units needed to break even.
Job Path: Urban Planner
Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
x
+10
x
+4
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Best Fit Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (Y)
0102030405060708090100
Hours Training (X)
Ready for the Pitch?
Complete your work orders first. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Professional Decision Summit
Selected Professional Path:
Music Mogul • Urban Planner • Sports Analyst
Lead Consultant
Full Name:
Project Sector
Career Selection:
Submit your calculation work logs with this portfolio to finalize your official professional decision.
Evidence Log
Final Data Summary
Calculation Summary: Systems & Growth
Transfer your finalized calculations here
Calculation Summary: Predictions & Area
Transfer your finalized calculations here
The Critical Result
Which calculation is the most vital for your decision? Explain why below.
The Final Pitch
Formal Recommendation
Professional Briefing Statement
Official Decision Outcome
Consultant Signature
Project Mission Log Final Handout Career Work Log
Preparation Work Orders
Consultant Name:
Music Mogul: Streaming & Merch
1. Growth System
Find when Artist A (50k + 2k/wk) = Artist B (80k + 0.5k/wk).
2. Merch Break-Even
Vinyl Profit = 25x - (8x + 500). Solve for break-even.
Urban Planner: City Design
1. Expansion (Box Method Only)
Expand Garden Area: (x + 10)(x + 4).
2. Transit Sequence
Start: 12 hubs. Add: 5/mo. Month 36?
Sports Analyst: Stat Report
Hrs (x) Score (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Predict:
020406080100
020406080100
Training Hours (x)
Points Scored (y)
Weekly Deadline
Finalize your work orders by Friday. In the 2-hour final block, you will present your evidence in the official Career Portfolio .
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Name:
Professional Sector
Chosen Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your findings into a final pitch.
Evidence Log
Summary Results
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Executive Pitch Portfolio Final Handout The Career
Final Portfolio
Professional Decision Summit
Career Paths:
Music Mogul • Urban Planner • Sports Analyst
Lead Consultant
Full Name:
Job Sector
Selection:
LAND THE JOB OFFER.
Evidence Log
Data Summary
Calculation Results: Professional Growth
Calculation Results: Future Predictions
The Critical Number
Which result is most important for your pitch? Why?
The Final Pitch
Executive Brief
Professional Briefing Statement
Official Decision Outcome
Consultant Signature
Project Mission Log Final Handout Career Mission Log
Official Work Orders: Preparation Phase
Employee:
Job Path: Music Mogul
Order 01
Growth Compare (Systems)
Artist A: 50k + 2k/wk. Artist B: 80k + 0.5k/wk. At which week do they tie?
Vinyl Target (Linear)
Vinyl: $8 cost, $25 sale, $500 setup. Solve for units needed to break even.
Job Path: Urban Planner
Order 02
Area Layout (Box Method)
Expand (x + 10) by (x + 4) using the Box Method .
x
+10
x
+4
Exact Measures (Radicals)
Simplify √128 feet for the park lot diagonal.
Job Path: Sports Analyst
Order 03
Hrs (x) Pts (y) 10 15 20 32 30 50 40 68
Prediction Log
Equation & 50hr Result:
Phase 1: Performance Plot
0102030405060708090100
Points Scored (Y)
0102030405060708090100
Hours Training (X)
Ready for the Pitch?
Complete your work orders. Next, synthesize your calculation evidence into the official Executive Career Pitch Pack during the final block.
Executive Pitch Portfolio Final Handout Executive
Pitch Portfolio
Final Project Synthesis
Lead Consultant
Name:
Professional Sector
Path:
"Professional decisions require professional evidence."
During this 2-hour summit, you will synthesize your findings into a final pitch.
Evidence Log
Summary Results
Work Order #1: Comparison & Systems
Transfer results for Growth Points or Break-Even Units below.
Work Order #2: Design & Measurements
Transfer Box Method Area or Simplified Radical results below.
The Critical Number
Which calculation is the key to your recommendation? Explain why.
The Final Pitch
Formal Brief
Professional Decision Statement
Final Career Decision
Lead Consultant Signature
Foundation Missions Part 1 Final Summit Skill Warmup
Simulation Phase 01 • 120-Minute Simulator Readiness
Consultant:
Level 01
Mission: Linear Modeling Prep
1. Write in \(y = mx + b\) form:
A. Rate (m) = 4, Start (b) = 12
B. Rate (m) = -0.5, Start (b) = 100
2. Solve for y (Isolate the Variable):
Equation: \(3x + y = 15\)
3. Find slope from two points:
Formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Points: (2, 5) and (4, 13)
Consultant Rule
"Every line needs a starting value and a consistent rate of growth."
Level 02
Mission: Intersection Analysis (Systems)
1. Substitution Drill
\(y = 3x - 4\)
Step-by-Step Solve Area:
2. Elimination Drill
\(4x + 2y = 20\)
Add the equations vertically:
6x = ______
x = ______ | y = ______
Level 03
Mission: Predictive Sequences
1. Arithmetic Progressions (Add)
Find Term 25 (\(a_{25}\)): 10, 15, 20, 25...
Result = ______
2. Arithmetic Logic
Write explicit eq: \(a_1 = 50\), common diff = -2.
3. Geometric Progressions (Multiply)
Find Term 6 (\(a_{6}\)): 2, 6, 18, 54...
Result = ______
4. Geometric Logic
Identify common ratio (r): 1000, 200, 40...
Level 04
Mission: Rocket Path Mastery (Quadratics)
The Quadratic Formula
Solve for \(x\) using: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
1. \(x^{2} + 5x + 6 = 0\)
Show Quadratic steps
2. \(2x^{2} - 4x - 6 = 0\)
Show Quadratic steps
3. Identifying A, B, C
\(h(t) = -5t^2 + 20t + 25\)
a
-5
b
?
c
?
4. Factoring Logic
Factor the area: \(x^2 + 8x + 12\)
(x + ____ )(x + ____)
Level 05
Mission: Trend Detective (Data Plotting)
Performance Table
Foundation Missions Worksheet Part 1 Skill Mission: Linear Logic
Focus: Solving Equations & Systems of Equations
Name:
Date:
Target 1: The Break-Even Point
A local T-shirt company charges a flat design fee of $45 plus $12 per shirt. Another company charges $15 per shirt with no design fee. Write and solve an equation to find how many shirts must be ordered for the cost to be the same.
Equation Setup
Solving Steps
At what number of shirts do the costs equal out? Show your final answer below.
Target 2: Supply & Demand
A food truck sells tacos for $3 and burritos for $7. On Tuesday, they sold a total of 120 items and made $560. Use a system of equations to find how many of each item they sold.
Equation 1 (Total Items)
Equation 2 (Total Money)
Show Your Work (Substitution or Elimination)
Tacos Sold
Burritos Sold
Skill Mission: Pattern Pro
Focus: Arithmetic & Geometric Sequences
Mission 1: The Training Plan
An athlete starts a training program running 2 miles on Day 1. Each day, they add 0.5 miles to their run.
First Term (\(a_1\))
Common Diff (\(d\))
Type
Arithmetic
Write the Explicit Formula: \(a_n = a_1 + (n-1)d\)
How many miles will they run on Day 20?
Mission 2: Viral Growth
A video starts with 100 views on Hour 1. Each hour, the number of views triples.
First Term (\(a_1\))
Common Ratio (\(r\))
Type
Geometric
Write the Explicit Formula: \(a_n = a_1 \cdot r^{(n-1)}\)
How many views will the video have at Hour 6?
Foundation Missions Worksheet Part 2 Skill Mission: Trend Tracker
Focus: Line of Best Fit & Correlation
Name:
Mission: Sleep vs. Test Scores
A researcher collected data on the number of hours students slept the night before a math test and their resulting scores.
Hours (x) Score (y) 4 65 5 70 6 82 7 88 8 95
Hours of Sleep
Test Score
Sketch a scatter plot and draw a line of best fit above.
Correlation Type
Positive
Negative
None
Estimate the Equation (\(y = mx + b\))
Prediction: If a student sleeps 9 hours, what score do you predict? Show work using your equation.
Skill Mission: Expansion Expert
Focus: Multiplying Binomials & Factoring Trinomials
Mission 1: The Garden Expansion
A square garden has sides of length \(x\). You increase the length by 5 feet and the width by 3 feet. Find the area of the new garden in terms of \(x\).
Area Model (Draw & Label)
Setup: \((x + 5)(x + 3)\)
Final Expanded Form
Mission 2: Reversing the Expansion
Factor the following trinomials back into two binomials. Remember to look for numbers that multiply to the constant and add to the middle term!
\(x^2 + 8x + 12\)
Multiply to:
12
Add to:
8
Factors: (x + __)(x + __)
\(x^2 - 5x + 6\)
Multiply to:
6
Add to:
-5
Factors: (x - __)(x - __)
Foundation Missions Part 2 Final Level 03
Mission: Pattern Prediction (Sequences)
Arithmetic Drills
1. Find Term 10 (\(a_{10}\)):
Result = ______
Geometric Drills
2. Find Term 5 (\(a_5\)):
Result = ______
Level 04
Mission: Rocket Readiness (Quadratics)
1. Identify Flight Values (a, b, c)
\(h(t) = -5t^2 + 20t + 25\)
a-5
b?
c?
2. Distribution Proof
Factor Retrieval Zone:
(x + __)(x + __)
Level 05
Mission: Trend Detective (Data Plotting)
Reference Table
X Units Y Score 2 5 4 10 6 15 8 20 10 ?
0246810
0510152025
Prediction Rule
Extend the trend.
y = ______
Correlation Status
Strong Positive
Skills Certified
Linear, Systems, Sequences, Quadratics, & Trends Verified.Proceed to the Career Summit. Choose your path. Land the offer!
Foundation Missions Worksheet Part 1 Revised Skill Mission: Linear Logic
Focus: Solving Equations & Systems of Equations
Name:
Date:
Target 1: The Break-Even Point
A local T-shirt company charges a flat design fee of $45 plus $12 per shirt. Another company charges $15 per shirt with no design fee. Write and solve an equation to find how many shirts (\(x\)) must be ordered for the cost to be the same.
Equation Setup
Solving Steps
Number of shirts for equal cost:
Target 2: Food Truck Supply
A food truck sells tacos (\(t\)) for $3 and burritos (\(b\)) for $7. On Tuesday, they sold a total of 120 items and made $560.
Equation 1 (Total Items)
Equation 2 (Total Money)
Show Your Work (Substitution or Elimination)
Tacos Sold
Burritos Sold
Skill Mission: Pattern Pro
Focus: Arithmetic & Geometric Sequences
Mission 1: The Training Plan
An athlete runs 2 miles on Day 1. Each day, they add 0.5 miles to their run.
First Term (\(a_1\))
Common Diff (\(d\))
Sequence Type ARITHMETIC
Write the Explicit Formula: \(a_n = a_1 + (n-1)d\)
How many miles will they run on Day 20? (Show steps)
Mission 2: Viral Growth
A video starts with 100 views on Hour 1. Each hour, the number of views triples (\(\times 3\)).
First Term (\(a_1\))
Common Ratio (\(r\))
Sequence Type GEOMETRIC
Write the Explicit Formula: \(a_n = a_1 \cdot r^{n-1}\)
How many views will the video have at Hour 6? (Show steps)
Foundation Missions Worksheet Part 2 Revised Skill Mission: Trend Tracker
Focus: Line of Best Fit & Correlation
Name:
Mission: Sleep vs. Test Scores
Plot the data from the table onto the graph. Draw a line of best fit that passes through the middle of the points.
Hours (x) Score (y) 4 65 5 72 6 80 7 88 8 94
0246810
Hours of Sleep
020406080100
Test Score
Correlation Type
Positive
Negative
Estimate Equation (\(y = mx + b\))
y = _______x + _______
Prediction Mission
If a student sleeps 9 hours, what score do you predict? Show your work using your estimated equation.
Skill Mission: Expansion Expert
Focus: Multiplying Binomials & Factoring Trinomials
Mission 1: The Garden Expansion
A square garden has sides of length \(x\). You increase the length by 5 feet and the width by 3 feet. Find the area of the new garden (\(A = L \cdot W\)).
Area Model Grid (Draw & Label)
Setup: \((x + 5)(x + 3)\)
FOIL / Box Steps...
Final Expanded Area (\(x^2 + \dots\))
Mission 2: Reversing the Expansion
Factor the trinomials back into two binomials. Use the "Multiply-Add" strategy.
\(x^2 + 8x + 12\)
Multiply to: 12
Add to: 8
(x + ____)(x + ____)
\(x^2 - 5x + 6\)
Multiply to: 6
Add to: -5
(x - ____)(x - ____)
Summit Prep Packet CAREER SIMULATION READINESS
Summit Prep Packet
LEVEL 1 CLEARANCE
Student Consultant ____________________
Submission Date ____________________
Consulting Block ____________________
Evaluator Sign-Off ____________________
Official Briefing: Skill Certification
Before deploying to the Career Summit floor to manage client contracts, you must certify your core analytical mechanics. Complete the repeated practice problems below to secure your consulting license.
Skill Mission 1: Systems & Optimization (Music Mogul Prep)
Record labels optimize distribution costs. Solve each promotional system algebraically to find the break-even streams x (thousands) and equilibrium cost y (USD).
Scenario 1.1: Campaign A vs. Campaign B
A: y = 2x + 12 | B: y = 4x + 4
Calculations:
Streams x: _______
Cost y: _______
Scenario 1.2: Campaign C vs. Campaign D
C: y = 3x + 10 | D: y = 5x + 4
Calculations:
Streams x: _______
Cost y: _______
Scenario 1.3: Campaign E vs. Campaign F
E: y = x + 15 | F: y = 3x + 3
Calculations:
Streams x: _______
Cost y: _______
Scenario 1.4: Campaign G vs. Campaign H
G: y = 4x + 12 | H: y = 8x + 4
Calculations:
Streams x: _______
Cost y: _______
Scenario 1.5: Campaign I vs. Campaign J
I: y = 5x + 15 | J: y = 10x + 5
Calculations:
Streams x: _______
Cost y: _______
Lead Consultant Certification Page 1 of 6
SUMMIT PREP PACKET Sector Skill 2 | Area Expansion
Skill Mission 2: Area Model Expansion (Urban Planner Prep)
Urban planners must construct structural layout profiles. Solve these 6 repeated area model boundary expansion problems using the Box Method.
Lot A Boundary: (x + 5)(x + 3)
x +5
x +3
A(x) = _______________________
Lot B Boundary: (x + 4)(x + 2)
x +4
x +2
A(x) = _______________________
Lot C Boundary: (x + 6)(x + 1)
x +6
x +1
A(x) = _______________________
Lot D Boundary: (x + 3)(x + 3)
x +3
x +3
A(x) = _______________________
Lot E Boundary: (x + 7)(x + 2)
Summit Reference Sheet LEAD CONSULTANT TOOLKIT
Summit Reference Sheet
ANALYTICAL CHEAT SHEET
Use this single-page master guide during the Career Summit simulation to verify calculations, reference formulas, and ensure consulting accuracy across all 4 professional tracks.
1. Systems of Equations
Set \( C_1 = C_2 \) and solve for \( x \)
Step 1: Substitute the cost formulas to form a single linear equation:
Step 2: Solve for streams \( x \), then substitute \( x \) back to solve for final equilibrium cost \( C \).
Break-Even: Streams (\( x \)) & Cost (\( C \)) match.
2. Area Model Expansion
Multiply side dimension binomials using a 2x2 grid area layout:
\( x \) \( +a \)
\( x \) \( +b \)
\( x^2 \)
\( ax \)
\( bx \)
\( ab \)
Combine: \( A(x) = x^2 + (a+b)x + ab \)
Box Method: Solves Area \( (x+a)(x+b) \)
3. Trinomial Factoring
Deconstruct area equations \( x^2 + Bx + C \) into factored dimensions \( (x+p)(x+q) \).
Prod: \( C \) Sum: \( B \) \( p \) \( q \)
Find factors: \( p \cdot q = C \) and \( p + q = B \)
Factoring: Finds original side dimensions.
4. Sequence Telemetry
Arithmetic (Linear Growth): \( a_n = a_1 + (n-1)d \)
Geometric (Exponential Scale): \( g_n = g_1 \cdot r^{n-1} \)
Staging Predictor: Determines pressure intervals.
5. Trajectory Peaks
For rocket trajectory path \( y = -x^2 + Bx \), identify the flight peak (vertex):
Peak Distance: \( x = -\frac{B}{2a} \)
Substitute \( x \) back to solve for peak altitude \( y(x) \).
Max Trajectory Peak: Vertex \( (x, y) \) coordinates.
6. Trend lines & Correlation
Trend Equation: \( y = mx + b \)
Positive Correlation: As \( x \) increases, \( y \) increases. Points slope upward.Negative Correlation: As \( x \) increases, \( y \) decreases. Points slope downward.No Correlation: Points scattered randomly. No visible trend direction.
Predictive Analysis: Maps athletic capability.
Consultant Analytical Readiness Code
This document serves as an authorized consultant's analytical framework during the Career Summit simulation block. All diagnostic plots, binomial lots, propulsion schedules, and linear systems must align to these established mathematical laws.
