Structured learning paths

Rigorous, university-style quantitative tracks built from the same open lesson library. This is not an accredited degree program; it is a transparent map of outcomes, phase gates, and assessment types you can pair with independent study, tutoring, or institutional partnerships.

Open lesson library Algebra Unit 1 alignment pack

Algebra Foundations For Baseball Analytics

Outcomes

- Translate baseball planning questions into unit-safe expressions and equations.
- Solve and rearrange linear relationships with verification and feasibility checks.
- Document QA habits (bounds, estimation, substitution) for staff-facing outputs.

Prerequisites

Arithmetic fluency | Basic algebra | Reading box scores / Statcast fields

Rolling Mastery Path

Phase 1: Linear Expressions, Equations, And Constraints

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Variables, Units, And Baseball Quantities Solving One-Step And Multi-Step Equations Reliably Inequalities For Performance Threshold Questions Rearranging Formulas Used In Baseball Metrics Algebra Error Checking And Sanity Bounds

Phase 2: Functions And Representations

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Function Notation Through Baseball Input-Output Stories Domain, Range, And Physical Plausibility Linear Functions And Rate Interpretations Piecewise Models For Regime-Based Baseball Behavior Composing Functions In Modeling Pipelines

Phase 3: Systems And Modeling Structure

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Two-Equation Systems From Baseball Scenario Constraints Substitution Vs Elimination Strategy Selection Interpreting Intersections As Feasible States Matrix Form For Small Linear Systems Algebra Foundations Synthesis Workshop

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Checkpoint quizzes in lessons
- Summative rubric drafts (Unit 1 alignment pack)
- Instructor-reviewed memo (pathway B)

Geometry Foundations For Baseball Context

Outcomes

- Model field and flight geometry with coordinates, distances, and angles.
- Apply triangle and circle geometry to measurement and scaling problems.
- Justify geometric claims with explicit assumptions tied to baseball context.

Prerequisites

Algebra I | Coordinate plotting | Intro triangle relationships

Rolling Mastery Path

Phase 1: Coordinate Geometry Essentials

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Coordinate Systems For Baseball Fields Distance Formula And Baseline Measurement Midpoints, Segments, And Position Landmarks Slope As Directional Change In Field Context Line Equations For Defensive Alignment Paths

Phase 2: Angles, Triangles, And Measurement

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Angle Measure Conventions For Motion Analysis Triangle Similarity In Camera And Field Scaling Right Triangle Geometry For Component Thinking Law Of Sines And Law Of Cosines In Stadium Problems Geometric Proof Mindset For Model Trust

Phase 3: Circles, Arcs, And Curvature

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Circle Equations And Radial Interpretations Arc Length, Curvature, And Outfield Wall Geometry Sector Area And Angular Coverage Chord Vs Arc Interpretation Pitfalls Geometry Foundations Synthesis Lab

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Construction exercises
- Short proof/justification prompts
- Applied geometry lab

Trigonometry And Precalculus For Baseball Modeling

Outcomes

- Use trig and vector tools to decompose motion and orientation in baseball models.
- Interpret periodic and transformed functions as signals in athletic performance data.
- Prepare for calculus-style rate and optimization reasoning in applied settings.

Prerequisites

Geometry essentials | Algebra II | Function notation

Rolling Mastery Path

Phase 1: Trigonometric Core Concepts

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Phase 2: Functions, Transformations, And Signals

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Phase Shift And Periodicity In Baseball Motion Signals Amplitude, Frequency, And Signal Interpretation Polar, Cartesian, And Spherical Coordinate Conversions Function Transformations And Model Calibration Precalculus Signal Synthesis Workshop

Phase 3: Vectors And Optimization Preparation

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Dot Product, Projection, And Directional Influence Cross Product Intuition For Spin And Orientation Angle Optimization Under Physical Constraints Error Propagation In Trig-Based Calculations Precalculus Capstone: From Angle To Decision

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Trig identity checks
- Vector decomposition tasks
- Modeling worksheet

Calculus I And II For Baseball Dynamics

Outcomes

- Compute and interpret derivatives and integrals for motion and accumulation questions.
- Apply optimization and related rates to constrained baseball decisions.
- Connect numerical methods to real data when closed forms are unavailable.

Prerequisites

Precalculus / trig | Limits intuition | Intro to derivatives recommended

Rolling Mastery Path

Phase 1: Limits, Continuity, And Derivatives

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Limits As Trend Questions In Baseball Motion Continuity And Model Breakpoint Detection Derivative As Instantaneous Rate Of Change Product, Quotient, And Chain Rules In Practice Implicit Differentiation For Coupled Baseball Quantities

Phase 2: Derivative Applications

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Optimization For Launch Decisions Related Rates In Tracking And Orientation Second Derivative And Curvature Interpretation Linearization For Fast Approximation Derivative Application Synthesis Lab

Phase 3: Integrals And Accumulation

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Definite Integral As Accumulated Change Fundamental Theorem Of Calculus In Modeling Workflow Substitution And Integration By Parts Numerical Integration For Real Data Integral Interpretation In Baseball Context

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Derivative/integral drills
- Optimization scenarios
- Numerical method notebook

Multivariable Calculus And Differential Equations

Outcomes

- Work with partial derivatives, gradients, and multivariable constraints in models.
- Set up and interpret ODE-based dynamic models with stability intuition.
- Communicate sensitivity and locality assumptions for multivariate analyses.

Prerequisites

Calculus II | Vectors | Basic linear systems

Rolling Mastery Path

Phase 1: Multivariable Function Geometry

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Functions Of Several Variables In Baseball Systems Partial Derivatives And Marginal Effects Gradient, Directional Derivative, And Sensitivity Tangent Planes And Local Linear Models Multivariable Optimization Under Constraints

Phase 2: Multiple Integration And Vector Fields

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Double Integrals Over Physical Regions Coordinate Changes In Multivariable Integrals Vector Fields And Flow Interpretation Line Integrals For Work-Like Quantities Multivariable Integration Synthesis Workshop

Phase 3: Differential Equations For Dynamic Systems

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

First-Order ODEs For Baseball Change Models Second-Order ODEs For Motion Dynamics Linear Systems And Stability Intuition Numerical ODE Solvers And Step Control Differential Equations Capstone Integration

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- PDE/ODE setup tasks
- Sensitivity report
- Integration capstone

Baseball Physics Foundations

Outcomes

- Derive and validate mechanics-based ball-flight models.
- Connect geometric and trigonometric structure to measurable game outcomes.
- Communicate model assumptions and physical limitations with precision.

Prerequisites

Multivariable calculus | Vector algebra | Intro mechanics

Rolling Mastery Path

Phase 1: Geometry Of The Field And Ball Flight

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 8 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Coordinate Systems For Baseball Fields Field Dimensions, Symmetry, And Constraint Boundaries Arc Length, Curvature, And Outfield Wall Geometry Launch Angle As A Geometric Object 2D To 3D Flight Geometry Transitions Ballpark Topology And Home Run Boundary Surfaces Geometric Sensitivity: Small Angle Changes, Large Outcome Swings Geometry Synthesis Lab: Mapping Ball Flight Regions

Phase 2: Trigonometry And Vector Decomposition

Prior phase: all 8 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 12 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Trigonometric Functions Refresher For Modeling Unit Circle, Radians, And Angular Velocity In Context SOHCAHTOA To Vector Components: Horizontal Vs Vertical Motion Inverse Trig For Reconstructing Launch Conditions Dot Product, Projection, And Directional Influence Cross Product Intuition For Spin And Orientation Polar, Cartesian, And Spherical Coordinate Conversions Phase Shift And Periodicity In Baseball Motion Signals Trig Identities For Simplifying Flight Equations Angle Optimization Under Physical Constraints Error Propagation In Trig-Based Calculations Trigonometry Mastery Workshop: Multi-Step Applied Problems

Phase 3: Newtonian Mechanics And Projectile Motion

Prior phase: all 12 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 14 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Newton's Laws Revisited For Ball-Bat And Ball-Air Systems Kinematics In One And Two Dimensions Free-Body Diagrams For Batted Ball Motion Initial Conditions: Exit Velocity, Launch Angle, Spin Inputs No-Drag Projectile Derivation From First Principles Time Of Flight, Apex, And Range Relationships Energy Methods Vs Force Methods In Ball Flight Momentum Transfer In Contact Events Introducing Drag Into Newton's Second Law Solving Drag-Inclusive ODEs Numerically Lift And Magnus Contributions To Trajectory Shape Comparing Vacuum, Drag-Only, And Drag+Lift Models Parameter Sensitivity And Stability In Trajectory Models Newtonian Synthesis Lab: Build A Full Forward Simulator

Phase 4: Drag, Lift, And Aerodynamics Of The Baseball

Prior phase: all 14 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 10 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Physical Meaning Of Drag Coefficient In Baseball Reynolds Number Regimes And Seam Effects Boundary Layers, Turbulence, And Flight Consequences Lift Coefficient, Spin Rate, And Spin Axis Coupled Drag-Lift Dynamics In Flight Estimating Aerodynamic Parameters From Observational Data Identifiability: When Different Parameters Fit Similar Outcomes Aerodynamics And Home Run Probability Pathways Model Misspecification In Aerodynamic Inference Aerodynamics Practicum: Inference And Validation

Phase 5: Environmental Effects And Ballpark Context

Prior phase: all 10 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Air Density, Temperature, Pressure, And Humidity Altitude And Effective Resistance Landscapes Wind Vector Decomposition Relative To Ball Path Weather Variability And Uncertainty Bands Stadium Orientation And Microclimate Interaction Normalizing Outcomes Across Ballparks Environmental Counterfactuals (What If Conditions Changed?)Environment Integration Lab: Context-Aware Distance Models

Phase 6: Synthesis — Building Physics-Based Ball-Flight Models

Prior phase: all 8 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

End-To-End Model Architecture For Ball Flight Choosing State Variables And Parameter Priors Numerical Solvers, Step Size, And Convergence Tradeoffs Calibration With Statcast-Style Observations Residual Analysis And Diagnostic Workflows Scenario Analysis And Simulation Design Reproducible Reporting For Physics Models Physics Capstone Milestone: Technical Memo Draft

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Derivation checks
- Mechanics problem sets
- Physics capstone memo

Statistical Modeling For Baseball

Outcomes

- Build, validate, and critique predictive/statistical models for baseball outcomes.
- Report uncertainty and robustness checks in professor-reviewable form.
- Separate association claims from causal claims.

Prerequisites

Probability/statistics | Linear algebra basics | Data manipulation fundamentals

Rolling Mastery Path

Phase 1: Data Generating Processes In Baseball

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 7 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

What Is A Data Generating Process?Randomness, Structure, And Measurement Error Selection Effects In Public Baseball Data Temporal Dependence Across Games And Seasons Confounding Patterns In Outcome Metrics Hierarchical Structure: Player, Team, Park, Era DGP Case Study: Home Run Rate Dynamics

Phase 2: Exploratory Data Analysis And Sampling Pitfalls

Prior phase: all 7 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

EDA Framing: Questions Before Charts Distribution Shape, Tail Behavior, And Robust Summaries Stratification And Simpson's Paradox In Baseball Missingness Mechanisms And Practical Handling Leakage Risks During Data Filtering Sampling Windows And Seasonality Bias Outliers: Signal, Noise, Or Data Issue?EDA Notebook Practicum With Review Rubric

Phase 3: Regression And Generalized Linear Models For HR Probability

Prior phase: all 8 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 10 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Linear Regression Baseline For Interpretability Feature Engineering For Batted-Ball Outcomes Logistic Regression For Home Run Probability Interaction Terms: Launch Angle × Exit Velocity Regularization (L1/L2) For Stability Nonlinearity Handling: Splines And Basis Expansion Model Comparison: AIC, BIC, And Cross-Validation Calibration Curves And Probability Reliability Thresholding And Decision Utility Regression Lab: Build, Compare, Defend

Phase 4: Uncertainty, Confidence Intervals, And Model Validation

Prior phase: all 10 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 9 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Sampling Distributions In Practice Confidence Intervals For Means, Effects, And Probabilities Bootstrap Methods For Complex Metrics Hypothesis Testing And Practical Significance Validation Splits, Cross-Validation, And Drift Error Decomposition: Bias, Variance, Noise Robustness Checks And Sensitivity Analysis Communicating Uncertainty Without Overclaiming Validation Dossier Workshop

Phase 5: Causality Vs Correlation In Baseball Narratives

Prior phase: all 9 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Association Is Not Causation: Formal Definitions DAGs For Baseball Questions Confounders, Mediators, And Colliders Counterfactual Reasoning For Policy/Rule Changes Natural Experiments And Quasi-Experimental Design Causal Claims In Public Baseball Media: Critical Audit Translating Causal Limits Into Honest Language Causality Debate Seminar And Position Paper

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Model critique reports
- Validation dossiers
- Uncertainty-aware technical memo

Data Analysis With Statcast

Outcomes

- Construct reproducible data workflows from event-level baseball data.
- Engineer and validate features without leakage.
- Produce high-integrity visual analyses tied to explicit questions.

Prerequisites

Python or notebook workflow | Basic SQL or tabular joins | Descriptive statistics

Rolling Mastery Path

Phase 1: Statcast Schema And Data Cleaning

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 10 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Statcast Table Structure And Core Fields Type Systems, Units, And Semantic Consistency Event-Level Data Sources And Measurement Pipelines Data Quality Audits And Rule Checks Join Strategies For Context Enrichment Metric Reliability Across Parks Eras And Sensors Time Alignment Across Events And Metadata Cleaning Pipelines And Reproducible Transforms Versioning Datasets For Repeatability Data Cleaning Practicum With QA Checklist

Phase 2: Feature Engineering For Ball Flight And HR Outcomes

Prior phase: all 10 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 10 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Feature Engineering Principles For Baseball Models Derived Kinematic Features From Raw Inputs Expected Statistics Construction And Assumptions Scaling Normalization And Cross-Player Comparison Context Features: Park, Weather, Matchup Temporal Features: Form, Fatigue, And Sequence Effects Encoding Categorical Variables At Scale Feature Leakage Detection And Mitigation Interpretable Vs High-Capacity Feature Sets Feature Store Mini-Project

Phase 3: Visualization Design For Baseball Questions

Prior phase: all 10 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Chart Selection By Statistical Question Type Designing Honest Axes, Scales, And Encodings Dense Scatter, Hexbin, And Heatmap Tradeoffs Time-Series Decomposition Visual Patterns Uncertainty Visualization Techniques Annotation Strategy For Analytical Narratives Accessibility And Visual Clarity Standards Visualization Critique Studio

Phase 4: Reproducible Pipelines And Notebooks

Prior phase: all 8 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 9 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Reproducibility Principles In Applied Analytics Notebook Structure For Reviewability Parameterized Analysis Workflows Caching, Determinism, And Performance Testing Data Transformations Diagnostics For Drift Noise And Confounding Packaging Results For Reuse Communicating Metric Limits To Non-Technical Audiences Reproducibility Audit Practicum

Phase 5: Applied Projects — Recreating Deadball Tracker Figures

Prior phase: all 9 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Project Scoping And Analytical Question Refinement Rebuilding Drag Vs HR With Clear Assumptions Rebuilding Expected Vs Actual Distance Rebuilding Exit Velocity Relationship Visuals Extending A Figure With Uncertainty Overlays Error Analysis Against Prior Versions Publication-Ready Figure Standards Applied Project Review And Revision Cycle

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Data QA audits
- Reproducible pipeline submission
- Figure recreation project

Environmental Science For Baseball Systems

Outcomes

- Explain atmospheric and environmental factors that alter ball flight and operations.
- Analyze climate and weather variability implications for baseball decisions.
- Connect environmental uncertainty to communication and planning ethics.

Prerequisites

Intro chemistry/physics helpful | Comfort with charts | Algebra-based modeling

Rolling Mastery Path

Phase 1: Atmospheric Science Foundations

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Air Composition, Pressure, And Density Basics Temperature, Humidity, And Thermodynamic Effects Wind Formation And Boundary-Layer Behavior Microclimate Variation Across Ballparks Atmospheric Science Applied Exercise Set

Phase 2: Climate, Variability, And Baseball Impacts

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Weather Vs Climate In Baseball Analysis Long-Term Climate Trends And Ball-Flight Implications Extreme Events, Scheduling, And Safety Decisions Environmental Uncertainty Communication Climate Impact Scenario Workshop

Phase 3: Environmental Decision-Making

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Mitigation And Adaptation In Stadium Operations Sustainability Metrics And Trade-Off Analysis Policy, Ethics, And Environmental Justice Context Designing Environment-Aware Baseball Studies Environmental Science Capstone Brief

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Concept checks
- Scenario analysis brief
- Ethics reflection

Biological Mechanics Of Baseball

Outcomes

- Explain how major body systems support baseball-specific demands without clinical diagnosis.
- Connect muscle physiology vocabulary to observable pitching and hitting actions.
- Interpret sports-science research questions relevant to workload, sequencing, and performance literacy.

Prerequisites

Intro biology vocabulary (cells, tissues, organs) or willingness to learn it in-lesson | Baseball role literacy (pitcher, hitter, fielder workloads) | Comfort discussing uncertainty and non-medical boundaries

Rolling Mastery Path

Phase 1: Body Systems And Muscle Fundamentals

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 5 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Cells Tissues And Baseball Demand Basics Muscle Contraction Types In Throwing And Hitting Motor Units Fatigue And Pitching Loads Warmup Progressions And Game Day Readiness Body Systems Synthesis Workshop

Phase 2: Movement Running And The Kinetic Chain

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Sprinting Versus Stealing Baseball Acceleration Basics Gait Asymmetry And Bilateral Training In Baseball Hip Shoulder Separation And Sequencing Fundamentals Interpreting Energy Transfer Language Critically Kinetic Chain Synthesis Lab

Phase 3: Sports Science And Baseball Performance

Prior phase: all 5 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 5 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

What Biomechanists Measure In Pitching Labs Hitting Kinematics And Bat Path Research Questions Workload Proxies Innings Pitches And Recovery Ethics And Limits Non Medical Communication Biological Mechanics Capstone Brief

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Concept checkpoints in lessons
- Coach-facing language audit (non-medical boundary)
- Short reflection tying lab vocabulary to a baseball scenario

Communicating Sports Analytics Insights

Outcomes

- Translate technical findings into decision-ready narratives.
- Defend methodology choices under peer review.
- Deliver capstone-quality written and oral analytical communication.

Prerequisites

At least one completed technical track | Scientific writing fundamentals

Rolling Mastery Path

Phase 1: Framing Questions And Stakeholders

Confirm listed prerequisites for this track before starting.
This phase: open and complete all 6 linked lessons; pass each lesson's Final Mastery Checkpoint when present before marking complete.
Optional: complete summative rubric drafts in the Wrap step when offered (see Algebra Unit 1 alignment pack for an exemplar pathway).

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Audience Analysis: Students, Coaches, Analysts, Public Defining Decision-Relevant Questions Scoping Claims To Available Evidence Narrative Arcs For Technical Findings Risk Communication For High-Variance Results Framing Workshop: One Dataset, Three Audiences

Phase 2: Visual Rhetoric And Chart Storytelling

Prior phase: all 6 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 7 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Story Structure Through Sequential Visuals Emphasis Without Distortion Comparative Framing And Baseline Selection Annotation As Argument Multi-Panel Narrative Construction Common Misleading Patterns And How To Avoid Them Storytelling Critique Lab

Phase 3: Writing Methodology And Caveats

Prior phase: all 7 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 7 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Methods Sections Readers Can Audit Assumption Registers And Limitation Statements Reporting Model Choices Transparently Uncertainty Language Templates Reproducibility Statements And Artifact Links Writing For Technical Vs Non-Technical Readers Methodology Rewrite Workshop

Phase 4: Presentations, Debates, And Peer Review

Prior phase: all 7 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 7 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Slide Architecture For Analytical Arguments Oral Defense Of Modeling Choices Handling Cross-Examination And Objections Constructive Peer Review Rubrics Debate Formats For Causal Claims Revision Cycles From Feedback Live Seminar Simulation

Phase 5: Capstone Composition And Defense

Prior phase: all 7 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 8 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Capstone Topic Selection And Proposal Literature Positioning And Prior Work Context Data + Model + Narrative Integration Drafting The Technical Report Building The Executive Summary Visual Appendix And Reproducibility Bundle Mock Defense And Rubric Scoring Final Capstone Submission And Reflection

Phase 6: Scientific Paper Literacy For Sports Analytics

Prior phase: all 8 lesson(s) completed with checkpoints passed where the lesson includes them.
This phase: complete all 6 linked lessons with the same checkpoint rule.
Maintain a short learning log if you are assembling an external portfolio or instructor review packet.

Suggested pace: Self-paced. Phase length scales with lesson count; backend catalog stores per-lesson minute estimates for dashboard scale.

Paper Structure And Reading Strategy Methods Section Deconstruction Statistical Claims Effect Sizes And Uncertainty Reproducibility Data Access And Supplementary Materials Legitimacy And Credibility Evaluation Framework From Evidence To Independent Judgment Decision Memo Workshop

Capstone Synthesis

All prior phases in this track: every library lesson completed (progress optional but recommended for an honest completion signal).
Open Capstone Requirements and follow linked expectations; pair with instructor or peer review if pursuing a formal pathway.

Suggested pace: Allocate dedicated writing and revision time; rubric-scored artifacts recommended for pathway B.

Capstone Requirements

Assessments

- Narrative critique
- Peer-review rubrics
- Final capstone defense