Taxonomy Distribution Report

Overview

• Total Concepts: 200
• Number of Taxonomies: 12
• Average Concepts per Taxonomy: 16.7

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
OPTIC	OPTIC	29	14.5%	✅
DYNAM	DYNAM	24	12.0%	✅
ENRGY	ENRGY	20	10.0%	✅
ELECT	ELECT	20	10.0%	✅
Foundation Concepts - Prerequisites	FOUND	19	9.5%	✅
WAVES	WAVES	19	9.5%	✅
KINEM	KINEM	17	8.5%	✅
OSCIL	OSCIL	14	7.0%	✅
SOUND	SOUND	11	5.5%	✅
MOMNT	MOMNT	10	5.0%	✅
ROTAT	ROTAT	10	5.0%	✅
LIGHT	LIGHT	7	3.5%	✅

Visual Distribution

OPTIC  ███████  29 ( 14.5%)
DYNAM  ██████  24 ( 12.0%)
ENRGY  █████  20 ( 10.0%)
ELECT  █████  20 ( 10.0%)
FOUND  ████  19 (  9.5%)
WAVES  ████  19 (  9.5%)
KINEM  ████  17 (  8.5%)
OSCIL  ███  14 (  7.0%)
SOUND  ██  11 (  5.5%)
MOMNT  ██  10 (  5.0%)
ROTAT  ██  10 (  5.0%)
LIGHT  █   7 (  3.5%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold. Good balance!

Category Details

OPTIC (OPTIC)

Count: 29 concepts (14.5%)

Concepts:

• 1. Reflection
• 1. Law of Reflection
• 1. Plane Mirrors
• 1. Spherical Mirrors
• 1. Concave Mirrors
• 1. Convex Mirrors
• 1. Mirror Equation
• 1. Magnification
• 1. Refraction
• 1. Snell's Law
• 1. Index of Refraction
• 1. Total Internal Reflection
• 1. Critical Angle
• 1. Lenses
• 1. Convex Lenses
• ...and 14 more

DYNAM (DYNAM)

Count: 24 concepts (12.0%)

Concepts:

• 1. Force
• 1. Net Force
• 1. Newton's First Law
• 1. Inertia
• 1. Newton's Second Law
• 1. Newton's Third Law
• 1. Action-Reaction Pairs
• 1. Equilibrium
• 1. Static Equilibrium
• 1. Dynamic Equilibrium
• 1. Friction
• 1. Static Friction
• 1. Kinetic Friction
• 1. Coefficient of Friction
• 1. Weight
• ...and 9 more

ENRGY (ENRGY)

Count: 20 concepts (10.0%)

Concepts:

• 1. Work
• 1. Work by Constant Force
• 1. Work by Variable Force
• 1. Work-Energy Theorem
• 1. Kinetic Energy
• 1. Potential Energy
• 1. Gravitational Potential Energy
• 1. Elastic Potential Energy
• 1. Conservative Forces
• 1. Non-conservative Forces
• 1. Conservation of Energy
• 1. Mechanical Energy
• 1. Energy Diagrams
• 1. Power
• 1. Efficiency
• ...and 5 more

ELECT (ELECT)

Count: 20 concepts (10.0%)

Concepts:

• 1. Electric Charge
• 1. Positive Charge
• 1. Negative Charge
• 1. Conservation of Charge
• 1. Conductors
• 1. Insulators
• 1. Semiconductors
• 1. Superconductors
• 1. Charging by Friction
• 1. Charging by Contact
• 1. Charging by Induction
• 1. Grounding
• 1. Coulomb's Law
• 1. Electric Force
• 1. Electric Field
• ...and 5 more

Foundation Concepts - Prerequisites (FOUND)

Count: 19 concepts (9.5%)

Concepts:

• 1. Scientific Method
• 1. Measurement
• 1. SI Units
• 1. Unit Conversion
• 1. Significant Figures
• 1. Dimensional Analysis
• 1. Error Analysis
• 1. Precision vs Accuracy
• 1. Scalars
• 1. Vectors
• 1. Vector Addition
• 1. Vector Subtraction
• 1. Vector Components
• 1. Dot Product
• 1. Cross Product
• ...and 4 more

WAVES (WAVES)

Count: 19 concepts (9.5%)

Concepts:

• 1. Mechanical Waves
• 1. Transverse Waves
• 1. Longitudinal Waves
• 1. Wave Properties
• 1. Wavelength
• 1. Wave Frequency
• 1. Wave Period
• 1. Wave Speed
• 1. Wave Interference
• 1. Constructive Interference
• 1. Destructive Interference
• 1. Superposition Principle
• 1. Standing Waves
• 1. Nodes and Antinodes
• 1. Wave Reflection
• ...and 4 more

KINEM (KINEM)

Count: 17 concepts (8.5%)

Concepts:

• 1. Displacement
• 1. Distance
• 1. Speed
• 1. Velocity
• 1. Acceleration
• 1. Linear Motion
• 1. Uniform Motion
• 1. Uniformly Accelerated Motion
• 1. Position-Time Graphs
• 1. Velocity-Time Graphs
• 1. Acceleration-Time Graphs
• 1. Kinematic Equations
• 1. Free Fall
• 1. Projectile Motion
• 1. Horizontal Projection
• ...and 2 more

OSCIL (OSCIL)

Count: 14 concepts (7.0%)

Concepts:

• 1. Simple Harmonic Motion
• 1. Restoring Force
• 1. Amplitude
• 1. Period
• 1. Frequency
• 1. Angular Frequency
• 1. Hooke's Law
• 1. Spring Constant
• 1. Pendulum
• 1. Simple Pendulum
• 1. Physical Pendulum
• 1. Damped Harmonic Motion
• 1. Forced Oscillations
• 1. Resonance

SOUND (SOUND)

Count: 11 concepts (5.5%)

Concepts:

• 1. Sound Waves
• 1. Speed of Sound
• 1. Sound Intensity
• 1. Decibel Scale
• 1. Pitch
• 1. Loudness
• 1. Ultrasound
• 1. Infrasound
• 1. Beats
• 1. Harmonics
• 1. Acoustic Resonance

MOMNT (MOMNT)

Count: 10 concepts (5.0%)

Concepts:

• 1. Linear Momentum
• 1. Impulse
• 1. Impulse-Momentum Theorem
• 1. Conservation of Momentum
• 1. Elastic Collisions
• 1. Inelastic Collisions
• 1. Perfectly Inelastic Collisions
• 1. 2D Collisions
• 1. Center of Mass
• 1. Rocket Propulsion

ROTAT (ROTAT)

Count: 10 concepts (5.0%)

Concepts:

• 1. Angular Displacement
• 1. Angular Velocity
• 1. Angular Acceleration
• 1. Rotational Kinematics
• 1. Torque
• 1. Rotational Inertia
• 1. Rotational Kinetic Energy
• 1. Angular Momentum
• 1. Conservation of Angular Momentum
• 1. Rolling Motion

LIGHT (LIGHT)

Count: 7 concepts (3.5%)

Concepts:

• 1. Light Waves
• 1. Electromagnetic Spectrum
• 1. Visible Spectrum
• 1. Speed of Light
• 1. Luminous Intensity
• 1. Color Addition
• 1. Color Subtraction

Recommendations

• ✅ Excellent balance: Categories are evenly distributed (spread: 11.0%)
• ✅ MISC category minimal: Good categorization specificity

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Report generated by learning-graph-reports/taxonomy_distribution.py