Search first, then keep the matching concepts in view.

Uniform Circular Motion

Track a particle moving at constant speed around a circle and connect radius, angular speed, tangential speed, centripetal acceleration, and the inward-force requirement to the same live state.

Vectors and Components

Rotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.

Torque

Push on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.

Rotational Inertia / Moment of Inertia

Keep the same total mass and torque, then slide equal masses inward or outward to see why moment of inertia makes some rotors much harder to spin up than others.

Static Equilibrium / Centre of Mass

Shift one support region under one loaded plank and see how centre of mass, support reactions, and torque balance decide whether the object stays stable or tips.

Angular Momentum

Treat angular momentum as rotational momentum on one compact rotor where mass radius and spin rate stay tied to the same readouts, response maps, and same-L conservation story.

Momentum and Impulse

Push one cart with a timed force pulse and watch momentum, impulse, and force-time area stay tied to the same motion, readouts, and graphs.

Rolling Motion

Roll a sphere, cylinder, hoop, or custom mass distribution down one incline and see how rolling without slipping ties translation, rotation, and rotational inertia to the same honest run.

Conservation of Momentum

Use two carts to see the conservation rule in action: with no outside push, the system's total momentum stays fixed even while each cart's momentum and speed change.

Collisions

Collide two carts on one honest track, keep total momentum in view, and see how elasticity, mass, and incoming speed shape the rebound or stick-together outcome.

Projectile Motion

Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.

A strong first concept for opening concepts without committing to a full track.

Gravity and Orbits

5 concepts

Circular Orbits and Orbital Speed

See why a circular orbit needs the right sideways speed, how gravity supplies the centripetal acceleration, and how source mass and radius together set orbital speed and period on one bounded live model.

Gravitational Fields

See how one source mass creates an inward gravitational field, how source mass and distance set the field strength, and how a probe mass turns that field into force without changing the field itself.

Gravitational Potential and Potential Energy

See one source mass create a negative potential well, compare how potential and potential energy change with distance, and connect the downhill slope of phi to the gravitational field on the same live model.

Kepler's Third Law and Orbital Periods

Compare circular orbits around one source mass and see why larger orbits take longer: the path is longer, the circular speed is lower, and the same live model makes the period law visible without hiding the gravity-speed link.

Escape Velocity

Launch outward from one bounded gravity source and see how source mass, launch radius, and total specific energy decide whether the object escapes or eventually returns.

Oscillations

3 concepts

Simple Harmonic Motion

See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.

A strong first concept for opening concepts without committing to a full track.

Oscillation Energy

Watch kinetic and potential energy trade places in simple harmonic motion while the total stays fixed by amplitude and spring stiffness.

Damping / Resonance

Explore how damping removes energy, how driving frequency changes amplitude, and why resonance becomes dramatic near the natural frequency.

Waves

4 concepts

Wave Speed and Wavelength

Follow one traveling wave across the same medium and connect crest spacing, travel delay, source timing, and the relation v = f lambda on one honest live stage.

Doppler Effect

Watch a moving sound source compress wavefronts ahead and stretch them behind, then see how source motion and observer motion combine to change the heard pitch on one bounded classical bench.

Wave Interference

Superpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.

Standing Waves

Track fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.

Sound

4 concepts

Beats

Superpose two nearby sound frequencies, watch the fast carrier sit inside a slower envelope, and connect beat rate to the frequency difference on one compact bench.

Pitch, Frequency, and Loudness / Intensity

Keep one compact sound bench while separating pitch from frequency, loudness from amplitude and an amplitude-squared intensity cue, and probe delay from the source sound itself.

Sound Waves and Longitudinal Motion

See sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.

Resonance in Air Columns / Open and Closed Pipes

Compare open and closed pipe boundary conditions on one compact air column so standing-wave shapes, missing even harmonics, probe motion, and pressure cues stay tied to the same resonance state.

Fluids

5 concepts

Bernoulli's Principle

Follow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.

Buoyancy and Archimedes' Principle

Use one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.

Continuity Equation

Keep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.

Drag and Terminal Velocity

Drop one body through a fluid and use mass, area, and drag strength to see drag grow with speed until force balance settles into terminal velocity.

Pressure and Hydrostatic Pressure

Use one piston-and-tank bench to connect force per area, pressure acting in all directions, and the way density, gravity, and depth build hydrostatic pressure.

Thermodynamics

4 concepts

Heat Transfer

See heat as energy transfer driven by temperature difference while conduction, convection, and radiation compete on one compact bench with honest pathway rates.

Ideal Gas Law and Kinetic Theory

Connect pressure, volume, temperature, and particle number on one bounded particle box, then read the same pressure changes back as changes in particle speed and wall-collision rate.

Specific Heat and Phase Change

See why the same energy pulse changes different materials by different temperature amounts, and why a phase-change shelf can absorb or release energy without changing temperature on one compact thermal bench.

Temperature and Internal Energy

Compare average particle motion with whole-sample energy, vary amount and heating, and see why a phase-change shelf breaks naive temperature-only reasoning on one compact thermal bench.

A strong first concept for opening concepts without committing to a full track.

Electricity

3 concepts

Electric Fields

See how source-charge sign, distance, and superposition set the electric field at one probe, then watch a test charge turn that field into a force without changing the field itself.

Capacitance and Stored Electric Energy

Keep one parallel-plate capacitor on screen so geometry, stored charge, field strength, and stored electric energy stay tied to the same bounded battery-and-plates model.

Electric Potential

Map how source-charge sign and distance shape electric potential, read voltage as a difference across one shared horizontal scan line, and connect the downhill slope of V to the electric field.

Circuits

7 concepts

Basic Circuits

Keep one battery and two resistors in view while current, voltage, resistance, Ohm's law, and the contrast between series and parallel all stay tied to one honest circuit.

Power and Energy in Circuits

Keep one source and one resistive load in view while current, power, and accumulated energy over time stay tied to the same honest circuit.

Series and Parallel Circuits

Switch the same two loads between one loop and two branches, then track how current, voltage, brightness, and charge flow reorganize without changing the battery.

Kirchhoff Loop and Junction Rules

Use one small circuit to see the two Kirchhoff habits: currents balance at a split, and voltage rises and drops balance around every closed path.

Equivalent Resistance

Reduce one highlighted resistor group into an equivalent block, then collapse the whole mixed circuit honestly and watch how the total current and grouped behavior change together.

RC Charging and Discharging

Keep one resistor-capacitor loop on screen so capacitor voltage, current, stored energy, and the time constant all stay tied to the same charging or discharging setup.

Internal Resistance and Terminal Voltage

Keep one non-ideal source and one load on screen so emf, internal drop, terminal voltage, current, and wasted power stay tied to the same one-loop circuit.

Magnetism

2 concepts

Magnetic Fields

See how current direction, wire spacing, distance, and superposition set the magnetic field around one or two long straight wires, with the stage arrows and scan graphs tied to the same live source pattern.

Magnetic Force on Moving Charges and Currents

See why a magnetic field bends a moving charge sideways, why faster charges can make wider arcs, and how the same cross-product direction rule pushes a current-carrying wire.

Electromagnetism

3 concepts

Electromagnetic Waves

See how changing electric and magnetic fields travel together as one rightward wave, with the local field pair, source-to-probe delay, and propagation cue all tied to the same compact live stage.

Faraday's Law and Lenz's Law

Track one magnet passing one coil and see how changing magnetic flux linkage creates induced emf while Lenz's law fixes the response direction, with the stage, galvanometer, and graphs all driven by the same bounded motion.

Maxwell's Equations Synthesis

See what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.

Optics

7 concepts

Light as an Electromagnetic Wave

Connect electromagnetic waves to visible light, color, frequency, and the broader spectrum while one compact stage keeps the spectrum rail, field-pair sketch, and medium-linked wavelength changes tied together.

Polarization

Use one compact polarizer bench to see polarization as the orientation story of transverse waves, how angle mismatch sets transmitted light, and why one ideal polarizer makes unpolarized light emerge with one chosen axis.

Diffraction

Watch a wave spread after one narrow opening, see why diffraction grows when wavelength competes with slit width, and build the wave-optics bridge toward double-slit interference.

Double-Slit Interference

Use two coherent slits and one screen to connect path difference, phase difference, and fringe spacing to wavelength, slit separation, and screen distance on one compact optics bench.

Refraction / Snell's Law

Watch one light ray cross a boundary, connect refractive index to speed change, and see Snell's law set the refracted angle, bending direction, and critical-angle limit on the same live diagram.

Dispersion / Refractive Index and Color

Use one compact thin-prism bench to see how refractive index can depend on wavelength, why different colors bend by different amounts, and how a bounded prism model separates colors without widening into a full spectroscopy subsystem.

Total Internal Reflection

Push a ray from a higher-index medium toward a lower-index boundary, watch the critical angle emerge, and see the same live diagram hand off from ordinary refraction to full internal reflection.

Mirrors and Lenses

3 concepts

Mirrors

Use plane, concave, and convex mirrors to track equal-angle reflection, signed image distance, and magnification on the same live ray diagram.

Lens Imaging

Trace principal rays through converging and diverging lenses, connect the signed thin-lens equation to the diagram, and watch image distance and magnification respond to the same object setup.

Optical Resolution / Imaging Limits

Image two nearby point sources through one finite aperture and see why diffraction, wavelength, and aperture diameter limit how sharply an optical system can separate them.

Modern Physics

5 concepts

Photoelectric Effect

Use one compact lamp-to-metal bench to see why light frequency sets electron emission, why intensity alone fails below threshold, and how stopping potential reads the electron energy honestly.

Atomic Spectra

Link discrete emission and absorption lines to allowed energy-level gaps with one compact ladder-and-spectrum bench that keeps transitions, wavelengths, and mode changes tied together.

de Broglie Matter Waves

Use one compact matter-wave bench to see how particle momentum sets wavelength, why heavier or faster particles get shorter wavelengths, and how whole-number loop fits form a bounded bridge toward early quantum behavior.

Bohr Model

Use a compact hydrogen bench to connect quantized energy levels, allowed transitions, and named spectral-line series while staying clear that Bohr is a useful historical model rather than the final quantum description.

Radioactivity and Half-Life

Use one compact decay bench to see why each nucleus decays unpredictably, why large samples still follow a regular half-life curve, and how to read remaining-count graphs honestly.

Math16 concepts

Functions

3 concepts

Graph Transformations

Move one parent curve with honest controls so shifts, vertical scale, and reflections stay tied to the same overlaid graph and landmark points.

Exponential Change / Growth, Decay, and Logarithms

Change one starting value, one rate, and one target so growth, decay, doubling or half-life, and logarithmic target time all stay tied to the same live curve.

Rational Functions / Asymptotes and Behavior

Vary one shifted reciprocal family so domain breaks, vertical and horizontal asymptotes, intercepts, and removable-hole behavior stay tied to the same graph.

Calculus

4 concepts

Derivative as Slope / Local Rate of Change

Slide a point along one curve, tighten a secant into a tangent, and connect local steepness to the derivative graph without leaving the same live bench.

Limits and Continuity / Approaching a Value

Move one target-distance slider inward from both sides, compare the finite-limit guide with the actual point, and separate continuous, removable-hole, jump, and blow-up behavior on one graph-first bench.

Optimization / Maxima, Minima, and Constraints

Move one rectangle width under a fixed 24 meter perimeter and watch height, area, and local slope respond together so the square maximum emerges from the same bench.

Integral as Accumulation / Area

Drag one upper bound across a source curve, watch signed area and the accumulation graph update together, and separate current source height from the running total.

Vectors

3 concepts

Vectors in 2D

Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.

Matrix Transformations / Stretch, Shear, Reflection

Let one 2 by 2 matrix act on a grid, the basis vectors, and a sample shape so stretch, shear, reflection, and combined plane changes stay visual instead of symbolic-only.

Dot Product / Angle and Projection

Keep two vectors, their angle, the signed projection of one onto the other, and the dot product visible together so alignment reads geometrically instead of as memorized cases.

Complex Numbers and Parametric Motion

6 concepts

Complex Numbers on the Plane

Read complex numbers as points and vectors on one plane, then keep addition and multiplication geometric instead of symbolic-only.

Parametric Curves / Motion from Equations

Keep x(t), y(t), the traced path, and the moving point visible together so shape and traversal stay distinct.

Polar Coordinates / Radius and Angle

Keep one point visible in polar and Cartesian views at the same time so radius and angle turn directly into x and y on the plane.

Unit Circle / Sine and Cosine from Rotation

Keep one rotating point, its x and y projections, and the sine-cosine traces linked so the unit circle becomes the live source of both functions.

Trig Identities from Unit-Circle Geometry

Keep one rotating point and its projections visible so the core trig identities stay tied to geometry instead of detached symbol rules.

Inverse Trig / Angle from Ratio

Keep one polar point and its coordinate signs visible so inverse trig becomes angle-from-ratio reasoning with quadrant checks instead of a calculator-only output.

Chemistry9 concepts

Rates and Equilibrium

2 concepts

Reaction Rate / Collision Theory

Keep one chemistry box visible so temperature, concentration, activation threshold, and catalysts can be read as changes in successful collisions instead of chemistry slogans.

Dynamic Equilibrium / Le Chatelier's Principle

Watch a reversible chemistry bench keep changing microscopically while the mixture settles toward a new balance after each disturbance.

Stoichiometry and Yield

3 concepts

Stoichiometric Ratios and Recipe Batches

Keep one reaction recipe visible so stoichiometric ratios read as complete batches, not detached worksheet proportions.

Limiting Reagent and Leftover Reactants

Use one recipe bench to see which reactant caps the output first and why the other reactant can remain in excess.

Percent Yield and Reaction Extent

Compare actual output with the same theoretical recipe cap so percent yield stays visual and honest on one shared bench.

Solutions and pH

4 concepts

Concentration and Dilution

Use one beaker to separate how concentration changes when you add solvent from how it changes when you add more solute.

Solubility and Saturation

Keep dissolved amount, excess solid, and current capacity in one beaker so saturation reads like a visible limit instead of a slogan.

Acid-Base / pH Intuition

Keep acid amount, base amount, water, and the pH strip visible together so acidity and basicity stay intuitive rather than memorized.

Buffers and Neutralization

Keep neutralization, buffer reserve, and the pH strip visible together so steady pH does not look like unchanged chemistry.

Computer Science6 concepts

Algorithms and Search

6 concepts

Sorting and Algorithmic Trade-offs

Watch sorting as visible work on a live list so input order, comparisons, and writes stay concrete instead of collapsing into one final answer.

Binary Search / Halving the Search Space

Keep an ordered list, the low-mid-high markers, and the shrinking interval visible together so binary search feels visual instead of procedural.

Graph Representation and Adjacency Intuition

Keep one live graph, one local neighborhood, and one frontier cue visible together so graph structure feels readable before traversal rules get formal.

Breadth-First Search and Layered Frontiers

Keep the queue frontier, visited count, and graph layers visible together so breadth-first search reads as a layered process instead of a procedure list.

Depth-First Search and Backtracking Paths

Keep the stack frontier, current depth, and branch order visible together so depth-first search feels like disciplined backtracking instead of random wandering.

Functions and Change Lesson Set

Frontier and Visited State on Graphs

Use one cyclic graph to see which nodes are waiting, which are finished, and why repeat edges are skipped instead of reopening loops.

Saved progress

Show saved progress tools

Resume or review without turning this page into a dashboard.

Continue learning

Resume the concepts that already have momentum.

Saved locally unless sync is enabled

Once you start saving concept progress, the clearest next concept will appear here.

Browse concepts

Review queue

Surface the concepts that need another pass.

The queue stays tied to the same progress snapshot instead of inventing a separate scheduler.

From this browser

Once you save progress, the review queue will surface the concepts that need another pass.

Other ways in

Use another view only when it helps.

Subject pages, topic pages, starter tracks, and guided collections are here when you want a different way to explore the same concepts.

Subjects

Open subject pages

Open these when you want the bigger subject view before filtering.

Newer subject branch4 topics2 starter tracks

Math

Enter the current math slice through graph transformations, rational-function asymptotes, exponential change, vectors, complex-plane geometry, trig identities, inverse-angle reasoning, polar coordinates, and parametric motion without leaving the same live-bench product language used elsewhere on the site.

Fastest honest route

Functions and Change is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.

Topic

Functions

Starter track

Functions and Change

Lesson set

Goal path

Build function and rate intuition from the graph first

Open Math Start Functions and Change

Newer subject branch3 topics3 starter tracks

Chemistry

Enter the current chemistry slice through reaction-rate ideas, a stoichiometry-and-yield recipe branch, and a broader solutions-and-pH branch without leaving the same simulation-first product architecture.

Fastest honest route

Rates and Equilibrium is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.

Topic

Rates and Equilibrium

Starter track

Rates and Equilibrium

Lesson set

Rates and Equilibrium Lesson Set

Goal path

Build chemistry intuition through stoichiometry and yield

Open Chemistry Start Rates and Equilibrium

Newer subject branch1 topic1 starter track

Computer Science

Enter the current computer-science slice through one bounded algorithms-and-search branch where visible list work now widens into one shared graph-traversal bench without leaving the product's simulation-first architecture.

Fastest honest route

Algorithms and Search Foundations is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.

Topic

Algorithms and Search

Starter track

Algorithms and Search Foundations

Playlist

Algorithms and Search Playlist

Goal path

Build computer-science intuition through algorithms and search

Open Computer Science Start Algorithms and Search Foundations

Subject directory

Open subjects

Subject14 topics66 concepts

Physics

Enter the current physics catalog through motion, gravity, waves, sound, fields, circuits, light, and modern-physics benches that still share one compact simulation-first product language.

Motion and Circular Motion is the clearest bounded first route.

Subject4 topics16 concepts

Math

Functions and Change is the clearest bounded first route.

Subject3 topics9 concepts

Chemistry

Rates and Equilibrium is the clearest bounded first route.

Subject1 topic6 concepts

Computer Science

Algorithms and Search Foundations is the clearest bounded first route.

Guided starts

Open tracks and guided collections

19 tracks and 10 guided collections stay here when you want a sequence instead of choosing every concept yourself.

Starter tracks

Stay in concepts

Starter track3 concepts75 min

Motion and Circular Motion

Start with vector components, move into projectile paths, and then use circular motion to understand how velocity can keep changing direction.

Starts with Vectors and Components across 3 concepts.

Starter track5 concepts130 min

Rotational Mechanics

Start with torque as the turning effect of force, use centre of mass and support region for static balance, then carry the same rotational language into moment of inertia, rolling motion, and angular momentum.

Starts with Torque across 5 concepts.

Starter track5 concepts135 min

Gravity and Orbits

Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.

Starts with Gravitational Fields across 5 concepts.

Starter track3 concepts80 min

Oscillations and Energy

Build from one clean oscillator to energy exchange and then to driven resonance, so the same system grows without changing its core ideas.

Starts with Simple Harmonic Motion across 3 concepts.

Starter track5 concepts145 min

Fluid and Pressure

Start with pressure in a resting fluid, then carry that same branch through continuity, Bernoulli, buoyancy, and drag-limited motion.

Starts with Pressure and Hydrostatic Pressure across 5 concepts.

Starter track9 concepts230 min

Waves

Use oscillation as the entry point, lock down wave speed and wavelength, carry that into longitudinal sound and pitch-versus-loudness cues, add beats as the nearby-frequency superposition bridge, then move into Doppler shifts, interference, standing-wave patterns, and open-vs-closed air-column resonance without losing the live connection between motion and graph.

Starts with Simple Harmonic Motion across 9 concepts.

Starter track4 concepts125 min

Thermodynamics and Kinetic Theory

Start with temperature-versus-internal-energy bookkeeping, reuse that particle story for gas pressure, then follow energy transfer into heating curves and phase-change shelves.

Starts with Temperature and Internal Energy across 4 concepts.

Starter track6 concepts160 min

Electricity

Start with source charges and voltage, then carry that same circuit story into current, power, branch behavior, and equivalent resistance.

Starts with Electric Fields across 6 concepts.

Starter track3 concepts80 min

Magnetism

Start with current-made magnetic fields, turn changing flux into induced emf with Faraday and Lenz, and then reuse that same field direction story to explain magnetic force on charges and currents.

Starts with Magnetic Fields across 3 concepts.

Starter track5 concepts120 min

Sound and Acoustics

Stay on the sound branch long enough that longitudinal motion, pitch-versus-loudness cues, beats, Doppler shifts, and open-vs-closed air-column resonance feel like one acoustics path instead of isolated pages.

Starts with Sound Waves and Longitudinal Motion across 5 concepts.

Starter track5 concepts145 min

Wave Optics

Follow the bounded wave-optics branch from polarization into diffraction, double-slit interference, color-dependent refraction, and imaging limits so the newer optics pages read like one compact path instead of isolated stops.

Starts with Polarization across 5 concepts.

Starter track5 concepts150 min

Modern Physics

Follow the bounded modern-physics branch from threshold emission into line spectra, matter waves, the Bohr hydrogen model, and half-life so the new concept set reads like one path instead of five isolated pages.

Starts with Photoelectric Effect across 5 concepts.

Starter track6 concepts139 min

Functions and Change

Keep the first math path compact: read parent-curve moves first, then rational asymptotes and domain breaks, then exponential growth and decay, local slope, visible limit behavior, and finally accumulation so change stays graph-first all the way through.

Starts with Graph Transformations across 6 concepts.

Starter track6 concepts140 min

Complex and Parametric Motion

Start with complex numbers as points on one plane, turn that plane into unit-circle and polar-coordinate geometry, deepen that same bench into trig identities and inverse-angle reasoning, then carry the coordinate language into motion traced from x(t) and y(t).

Starts with Complex Numbers on the Plane across 6 concepts.

Starter track2 concepts50 min

Vectors and Motion Bridge

Start with vectors as geometric objects on a 2D plane, then carry the same component language into the existing motion-facing vectors bench.

Starts with Vectors in 2D across 2 concepts.

Starter track2 concepts50 min

Rates and Equilibrium

Start with successful collisions setting reaction rate, then reuse the same chemistry language inside a reversible system that re-balances after a disturbance.

Starts with Reaction Rate / Collision Theory across 2 concepts.

Starter track3 concepts72 min

Stoichiometry and Yield

Start with one visible reaction recipe, use the lower batch cap to identify the limiting reagent, and then compare actual output with the same theoretical marker.

Starts with Stoichiometric Ratios and Recipe Batches across 3 concepts.

Starter track4 concepts95 min

Solutions and pH

Start with concentration in one beaker, add solubility limits and saturation, then reuse that same solution language to read pH, buffers, and neutralization.

Starts with Concentration and Dilution across 4 concepts.

Starter track6 concepts138 min

Algorithms and Search Foundations

Start with visible list work, reuse that search language for binary search, and then carry the branch into one live graph bench for adjacency, BFS, DFS, and visited-state behavior.

Starts with Sorting and Algorithmic Trade-offs across 6 concepts.

Guided collections

Open guided paths

Lesson set4 steps9 concepts

Waves Evidence Loop

Use one topic page, one starter track, and one focused challenge so the wave story stays bounded for a teacher-led lesson block.

A sequenced set of 9 concepts.

Lesson set6 steps6 concepts

Electricity Bridge Lesson Set

Move from field cause to voltage to the first full electricity track without leaving the current concept, topic, and challenge surfaces.

A sequenced set of 6 concepts.

Playlist5 steps11 concepts

Electricity to Magnetism Bridge

Use the existing electricity recap, magnetic starter track, and Maxwell capstone surfaces to move into electromagnetism without turning the branch into a full LMS sequence.

A sequenced set of 11 concepts.

Open playlist

Lesson set4 steps7 concepts

Functions and Change Lesson Set

Use the functions topic page, the existing graph-first starter track, one accumulation checkpoint, and the calculus topic page so the early math branch stays compact for a teacher-led lesson block.

A sequenced set of 7 concepts.

Lesson set4 steps7 concepts

Vectors to Mechanics Bridge

Use the vectors topic page, the short bridge track, one endpoint checkpoint, and the mechanics topic page so the math-to-motion handoff stays compact and teacher-usable.

A sequenced set of 7 concepts.

Lesson set4 steps9 concepts

Complex and Parametric Motion Lesson Set

Use the complex-and-parametric topic page, the authored starter track, one parametric-motion checkpoint, and the vectors topic page so the plane-based math branch stays compact and teacher-usable.

A sequenced set of 9 concepts.

Lesson set4 steps6 concepts

Rates and Equilibrium Lesson Set

Use the chemistry topic page, the compact starter track, one rebalance checkpoint, and the solutions-and-pH topic page so the chemistry branch feels packaged instead of isolated.

A sequenced set of 6 concepts.

Lesson set4 steps7 concepts

Stoichiometry and Yield Lesson Set

Use the stoichiometry topic page, the compact starter track, one percent-yield checkpoint, and the solutions-and-pH topic page so chemistry quantities stay bounded and teacher-usable.

A sequenced set of 7 concepts.

Lesson set4 steps6 concepts

Solutions and pH Lesson Set

Use the solutions-and-pH topic page, the authored starter track, one buffer checkpoint, and the rates-and-equilibrium topic page so the broader chemistry branch stays compact and teacher-usable.

A sequenced set of 6 concepts.

Playlist4 steps6 concepts

Algorithms and Search Playlist

Use the algorithms-and-search topic page, the compact starter track, one focused graph-traversal revisit, and filtered challenges so the CS branch stays bounded and extension-ready.

A sequenced set of 6 concepts.

Open playlist

Topics

Open topic pages

Open these when you want concepts grouped by topic first.

Topic directory

Open topics

TopicPhysics11 concepts

Mechanics

Use vectors, trajectories, circular motion, turning effects, momentum, and collisions to read motion and interactions on one compact simulation-first branch.

Vectors is still the cleanest first concept here.

TopicPhysics5 concepts

Gravity and Orbits

Start with the gravitational field of one source mass, then keep the same model while potential wells, circular orbits, orbital periods, and escape speed stay tied together.

Gravity fields is still the cleanest first concept here.

TopicPhysics3 concepts

Oscillations

Keep one oscillator in view while displacement, restoring force, energy exchange, damping, and driven resonance stay on the same bounded branch.

SHM is still the cleanest first concept here.

TopicPhysics4 concepts

Waves

Move from one traveling wave into Doppler shifts, interference, and standing-wave patterns so wavelength, phase, and allowed modes stay visually connected.

Wave speed is still the cleanest first concept here.

TopicPhysics4 concepts

Sound

Keep sound tied to a real medium while longitudinal motion, pitch and loudness, beats, and air-column resonance stay on one bounded acoustics branch.

Sound waves is still the cleanest first concept here.

TopicPhysics5 concepts

Fluids

Start with pressure as force per area, then keep the fluids story coherent through hydrostatic pressure, steady-flow continuity, Bernoulli's speed-pressure-height trade, buoyancy from displaced fluid, and resistive drag that settles into terminal speed.

Pressure in fluids is still the cleanest first concept here.

TopicPhysics4 concepts

Thermodynamics

Separate temperature from total internal energy, bridge that microscopic story into gas pressure and the ideal-gas law, then follow how thermal energy crosses boundaries and shapes honest heating curves on one compact thermal branch.

Temperature vs U is still the cleanest first concept here.

TopicPhysics3 concepts

Electricity

Focus on charges, electric fields, electric potential, and capacitor storage so source, voltage, and stored electric energy stay clear before the current-and-circuit branch takes over.

E-fields is still the cleanest first concept here.

TopicPhysics7 concepts

Circuits

Use one bounded circuit branch to connect current, voltage, Kirchhoff balance, time response, non-ideal source behavior, power, and equivalent resistance without leaving the same battery-and-load language.

Circuits is still the cleanest first concept here.

TopicPhysics2 concepts

Magnetism

Start with the magnetic field made by current, then use that same field to explain forces on moving charges and current-carrying wires.

B-fields is still the cleanest first concept here.

TopicPhysics3 concepts

Electromagnetism

Use changing magnetic flux, Maxwell's four-law synthesis, and electromagnetic waves to see how time-varying fields couple and propagate.

Faraday / Lenz is still the cleanest first concept here.

TopicPhysics7 concepts

Optics

Follow light as a wave through polarization, diffraction, double-slit interference, refraction, dispersion, and total internal reflection before image-forming systems split into their own branch.

Light and spectrum is still the cleanest first concept here.

TopicPhysics3 concepts

Mirrors and Lenses

Compare mirrors and lenses as image-forming systems, then use diffraction limits to understand why real instruments cannot resolve arbitrarily fine detail.

Mirrors is still the cleanest first concept here.

TopicPhysics5 concepts

Modern Physics

Keep the modern-physics branch bounded with the photoelectric effect, atomic spectra, de Broglie matter waves, the Bohr model, and radioactivity / half-life so threshold emission, discrete lines, matter wavelength, quantized hydrogen levels, and probabilistic nuclear decay all stay tied to compact, visually honest benches instead of detached historical anecdotes.

Photoelectric effect is still the cleanest first concept here.

TopicMath3 concepts

Functions

Use parent-curve moves, a shifted reciprocal family, and one exponential bench so graph moves, asymptotes, domain breaks, growth versus decay, and target-time questions stay tied to the same visual branch before the math path widens into local and accumulated change.

Graph transforms is still the cleanest first concept here.

TopicMath4 concepts

Calculus

Start from slope on the graph itself, use one constrained rectangle bench to make a real maximum visible, keep limit and continuity behavior available on one target point, and then widen into signed area and accumulation so rate and total change stay connected on one visual branch.

Derivative as slope is still the cleanest first concept here.

TopicMath3 concepts

Vectors

Use one 2D plane to read vectors as arrows, ordered pairs, matrix actions, alignment measures, and projections before the same language bridges into motion.

2D vectors is still the cleanest first concept here.

TopicMath6 concepts

Complex Numbers and Parametric Motion

Use one bounded math branch where the complex plane, unit-circle rotation, polar coordinates, trig identities, inverse-angle reasoning, and motion traced from equations all stay tied to the same coordinate language.

Complex numbers is still the cleanest first concept here.

TopicChemistry2 concepts

Rates and Equilibrium

Use one compact chemistry branch where collision success explains reaction rate first, then the same particle language widens into reversible change and a new equilibrium mix.

Reaction rate is still the cleanest first concept here.

TopicChemistry3 concepts

Stoichiometry and Yield

Use one compact chemistry branch where a visible recipe bench connects stoichiometric ratios, limiting reagent, and percent yield without leaving the same particle-and-recipe language.

Recipe ratios is still the cleanest first concept here.

TopicChemistry4 concepts

Solutions and pH

Use one compact chemistry branch where concentration, solubility, acid-base balance, buffers, and pH all stay attached to the same bounded solution story.

Concentration is still the cleanest first concept here.

TopicComputer Science6 concepts

Algorithms and Search

Use one bounded CS branch where visible list work grows into one coherent graph-traversal bench, so sorting, binary search, adjacency, BFS, DFS, and visited-state behavior stay on compact live surfaces.

Sorting trade-offs is still the cleanest first concept here.