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Challenge hub138 prompts80 concepts16 topics19 guided paths

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Every entry here is still the existing Challenge mode inside a shared concept page. The hub only makes those tasks visible by topic, concept, and starter-track path while reusing the current canonical content and local-first progress store.

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Short-period match

Starting from Calm start, make the oscillator complete a shorter cycle without turning it into a wider swing. Keep the displacement graph open so the timing change stays visible.

Simple Harmonic Motion

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Oscillations and Waves3 checksGraph-linkedGuided start
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Compare-heavyTo tryStretchCondition

Compare the timing

Use compare mode to keep a calm baseline in Setup A and make Setup B cycle faster while both setups keep about the same swing size.

Simple Harmonic Motion

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Oscillations and Waves5 checksCompare modeGraph-linkedGuided start
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Guided paths

Use starter tracks when you want challenge discovery to stay ordered.

These cards reuse the current starter tracks instead of inventing a separate challenge curriculum. The path stays small, the concepts stay canonical, and the challenge links still land in the existing concept pages.

Starter track8 prompts3 concepts

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.

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Short-period force band in Uniform Circular Motion is the best current entry from this path.

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Starter track15 prompts5 concepts

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.

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Zero turn at the handle in Torque is the best current entry from this path.

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Starter track12 prompts5 concepts

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.

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Keep the heavier source circular in Circular Orbits and Orbital Speed is the best current entry from this path.

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Starter track6 prompts3 concepts

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.

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Short-period match in Simple Harmonic Motion is the best current entry from this path.

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Starter track10 prompts5 concepts

Fluid and Pressure

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

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Build the 27 kPa throat in Bernoulli's Principle is the best current entry from this path.

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Starter track15 prompts8 concepts

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.

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Short-period match in Simple Harmonic Motion is the best current entry from this path.

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Starter track8 prompts4 concepts

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.

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Same contrast, slower loss in Heat Transfer is the best current entry from this path.

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Starter track7 prompts6 concepts

Electricity

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

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Build the upward field in Electric Fields is the best current entry from this path.

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Starter track6 prompts3 concepts

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.

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High flux, zero emf in Faraday's Law and Lenz's Law is the best current entry from this path.

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Starter track9 prompts5 concepts

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.

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Tune slow pulses in Beats is the best current entry from this path.

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Starter track10 prompts5 concepts

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.

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Set a half-power case in Polarization is the best current entry from this path.

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Starter track10 prompts5 concepts

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.

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Find the stopping point in Photoelectric Effect is the best current entry from this path.

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Starter track6 prompts6 concepts

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.

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Reflect and land the vertex in Graph Transformations is the best current entry from this path.

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Starter track4 prompts4 concepts

Complex and Parametric Motion

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

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Rotate onto the positive imaginary axis in Complex Numbers on the Plane is the best current entry from this path.

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Starter track3 prompts2 concepts

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.

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Equal components in Vectors and Components is the best current entry from this path.

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Starter track2 prompts2 concepts

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.

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More success, not just more hits in Reaction Rate / Collision Theory is the best current entry from this path.

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Starter track3 prompts3 concepts

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.

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Build the matched 3:2 run in Stoichiometric Ratios and Recipe Batches is the best current entry from this path.

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Starter track4 prompts4 concepts

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.

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Dilute without losing solute in Concentration and Dilution is the best current entry from this path.

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Starter track2 prompts2 concepts

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.

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Use insertion where it pays off in Sorting and Algorithmic Trade-offs is the best current entry from this path.

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Showing 2 of 138 challenge entries. Active filters: Algorithms and Search Foundations.
Algorithms and SearchTo tryCoreCondition7 checks

Use insertion where it pays off

Build a case where insertion sort finishes a nearly sorted list with very few writes.

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.

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Graph-linkedGuided startAlgorithms and Search Foundations 1/6
Algorithms and SearchTo tryCoreCondition7 checks

Find a far-right target fast

Build a large ordered list where the target sits near the far-right edge, but binary search still finds it in five checks or fewer.

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.

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Graph-linkedGuided startAlgorithms and Search Foundations 2/6