Ilim Lab

All Simulations

Choose simulations in physics, chemistry, biology, and math and start a lesson in minutes

AC Circuits

Physics

Compare R, RC, RL, and RLC circuits: phase, impedance, resonance.

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Amino Acids and Proteins

Chemistry

Build a protein molecule! Connect amino acids with peptide bonds and observe the formation of a long polymer chain, the basis of all life.

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Ammonia (NH₃)

Chemistry

Explore the ammonia molecule. Learn how the lone electron pair of nitrogen turns the molecule into a trigonal pyramid and creates a dipole moment.

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Angles and Protractor

Mathematics

Learn to measure the world in degrees! Estimate angles by eye, use a virtual protractor, and construct specific angles with high precision.

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Animal Breeding and Selection

Biology

Become an animal breeder! Select rabbits for fur density and stamina, breed them over several generations, and create a new unique breed.

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Animal Classification

Biology

Explore the animal kingdom. Compare vertebrates and invertebrates, identify classes by key traits (structure, habitat), and test your knowledge in mini-missions.

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Apollo Parachute Descent

Physics

Ensure a soft landing! Deploy drogue and main parachutes at the right altitude, account for air resistance, and safely splash the capsule into the ocean.

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Apollo Re-entry

Physics

Control the spacecraft! Adjust the entry angle into Earth's atmosphere so the capsule neither burns up from friction nor skips back into space.

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Atom, Orbitals and Quantum Numbers

Chemistry

Build the electron shell of any element. Fill s, p, d, and f orbitals according to Hund's and Pauli's rules, exploring the quantum numbers of each electron.

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Blood Circulation and the Heart

Biology

Trace the path of blood through the systemic and pulmonary circulatory systems. Study the internal structure of the heart, valve functions, and the transport of oxygen from lungs to organs.

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Respiratory System and Gas Exchange

Biology

Follow the path of air from the trachea to the alveoli. Observe microscopic gas exchange (how O₂ enters the blood and CO₂ leaves) and compare breathing rates at rest and during exercise.

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Buffon's Needle

Mathematics

An amazing way to calculate π! Throw virtual needles onto a lined floor and see how the probability of crossing the lines is related to the famous number.

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Build a Nucleus

Physics

Feel like a creator of elements! Add protons and neutrons to the nucleus, create various isotopes, and test them for radioactive stability.

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Buoyancy

Physics

Why don't ships sink? Drop blocks of different volume and mass into water. Compare their densities with the fluid's density and study the buoyant force.

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Capacitor

Physics

Charge and discharge a capacitor and explore the RC time constant.

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Cell Structure

Biology

Explore the microworld! Look inside a living cell, study the functions of all organelles, and find the key differences between plant and animal cells.

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Charges and Fields

Physics

Visualize the invisible! Place electric charges on the screen and observe how electric field lines and equipotential surfaces are formed.

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Chemical Bond and Molecular Geometry

Chemistry

Build molecules from atoms! Draw Lewis structures, account for lone electron pairs, and learn how they shape the 3D geometry of molecules via VSEPR theory.

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Chemical Equilibrium

Chemistry

How does a system react to stress? Change concentration, temperature, and pressure to see how chemical equilibrium shifts according to Le Chatelier's principle.

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Centripetal Acceleration

Physics

Spin the physics carousel! Change the mass, velocity, and orbit radius to understand how they affect centripetal acceleration and the force keeping an object in a circle.

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Collisions in 2D

Physics

Move into 2D space! Control balls on a plane, adjust their velocity vectors, and study the conservation of momentum across both X and Y axes simultaneously.

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Collisions in 1D

Physics

Study the physics of crashes and billiards. Collide carts on a track and verify how momentum and kinetic energy are conserved in perfectly elastic and inelastic collisions.

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Complex Compounds

Chemistry

Become a molecule architect! Select a central ion, attach ligands to it, and create stable complex compounds with desired properties.

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Coordinate Transformations

Mathematics

Play with space! Draw geometric shapes in the Cartesian coordinate system, translate them along axes, rotate, and reflect them across the center or lines.

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Coulomb's Law

Physics

Explore electrostatics! Change the magnitude and sign of charges, move them, and observe how the force of attraction or repulsion depends on the square of the distance.

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Covalent Bond

Chemistry

Discover how atoms share electrons! Bring nonmetals together and observe the formation of shared electron pairs to achieve a stable octet.

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Crack the Enigma

Mathematics

Feel like a WWII cryptanalyst. Study the inner workings of the Enigma cipher machine and try to crack the code using cribs (known fragments of text).

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Crystal Lattices

Chemistry

Study the macroworld through microstructure. Compare atomic, molecular, and ionic lattices (diamond, dry ice, salt) and understand why they have different physical properties.

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Sphere and Cylinder

Mathematics

Explore 3D geometry. Rotate a sphere inscribed in a cylinder, study their planar cross-sections, and visually prove that their volumes have a 2:3 ratio.

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Diffusion of Gases and Liquids

Physics

Observe the random motion of molecules. Study how temperature, particle mass, and concentration affect the speed of substance mixing (diffusion).

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Digestion and Enzymes

Biology

How does food turn into energy? Explore the anatomy of the digestive tract, the role of pH, and specific enzymes (amylase, pepsin, lipase) in breaking down proteins, fats, and carbohydrates.

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Discover Neptune!

Physics

Become a discoverer! Adjust the mass and orbit of a hypothetical Planet X so that its gravity explains the strange perturbations in Uranus's motion.

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Discover π

Mathematics

Recreate Newton's historical discovery! Calculate the number π by approximating the area of a quarter circle using binomial expansion and series.

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DNA

Biology

Study the structure of life's most important molecule! Build the second DNA strand using complementarity rules (A-T, G-C), explore codons, and start the process of genetic code replication.

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Eco-Balance

Physics

Manage a closed biosphere! Maintain the fragile balance of oxygen and carbon dioxide, control species populations, and ensure the survival of the ecosystem.

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Electrolysis

Chemistry

Pass current through salt and acid solutions. Discover why copper deposits or hydrogen evolves at the cathode, and test Faraday's law in action.

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Energy Track

Physics

Create your own skate park! Launch a skater on a ramp and track in real-time how potential energy converts into kinetic energy and is lost to friction.

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Equation Balance Scales

Mathematics

Solve positive linear equations on honest balance scales: equal actions on both sides, equal-group sharing, and substitution check.

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Evolution

Biology

Witness the mechanisms of evolution in action. Observe how predators and habitat environments affect the frequency of traits (like color) in a bug population over generations.

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Excretory System and Kidney Function

Biology

Trace the path of blood filtration in the kidneys. Study the nephron structure, the process of urine formation, and learn how the body maintains water-salt balance.

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Forces and Motion

Physics

Understand Newton's second law. Apply force to objects of different masses, account for friction, and observe how the body's acceleration and velocity change.

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Fractions

Mathematics

Add fractions visually! Divide a pizza or chocolate bar into equal parts and find their exact position on the number line.

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Function Graph Transformations

Mathematics

How do you get any function from a basic one? Learn the rules of mathematical transformations: translations, stretchings, compressions, and reflections of graphs.

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Gas Laws

Physics

Control pressure, volume, and temperature! Compress the piston, heat the gas, and watch the molecules move to understand the macroscopic properties of a gas.

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Geometric Optics

Physics

Learn the laws of optics! Move lenses, mirrors, and light sources to understand how rays refract and how real and virtual images are formed.

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Glucose and Mutarotation

Chemistry

Unlock the secrets of sugars! Explore how a linear glucose molecule folds into a cyclic alpha- or beta-form and dynamically transitions from one to the other.

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Ideal Heat Engine

Physics

Design an ideal heat engine! Change the temperatures of the hot and cold reservoirs to understand what determines efficiency and why the Carnot limit cannot be exceeded.

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Hooke's Law and Spring Energy

Physics

Study elastic deformations. Stretch and compress a spring, change its stiffness, and track how the restoring force is related to potential energy.

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Hydrogen Bond

Chemistry

Discover the secret of liquid water. Observe how polar molecules attract each other due to weak intermolecular forces — hydrogen bonds.

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Hydrostatic Pressure

Physics

Measure the pressure at the bottom of a pool. Study how fluid depth, density, and planetary gravity affect the pressure of a liquid column.

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Wave Interference

Physics

Observe the magic of wave physics. Create waves from multiple sources and see how they superimpose, constructively amplifying or destructively canceling.

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Kepler's Laws

Physics

Grasp celestial mechanics. Observe planets moving in ellipses, verify the law of equal areas, and measure how orbital period depends on orbital radius.

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Law of Universal Gravitation

Physics

How are planets kept in orbit? Change the masses of two bodies and the distance between them to explore how the force of gravitational attraction works.

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Lever

Physics

Study the principles of a lever. Place loads of different masses on a beam, calculate the torque, and find the perfect balance point.

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Stoichiometry

Chemistry

Master stoichiometry in practice! Build molecules according to a chemical 'recipe' and determine which substance runs out first, stopping the reaction.

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Linear Functions: y = mx + b

Mathematics

Understand the essence of a straight line. Change the slope (m) and intercept (b), find intersection points with axes, and solve systems of linear equations graphically.

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Systems of Linear Equations

Mathematics

Find the intersections of lines! Solve systems of equations graphically and explore three possible cases: one solution, no solutions (parallel), or infinitely many.

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Electromagnetic Induction

Physics

Discover Faraday's law. Move a magnet through a wire coil and watch how a changing magnetic field generates an induced current and lights a bulb.

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Mars Base Builder

Physics

Build an autonomous energy system. Manage solar power during the day, charge batteries, and ensure the base has uninterrupted power throughout the cold Martian night.

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Mars Bridge Builder

Physics

Design a reliable bridge for the Mars rover. Learn the physics of structures: load distribution, tension, and compression forces to build the strongest truss.

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Electric Circuits on Mars

Physics

Help power the Mars base. Build electrical circuits using sources, resistors, and lamps, explore Ohm's law, and study series and parallel connections.

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Martian Rabbits

Physics

Explore the impact of environment on survival. Change the Martian climate and observe which advantageous traits help a population of Martian rabbits adapt and survive.

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Robots on Mars

Physics

Step into the shoes of a software engineer! Create a proper sequence of commands to navigate the Mars rover around obstacles and reach its target.

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Earth-Mars Signal Transmission

Physics

Experience communication delay in space! Calculate the radio signal travel time and control the Mars rover from afar, considering the physics of wave propagation.

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Genetics

Biology

Classical genetics in action! Perform pea crosses, build Punnett squares, and study the patterns of dominant and recessive trait transmission from parents to offspring.

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Metallic Bond

Chemistry

Look inside a metal! Observe how positive ions are held in a crystal lattice by a freely moving 'electron gas', providing malleability and conductivity.

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Mitosis

Biology

Witness the creation of life! Go through all phases of cell division—from prophase to telophase—and track how chromosomes separate to form two new cells.

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Möbius Strip and Klein Bottle

Mathematics

Dive into crazy topology! Rotate and study paradoxical one-sided surfaces: the Möbius strip and the mysterious Klein bottle with no internal volume.

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Moon Phases

Physics

Understand Moon phases and their link to orbital position.

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Neuron and Nerve Impulse Transmission

Biology

How do brain cells communicate? Follow the path of an electrical signal along a neuron's axon, study the synapse mechanism, and the release of neurotransmitters.

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Allotropy of Nonmetals

Chemistry

One element — different properties! Compare the structures of diamond and graphite, oxygen and ozone, phosphorus, and sulfur to understand the nature of allotropy.

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Inequalities on a Number Line

Mathematics

Visualize inequalities. Plot strict and non-strict intervals on the number line, find intersections of sets, and solve systems of inequalities.

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Organics

Chemistry

Find out how the same composition yields different properties! Build isomers, modify the carbon skeleton, and identify functional groups.

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Organic Reactions

Chemistry

Understand the mechanisms of organic chemistry! Recognize reaction types: substitution, addition, elimination, and polymerization.

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Elementary Particles

Physics

Discover the building blocks of the universe! Explore the Standard Model, assemble protons and neutrons from quarks, and investigate fundamental interactions.

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Mathematical Pendulum

Physics

Explore the laws of oscillation. Change the string length, bob mass, and release angle to understand what affects the period and frequency of a pendulum.

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Percentages and Discounts

Mathematics

Become a finance master! Calculate sale discounts, taxes, and markups. Solve direct and inverse percentage problems easily and quickly.

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pH & Neutralization

Chemistry

Mix reagents like a true chemist! Add acid or base, monitor the pH of the solution, and learn how to achieve complete neutralization.

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Phase Transitions

Physics

Grasp the mystery of states of matter! Heat ice and observe how the temperature graph changes during melting and boiling while latent heat does its work.

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Signs of Chemical Reactions

Chemistry

Learn to distinguish physical phenomena from chemical ones! Conduct virtual experiments and observe gas evolution, color changes, or precipitate formation.

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Plant Breeding and Selection

Biology

Create the perfect tomato variety! Improve fruit size, yield, and drought resistance from generation to generation, finding the right balance between useful qualities.

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Probability and Frequency

Mathematics

Grasp the laws of randomness! Run tens and hundreds of trials (coin flips or dice rolls) to see how the frequency of an event approaches its probability.

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Progressions: Ladder vs Grains

Mathematics

See the gap between linear and exponential growth: an arithmetic ladder, grains doubling on a chessboard, and simple vs compound interest in a bank deposit.

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Projectile Motion

Physics

Calculate the perfect throw! Change the angle, initial velocity, and height to hit the target. Observe the flight trajectory and velocity vectors in real-time.

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Protein Biosynthesis

Biology

Trace the path from gene to trait. First, copy information from DNA to mRNA (transcription), and then assemble the protein on a ribosome (translation).

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Volume of Pyramid and Cone

Mathematics

Uncover the secret of the 1/3 volume formula. Compare a pyramid with a prism and a cone with a cylinder to visually prove why their volumes relate as one to three.

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Pythagorean Theorem

Mathematics

Squares on the sides of a right triangle and a rearrangement proof: change the legs and verify that a² + b² = c².

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Parabola: y = ax² + bx + c

Mathematics

Explore the quadratic function. Control the coefficients a, b, and c to observe how the vertex shifts, the shape changes, and the roots of the parabola appear.

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Qualitative Reactions

Chemistry

Become an analytical chemist! Perform qualitative reactions with reagents and identify unknown ions by the color of the precipitate or the smell of the gas.

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Reaction Rate and Catalysts

Chemistry

Control chemical collisions! Change temperature, add catalysts, and overcome activation energy barriers to speed up the chemical reaction.

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Redox Reactions

Chemistry

Track the invisible exchange! Study oxidation and reduction at the atomic level by observing electron transfer between reactants.

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Galvanic Cell

Chemistry

Build your own battery! Connect the electrodes and salt bridge, and watch how chemical energy is converted into electrical current.

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Riemann Sums and Integral

Mathematics

Understand the idea of integration! Divide the area under a curve into rectangles or trapezoids, increase their number, and observe how the sum approaches the exact integral.

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Right-Triangle Trigonometry

Mathematics

Drag the angle and watch how sin, cos and tan link the sides of a right triangle — through a ladder, a shadow and a mountain.

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Rutherford Scattering

Physics

Look inside the atom! Bombard gold foil with alpha particles and observe their scattering to prove the existence of a dense atomic nucleus.

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Human Skeleton

Biology

Explore the regions of the skeleton, bone structure and types of bone joints.

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Sky and Ecliptic

Physics

Navigate by the stars! Explore the celestial sphere, find planets and zodiac constellations using the horizon, ecliptic, and equatorial coordinates.

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Solutions and Dilution

Chemistry

Learn to prepare solutions of desired concentration! Mix liquids, perform serial dilutions, and verify calculations using a pipette and volumetric flask.

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Solution Mixing and Diffusion

Chemistry

Explore the process of dissolving substances in water. Calculate the final concentration when mixing, observe particle diffusion, and see how using a stirrer accelerates homogeneity.

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Sound

Physics

See how the world sounds! Change the frequency and amplitude of a sound wave to understand how they determine pitch and loudness.

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Statistics

Mathematics

Learn the basics of statistics. Add data points, move them around, and observe how the arithmetic mean, median, mode, and outliers react to changes.

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Strong and Weak Acids and Bases

Chemistry

Compare strong and weak electrolytes: watch dissociation at the particle level, test solutions with a light bulb, and see why equal concentrations give different pH.

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Triangle: angles & congruence

Mathematics

Drag the vertices, tear the angles into a 180° sum, build triangles by the SAS, ASA and SSS criteria, and compare angles at parallel lines and a transversal.

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Trigonometry

Mathematics

Unlock the secret of trigonometry using the unit circle. Rotate the radius and visually link the angle with sine, cosine, and tangent.

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Vectors on a Plane

Mathematics

Control direction and magnitude! Draw vectors, find their coordinates, projections on axes, and master the rules of vector addition and subtraction.

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Vitamins

Biology

Discover how vitamins help our body! Learn their roles (vision, bones, immunity), find main food sources, and practice building a balanced and healthy meal plate.

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