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How your eye sees: from cornea to retina, step by step

The human eye is an optical instrument in which the cornea and lens refract light to form an inverted, real, diminished image on the retina. The retina sits a fixed 2.5 cm behind the lens, so the ciliary muscles change the lens curvature to keep the focus sharp. That is accommodation: 40 D for a distant object, 44 D at 25 cm.

Not to scale: distances and the focus offset are exaggerated.

Light from the top of the objectLight along the axis

Click any part, or pick one from the list

Speed

Controls

100 cm
50 %

Type of eye

Readings

Object distance
100cm
Lens power P = 1/f
41.00D
Focal length f
2.44cm
Image distance v (lens to retina)
2.50cm
Near point
25.0cm
Far point
∞
Pupil diameter
5.0mm
Ciliary muscle
Relaxed
Lens shape
Thin
Image falls
On the retina (sharp)

How to use this simulation

  1. Press play and drag the object distance slider. As the object comes closer, the ciliary muscle turns red and thickens, the suspensory ligaments go slack, the lens bulges and its power P rises. The image stays on the retina the whole time.
  2. Drag the light intensity slider. More light and the iris squeezes the pupil down; less light and it opens wide. The same thing happens in your own eye when you switch a room light on or off.
  3. Choose myopia or hypermetropia under the type of eye. The image now lands in front of or behind the retina and blurs. Tick “Wear the correcting lens”: a concave or convex lens moves the image back onto the retina.
  4. Click any part of the drawing, or choose it from the list. It lights up and its job appears below. On a small screen the names become numbers, with the key under the picture.
  5. Watch the readings for lens power, focal length, near point and far point. Slide the object to 10 cm and even the normal eye blurs: that is inside the near point.

Try this first: make a dot vanish

Draw a small plus sign on a sheet of paper and a thick dot 8 cm to its right. Hold the paper at arm’s length, close your left eye and keep your right eye fixed on the plus. Now bring the paper slowly towards your face without looking at the dot. At about 30 cm the dot suddenly disappears. Move closer still and it comes back.

The arithmetic is simple. The blind spot sits about 15° to the side of the fovea, so the dot lands on it at a distance of 8 ÷ tan 15° ≈ 30 cm. You just found a place in your own eye where there are no light sensors at all.

You never notice it in daily life because the two eyes have their blind spots in different places and the brain fills the gap from the surroundings. This page takes the eye apart. Another oddity is coming too: the picture on your retina is completely upside down, yet you see the world the right way up.

The eye is a living camera

Comparing the eye with a camera makes the parts easier to remember. Both let light into a dark box and form a picture on a screen. The difference is that the eye adjusts its own light, its own focus and its own screen.

Camera partEye partJob
LensCornea and eye lensBend light to bring it to a focus
Diaphragm (aperture)Iris and pupilDecide how much light gets in
Film or sensorRetinaCatch the light and make electrical signals
Dark boxEyeball (sclera and choroid)Block stray light so the image stays clear
Moving the lens to focusChanging the lens shape (accommodation)Focus on near or far objects
CableOptic nerveCarries the signals to the brain
Lens capEyelidCovers the eye and wipes away dust

Meet the parts: one job each

The human eyeball is nearly spherical, about 2.3 cm across. Let us follow the light from the outside in. Read the six groups below, then find all twelve parts in one table. You can also click each part in the simulation to check.

Sclera and choroid: the outer wall

The white of the eye is the sclera, a tough white coat that holds the eyeball’s shape and protects what is inside. Under it lies the dark choroid, rich in blood vessels. The choroid soaks up stray light so it does not bounce around and blur the picture, much like the black paint inside a camera.

Cornea and aqueous humour: the front window

The transparent dome at the front is the cornea. It has no blood vessels, which is why it is clear. Most of the bending of light happens here, about two thirds of the eye’s total power. Behind it, the space up to the lens is filled with aqueous humour, a clear watery fluid. It keeps the cornea in shape, feeds the cornea and the lens, and helps refract light a little.

Iris and pupil: the adjustable hole

The iris is a coloured sheet of muscle: brown in some people, blue in others. The round hole in its middle is the pupil. The iris holds two sets of muscle. When the circular muscles contract the pupil gets smaller; when the radial muscles contract it gets larger. In effect the iris is the eye’s light control.

Lens, ciliary muscles and suspensory ligaments: the focusing team

The eye lens is transparent, flexible and convex. Once the cornea has done the heavy bending, the lens makes the fine adjustment that puts the image exactly on the retina. A ring of ciliary muscle surrounds the lens, and thin suspensory ligaments hang the lens from that ring. When you look at something near, the ciliary muscle contracts, the ligaments slacken and the elastic lens bulges by itself. When you look far, the muscle relaxes, the ligaments pull tight and stretch the lens thin.

Vitreous humour: the jelly inside

The big chamber behind the lens is full of a clear jelly, the vitreous humour. It keeps the eyeball round and firm, and light passes through it to reach the retina. Like the aqueous humour it must be transparent, or no picture would arrive.

Retina, fovea, blind spot and optic nerve: the screen and its cable

The retina lines the back wall inside the eye and holds the light-sensitive rod and cone cells. At its centre is a small pit, the fovea or yellow spot, packed with cones; the sharpest vision comes from here. That is why your eyes swivel to drop whatever you are reading onto the fovea. Close to the fovea the optic nerve leaves the eye on its way to the brain. There are no sensors at that exit, so it is the blind spot you found at the start.

PartWhat it isJob
CorneaTransparent front domeMost of the refraction
Aqueous humourFluid between cornea and lensShape, nourishment, a little refraction
IrisColoured sheet of muscleChanges the pupil size
PupilHole in the irisThe way in for light
LensClear, flexible convex lensFine focus, accommodation
Ciliary muscleMuscle ring around the lensContracts to thicken the lens
Suspensory ligamentsFibres between muscle and lensTaut, they keep the lens thin
Vitreous humourJelly behind the lensKeeps the shape, passes light
RetinaLight-sensitive inner screenTurns the image into signals
Fovea (yellow spot)Pit at the centre of the retinaSharpest, colour vision
Blind spotWhere the nerve leavesHas no sensors
Optic nerveCable from retina to brainCarries the signals

How the image forms

Say there is a tree in front of you. Light spreads from every point of the tree, and a part of it enters your eye. Here is the journey, step by step.

1/f = 1/v − 1/uLens formula in the cartesian sign convention: the object is to the left, so u is negative

P = 1/fPower; with f in metres the unit is the dioptre (D). With f in centimetres, P = 100 ÷ f

  • Light strikes the cornea. The cornea bends it the most, and the rays start to come together.
  • It passes the aqueous humour and reaches the pupil. The iris sets how much light gets through.
  • The lens bends the light further and brings it to a fine focus. This is where the focus changes for near or far objects.
  • Through the vitreous humour the light reaches the retina and forms a small, inverted, real image.
  • Rod and cone cells turn the light into electrical signals, which the optic nerve carries to the brain.
  • The brain reads the upside-down picture the right way up, and compares the two eyes to judge depth.

Accommodation: changing focus from near to far

The image distance v is fixed: 2.5 cm from lens to retina. Yet the object may be 25 cm away one moment and a hundred metres the next. The lens formula says that if v stays put and u changes, f must change too. The eye does exactly that by changing the curvature of its lens. This ability is called accommodation.

For a distant object 1/u is almost zero, so 1/f = 1/2.5 = 0.40 cm⁻¹. That gives f = 2.5 cm and a power P = 40 D. For an object 25 cm away, 1/f = 0.40 + 0.04 = 0.44 cm⁻¹, so f = 2.27 cm and P = 44 D. Over the whole range the ciliary muscles change the lens power by only 4 D. Because the cornea stays fixed, that small change is enough.

The nearest distance at which the eye still sees clearly is the near point, 25 cm for a normal eye (also called the least distance of distinct vision). The farthest point is the far point, which is infinity for a normal eye. So the normal eye sees clearly from 25 cm to infinity.

Looking at a far objectLooking at a near object
Ciliary muscleRelaxedContracted
Suspensory ligamentsTautSlack
LensThin, less curvedThick, more curved
Focal length fLonger, 2.5 cmShorter, 2.27 cm (object at 25 cm)
Power PLower, 40 DHigher, 44 D

The pupil reflex: sunglasses that run themselves

Walk into a dark room and at first you see nothing, then things slowly appear. Step back into the light and you are dazzled before it settles. The pupil is changing size with the light. In bright light the circular muscles contract and the pupil narrows, down to 2 mm in this simulation. In the dark the radial muscles pull the pupil wide open, up to 8 mm.

Going from 8 mm to 2 mm cuts the area of the opening by a factor of 16, because area grows with the square of the diameter. At 50% light the simulated pupil is 5.0 mm. The brain runs this reflex without thinking about it; you cannot widen or narrow your pupils on purpose.

Adapting to the dark takes much longer, around half an hour, because the pigment in the rods has to be rebuilt. The pupil answers in seconds; the pigment is the slow part.

Rods and cones: two kinds of workers in the retina

The retina has two main kinds of light-sensitive cell. Rods respond to very dim light but cannot tell colours, which is why everything looks grey in faint light at night. Cones need bright light and tell colours and fine detail. There are three kinds of cone, most sensitive to red, green and blue light, and the brain builds every colour from their mix.

FeatureRod cellsCone cells
Number (approx.)About 120 millionAbout 6 million
Work best inDim lightBright light
See colour?NoYes
Where mostTowards the edge of the retinaPacked in the fovea
KindsOneThree (red, green, blue)
Good forNight and side visionSharp, colourful vision

Eye defects and how lenses fix them

When the image does not land exactly on the retina, vision blurs. The simulation models the two main defects in the simplest way: the focusing system is the same, only the distance to the retina differs. A correcting lens is an extra lens that changes the direction of light a little before it enters the eye.

Myopia: good near, blurred far

Suppose the retina is a little too far back, or the lens a little too curved. Light from a distant object comes together before it reaches the retina, then spreads out again. The image forms in front of the retina. In this simulation the retina is 2.58 cm from the lens, about 0.8 mm farther than normal, so the far point drops to 80 cm.

The cure is a lens that makes a distant object appear at the eye’s far point as a virtual image. That is a concave lens, whose power is negative: −1.25 D here. Wearing it, the eye sees a distant object as if it stood 80 cm away, and the eye’s own lens focuses it.

Hypermetropia: good far, blurred near

Here the retina is a little too close, or the lens a little too flat. Light from a near object reaches the retina before it has come together, so the image forms behind the retina. In the simulation the retina is 2.33 cm from the lens, about 1.7 mm closer than normal, and the near point moves out to 100 cm. Even distant objects need the eye to curve its lens in advance, which tires it.

The cure is a convex lens with positive power, +3.0 D here. A book held at 25 cm looks, through it, like a virtual image 100 cm away, which the eye can focus easily.

Three more defects in brief

With age (usually after forty) the ciliary muscles weaken and the lens stiffens, so accommodation shrinks. The near point moves away and reading small print gets hard. This is presbyopia. Bifocal glasses, concave on top and convex below, give both distance and reading in one frame.

If the cornea is not perfectly round, lines in one direction look sharp and lines in another look blurred. This is astigmatism, and a cylindrical lens corrects it. When the lens turns cloudy the condition is a cataract, treated by surgery that swaps the cloudy lens for an artificial one.

If one kind of cone does not work, the person is colour blind, most often mixing up red and green. It runs in families and is more common in males.

Myopia (short-sight)Hypermetropia (long-sight)
ProblemFar objects blurredNear objects blurred
CauseEyeball too long, or lens too curvedEyeball too short, or lens too flat
Image fallsIn front of the retinaBehind the retina
Correcting lensConcave (diverging)Convex (converging)
In the simulationFar point 80 cm, near point 19.0 cmNear point 100 cm, far point infinity

Try it in the simulation

Each experiment takes under a minute, and each one makes an idea stick.

1. Bring the object closer and watch the lens bulge

Start with the distance slider at the far end (500 cm). The ciliary muscle is almost relaxed, the lens is thin and the power is about 40 D. Now slide slowly down to 25 cm. The ciliary muscle thickens, the ligaments go wavy and slack, the lens bulges, and the power climbs to 44 D. Through all of it the image stays on the retina.

2. Go inside the near point

With the normal eye, drop the distance below 25 cm. The image slides behind the retina and blurs, because the power is stuck at its maximum of 44 D. A sharp image at 10 cm would need 50 D, more than the eye can make. This is why print blurs when you hold a book too close.

3. Dim and brighten the light

Set the light to 0%: the pupil opens to 8 mm and the ray bundles are wide. Raise it to 100%: 2 mm, a thin bundle. The reflex signal is instant but the pupil responds smoothly, as in real life.

4. Switch on myopia

Choose myopia and send the object far away (500 cm). The image is in front of the retina: the rays meet early and spread again, leaving a blur on the retina. Now bring the object to 80 cm and it turns sharp. That is this eye’s far point.

5. Wear the concave lens

Tick “Wear the correcting lens”. A concave lens appears in front of the eye and spreads the rays slightly. The image returns to the retina and the far point goes to infinity. Reading at 25 cm still works, because the corrected eye’s near point is back at 25 cm.

6. Hypermetropia and the convex lens

Choose hypermetropia and place the object at 25 cm: the image falls behind the retina. Now add the lens. The convex lens pre-converges the rays, the image lands on the retina and the near point moves from 100 cm to 25 cm.

Solved problems

Every answer is computed from the simulation’s own model. In the cartesian sign convention the object is to the left of the lens, so u is negative; the image is on the retina, so v = +2.5 cm.

Problem 1: lens power at the near point

In a normal eye the retina is 2.5 cm behind the lens. What power does the lens need to see an object 25 cm away?

u = −25 cm, v = +2.5 cm. 1/f = 1/v − 1/u = 1/2.5 + 1/25 = 0.40 + 0.04 = 0.44 cm⁻¹. So f = 2.27 cm and P = 100 ÷ 2.27 = 44 D.

Problem 2: an object at infinity

What power does the same eye need to see a far mountain?

For u = −∞, 1/u = 0. 1/f = 1/2.5 = 0.40 cm⁻¹, f = 2.5 cm, P = 40 D. Here the ciliary muscle is relaxed and the lens is at its thinnest.

Problem 3: the range of accommodation

A student looks from a page at 25 cm to a distant hill. By how much does the lens power change?

44 D at 25 cm, 40 D at infinity. Change = 44 − 40 = 4 D. At the halfway distance of 50 cm, P = 42 D and f = 2.38 cm.

Problem 4: the simulation’s default distance

The object is 100 cm away. Find the lens power and focal length.

1/f = 0.40 + 0.01 cm⁻¹. P = 41 D and f = 2.44 cm. When you start the simulation, the readings panel shows the same values.

Problem 5: how big is the image of a tree?

A tree 5 m tall stands 50 m away. How tall is its image on the retina? (v = 2.5 cm)

Magnification m = v ÷ u, so image height = object height × v ÷ distance = 500 × 2.5 ÷ 5,000 = 0.25 cm = 2.5 mm. Such a tiny image can carry so much detail because the fovea is packed with cones.

Problem 6: glasses for myopia

A person’s far point is 80 cm. What lens lets them see distant objects clearly?

Light from a distant object is parallel, so u = −∞. The lens must form its image at the far point, v = −80 cm. 1/f = 1/v − 1/u = −1/80 − 0, so f = −80 cm and P = −1.25 D. A concave lens.

Problem 7: stronger myopia

What power is needed if the far point is 200 cm? And if it is 50 cm?

P = −100 ÷ far point. For 200 cm, P = −0.50 D; for 50 cm, P = −2.00 D. The nearer the far point, the stronger the lens.

Problem 8: glasses for hypermetropia

A person’s near point is 100 cm. What lens lets them read a book at 25 cm?

The book is at u = −25 cm. The lens must form a virtual image at the near point, v = −100 cm. 1/f = 1/v − 1/u = −1/100 + 1/25 = 0.03 cm⁻¹. f = 33.3 cm and P = +3.0 D. A convex lens.

Problem 9: another hypermetropic eye

The near point is 50 cm. What lens is needed to read at 25 cm?

P = 100 ÷ 25 − 100 ÷ 50 = +2.0 D, so f = 50 cm. Convex.

Problem 10: the pupil’s area

The pupil narrows from 8 mm to 2 mm. By what factor does the light entering fall?

Area ∝ diameter². Ratio = (8 ÷ 2)² = 16. The light let in drops by up to 16 times.

Common mistakes

Most lost marks on this topic come from the same few slips. Check your answers against them before you hand in.

  • Drawing the retinal image upright. It is inverted, real and diminished; the brain turns it round.
  • Saying the lens moves in accommodation. It does not move; its curvature changes.
  • Saying the ciliary muscle relaxes for near vision. For near vision it contracts and the lens thickens.
  • Writing a convex lens for myopia. Myopia needs a concave lens; hypermetropia needs a convex one.
  • Thinking myopia means “cannot see near”. It is the reverse: near is clear, far is blurred.
  • Giving the lens most of the refraction. Most of it happens at the cornea; the lens only fine-tunes.
  • Mixing up the fovea and blind spot. The fovea has the most cones and the sharpest vision. The blind spot has no sensors at all.
  • Swapping rods and cones. Rods handle dim light with no colour; cones handle bright light and colour.
  • Getting the unit wrong. One dioptre is 1 ÷ focal length in metres. With f in centimetres use 100 ÷ f.
  • Giving a concave lens a positive power. A concave lens has a negative f and a negative P.

Looking after your eyes

These are textbook-level tips, not medical advice. If you think something is wrong with your eyes, see an eye doctor.

Long close work tires the ciliary muscles. Every 20 minutes, look at something far away for 20 seconds; the muscle relaxes and rests. Read in good light with the book about 25 cm from your eyes. Reading lying down or in a moving vehicle keeps changing the distance and strains the eyes.

Never look straight at the Sun or at very bright light; it can burn the retina. Do not rub your eyes with dirty hands, because the cornea scratches easily. If something gets into your eye, rinse it with clean water.

Eat foods rich in vitamin A, such as carrots, sweet pumpkin, eggs, liver and leafy greens. A check-up once a year catches short or long sight early.

Donated eyes can give sight to another person through a cornea transplant. Only the cornea is transplanted, and it must be done within a few hours of death. It is worth talking to your family about it beforehand.

Exam corner: board exams

The eye is a topic where biology and physics meet, so questions can come from both. Biology asks for structure and function; physics asks about refraction, lens power and the defects of vision.

Recall questions: “Define accommodation”, “What is the blind spot?”, “What is the unit of lens power?”. Diagrams: a vertical section of the eye with the cornea, iris, pupil, lens, ciliary muscle, vitreous humour, retina, fovea and optic nerve labelled. Name the parts in the order light meets them and the labels fall into place.

Reasoning questions: “Why does the ciliary muscle contract for near vision?”, “Why does the pupil widen in the dark?”, “Why do we see upright when the retinal image is inverted?”. Numerical questions: glasses power from the far point or near point. Write 1/f = 1/v − 1/u first, put in the signs, and finish with the unit D. Higher-order questions: explain why a given person needs a concave or convex lens.

Multiple-choice items come back again and again: where most refraction happens, where the cones are concentrated, which lens cures which defect. In comparison tables keep a row each for myopia and hypermetropia: cause, where the image falls, which lens. Always add a diagram and a unit.

Quick revision

Read this the night before the exam; every line is a likely question.

  • Path of light: cornea, aqueous humour, pupil, lens, vitreous humour, retina.
  • The retinal image is inverted, real and diminished; the brain interprets it upright.
  • Most refraction is at the cornea; the lens fine-tunes the focus. The image distance is fixed near 2.5 cm.
  • Accommodation: for near objects the ciliary muscle contracts, ligaments slacken, the lens thickens and P is higher (44 D); for far ones it is the reverse (40 D).
  • A normal eye has a near point of 25 cm and a far point at infinity.
  • The iris changes the pupil: small in bright light, large in the dark.
  • Rods: dim light, no colour. Cones: bright light, colour. The fovea has the most cones.
  • The blind spot has no sensors, because the optic nerve leaves there.
  • Myopia: image in front of the retina, concave lens, negative power.
  • Hypermetropia: image behind the retina, convex lens, positive power.

Frequently asked questions

Why is the image on the retina inverted?

The cornea and lens act together as a convex lens, and a convex lens forms an inverted real image. The retina only sends signals, and since birth the brain has learned to read them as an upright picture.

What is accommodation of the eye?

It is the ability of the eye to change the focal length of its lens so that objects at different distances form sharp images on the retina. The ciliary muscles contract or relax to make the lens thicker or thinner.

What are the near point and far point of a normal eye?

The near point (least distance of distinct vision) is about 25 cm and the far point is infinity. A normal eye sees clearly from 25 cm to infinity, and the near point moves farther away with age.

What is the difference between myopia and hypermetropia?

In myopia near objects are clear and far ones blurred; the image falls in front of the retina and a concave lens corrects it. In hypermetropia far objects are clear and near ones blurred; the image falls behind the retina and a convex lens corrects it.

What is the difference between the fovea and the blind spot?

The fovea (yellow spot) is the small pit at the centre of the retina with the most cone cells, so it gives the sharpest vision. The blind spot is where the optic nerve leaves the eye. It has no light-sensitive cells, so an image falling there is not seen.

What do rods and cones do?

Rods work in dim light and do not detect colour. Cones work in bright light and detect colour and fine detail. There are three types of cone, sensitive to red, green and blue light.

Why does the pupil get smaller in bright light?

Too much light can damage the retina. In bright light the circular muscles of the iris contract and shrink the pupil, letting in less light. In the dark the radial muscles widen it. It is an automatic reflex controlled by the brain.

What is a dioptre?

A dioptre (D) is the unit of lens power. Power is 1 divided by the focal length in metres, so a lens with f = 1 m has power 1 D. Convex lenses have positive power and concave lenses negative power.

How do glasses correct blurred vision?

A glasses lens changes the vergence of light slightly before it enters the eye, so the eye’s own focusing system can put the image exactly on the retina. A concave lens spreads light out; a convex lens brings it together.

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The animation made the idea click; now turn it into marks. Syllabus, suggestions, textbooks and admission-test guides are below.

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Spring-mass SHM

Physics

Vector addition: triangle and parallelogram laws

Physics

Relative velocity: trains and river crossing

Physics

Kepler's laws and elliptical orbits

Physics

Newton’s law of gravitation, g and satellites

Physics

Standing waves in strings and pipes

Physics

Resonance tube and the speed of sound

Physics

Beats: when two close notes pulse

Physics

Doppler effect: moving sources, listeners and sonic booms

Physics

Prism, dispersion of light and the rainbow

Physics

Kirchhoff’s laws: junction rule and loop rule

Physics

Wheatstone bridge and metre bridge

Physics

Single-slit diffraction

Physics

Defects of the human eye and their correction

Physics

Polarisation of light: Malus’s law and Brewster’s law

Physics

Charging and discharging a capacitor: the RC time constant

Physics

Magnetic field lines: bar magnet, current-carrying wire and solenoid

Physics

AC generator

Physics

Transformer

Physics

Heat transfer: conduction, convection and radiation

Physics

Photoelectric effect: Einstein’s equation and the stopping potential

Physics

Motor effect: force on a current-carrying wire and the DC motor

Physics

Gas molecules and kinetic theory: pressure, temperature and speed

Physics

The semiconductor diode: p–n junction, I–V curve and rectifier

Physics

Radioactive decay: half-life, the decay law and penetration

Physics

The Bohr atom: orbits, energy levels and the hydrogen spectrum

Chemistry

Structure of the atom

Chemistry

Acids, Bases and the pH Scale

Chemistry

Electron configuration

Chemistry

Gas laws: Boyle, Charles, Gay-Lussac, Avogadro and PV = nRT

Chemistry

How an Ionic Bond Forms

Chemistry

Electrolysis and Faraday’s Laws

Chemistry

Covalent Bond

Chemistry

Periodic Trends

Chemistry

Reaction rate and collision theory

Chemistry

States of matter: solid, liquid, gas and the heating curve

Chemistry

Atomic orbitals: the shapes of s, p and d, quantum numbers and nodes

Chemistry

Molecular shapes and VSEPR theory: bond pairs, lone pairs and angles

Chemistry

The mole concept: molar mass, Avogadro’s number and molar volume

Chemistry

Diffusion and effusion: Graham’s law of gases

Chemistry

Balancing chemical equations: method, examples and practice

Chemistry

Chemical equilibrium: the equilibrium constant Kc and Le Chatelier’s principle

Chemistry

Titration: finding an unknown concentration with a burette and an indicator

Chemistry

Galvanic cell: the Daniell cell, EMF and the Nernst equation

Chemistry

Redox reactions: oxidation numbers, electron transfer and half-equations

Chemistry

Hydrocarbons: alkanes, alkenes, alkynes and structural isomers in 3D

Chemistry

Functional groups: alcohols, aldehydes, ketones, acids, esters and amines

Chemistry

Polymerisation: addition and condensation polymers, polythene and nylon

Chemistry

Separation techniques: filtration, distillation, chromatography, crystallisation

Chemistry

Crystal lattice: SC, BCC and FCC unit cells, packing efficiency and density

Chemistry

Radioactivity: Alpha, Beta, Gamma Decay and Half-Life

Mathematics

Pythagorean Theorem

Mathematics

Trigonometric Ratios and the Unit Circle

Mathematics

Quadratic functions and their graphs

Mathematics

Circle theorems

Mathematics

Heights and distances: elevation and depression angles

Mathematics

Probability: experimental vs theoretical probability

Mathematics

Arithmetic and Geometric Sequences

Mathematics

Mean, Median and Mode

Mathematics

Sets and Venn Diagrams

Mathematics

Linear equations: graphs, slope and simultaneous pairs

Mathematics

Graphs of sin, cos and tan

Mathematics

Completing the Square and the Quadratic Formula

Mathematics

Area of a Circle: Proof, Formula and Solved Problems

Mathematics

Volume and Surface Area of Solids: Cube, Cuboid, Cylinder, Cone, Sphere

Mathematics

Similar Triangles: Scale Factor, AA, SSS, SAS and Shadow Heights

Mathematics

Coordinate Geometry: Distance, Midpoint, Slope, Section Formula and Locus

Mathematics

Conic Sections: Circle, Ellipse, Parabola and Hyperbola

Mathematics

Function Transformations: Shifts, Stretches and Reflections

Mathematics

Derivative as the Slope of a Tangent: Secant to Tangent

Mathematics

Riemann Sums and Integration: Area Under a Curve

Mathematics

Limits and the ε–δ Definition: A Visual Guide

Mathematics

3D Vectors: Sum, Dot Product and Cross Product

Mathematics

Matrix Transformations: Rotation, Reflection, Shear and the Determinant

Mathematics

Complex Numbers: Sum, Product, Powers and Roots on the Argand Plane

Mathematics

Binary Number System: Place Value, Conversion and Addition