Teachers
KS3 Earth and atmosphere · 15 minutes · no login
Moon phases and Sun–Earth–Moon geometry
All teacher notes · Open the lab · 2010 words · ·

Why this lesson, and why the 3D
Moon phases and Sun–Earth–Moon geometry is a fifteen-minute projector lesson, not a homework packet and not a film with a quiz bolted on. Put this hook on the board before you dim the lights: A full Moon over Yosemite is the same geometry a student sees from Snowdonia: the Moon is opposite the Sun, not a different Moon. By the end of the slot a pupil should be able to link each phase to the Moon’s position around Earth, distinguish the synodic month from a single night, and show why eclipses are rare. Curriculum tags in the header (KS3 Earth and atmosphere; NGSS MS-ESS1-1; GCSE background) are filters, not a flag. The room is worldwide; SI first; International English. Ages on the card (KS3, GCSE, NGSS MS) are a suggested band, not a gate.
Tides, festivals, and a Snowdonia night walk all run on the same Sun–Earth–Moon triangle. A full Moon over Yosemite is geometry, not a mood. Lunar calendars count phases. Eclipse chasers wait for node crossings, not for every full Moon. A first-quarter Moon is high over Leeds in the afternoon; that surprises a class that thinks the Moon is a night-only lamp. The same triangle lights a Holderness tide table and a California eclipse map. If you teach Earth’s shadow as the crescent, every later eclipse lesson has to unteach it.
The 3D is a named, inspectable object. Click the part, not a caption. If the model will not spin, the Why panel still carries the mechanism, the two photographs, and the film. Do not apologise for the model. Drive it. A silent spin teaches a screensaver. A named mesh that changes under a slider teaches the process.
Fifteen minutes on the projector
Freeze at new Moon. Sketch the Sun–Earth–Moon triangle on the board. First quarter. Full. Last quarter. Same sketch, different angle. Ask why the dark of the Moon is not Earth’s shadow. Wait before you reveal. Enable the 5° tilt. Ask why next month’s full Moon is not an eclipse. Turn eclipse alignment on once, then off. Size is exaggerated so the geometry reads from the back row. A first-quarter Moon can be high in the afternoon. Say that. Space plays the month. Arrows scrub. P projector. Finish in Check.
Open the lab full screen (F). Labels on (L). Speak the first step before you touch a slider: Play a synodic month. Watch the lit half of the Moon always face the Sun, while the face we see from Earth changes. Then the second: Pause at first quarter and full. Toggle the Earth-view disc. Then turn on eclipse alignment: the 5° orbital tilt is why most months have no eclipse. Then the third: Phases are geometry, not Earth’s shadow (except during a lunar eclipse). New Moon is between us and the Sun; full Moon is opposite.
The sliders that earn their keep are Eclipse alignment. Space plays; arrows nudge time; R resets. Parameters the URL can remember: align. If you only have eight minutes, skip the last step and finish in Check. Projector layout (P) is for the back row: one idea, large type, the model still live.
Freeze at new, first quarter, full, last quarter. For each, ask the class to sketch the triangle before you rotate the view. Toggle eclipse alignment — the 5° tilt going to zero — and ask why next month’s full Moon will not be an eclipse. Keyboard: Space play, arrows through the month, L labels, R reset, P projector. Turn alignment on once, then off. Size is the labelled lie. Geometry is the plot.
The in-site film is “NASA Now: Reasons for the Seasons” (NASA, about 8 min, NASA / NASA Goddard on YouTube. Public domain US government work. Educational embed, autoplay off.). Autoplay is off. Play one minute if you need a second voice; do not let the film eat the slot. The 3D still has to move under your hand.
What the third row will get wrong
You will hear the misconception before you have finished the first sentence. Write the false claim on the board and leave it there until the model has contradicted it. Do not skip this. A fluent pupil can recite the hook and still believe the false sentence.
“The crescent is Earth’s shadow on the Moon.” — no. The crescent is the Moon’s night side. Earth’s shadow is an eclipse.
“The Moon is only in the sky at night, and only when it is full.” — no. A first-quarter Moon is high in the afternoon. Phase is a viewing angle, not a schedule of appearance.
“Every full Moon is a lunar eclipse.” — no. The Moon’s orbit is tilted about 5°. Full happens every month; an eclipse needs the Moon near a node.
Pitfalls to keep in your pocket: Ball-and-lamp demos that put the Moon in Earth’s shadow for a crescent. Scale: the Moon is 30 Earth-diameters away. This lab exaggerates size so the geometry reads from the back of the room. Do not let a pupil leave thinking the 3D is a photograph. It is a teaching model. Where vertical exaggeration exists, T collapses it and the caption says so. A labelled lie of scale is honest. An unlabelled one is a cartoon.
Two places, not a slogan
The Moon is a ball half-lit by the Sun. What we call a phase is how much of that sunlit half faces Earth. New, first quarter, full, last quarter are four camera angles on one sphere. A crescent is not Earth’s shadow — that is a lunar eclipse, and it needs alignment. What moves: the Moon’s place around Earth, and therefore the viewing angle. What does not: the fact that half the Moon is always sunlit. What is conserved: the Sun as the lamp, the Moon as a sphere. The Moon’s orbit is tilted about 5° to the ecliptic, so most months it misses Earth’s shadow. Size here is exaggerated so the set reads from the back of the room; the real Moon is about 30 Earth-diameters away. Synodic month, new to new, is about 29.53 days, longer than the sidereal month because Earth has moved. The lamp-and-ball demo that parks the Moon in Earth’s shadow for a crescent is the wrong machine.
The first place to land is Moonrise, Snowdonia. The second is Full Moon, Yosemite. Same process, different rock or climate. If a pupil can only name one place, they have a postcard, not a mechanism. Atlas entries for those names are a click from the case list; send them back to the lab with one sentence they can say in Check.
Do not flatten the comparison into “this country versus that country.” Name the landform. Holderness is till, not chalk. Hawaii is a hotspot, not an island arc. Yosemite is a glacial trough, not a river canyon. The 3D is allowed to be schematic; the place names are not allowed to be sloppy.
Figures and the film

Field photograph: A crescent Moon — phase, not a bite taken out. Phase is a viewing angle. Credit: NASA / Wikimedia, public domain.
Mechanism photograph: Field photograph or official scientific figure for teaching moon phases. Field photograph or official scientific figure for teaching moon phases. A second photograph for the projector script — not the lab cover. Source: Wikimedia Commons / NASA / USGS / NOAA, public domain or CC. Credit: Wikimedia Commons / NASA / USGS / NOAA, public domain or CC.
Two photographs, two jobs. The field picture is the place. The mechanism picture is the process. Do not run the lesson on a single Apollo Earth disc. A carbon-cycle class is a forest and a seam, not a blue marble. An ENSO class is a Pacific temperature map, not Africa from Apollo 17.
Words they must be able to say
Say these out loud once while you click the matching mesh. If a word has no mesh, it still has a photograph in Terms.
Phase: The fraction of the near side that is sunlit, as seen from Earth. Synodic month: New Moon to new Moon: about 29.53 days. Umbra: The dark core of a shadow. A total lunar eclipse puts the Moon in Earth’s umbra. Orbital inclination: The Moon’s orbit is tilted ~5° to Earth’s orbit. That is why eclipses are rare. Node: Where the Moon’s orbit crosses the ecliptic. Eclipses need the Moon near a node. Ecliptic: The plane of Earth’s orbit. The Moon is tilted about 5° to it. Near side: The Moon face locked toward Earth. Phases are how much of this face is sunlit. Penumbra: The pale outer shadow. A penumbral lunar eclipse is easy to miss.
Exam-language toggle (the Teacher tab) swaps UK/US pairs where they exist — levée/levee, arête/arete — so a mixed room is not punished for spelling.
Close the slot
Without the 3D view: half the Moon is always sunlit; phases are the viewing angle from Earth; eclipses need the Moon near a node of its tilted orbit. The lamp-and-ball demo that puts the Moon in Earth’s shadow for a crescent is the wrong machine. New Moon sits between us and the Sun. Full Moon sits opposite. First quarter is a right angle. A synodic month is new to new, about 29.5 days. That is enough for Check, and enough to refuse ‘the crescent is Earth’s shadow’.
Finish in Check — ten questions, not a mood. The bank mixes definition, process, the misconception you just killed, a named place, and a read-the-model item (click the part; T). If a pupil can only recite the hook, they have not used the geometry. Wrong answers still show the one-line explain. Do not skip the explain.
Sources on the Teacher tab are the trail, not a bibliography to copy. NASA Moon phases; USGS / NASA SVS Moon kit.
Link back to the live lab and keep the same slug. Do not invent a parallel worksheet that contradicts T, SI, or the named parts.
This note is worldwide. Curriculum tags (KS3 Earth and atmosphere; NGSS MS-ESS1-1; GCSE background) are filters, not a flag. A class in Nairobi, London, or Shanghai can use the same 3D. Ages (KS3, GCSE, NGSS MS) are a suggested band. If a sentence only works in one exam board, rewrite it before you project it.
Write these three lines on the board before you dim the lights. One: A full Moon over Yosemite is the same geometry a student sees from Snowdonia: the Moon is opposite the Sun, not a different Moon. Two: the misconception “The crescent is Earth’s shadow on the Moon.”. Three: the named parts they must click. Then drive the model. Check is ten questions covering definition, process, the misconception, a place, and a read-the-model item. Do not skip the explain on a wrong answer.
Board, units, and what not to say
SI first. Metres, kilometres, degrees Celsius, metres per second. A conversion in brackets is courtesy, not a second system. Do not let a pupil leave thinking the 3D is a photograph. It is a teaching model. Where vertical exaggeration exists, T collapses it and the caption says so.
Do not say “teaching mesh”, “sprinkle”, or “thin free surface not a fat pipe” out loud. Say the landform. Seasons are ~23.44° of axial tilt, not Earth–Sun distance. The outer core is liquid; S-waves do not pass. Yosemite is a glacial U-trough. San Andreas is a transform. Hawaiʻi and Yellowstone are hotspots. Florida is not a glacial trough.
If the room is noisy, projector layout (P) is the back-row setting: one idea, large type, the model still live. Full screen (F). Labels (L). Space plays. Arrows nudge time. R resets. The URL can remember align. Send them home with the same link; there is no login.
Tides, festivals, and a Snowdonia night walk all run on the same Sun–Earth–Moon triangle. A full Moon over Yosemite is geometry, not a mood. Lunar calendars count phases. Eclipse chasers wait for node crossings, not for every full Moon. A first-quarter Moon is high over Leeds in the afternoon; that surprises a class that thinks the Moon is a night-only lamp. The same triangle lights a Holderness tide table and a California eclipse map. If you teach Earth’s shadow as the crescent, every later eclipse lesson has to unteach it.
In-site film
NASA Now: Reasons for the Seasons. NASA. NASA / NASA Goddard on YouTube. Public domain US government work. Educational embed, autoplay off. Autoplay off.