Learn

Learning preferences

Make learning more comfortable. Changes apply immediately.

Enlarges page content, including diagrams and their labels. You can also use your browser’s zoom.

Choose the colours that are easiest for you to distinguish. Applies to lesson diagrams and lab plots. Labels, shapes, hatching and line patterns also distinguish meanings. Source photographs and raw image brightness stay unchanged; mask-only views are available for image overlays.

ExampleComparisonSample link

Saved in this browser on this device. Preferences are separate from progress backups.

SCIENCE · INVESTIGATE AND EXPLAIN

Connect seasonal sunlight and mountain-climate mechanisms

Explain solar geometry, elevation and geographic climate controls without overextending a dry-parcel model.

Learning outcome: Explain solar geometry, elevation and geographic climate controls without overextending a dry-parcel model.

Starting recap

Axial tilt changes solar angle and daylength; geography and transport modify local climate.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

At 30° solar elevation,1000 W/m² beam projects 500 W/m² horizontally. A dry parcel rising 1 km cools 9.8°C.

Open the experiment

Predict

Does the dry-parcel temperature alone prove rain occurs on a mountain slope?

Experiment

Compare 15,30,60° elevation with fixed ascent, then 0,1000,2000 m ascent at 45°. Keep the two independent ledgers separate.

Compare solar angle and mountain cooling

Worked teaching model · synthetic values · Two independent teaching ledgers: beam flux 1000 W/m² projects onto horizontal ground by sin(elevation); a dry unsaturated parcel starts 20°C and cools 9.8°C/km during ascent. No clouds/daylength or condensation/latent-heat correction.

Reset keeps your prediction, captures and practice history.

Conditional calculations, not measured observations
QuantityValueUnit
Horizontal projected beam flux707.1068W/m²
Assigned dry-parcel cooling9.8°C
Parcel temperature after ascent10.2°C

Solar angle affects energy per horizontal area; elevation and parcel motion can alter temperature.

Earth axial tilt changes seasonal solar angle and daylength, not merely distance to the Sun. If a parcel saturates, latent heat changes its lapse rate; the dry formula cannot predict precipitation or a complete rain shadow.

Predict before changing a control. Save two contrasting captures and explain what is held fixed. Displayed digits are calculation precision, not experimental uncertainty.

Solar angle affects energy per horizontal area; elevation and parcel motion can alter temperature.

Earth axial tilt changes seasonal solar angle and daylength, not merely distance to the Sun. If a parcel saturates, latent heat changes its lapse rate; the dry formula cannot predict precipitation or a complete rain shadow.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

Seasons follow axial tilt and geometry

Earth’s tilted axis changes solar elevation and daylength through the year. A higher Sun concentrates incoming beam energy onto a smaller horizontal area, while longer daylight can increase daily received energy. Seasons are not explained primarily by Earth being nearer the Sun in one hemisphere’s summer; the hemispheres experience opposite seasons at the same Earth–Sun distance.

Latitude, elevation, nearby water, ocean currents and mountains modify climate. Large water bodies can moderate temperature variation because of heat storage and transport. Mountains can force air upward, changing temperature and moisture conditions. These influences require time-scale and geographic evidence rather than a single latitude label.

Project the beam onto the ground

The lab assigns a beam-normal flux of 1,000 W/m². Horizontal projected flux is 1,000 sin(elevation). At 30° it is 500 W/m²; at 60° it is about 866 W/m². This calculation holds the beam intensity constant and ignores clouds, atmospheric path changes and daylength. It is not daily or annual insolation.

Equal instantaneous solar elevations can occur at locations or times with different daily sunlight totals. To compare daily energy, integrate changing flux over daylight hours and account for atmospheric conditions. The widget isolates one geometric factor instead of pretending to do that complete calculation.

A mountain parcel is a separate ledger

The second control lifts a dry unsaturated parcel starting at 20°C. With an assigned dry adiabatic cooling rate of 9.8°C/km, a 1 km ascent gives 10.2°C and a 2 km ascent gives 0.4°C. These are temperature differences in Celsius; converting the entire temperature to kelvin is unnecessary for this subtraction.

If the parcel reaches saturation and water condenses, released latent heat changes the lapse rate. The dry formula then no longer describes the full ascent. Windward uplift can promote clouds and precipitation when moisture conditions support them; descending air on the leeward side can warm and create a rain-shadow tendency. A dry temperature calculation alone cannot prove precipitation occurred.

Separate annual latitude patterns from a particular summer day

Low latitudes receive more direct sunlight on average over a year than high latitudes, supporting the broad equator-to-pole energy gradient. The subsolar latitude shifts with axial tilt, and summer daylength can be very long at high latitudes. Therefore neither instantaneous nor daily sunlight is always greatest exactly at the equator. Clouds and surface conditions further alter received energy.

In a supplied clear-sky daily comparison, site A averages 400 W/m² during 12 daylight hours while site B averages 300 during 18. Predict total incident energy: A receives 4.8 kWh/m² and B 5.4. A’s higher daylight-average flux does not establish the larger daily total. Change B to 8 daylight hours and its total falls to 2.4. Explain how seasonal daylength and solar elevation jointly matter, while retaining the distinction between this invented daily packet and the annual latitude pattern.

Transfer and evidence

Two locations share latitude but one lies on a coast and the other inland behind mountains. Propose evidence for different seasonal temperature ranges and precipitation: prevailing winds, sea-surface conditions, elevation and moisture records. Avoid claiming that coastal always means wetter or mountains always create a fixed rainfall ratio.

Compare solar elevations 15° and 45° at the same beam intensity: projected fluxes are about 259 and 707 W/m². Then explain why a cloudy 45° case could receive less actual surface sunlight than a clear 15° case. The controlled geometry is useful precisely because its omitted factors are named.

Source scope and investigation boundary

Original teaching and synthetic calculations aligned with AP Environmental Science topics 4.7–4.8. Framework checked 30 October 2026: official topic map and Fall 2026 clarifications. Virtual captures do not establish measured field evidence, independent mastery or hands-on laboratory time.

Apply

A 20°C dry unsaturated parcel rising 1 km under 9.8°C/km lapse reaches:

Public practice checks a specific claim. It does not establish independent mastery.

Reconstruct your paired captures with units, identify a mechanism and test a changed case while naming one omitted process. Explain solar geometry, elevation and geographic climate controls without overextending a dry-parcel model.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

Skipping retains experiments and awards no mastery.

Save a science backup or import one

Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.

A legacy file is available only when the complete snapshot fits the 36 MB limit. For larger snapshots, prepare a complete file set below; never discard notebooks to make a smaller file.

Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.

Complete file sets and course backups

A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.

The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.

0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.

Science storage: loading. No account or remote computation is required.