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

Compare watershed event volume without inventing a flood peak

Use drainage boundaries and area conversions to distinguish event runoff from peak flow.

Learning outcome: Use drainage boundaries and area conversions to distinguish event runoff from peak flow.

Starting recap

A runoff coefficient is an assigned fraction; event volume is not discharge per second.

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

Try

30 mm over 1 km² gives 30000 m³ rainfall;40% runoff gives 12000 m³.

Open the experiment

Predict

Can two storms with equal total runoff volume have different peak discharges?

Experiment

Hold 30 mm and vary coefficient 20,40,80%. Then vary depth at 40%; identify what a hydrograph would add.

Compare event runoff volume and timing assumptions

Worked teaching model · synthetic values · Synthetic 1 km² watershed event. Runoff volume=rainfall depth×area×assigned coefficient. Remaining rainfall is unresolved interception/infiltration/storage; no full hydrograph, peak discharge, groundwater recharge or water quality predicted.

Reset keeps your prediction, captures and practice history.

Conditional calculations, not measured observations
QuantityValueUnit
Rainfall volume30000m³/event
Runoff volume12000m³/event
Unresolved non-runoff volume18000m³/event
Equivalent runoff depth12mm/event

Increasing the assigned coefficient raises event runoff volume at fixed storm depth.

Slope, land cover, soil, antecedent moisture and drainage shape real runoff. Event volume alone cannot determine peak discharge, flood timing, infiltration partition or pollutant concentration.

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

Increasing the assigned coefficient raises event runoff volume at fixed storm depth.

Slope, land cover, soil, antecedent moisture and drainage shape real runoff. Event volume alone cannot determine peak discharge, flood timing, infiltration partition or pollutant concentration.

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

Understand

Draw the drainage boundary first

A watershed is an area draining toward a defined outlet. Surface divides often follow topography, but groundwater boundaries need not match them exactly. Streams, soils, vegetation, storage and land use affect how precipitation moves through the area. Slope, soil saturation, permeability and drainage connections can change runoff timing and volume.

A storm event budget differs from an annual watershed balance. Some water may be intercepted, infiltrate, remain in surface storage or move later as groundwater. Classifying all non-runoff water as immediate aquifer recharge would invent an unmeasured partition.

Convert depth to event volume

The synthetic watershed is 1 km², or one million square metres. A 30 mm storm is 0.03 m of water. Multiplying depth by area gives 30,000 m³ rainfall. With an assigned runoff coefficient of 40%, event runoff is 12,000 m³. The remaining 18,000 m³ is deliberately labeled unresolved non-runoff water.

The coefficient is a scenario input, not a measured universal value for a named land cover. Increasing it to 80% doubles runoff to 24,000 m³ at the same storm depth. Increasing storm depth also scales volume linearly in this simplified calculation, though real coefficients can change as soils saturate.

Volume does not supply a flood peak

Discharge is volume per time, such as m³/s. Event runoff volume alone cannot give peak discharge. A short intense runoff pulse and a long gentle release can have equal total volumes but different peaks. A hydrograph supplies timing information that this ledger omits.

Impervious surfaces can reduce some infiltration pathways and accelerate runoff, but drainage design, storage and connected area matter. A mitigation claim should specify whether it reduces peak flow, delays timing, reduces total volume or changes water quality. Those are different outcomes requiring different evidence.

Design a matched comparison

Compare runoff before and after a land-use intervention with a suitable reference watershed or repeated storms matched on depth, intensity and antecedent moisture. A larger runoff observation after construction might reflect a wetter storm rather than construction alone. Independent catchment replication and uncertainty are needed for broader inference.

For transfer, a 50 mm event with a 20% coefficient produces 10,000 m³ runoff, less than the original 30 mm/40% event’s 12,000. Explain how a smaller storm can yield more runoff when coefficients differ. Then identify why neither case determines pollutant concentration: contaminant sources, mobilization and water mixing remain unmeasured. No stream entry, floodwater contact or drainage alteration is assigned.

Length, divides and travel time are separate from area

A watershed description includes area, stream/path length, slope, soil, vegetation and its divides with neighboring catchments. Two watersheds can share area and storm runoff volume yet differ in routing and response time. In a fictional map packet, both areas are 1 km², but the principal drainage path is 1 km in A and 3 km in B. At an explicitly supplied uniform routing speed of 0.5 m/s, travel times are 2,000 and 6,000 s. This is a path-time comparison, not a flood-peak model. If B’s speed rises to 1.5 m/s, both times become 2,000 s despite different lengths. Explain why path length alone cannot determine observed delay, and why rainfall across the neighboring surface divide is not automatically an input to this outlet.

Source scope and investigation boundary

Original teaching and synthetic calculations aligned with AP Environmental Science topics 4.6. 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.

Exact-clause reconciliation checked 31 October 2026 against the official framework, with Fall 2026 corrections. Added records are supplied teaching packets, not field observations.

Apply

For 30 mm rain on 1 km² and 40% runoff, event runoff volume is:

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. Use drainage boundaries and area conversions to distinguish event runoff from peak flow.

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.