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Bright Minds. Geology Geology course pack
Instructor toolkit · Draft for review

The concept dependency graph.

Which concepts depend on which — so a guide knows what must be mastered before a student moves on, and where a gap will cascade.

Draft for review

This is a working draft for Leslie's review. The dependency edges below are a first pass — the diagram and the prerequisite table are the parts to check hardest, since they drive hold-vs-advance decisions.

The course map shows the eight units as a spine — minerals first, deep time last. But the real prerequisite structure isn't a straight line: it's a directed graph. Geology is more strictly cumulative than most subjects — igneous rock needs minerals, metamorphic rock closes the loop only after both igneous and sedimentary, and deep time can be read only once the layered record is in hand. A weak concept early doesn't just lower one grade, it cascades into everything downstream that needs it. This page is the map a guide uses to find the concept that's actually blocking a stuck student.

The dependency graph

An arrow means “must be mastered first.” Units 04 and 07 each pull from two upstream units — those are the cascade points where one soft prerequisite quietly breaks several later units.

The geology concept dependency graph A directed graph of the eight units. Minerals feeds Igneous Rocks and Sedimentary Rocks; Igneous and Sedimentary together feed Metamorphic Rocks, closing the rock cycle; Metamorphic feeds Plate Tectonics; Plate Tectonics feeds Earthquakes; Minerals and Sedimentary feed Weathering; and Sedimentary feeds Geologic Time, which also draws on radiometric half-life math. 01Minerals 02Igneous 03Sedimentary 04Metamorphic 05Tectonics 06Earthquakes 07Weathering 08Deep Time
When a student stalls, read the arrows backward — the visible symptom is usually downstream of the concept that’s really broken.

Prerequisite gating

A unit unlocks when its prerequisites are mastered — demonstrated, not merely seen. "Covered in class" is not the gate; a cleared rubric is. The difference matters most at the cascade points, where a soft prerequisite quietly breaks two or three later units.

UnitMust have mastered first
01 Minerals— (entry point)
02 Igneous Rocks & Volcanism01 (igneous crystals grow from the same minerals)
03 Sedimentary Rocks & Stratigraphy01 (sediment is broken-down mineral grains)
04 Metamorphic Rocks & the Rock Cycle02 + 03 (recrystallizes igneous & sedimentary rock; closes the cycle)
05 Plate Tectonics & Mountain Building04 (metamorphism is driven at plate boundaries)
06 Earthquakes & Earth’s Interior05 (quakes release the stress built by plate motion)
07 Weathering, Erosion & Landforms01 + 03 (minerals set weathering rate; feeds the sedimentary record)
08 Geologic Time & Earth History03 (superposition — relative dating) + radiometric half-life math

Gap-cascade diagnosis

When a student stalls late, the visible symptom is rarely the real problem — the broken concept is usually upstream. Trace the arrows backward. Common cascades:

Late symptomUpstream concept to check first
Metamorphic grade and the rock cycle won’t close (Unit 04)Igneous and sedimentary rock from Units 02 and 03 — metamorphism reworks both.
Relative dating of a section comes out scrambled (Unit 08)Superposition and stratigraphy from Unit 03 — not the dating method itself.
Mountain-building sequences don't add up (Unit 05)The rock cycle from Unit 04 — metamorphism is what plate collisions drive.
Weathering and landform reasoning goes wrong (Unit 07)Mineral properties from Unit 01 — hardness and solubility set the weathering rate.

Using the graph to plan a re-attempt

The graph turns a "not yet" into a targeted re-attempt instead of a whole-unit re-teach. When a student fails a downstream demonstration:

  1. Trace backward to the upstream node the symptom points to.
  2. Re-attempt the upstream concept first — close the gap at its source, not where it surfaced.
  3. Then re-run the downstream demonstration. Often it passes without any re-teaching of the downstream unit at all, because the cascade is resolved.

This is also where the integration guide matters: some geology concepts depend on an applied-math idea — half-life arithmetic for radiometric dating, proportional reasoning for deposition and plate-motion rates — from another spoke. When the upstream geology node looks solid but the student still stalls, check the cross-disciplinary dependency before re-teaching the geology.