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Bright Minds. Biology Biology 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 — molecules first, ecosystems last. But the real prerequisite structure isn't a straight line: it's a directed graph. Some units depend on two earlier ones; 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 06, 07, and 08 each pull from two upstream units — those are the cascade points where one soft prerequisite quietly breaks several later units.

The biology concept dependency graph A directed graph of the eight units. Chemistry of Life and Cells feed Energetics; Cells feeds the Cell Cycle, which feeds Heredity; Chemistry of Life and Heredity feed Gene Expression; Heredity and Gene Expression feed Natural Selection; Energetics and Natural Selection feed Ecology. 01Chem of Life 02Cells 03Energetics 04Cell Cycle 05Heredity 06Gene Expr. 07Selection 08Ecology
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 Chemistry of Life— (entry point)
02 Cell Structure & Function— (entry point)
03 Cellular Energetics01 (macromolecules, enzymes) + 02 (membranes, transport)
04 Cell Communication & Cycle02 (signaling depends on membrane structure)
05 Heredity04 (meiosis depends on the cell cycle)
06 Gene Expression01 (DNA chemistry) + 05 (inheritance)
07 Natural Selection05 (allele frequency) + 06 (variation source)
08 Ecology03 (energy flow) + 07 (population adaptation)

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
Can't reason about gene regulation (Unit 06)DNA chemistry from Unit 01 — not the regulation itself.
Chi-square crosses fall apart (Unit 05)Meiosis from Unit 04 — the probability follows the chromosomes.
Energy-flow questions in Ecology stall (Unit 08)Photosynthesis/respiration from Unit 03.
Selection logic doesn't land (Unit 07)Where variation comes from — Unit 06 gene expression.

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 biology concepts depend on a chemistry or applied-math idea from another spoke. When the upstream biology node looks solid but the student still stalls, check the cross-disciplinary dependency before re-teaching the biology.