AP Course

AP Biology

Updated for the AP Biology framework effective fall 2025, with concept lessons, data reasoning, quizzes, and practice problems.

Explore life from molecules and cells to evolution and ecosystems through the official AP Biology unit sequence.

AP Biology · Unit 7 · Topic 7.7

Common Ancestry

Evolution is a population-level change explained with variation, inheritance, selection, drift, and common ancestry evidence.

1. Topic Lens

Common Ancestry is studied through natural selection. Connect the system boundary, interacting parts, and measurable evidence before applying a formula.

\[p^2+2pq+q^2=1\]

2. Why the Formula Works

The relationship is built from definitions and conservation reasoning:

  1. For two alleles, their frequencies sum to one: p+q=1.
  2. Random union of gametes is modeled by multiplying the binomial by itself.
  3. Expanding gives expected genotype frequencies under Hardy-Weinberg assumptions.
\[p+q=1\Rightarrow(p+q)^2=p^2+2pq+q^2\]

3. Detailed Visual Model

Pixel diagram for Common AncestryOriginal schematic connecting Common Ancestry to Natural Selection.
Common Ancestry: an original pixel-style model. Use it as a schematic, not a literal scale drawing.

4. Worked Example and Lab Link

A recessive phenotype has frequency q²=0.09 in an idealized population. Find q, p, and 2pq.

Answer: q=0.30, p=0.70, and the expected heterozygote frequency is 0.42.

Investigation idea: Simulate allele sampling across small and large populations to separate drift from directional selection.

Common trap: Hardy-Weinberg is a null model; matching its equation does not prove that every assumption is perfectly met.

Checkpoint · Topic 7.7

Explain how common ancestry supports or limits this conclusion: q=0.30, p=0.70, and the expected heterozygote frequency is 0.42.

Official curriculum reference: College Board AP Biology course page. The explanation and worked example are independently written for this study site.