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Mendelian Genetics

Long before anyone had seen a gene, Gregor Mendel worked out the rules of inheritance by counting pea plants. His central insight was to separate what an organism carries from what it shows: its genotype is the pair of alleles it inherits at a gene, while its phenotype is the trait those alleles produce. A dominant allele masks a recessive one, so two different genotypes — a homozygous dominant and a heterozygote — can display the exact same phenotype. Keeping these two layers distinct is the whole game: the visible trait never tells you the full genotype by itself.

From there, inheritance becomes probability. Each parent passes one allele per gene at random, so a cross is just a set of independent coin flips, and a Punnett square is the bookkeeping that turns those flips into offspring ratios — the classic 3:1 phenotype ratio, or 1:2:1 by genotype, from a monohybrid cross. But a real sample of offspring never lands exactly on the predicted numbers. To decide whether the deviation is just sampling noise or evidence that your model is wrong, you use the chi-square test for goodness of fit, comparing observed counts against what the cross predicts.

Overview of Topic 5.3: Mendelian genetics — a monohybrid cross where each parent contributes one allele at random, a Punnett square resolving the offspring into a 3:1 phenotype (1:2:1 genotype) ratio, and a chi-square goodness-of-fit test comparing observed counts against the expected ratio to judge whether the deviation is sampling noise or a failed model. Topic 5.3 infographicAdd bio5.3.svg to /bio/ to display
Interactive · Mendel & Chi-Square

Set up a cross, fill the Punnett square, and predict the offspring ratio — then sample a real batch of offspring and run the chi-square test to see whether the deviation from the expected ratio is just noise or a signal that your model is off.

Mendel & Chi-Square · Open the full sandbox →

The mistakes here cluster around those two layers. One is collapsing genotype into phenotype — reading a dominant trait as if it pinned down the genotype, or assuming "dominant" means "more common" (U5-BIO1, U5-BIO7). The others live in the counting: mishandling the probability of a cross or misreading a Punnett square (U5-BIO2, U5-BIO8), and treating chi-square as a yes/no verdict rather than a comparison of observed and expected counts against a threshold (U5-BIO9). Every scenario here asks you to reason from alleles to traits to predicted ratios, and to know when the data actually contradict the model.

The work

3 ways in · any order
Lesson
Mendelian Genetics

Genotype is the alleles an organism carries; phenotype is the trait they produce, and a dominant allele can hide a recessive one so the same phenotype can come from different genotypes. The lesson walks the ways students misread that map — collapsing genotype into phenotype, mishandling the probability behind a cross, misreading a Punnett square, and treating chi-square as a verdict instead of a comparison. It closes with a ten-scenario applet that asks you to reason from alleles to traits to predicted offspring ratios.

Skill check · 10 scenarios
Diagnostic
10-item topic check

Ten items on Mendelian genetics — that genotype (the alleles carried) is not the same as phenotype (the trait shown), and that "dominant" is not "more common" (U5-BIO1, U5-BIO7); that a cross is a probability calculation and a Punnett square is its bookkeeping (U5-BIO2, U5-BIO8); and that chi-square compares observed against expected counts to test a model rather than deliver a verdict (U5-BIO9). Take it cold to surface which of these are still tangled, or after the lesson to confirm they hold.

Not started · 10 items · ~15 min
Targeted Practice
Drill a single misconception

Pick one of the failure modes you missed and drill it on its own. The round is adaptive: two correct in a row clears the misconception and moves you to the next.

Take the diagnostic to identify your misconceptions