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How do Mendel's laws and a Punnett square let us predict the genotype and phenotype ratios of a cross?

Use Mendel's laws of segregation and independent assortment, with Punnett squares, to predict the genotype and phenotype ratios and probabilities of monohybrid crosses (GSE SB3.b).

A Georgia Milestones Biology EOC answer on inheritance: alleles, genotype and phenotype, dominant and recessive traits, Mendel's laws, and using Punnett squares to predict the ratios and probabilities of monohybrid crosses.

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  1. What this topic is asking
  2. Alleles, genotype, and phenotype
  3. Dominant and recessive
  4. Mendel's two laws
  5. Punnett squares: predicting a cross
  6. Try this

What this topic is asking

Standard SB3.b asks you to use Mendel's laws and mathematical models (Punnett squares) to predict patterns of inheritance. For the Georgia Milestones Biology EOC this is the most quantitative genetics topic, so you must be fluent with alleles, genotype and phenotype, dominant and recessive, and predicting ratios and probabilities from a cross. Items almost always involve setting up or reading a Punnett square.

Alleles, genotype, and phenotype

Alleles are written as letters: a capital for the dominant allele and the lowercase for the recessive. For height in pea plants, TT is tall (dominant) and tt is short (recessive). An organism with two of the same allele (TTTT or tttt) is homozygous; with two different alleles (TtTt) it is heterozygous.

Dominant and recessive

Mendel's two laws

Gregor Mendel's pea-plant experiments gave two laws the EOC expects:

  • Law of segregation. The two alleles for a gene separate during gamete formation (meiosis), so each gamete carries only one allele for each gene.
  • Law of independent assortment. Alleles for different genes are sorted into gametes independently, so inheriting one trait does not affect another (for genes on different chromosomes).

Segregation is why a Punnett square works: each parent passes one allele, and you combine them to predict the offspring.

Punnett squares: predicting a cross

A Punnett square sets out the alleles each parent can pass and combines them. Write each parent's possible gametes along the top and side, then fill each box by combining the row and column allele. Counting the boxes gives the expected ratio and probability of each genotype and phenotype.

For a cross between two heterozygous tall plants (Tt×TtTt \times Tt), the four boxes are TTTT, TtTt, TtTt, tttt: a genotype ratio of 1:2:11:2:1 and a phenotype ratio of 3 tall to 1 short. Each offspring has a 34\frac{3}{4} probability of being tall and a 14\frac{1}{4} probability of being short. A cross of a heterozygote with a recessive (Tt×ttTt \times tt) instead gives TtTt, TtTt, tttt, tttt: a 1:1 ratio.

Try this

Q1. Define genotype and phenotype. [2 points]

  • Cue. Genotype is the alleles an organism has (for example TtTt); phenotype is the observable trait that results (for example tall).

Q2. A cross of Tt×TtTt \times Tt is carried out. State the genotype ratio and the phenotype ratio. [2 points]

  • Cue. Genotype ratio 1TT:2Tt:1tt1\,TT : 2\,Tt : 1\,tt; phenotype ratio 3 dominant to 1 recessive.

Exam-style practice questions

Practice questions written in the style of GaDOE exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

Milestones (style)1 marksIn pea plants, the allele for tall (T) is dominant to short (t). Two heterozygous tall plants (Tt) are crossed. What is the expected phenotype ratio of the offspring? (A) 1 tall to 1 short (B) 3 tall to 1 short (C) all tall (D) all short
Show worked answer →

A 1-point selected-response item on a monohybrid cross.

The correct answer is B. A cross of Tt×TtTt \times Tt gives genotypes TTTT, TtTt, TtTt, tttt, which is 3 tall to 1 short (a 3:1 phenotype ratio). A (1:1) would come from Tt×ttTt \times tt, C ignores the recessive offspring, and D is impossible when both parents carry a dominant allele. The 3:1 ratio from a heterozygous cross is the most-tested result in Mendelian genetics.

Milestones (style)2 marksIn guinea pigs, black fur (B) is dominant to white (b). A heterozygous black guinea pig (Bb) is crossed with a white one (bb). Complete a Punnett square and state the probability that an offspring is white.
Show worked answer →

A 2-point technology-enhanced item requiring a worked Punnett square.

The cross Bb×bbBb \times bb gives offspring BbBb, BbBb, bbbb, bbbb: two black and two white, a 1:11:1 ratio. Two of the four boxes are bbbb (white), so the probability of a white offspring is 24=12\frac{2}{4} = \frac{1}{2}, which is 50 percent. Full points need the correct genotypes in the square and the probability stated as one half (50 percent).

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