1. Fundamental Concepts
- Definition: The Law of Unit Character Inheritance, also known as the Law of Segregation, states that each individual possesses two factors (alleles) for each characteristic, which segregate during gamete formation.
- Dominant and Recessive Alleles: One allele may be dominant over another, which is recessive. Dominant alleles are expressed in the phenotype when present, while recessive alleles are only expressed if both alleles are recessive.
- Punnett Square: A visual representation used to predict the probability of inheriting certain traits from parents.
2. Key Concepts
Basic Rule: $${\text{{Each parent contributes one factor to the offspring.}}}$$
Dominance and Recessiveness: $${\text{{If an organism has one dominant and one recessive allele, it will exhibit the trait associated with the dominant allele.}}}$$
Punnett Square Application: $${\text{{Used to determine the genotypes and phenotypes of offspring based on parental genotypes.}}}$$
3. Examples
Example 1 (Basic)
Problem: If a pea plant with genotype $$\text{{Tt}}$$ (where $$\text{{T}}$$ is the dominant allele for tall plants and $$\text{{t}}$$ is the recessive allele for short plants) is crossed with a homozygous recessive plant ($$\text{{tt}}$$), what are the possible genotypes and phenotypes of the offspring?
Step-by-Step Solution:
- Create a Punnett square:
T | t -|- t| Tt | tt
- The possible genotypes are $$\text{{Tt}}$$ and $$\text{{tt}}$$. Since $$\text{{T}}$$ is dominant, all offspring will have the phenotype of tall plants.
Validation: All offspring have the genotype $$\text{{Tt}}$$ or $$\text{{tt}}$$; since $$\text{{T}}$$ is dominant, all offspring will appear tall.
Example 2 (Intermediate)
Problem: Two heterozygous pea plants ($$\text{{Tt}}$$) are crossed. What are the possible genotypes and phenotypes of the offspring?
Step-by-Step Solution:
- Create a Punnett square:
T | t -|- T| TT | Tt t| Tt | tt
- The possible genotypes are $$\text{{TT}}$$, $$\text{{Tt}}$$, and $$\text{{tt}}$$. The phenotypes will be tall ($$\text{{TT}}$$ and $$\text{{Tt}}$$) and short ($$\text{{tt}}$$).
Validation: The ratio of genotypes is 1:2:1 (TT:Tt:tt). The ratio of phenotypes is 3:1 (tall:short).
4. Problem-Solving Techniques
- Punnett Square Construction: Use a grid to systematically list all possible combinations of alleles from the parents.
- Phenotype Identification: Determine the phenotype by identifying which alleles are dominant and recessive.
- Probability Calculation: Calculate the probability of specific genotypes and phenotypes using the Punnett square.