SECTION 1
Historical Context & Motivation
For centuries, people noticed that children tend to resemble their parents—eye color, hair texture, and even certain diseases seemed to run in families. Yet no one could explain how these traits were transmitted. Early ideas ranged from "blending inheritance," which proposed that parental traits mixed like paint, to the belief that traits could be acquired during a parent's lifetime and passed on. The scientific study of inheritance—the biological process by which traits are transmitted from parents to offspring—began in earnest in a monastery garden in the 1860s, and it has since transformed medicine, agriculture, and our understanding of life itself.
1866 • Mendel Publishes His Laws
1900 • Rediscovery of Mendel's Work
1910 • Morgan and Fruit Flies
1953 • DNA Structure Revealed
2003 • Human Genome Project Completed
The central question that drove these discoveries remains at the heart of this lesson: How do parents pass specific traits to their offspring, and why do some traits appear to skip generations? To answer this, we need to explore the rules Mendel uncovered and the biological mechanisms that make inheritance possible.
SECTION 2
Core Principles of Inheritance
Inheritance operates through a set of core principles that Mendel first described and that modern biology has expanded. Before diving in, it helps to define a few essential terms. A gene is a segment of DNA that codes for a particular protein or trait. Different versions of the same gene are called alleles. Because most organisms inherit one set of chromosomes from each parent, they carry two alleles for each gene—one from mom and one from dad. The combination of alleles an organism carries is its genotype, while the observable characteristic that results is the phenotype.
Law of Segregation
Law of Independent Assortment
Dominance and Recessiveness
Homozygous vs. Heterozygous
KEY TAKEAWAY
SECTION 3
Visualizing a Monohybrid Cross
The most powerful tool for predicting inheritance outcomes is the Punnett square, a grid that maps every possible combination of parental alleles. The diagram below shows a monohybrid cross—a cross examining a single gene—between two heterozygous parents (Aa × Aa). Each parent contributes either an A or an a allele to each offspring, giving four equally likely combinations.
Notice that three out of four offspring show the dominant phenotype, but their genotypes differ: one is homozygous dominant (AA) and two are heterozygous (Aa). Only one out of four is homozygous recessive (aa) and displays the recessive phenotype. This is the classic 3:1 phenotypic ratio and 1:2:1 genotypic ratio that Mendel first observed in his pea plants.
SECTION 4
The Biological Mechanism Behind Inheritance
Mendel didn't know about chromosomes or DNA, but today we understand the physical basis for his laws. Genes reside on chromosomes—long strands of DNA found in the nucleus of every cell. Humans have 23 pairs of chromosomes (46 total), with one set of 23 inherited from each parent. During meiosis, the type of cell division that produces gametes (sperm and egg cells), homologous chromosome pairs separate so that each gamete receives just one chromosome from each pair. This physical separation is what Mendel's Law of Segregation describes at the molecular level.
Predicting Probabilities
While Punnett squares help visualize outcomes, we can also express inheritance predictions mathematically. Each gamete has an equal probability of carrying either allele, so the probability of any specific genotype in the offspring can be calculated using the multiplication rule of probability.
PROBABILITY OF A SPECIFIC GENOTYPE
For a cross Aa × Aa: P(AA) = ½ × ½ = ¼; P(Aa) = (½ × ½) + (½ × ½) = ½; P(aa) = ½ × ½ = ¼. Each parent has a ½ chance of passing on either allele.
PRODUCT RULE FOR INDEPENDENT EVENTS
When two genes are on different chromosomes, the inheritance of each is independent. The probability of a specific combination of genotypes at two loci equals the product of the individual probabilities.
PHENOTYPIC RATIO (MONOHYBRID)
In a monohybrid cross between two heterozygous parents, 75% (¾) of offspring display the dominant phenotype and 25% (¼) display the recessive phenotype.
IB Exam Tip
SECTION 5
Patterns of Inheritance Beyond Simple Dominance
Mendel's peas showed neat dominant-recessive patterns, but inheritance in the real world is often more nuanced. Several important patterns extend beyond simple Mendelian dominance, and the IB syllabus expects you to recognize and apply them.
The key distinction between incomplete dominance and codominance often confuses students. In incomplete dominance, the heterozygote's phenotype is an intermediate blend—like mixing red and white flowers to produce pink ones. In codominance, both alleles are fully expressed side by side—like a flower with distinct red and white patches, or human blood type AB where both A and B surface molecules are present on red blood cells.
Sex-Linked Traits
SECTION 6
Worked Example: Dihybrid Cross
Let's work through a dihybrid cross—a cross involving two genes simultaneously. In guinea pigs, black coat colour (B) is dominant over brown (b), and short hair (S) is dominant over long hair (s). Both parents are heterozygous for both traits (BbSs). What are the expected phenotypic ratios among their offspring?
Dihybrid Cross: BbSs × BbSs
- 1
Step 1 — Define Alleles and Parental Genotypes
Let B = black coat (dominant), b = brown coat (recessive), S = short hair (dominant), s = long hair (recessive). Both parents have the genotype BbSs, meaning they are heterozygous for both genes. - 2
Step 2 — Determine Possible Gametes
By the Law of Independent Assortment, each parent can produce four types of gametes: BS, Bs, bS, and bs. Each gamete type has an equal probability of ¼.Gametes: BS, Bs, bS, bs (each with probability ¼) - 3
Step 3 — Set Up a 4 × 4 Punnett Square
Placing one parent's four gametes across the top and the other parent's four gametes down the side creates a 4 × 4 grid with 16 possible genotype combinations. Rather than drawing the full grid here, we can use the product rule: analyze each gene independently and then multiply. - 4
Step 4 — Analyze Each Gene Independently
For coat colour (Bb × Bb): P(black phenotype) = ¾, P(brown phenotype) = ¼. For hair length (Ss × Ss): P(short phenotype) = ¾, P(long phenotype) = ¼. - 5
Step 5 — Combine Using the Product Rule
Black, short = ¾ × ¾ = 9/16. Black, long = ¾ × ¼ = 3/16. Brown, short = ¼ × ¾ = 3/16. Brown, long = ¼ × ¼ = 1/16.Phenotypic ratio = 9 black short : 3 black long : 3 brown short : 1 brown long (9:3:3:1)
REMEMBER THE RATIOS
SECTION 7
Test Crosses and Pedigree Analysis
A common challenge in genetics is determining the genotype of an organism that shows the dominant phenotype—is it homozygous dominant (AA) or heterozygous (Aa)? A test cross solves this problem. You cross the unknown individual with a homozygous recessive (aa) individual. If any offspring show the recessive phenotype, the unknown parent must be heterozygous.
| Test Cross Scenario | Unknown Parent Genotype | Offspring Phenotypes |
|---|---|---|
| All offspring dominant | AA (homozygous dominant) | 100% dominant phenotype |
| Some offspring recessive | Aa (heterozygous) | ~50% dominant, ~50% recessive |
Interpreting test cross results to determine an unknown genotype
Pedigree Analysis
In humans, we cannot perform deliberate crosses, so geneticists study inheritance patterns using pedigree charts—family tree diagrams that track traits across generations. In pedigrees, squares represent males, circles represent females, shaded shapes indicate individuals expressing the trait, and horizontal lines connect mating pairs. The IB exam frequently asks you to determine whether a trait is autosomal dominant, autosomal recessive, or sex-linked based on a pedigree.
- Autosomal recessive: Trait can skip generations; unaffected parents can have affected children; males and females affected equally.
- Autosomal dominant: Trait appears in every generation; an affected child must have at least one affected parent; males and females affected equally.
- X-linked recessive: More males affected than females; affected fathers cannot pass the trait to sons; carrier mothers can pass it to sons.
PEDIGREE STRATEGY
SECTION 8
Connecting Mendel to Modern Genetics
While Mendel's laws form the foundation of genetics, modern biology has revealed that inheritance is far more complex than simple dominant-recessive patterns. Understanding these extensions helps you see where IB Biology connects to HL topics and university-level genetics.
| Mendelian Concept | Modern Extension | Example |
|---|---|---|
| One gene → one trait | Polygenic inheritance: many genes influence one trait | Human height (controlled by hundreds of gene variants) |
| Genes act independently | Epistasis: one gene modifies the expression of another | Coat colour in Labrador dogs (E gene controls whether B gene pigment is deposited) |
| Genes always segregate independently | Linked genes: genes on the same chromosome tend to be inherited together | Genes close together on the same chromosome recombine less frequently |
| Genotype alone determines phenotype | Environmental influence: environment can affect gene expression | Hydrangea flower colour changes with soil pH; identical twins can differ in health outcomes |
How modern genetics extends Mendel's foundational ideas
At the HL level and beyond, you will explore gene linkage and recombination, where crossing over during meiosis can create new allele combinations on a chromosome. You'll also encounter epigenetics—heritable changes in gene expression that do not involve changes in the DNA sequence itself. These topics build directly on the Mendelian foundation you've learned in this lesson, so mastering these core concepts now will set you up for success.
SECTION 9
Practice Problems
Question 1: CONCEPTUAL
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Question 2: BASIC CALCULATION
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Question 3: INTERMEDIATE
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Question 4: APPLIED
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Question 5: CRITICAL THINKING
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SUMMARY
Lesson Summary
Summary
Inheritance is the process by which genetic information is passed from parents to offspring. Gregor Mendel established its foundational rules through pea-plant experiments, discovering the Law of Segregation (alleles separate during gamete formation) and the Law of Independent Assortment (genes on different chromosomes are inherited independently). A Punnett square predicts offspring genotypes and phenotypes, yielding characteristic ratios like 3:1 for monohybrid crosses and 9:3:3:1 for dihybrid crosses with complete dominance.
Beyond simple dominance, inheritance patterns include incomplete dominance (blended heterozygote phenotype), codominance (both alleles fully expressed), sex-linked inheritance (genes on the X chromosome), and polygenic inheritance (multiple genes controlling one trait). Test crosses reveal unknown genotypes, while pedigree analysis traces traits through human families. Mastering these concepts provides the foundation for understanding evolution, genetic disorders, and modern biotechnology.