Understanding the probability and ratios of offspring is fundamental in the study of genetics, particularly within the framework of Punnett Squares and genetic diagrams. This topic is essential for students in the IB MYP 4-5 Science curriculum, as it provides the tools to predict genetic outcomes and comprehend hereditary patterns. Mastery of these concepts facilitates a deeper appreciation of genetic diversity and inheritance mechanisms.

Key Concepts

Genetic Probability

Genetic probability refers to the likelihood of an offspring inheriting specific alleles from their parents. This concept is pivotal in predicting genetic traits and understanding the distribution of hereditary characteristics. The probability is calculated based on the combination of alleles each parent can pass on.

Mendelian Inheritance

Mendelian inheritance is the set of primary principles associated with the transmission of genetic traits from parents to offspring, discovered by Gregor Mendel. It involves the segregation of allele pairs during gamete formation and their independent assortment.

Punnett Squares

A Punnett Square is a diagram that allows geneticists to predict the probability of an offspring's genotype based on the parents' genotypes. By outlining the possible allele combinations, Punnett Squares provide a visual representation of inheritance patterns.

For example, consider a simple monohybrid cross where one parent is homozygous dominant (AA) and the other is homozygous recessive (aa). The Punnett Square would show all possible genotypic combinations:

$$ \begin{array}{c|c|c} & A & A \\ \hline a & Aa & Aa \\ \hline a & Aa & Aa \\ \end{array} $$

Each square represents a potential genotype of the offspring, indicating a 100% probability of being heterozygous (Aa) in this scenario.

Genotypic Ratios

Genotypic ratios express the proportion of different genotypes in the offspring. They are derived from the number of each genotype present in the Punnett Square. These ratios help in quantifying the distribution of genetic traits.

Continuing the earlier example, the genotypic ratio is 100% Aa, meaning all offspring will possess the heterozygous genotype.

Phenotypic Ratios

Phenotypic ratios indicate the proportion of offspring exhibiting particular physical traits, regardless of their genotype. These ratios are influenced by the dominance relationships between alleles.

In the monohybrid cross example, since Aa exhibits the dominant trait, the phenotypic ratio is also 100% expressing the dominant phenotype.

Dihybrid Crosses

Dihybrid crosses involve two different traits and assess the probability of different combinations of these traits in the offspring. Punnett Squares for dihybrid crosses are larger, typically 4x4 grids, to accommodate the increased genetic variation.

For instance, crossing two heterozygous parents (AaBb x AaBb) for two traits would result in a phenotypic ratio of 9:3:3:1, representing the combinations of dominant and recessive traits.

$$ \begin{array}{c|c|c|c|c} & AB & Ab & aB & ab \\ \hline AB & AABB & AABb & AaBB & AaBb \\ \hline Ab & AABb & AAbb & AaBb & Aabb \\ \hline aB & AaBB & AaBb & aaBB & aaBb \\ \hline ab & AaBb & Aabb & aaBb & aabb \\ \end{array} $$

Independent Assortment

The principle of independent assortment states that alleles of different genes assort independently during gamete formation. This means the inheritance of one trait generally does not influence the inheritance of another, leading to genetic variation.

Probability Rules in Genetics

Several probability rules apply in genetic predictions:

Addition Rule: Used when calculating the probability of either of two mutually exclusive events occurring.
Multiplication Rule: Used when calculating the probability of both of two independent events occurring.

For example, the probability of rolling a die and getting either a 2 or a 5 is calculated using the addition rule:

$$ P(2 \text{ or } 5) = P(2) + P(5) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3} $$

Incomplete Dominance and Codominance

Incomplete dominance occurs when neither allele is completely dominant over the other, resulting in a heterozygote with an intermediate phenotype. Codominance is when both alleles are fully expressed in the heterozygote.

For example, in incomplete dominance, crossing RR (red) with rr (white) results in Rr (pink). In codominance, crossing RR and rr would result in both red and white patches in the heterozygote.

Linked Genes and Recombination

Linked genes are genes located close to each other on the same chromosome, which tend to be inherited together. Recombination during meiosis can break these linkages, leading to new allele combinations.

Applications of Probability in Genetics

Probability in genetics is applied in various fields, including agriculture for breeding programs, medicine for predicting genetic disorders, and conservation biology for maintaining genetic diversity in endangered species.

Limitations of Punnett Squares

While Punnett Squares are useful for simple genetic predictions, they have limitations. They become cumbersome with multiple traits and do not account for factors like gene linkage, mutation, and environmental influences on gene expression.

Advanced Genetic Diagrams

Beyond Punnett Squares, other genetic diagrams like probability trees and chi-square tests are used for more complex genetic analyses, providing deeper insights into inheritance patterns and genetic variations.

Comparison Table

Aspect	Punnett Squares	Probability Rules
Definition	Diagrams used to predict genetic outcomes based on parental genotypes.	Mathematical principles used to calculate the likelihood of genetic events.
Applications	Predicting offspring genotypes and phenotypes in monohybrid and dihybrid crosses.	Calculating probabilities in complex genetic scenarios, including polygenic traits.
Pros	Simple visual tool for basic genetic predictions.	Provides accurate probabilities for various genetic events.
Cons	Limited to simple crosses; becomes complex with multiple traits.	Requires understanding of probability concepts; not as intuitive as Punnett Squares.

Summary and Key Takeaways

Genetic probability and ratios are essential for predicting offspring characteristics.
Punnett Squares provide a visual method for determining genotype and phenotype distributions.
Understanding probability rules enhances the accuracy of genetic predictions.
While powerful, Punnett Squares have limitations in complex genetic analyses.
Applications of these concepts span agriculture, medicine, and conservation biology.

Examiner Tip

Tips

1. Memorize Key Ratios: Familiarize yourself with common genotypic and phenotypic ratios, such as 3:1 for monohybrid crosses.
2. Practice Punnett Squares: Regularly draw and solve Punnett Squares for different genetic crosses to build confidence.
3. Understand Terminology: Clearly differentiate between terms like homozygous, heterozygous, genotype, and phenotype.
Mnemonic: Use "GAP" - Genotype And Phenotype to remember the difference between genetic makeup and physical traits.

Did You Know

1. Gregor Mendel, known as the father of genetics, used pea plants to establish the fundamental laws of inheritance, laying the groundwork for Punnett Squares.
2. The concept of independent assortment explains why siblings can have different combinations of traits, adding to genetic diversity.
3. Punnett Squares can be expanded to predict the probability of multiple traits, although they become more complex with each additional trait.

Common Mistakes

1. Miscounting Allele Combinations: Students often overlook possible allele pairings, leading to incorrect ratio calculations.
Incorrect: Assuming only dominant traits appear.
Correct: Considering both dominant and recessive alleles in the Punnett Square.

2. Confusing Genotype and Phenotype: Mixing up the genetic makeup (genotype) with the physical expression (phenotype).
Incorrect: Saying "Aa" displays the heterozygous genotype as its phenotype.
Correct: "Aa" genotype results in the dominant phenotype.

3. Ignoring Gene Linkage: Failing to account for linked genes can skew predicted ratios in Punnett Squares.

FAQ

What is a Punnett Square?

A Punnett Square is a diagram used in genetics to predict the probability of an offspring's genotype and phenotype based on the parents' genetic makeup.

How do you calculate phenotypic ratios?

Phenotypic ratios are calculated by counting the number of offspring exhibiting each trait and expressing them in proportion to the total number of offspring.

What is the difference between incomplete dominance and codominance?

Incomplete dominance results in an intermediate phenotype, while codominance results in both alleles being fully expressed simultaneously.

Can Punnett Squares be used for multiple traits?

Yes, Punnett Squares can be expanded for dihybrid or multihybrid crosses, but they become larger and more complex as more traits are considered.

What are linked genes?

Linked genes are genes that are located close to each other on the same chromosome and tend to be inherited together.

Why are probability rules important in genetics?

Probability rules help accurately predict the likelihood of genetic outcomes, ensuring a better understanding of inheritance patterns and trait distribution.

1. Electricity and Magnetism

1.1 Magnetic Fields and Electromagnetism

1.1.1 Magnetic Field Around a Bar Magnet

1.1.2 Field Lines Around Currents and Solenoids

1.1.3 Right-Hand Rule and Magnetic Direction

1.1.4 Strengthening Electromagnets

1.1.5 Uses of Electromagnets in Real Life

1.2 Everyday Applications and Safety

1.2.1 Electric Fuses and Circuit Breakers

1.2.2 Earth Wires and Electrical Grounding

1.2.3 Dangers of Overloading and Short Circuits

1.2.4 Household Wiring and Power Ratings

1.2.5 Electricity Safety Rules and First Aid

1.3 Static and Current Electricity

1.3.1 Understanding Static Charge and Discharge

1.3.2 Charging by Friction, Induction, and Conduction

1.3.3 Electric Field Concepts (Introductory)

1.3.4 Hazards and Uses of Static Electricity

1.3.5 Comparison Between Static and Current Electricity

1.4 Series and Parallel Circuits

1.4.1 Constructing Simple Electrical Circuits

1.4.2 Current and Voltage in Series Circuits

1.4.3 Current and Voltage in Parallel Circuits

1.4.4 Advantages and Applications of Each Type

1.4.5 Measuring Current and Voltage with Ammeters and Voltmeters

1.5 Resistance, Voltage, and Current

1.5.1 Ohm’s Law: V = IR

1.5.2 Factors Affecting Resistance

1.5.3 Graphing V-I Characteristics for Resistors and Bulbs

1.5.4 Calculating Resistance in Series and Parallel

1.5.5 Practical Circuits and Energy Consumption

2. Human Body Systems

2.1 Immune System and Diseases

2.1.1 Components of the Immune System

2.1.2 First and Second Line of Defense

2.1.3 Vaccination and Immunity

2.1.4 Pathogens: Bacteria, Viruses, Fungi, and Parasites

2.1.5 Antibiotics, Resistance, and Public Health

2.2 Homeostasis and Regulation

2.2.1 Definition and Importance of Homeostasis

2.2.2 Negative Feedback Mechanisms

2.2.3 Regulation of Body Temperature

2.2.4 Control of Blood Glucose Levels

2.2.5 Disruption of Homeostasis and Disease

2.3 Circulatory and Respiratory Systems

2.3.1 Structure and Function of the Heart

2.3.2 Blood Vessels: Arteries, Veins, Capillaries

2.3.3 Components and Functions of Blood

2.3.4 Structure and Function of the Lungs

2.3.5 Gas Exchange and Role of Alveoli

2.4 Digestive and Excretory Systems

2.4.1 Organs of the Digestive Tract and Their Functions

2.4.2 Mechanical vs Chemical Digestion

2.4.3 Role of Enzymes in Digestion

2.4.4 Absorption in the Small Intestine and Villi

2.4.5 Structure and Function of Kidneys and Nephrons

2.5 Nervous and Endocrine Systems

2.5.1 Structure and Function of the Nervous System

2.5.2 Reflex Arcs and Response to Stimuli

2.5.3 Central and Peripheral Nervous System

2.5.4 Hormones and Their Functions

2.5.5 Comparing Nervous and Hormonal Control

3. Forces and Motion

3.1 Mass, Weight, and Gravity

3.1.1 Distinguishing Mass from Weight

3.1.2 Calculating Weight Using W = mg

3.1.3 Gravitational Field Strength on Earth and Other Planets

3.1.4 Free Fall and the Effect of Gravity

3.1.5 Weightlessness and Orbiting Objects

3.2 Friction, Air Resistance, and Terminal Velocity

3.2.1 Friction: Causes, Effects, and Reduction

3.2.2 Air Resistance and Streamlining

3.2.3 Terminal Velocity in Free Fall

3.2.4 Benefits and Drawbacks of Friction

3.2.5 Applications in Engineering and Sports

3.3 Types of Forces and Newton’s Laws

3.3.1 Types of Forces: Contact and Non-Contact

3.3.2 Newton’s First Law: Inertia and Balanced Forces

3.3.3 Newton’s Second Law: F = ma

3.3.4 Newton’s Third Law: Action and Reaction Pairs

3.3.5 Force Diagrams and Vector Representation

3.4 Balanced vs Unbalanced Forces

3.4.1 Identifying Balanced and Unbalanced Force Scenarios

3.4.2 Motion of Objects Under Balanced Forces

3.4.3 Effect of Unbalanced Forces on Motion

3.4.4 Calculating Net Force in One and Two Dimensions

3.4.5 Friction and Its Role in Balance

3.5 Motion Graphs: Distance-Time and Speed-Time

3.5.1 Interpreting Distance-Time Graphs

3.5.2 Calculating Speed from a Graph

3.5.3 Interpreting Speed-Time Graphs

3.5.4 Calculating Acceleration and Area Under Graphs

3.5.5 Describing Motion Qualitatively and Quantitatively

4. Acids, Bases, and Salts

4.1 Making and Testing Salts

4.1.1 Preparing Soluble Salts Using Different Methods

4.1.2 Using Acid + Base, Acid + Metal, Acid + Carbonate Reactions

4.1.3 Filtering, Crystallizing, and Drying a Salt

4.1.4 Testing Salts for Solubility and Identity

4.1.5 Understanding Solubility Rules for Salts

4.2 Applications of Acids and Bases

4.2.1 Acids in Industry: Cleaning, Fertilizers, Battery Acid

4.2.2 Bases in Everyday Products: Soap, Toothpaste, Drain Cleaners

4.2.3 Role of Acids and Bases in Environmental Chemistry

4.2.4 pH Control in Agriculture and Swimming Pools

4.2.5 Safety and Storage of Corrosive Substances

4.3 Properties of Acids and Bases

4.3.1 Physical and Chemical Properties of Acids

4.3.2 Physical and Chemical Properties of Bases

4.3.3 Common Examples and Uses of Acids and Bases

4.3.4 Laboratory Safety When Handling Acids and Bases

4.3.5 Conductivity of Acidic and Basic Solutions

4.4 pH Scale and Indicators

4.4.1 Understanding the pH Scale (0–14)

4.4.2 Using Litmus, Universal, and Natural Indicators

4.4.3 Strong vs Weak Acids and Bases (Conceptual)

4.4.4 Measuring pH Using Electronic and Paper Meters

4.4.5 Everyday Substances and Their pH Values

4.5 Neutralization Reactions

4.5.1 Definition and Real-Life Examples of Neutralization

4.5.2 Word and Symbol Equations for Neutralization

4.5.3 pH Changes During Neutralization

4.5.4 Applications: Indigestion, Agriculture, Waste Treatment

4.5.5 Heat Changes During Neutralization (Intro to Enthalpy)

5. Genetics and Reproduction

5.1 Variation and Selective Breeding

5.1.1 Sources of Genetic and Environmental Variation

5.1.2 Continuous vs Discontinuous Variation

5.1.3 Artificial Selection in Plants and Animals

5.1.4 Benefits and Risks of Selective Breeding

5.1.5 Natural Selection (Introductory Concept)

5.2 Ethical Issues in Genetics

5.2.1 Genetic Testing and Screening

5.2.2 Genetic Modification and GM Crops

5.2.3 Cloning and Its Controversies

5.2.4 Privacy, Consent, and Use of Genetic Data

5.2.5 Balancing Scientific Progress and Ethics

5.3 DNA Structure and Genetic Inheritance

5.3.1 Structure and Components of DNA

5.3.2 Chromosomes, Genes, and Nucleotides

5.3.3 How DNA Codes for Proteins (Introductory)

5.3.4 Human Genome and Genetic Information

5.3.5 Replication and Genetic Consistency

5.4 Dominant, Recessive, and Co-Dominant Traits

5.4.1 Understanding Dominant and Recessive Alleles

5.4.2 Phenotype vs Genotype

5.4.3 Punnett Squares and Genetic Crosses

5.4.4 Examples of Inherited Traits in Humans

5.4.5 Incomplete and Co-Dominance (Introductory)

5.5 Punnett Squares and Genetic Diagrams

5.5.1 Constructing and Interpreting Punnett Squares

5.5.2 Monohybrid Crosses

5.5.3 Probability and Ratios of Offspring

5.5.4 Predicting Carrier and Affected Individuals

5.5.5 Limitations and Assumptions of Punnett Models

6. Scientific Inquiry and Skills

6.1 Graphing and Data Analysis

6.1.1 Choosing Appropriate Graph Types

6.1.2 Labeling Axes and Using Scale Accurately

6.1.3 Interpreting Line Graphs, Bar Charts, and Pie Charts

6.1.4 Finding Trends and Patterns in Graphs

6.1.5 Using Graphs to Make Predictions

6.2 Evaluating Results and Drawing Conclusions

6.2.1 Analyzing Data to Support or Reject Hypothesis

6.2.2 Sources of Error and How to Reduce Them

6.2.3 Improving Experimental Design

6.2.4 Reliability, Validity, and Repetition

6.2.5 Communicating Scientific Findings Effectively

6.3 Scientific Method and Experimental Design

6.3.1 Steps of the Scientific Method

6.3.2 Formulating Testable Hypotheses

6.3.3 Designing Fair and Controlled Experiments

6.3.4 Variables: Independent, Dependent, Controlled

6.3.5 Distinguishing Between Theory, Law, and Hypothesis

6.4 Measurement, Units, and SI Conventions

6.4.1 SI Base Units and Derived Units

6.4.2 Using Prefixes: milli-, centi-, kilo-

6.4.3 Accuracy, Precision, and Significant Figures

6.4.4 Instrument Selection and Measurement Techniques

6.4.5 Errors and Uncertainty in Measurements

6.5 Data Collection and Recording Techniques

6.5.1 Creating Effective Data Tables

6.5.2 Recording Observations vs Inferences

6.5.3 Use of Tally Marks, Frequency, and Time Logs

6.5.4 Recording Qualitative and Quantitative Data

6.5.5 Safety and Ethical Considerations in Data Gathering

7. Energy and Work

7.1 Heat Transfer: Conduction, Convection, Radiation

7.1.1 Conduction in Solids and Thermal Conductors

7.1.2 Convection in Liquids and Gases

7.1.3 Radiation and Emission of Infrared Energy

7.1.4 Comparing All Three Modes of Heat Transfer

7.1.5 Insulation Techniques and Practical Applications

7.2 Energy Transformations in Real-World Devices

7.2.1 Energy Changes in Light Bulbs, Motors, and Toasters

7.2.2 Energy in Food Chains and the Human Body

7.2.3 Battery to Mechanical Energy Conversion

7.2.4 Identifying Input and Output Energy Forms

7.2.5 Designing Energy-Efficient Systems

7.3 Forms and Conservation of Energy

7.3.1 Different Forms of Energy: Kinetic, Potential, Thermal, etc.

7.3.2 Energy Transformations and Real-Life Examples

7.3.3 Law of Conservation of Energy

7.3.4 Energy Flow in Systems

7.3.5 Useful vs Wasted Energy and Sankey Diagrams

7.4 Work, Power, and Efficiency

7.4.1 Definition and Formula for Work Done

7.4.2 Calculating Power and Energy Transfer Rate

7.4.3 Efficiency = Useful Output / Total Input × 100

7.4.4 Units: Joules, Watts, and Their Conversions

7.4.5 Improving Efficiency in Machines and Devices

7.5 Renewable and Non-Renewable Resources

7.5.1 Types of Renewable Energy Sources

7.5.2 Fossil Fuels and Their Environmental Impact

7.5.3 Advantages and Disadvantages of Energy Resources

7.5.4 Energy Resource Comparison Chart

7.5.5 Global Energy Use and Sustainability

8. Atomic Structure and the Periodic Table

8.1 Periodic Table: Groups and Periods

8.1.1 Structure and Organization of the Periodic Table

8.1.2 Metals, Non-Metals, and Metalloids

8.1.3 Identifying Groups, Periods, and Atomic Number

8.1.4 Group 1: Alkali Metals

8.1.5 Group 17: Halogens and Group 18: Noble Gases

8.2 Periodic Trends and Element Properties

8.2.1 Trends in Reactivity Down Groups

8.2.2 Trends in Atomic Radius, Ionization Energy

8.2.3 Electronegativity Across Periods

8.2.4 Chemical Properties Based on Position

8.2.5 Predicting Properties of Unknown Elements

8.3 Structure of the Atom

8.3.1 Subatomic Particles: Protons, Neutrons, Electrons

8.3.2 Atomic Number, Mass Number, and Nuclear Symbol

8.3.3 Structure of the Nucleus and Electron Shells

8.3.4 Charge and Mass of Subatomic Particles

8.3.5 Development of Atomic Models (Dalton to Bohr)

8.4 Isotopes and Relative Atomic Mass

8.4.1 Definition and Examples of Isotopes

8.4.2 Calculating Relative Atomic Mass (RAM)

8.4.3 Uses of Isotopes in Medicine and Industry

8.4.4 Stability of Isotopes and Radioactivity (Intro)

8.4.5 Representing Isotopes with Notation

8.5 Electronic Configuration and Shell Model

8.5.1 Understanding Electron Shells

8.5.2 Electron Configuration Notation

8.5.3 Rules for Filling Electron Shells

8.5.4 Electronic Configuration of Ions (Intro)

8.5.5 Relating Configuration to Reactivity

9. Ecology and Environment

9.1 Biodiversity and Conservation

9.1.1 Importance of Biodiversity in Ecosystems

9.1.2 Threats to Biodiversity: Habitat Loss, Pollution, Climate Change

9.1.3 Endangered Species and Extinction

9.1.4 Conservation Strategies and Protected Areas

9.1.5 International Agreements on Conservation

9.2 Human Impact and Climate Change

9.2.1 Greenhouse Gases and Global Warming

9.2.2 Carbon Cycle and Human Disruption

9.2.3 Deforestation, Urbanization, and Land Use

9.2.4 Sustainable Practices and Renewable Energy

9.2.5 Climate Action and Global Citizenship

9.3 Ecosystems and Trophic Levels

9.3.1 Definition and Components of an Ecosystem

9.3.2 Producers, Consumers, and Decomposers

9.3.3 Trophic Levels and Energy Transfer

9.3.4 Biomass Pyramids and Energy Pyramids

9.3.5 Limiting Factors and Ecosystem Stability

9.4 Biotic and Abiotic Factors

9.4.1 Definition and Examples of Abiotic Factors

9.4.2 How Biotic Factors Influence Population Size

9.4.3 Adaptations to Environmental Conditions

9.4.4 Interdependence in Communities

9.4.5 Ecosystem Changes Due to Natural and Human Causes

9.5 Food Webs, Pyramids, and Energy Flow

9.5.1 Constructing and Analyzing Food Webs

9.5.2 Energy Loss at Each Trophic Level

9.5.3 Bioaccumulation and Toxins

9.5.4 Ecological Efficiency and Energy Flow

9.5.5 Disruption of Food Webs

10. Cells and Biological Processes

10.1 Enzymes and Metabolism

10.1.1 Structure and Function of Enzymes

10.1.2 Factors Affecting Enzyme Activity

10.1.3 Enzyme Specificity and Active Site

10.1.4 Denaturation and pH/Temperature Effects

10.1.5 Role of Enzymes in Digestion and Respiration

10.2 Energy in Cells: Respiration and Photosynthesis

10.2.1 Word and Symbol Equations for Respiration

10.2.2 Aerobic vs Anaerobic Respiration

10.2.3 Photosynthesis Equation and Factors

10.2.4 Leaf Structure and Adaptations for Photosynthesis

10.2.5 Interdependence of Photosynthesis and Respiration

10.3 Cell Structure and Microscopy

10.3.1 Structure and Function of Animal and Plant Cells

10.3.2 Specialized Cells and Their Adaptations

10.3.3 Differences Between Prokaryotic and Eukaryotic Cells

10.3.4 Using Light Microscopes and Staining Techniques

10.3.5 Calculating Magnification and Image Size

10.4 Cell Division: Mitosis and Meiosis

10.4.1 Cell Cycle and Mitosis

10.4.2 Functions of Mitosis in Growth and Repair

10.4.3 Introduction to Meiosis and Sexual Reproduction

10.4.4 Comparison of Mitosis and Meiosis

10.4.5 Chromosome Behavior and Genetic Continuity

10.5 Diffusion, Osmosis, and Active Transport

10.5.1 Definition and Examples of Diffusion

10.5.2 Factors Affecting Rate of Diffusion

10.5.3 Osmosis in Cells and Living Systems

10.5.4 Active Transport and Energy Requirement

10.5.5 Importance of Transport in Organisms

11. Chemical Reactions and Bonding

11.1 Types of Reactions

11.1.1 Combination and Decomposition Reactions

11.1.2 Single and Double Displacement Reactions

11.1.3 Combustion Reactions (Complete and Incomplete)

11.1.4 Precipitation and Gas Formation Reactions

11.1.5 Observing Chemical Change: Color, Gas, Temperature, Precipitate

11.2 Reactivity Series and Reaction Predictions

11.2.1 Reactivity of Metals with Water, Acid, and Oxygen

11.2.2 The Reactivity Series of Metals

11.2.3 Displacement Reactions Using Metals

11.2.4 Predicting Products Based on Reactivity

11.2.5 Applications of Reactivity in Industry and Everyday Life

11.3 Ionic, Covalent, and Metallic Bonding

11.3.1 Ions and Formation of Ionic Bonds

11.3.2 Properties of Ionic Compounds

11.3.3 Formation and Diagrams of Covalent Bonds

11.3.4 Properties of Covalent Compounds

11.3.5 Structure and Properties of Metallic Bonds

11.4 Chemical Formulas and Equations

11.4.1 Writing Chemical Formulas of Compounds

11.4.2 Word Equations and Symbol Equations

11.4.3 State Symbols in Chemical Reactions

11.4.4 Identifying Reactants and Products

11.4.5 Introduction to Moles and Formula Mass (Optional Extension)

11.5 Balancing Equations and Conservation of Mass

11.5.1 Law of Conservation of Mass

11.5.2 Balancing Simple Chemical Equations

11.5.3 Balancing Complex Reactions with Polyatomic Ions

11.5.4 Mass Changes in Closed and Open Systems

11.5.5 Predicting Products Using Balanced Equations

12. Waves, Sound, and Light

12.1 Electromagnetic Spectrum and Its Uses

12.1.1 Order and Properties of EM Waves

12.1.2 Visible Light and Color Dispersion

12.1.3 Uses of EM Waves: Radio, Microwaves, Infrared, Ultraviolet, X-rays, Gamma Rays

12.1.4 Dangers and Precautions of EM Radiation

12.1.5 Comparing EM Waves: Speed, Wavelength, Frequency

12.2 Light in Communication and Technology

12.2.1 Fiber Optics and Total Internal Reflection

12.2.2 Lasers and Optical Devices

12.2.3 Wave Transmission in Phones and Satellites

12.2.4 Digital vs Analog Signals (Introductory)

12.2.5 Applications of Light and Sound in Modern Tech

12.3 Wave Properties and Types

12.3.1 Definition and Examples of Waves

12.3.2 Transverse vs Longitudinal Waves

12.3.3 Wave Parameters: Wavelength, Frequency, Amplitude

12.3.4 Speed of a Wave: v = fλ

12.3.5 Identifying Crest, Trough, Compression, and Rarefaction

12.4 Sound Waves and Their Behavior

12.4.1 Production and Transmission of Sound

12.4.2 Speed of Sound in Solids, Liquids, and Gases

12.4.3 Echoes, Reflections, and Absorption of Sound

12.4.4 Pitch, Loudness, and Frequency Relationship

12.4.5 Applications: Sonar, Ultrasound, and Musical Instruments

12.5 Reflection and Refraction of Light

12.5.1 Laws of Reflection

12.5.2 Plane, Concave, and Convex Mirrors

12.5.3 Refraction Through Glass Blocks and Water

12.5.4 Lenses: Converging and Diverging (Introductory)

12.5.5 Ray Diagrams and Image Formation Basics

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Probability and Ratios of Offspring

Introduction