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  • Welcome to the CP Subject Centre
  • Faria Education Group
  • Core
    • Service Learning
    • Language Development
    • Reflective Project
    • Personal and Professional Skills
  • Career-related Study
  • Studies in language and literature
    • Language and Literature
      • Aims & Objectives
      • Syllabus
        • Area of Exploration - Readers, Writers and Texts
        • Area of Exploration - Time and Space
        • Area of Exploration - Intertextuality: Connecting Texts
        • Development of Linguistic Skills
        • Conceptual Understanding
        • Non-Literary Texts
      • Assessment
    • Literature
      • Aims and Objectives
      • Syllabus
        • Areas of Exploration
        • Development of Linguistic Skills
        • Conceptual Understanding
      • Assessment
    • Classical Languages (Last Assessment 2023)
      • Aims & Objectives
      • Syllabus
        • Part 1: Study of Language
        • Part 2: Study of Literature
        • Part 3: Individual study
      • Assessment
    • Classical Languages (First Assessment 2024)
    • Literature and Performance (First Assessment 2024)
  • Language acquisition
    • Language Ab Initio
      • Aims & Objectives
      • Syllabus
        • Identities
        • Experiences
        • Human Ingenuity
        • Social Organization
        • Sharing the Planet
        • Texts
      • Assessment
    • Language B
      • Aims & Objectives
      • Syllabus
        • Identities
        • Experiences
        • Human Ingenuitiy
        • Social Organization
        • Sharing the Planet
        • Texts
      • Assessment
  • Individuals and societies
    • Business Management (Last Assessment 2023)
      • Aims & Objectives
      • Syllabus
        • Unit 1: Business Organization and Environment
        • Unit 2: Human Resource Management
        • Unit 3: Finance and Accounts
        • Unit 4: Marketing
        • Unit 5: Operations Management
      • Assessment
    • Business Management (First Assessment 2024)
    • Digital Society
    • Economics
      • Aims & Objectives
      • Syllabus
        • Unit 1: Introduction to Economics
        • Unit 2: Microeconomics
          • Real-world issue 1
          • Real-world issue 2
        • Unit 3: Macroeconomics
          • Real-world issue 1
          • Real-world issue 2
        • Unit 4: The Global Economy
          • Real-world issue 1
          • Real-world issue 2
      • Assessment
    • Geography
      • Aims & Objectives
      • Syllabus
        • Part one: Geographic themes (SL and HL options)
          • Option A: Freshwater
          • Option B: Oceans and coastal margins
          • Option C: Extreme environments
          • Option D: Geophysical hazards
          • Option E: Leisure, tourism and sport
          • Option F: Food and health
          • Option G: Urban environments
        • Part two: Geographic perspectives - global change (SL and HL core)
          • Unit 1: Changing population
          • Unit 2: Global climate - vulnerability and resilience
          • Unit 3: Global resource consumption and security
        • Part two: Geographic perspectives - global change (HL core extension)
          • Unit 4: Power, places and networks
          • Unit 5: Human development and diversity
          • Unit 6: Global risks and resilience
      • Assessment
    • Global Politics
      • Aims & Objectives
      • Syllabus
        • Engagement Activity
        • Core
        • Additional Higher Level
      • Assessment
    • History
      • Aims & Objectives
      • Syllabus
        • Prescribed Subjects
        • World History Topics
        • HL Options: Depth Studies - History of Africa and the Middle East
        • HL Options: Depth Studies - History of the Americas
        • HL Options: Depth Studies - History of Asia and Oceania
        • HL Options: Depth Studies - History of Europe
      • Assessment
    • Information Technology in a Global Society
      • Aims & Objectives
      • Syllabus
        • Strand 1: Social and Ethical Significance
        • Strand 2: Application to Specific Scenarios
        • Strand 3: IT Systems
        • The Project (practical application of IT skills)
      • Assessment
    • Philosophy
      • Aims & Objectives
      • Syllabus
        • Prescribed Texts
        • Core
        • Additional Higher Level
        • Options
      • Assessment
    • Psychology
      • Aims & Objectives
      • Syllabus
        • Core
          • Biological approach to understanding behaviour
          • Cognitive approach to understanding behaviour
          • Sociocultural approach to understanding behaviour
          • Approaches to researching behaviour
        • Options
          • Abnormal psychology
          • Developmental psychology
          • Health psychology
          • Psychology of human relationships
      • Assessment
    • Social and Cultural Anthropology
      • Aims & Objectives
      • Syllabus
        • Part 1: Engaging with Anthropology
          • The language of anthropology
          • The practice of anthropology
          • Anthropological thinking
        • Part 2: Engaging with Ethnography
          • Group 1
          • Group 2
          • Group 3
        • Part 3: Engaging with Anthropological Practice
      • Assessment
    • World Religions
      • Aims & Objectives
      • Syllabus
        • Part 1: Introduction to World Religions
        • Part 2: In-depth Studies
        • Part 3: Internal Assessment
      • Assessment
  • Sciences
    • Biology (FA 2025)
    • Biology (LA 2024)
      • Aims & Objectives
      • Syllabus
        • Core
          • 1. Cell biology
          • 2. Molecular biology
          • 3. Genetics
          • 4. Ecology
          • 5. Evolution and biodiversity
          • 6. Human physiology
        • Additional Higher Level
          • 7. Nucleic acids
          • 8. Metabolism, cell respiration and photosynthesis
          • 9. Plant biology
          • 10. Genetics and evolution
          • 11. Animal physiology
        • Options
          • Option A: Neurobiology and behaviour
          • Option B: Biotechnology and bioinformatics
          • Option C: Ecology and conservation
          • Option D: Human physiology
      • Assessment
    • Chemistry (FA 2025)
    • Chemistry (LA 2024)
      • Aims & Objectives
      • Syllabus
        • Core
          • 1. Stoichiometric relationships
          • 2. Atomic structure
          • 3. Periodicity
          • 4. Chemical bonding and structure
          • 5. Energetics/thermochemistry
          • 6. Chemical kinetics
          • 7. Equilibrium
          • 8. Acids and bases
          • 9. Redox processes
          • 10. Organic chemistry
          • 11. Measurement and data processing
        • Additional Higher Level
          • 12. Atomic structure
          • 13. The periodic table - the transition metals
          • 14. Chemical bonding and structure
          • 15. Energetics/thermochemistry
          • 16. Chemical kinetics
          • 17. Equilibrium
          • 18. Acids and bases
          • 19. Redox processes
          • 20. Organic chemistry
          • 21. Measurement and analysis
        • Options
          • A. Materials
          • B. Biochemistry
          • C. Energy
          • D. Medicinal chemistry
      • Assessment
    • Computer Science (FA 2025)
    • Computer Science (LA 2024)
      • Aims & Objectives
      • Syllabus
        • Core
          • Topic 1 - System fundamentals
          • Topic 2 - Computer organization
          • Topic 3 - Networks
          • Topic 4 - Computational thinking, problem-solving and programming
        • Additional Higher Level
          • Topic 5 - Abstract data structures
          • Topic 6 - Resource management
          • Topic 7 - Control
        • Options
          • A - Databases
          • B - Modelling and simulation
          • C - Web science
          • D - Object-oriented programming
      • Assessment
    • Design Technology
      • Aims & Objectives
      • Syllabus
        • Core
          • 1. Human factors and ergonomics
          • 2. Resource management and sustainable production
          • 3. Modelling
          • 4. Final production
          • 5. Innovation and design
          • 6. Classic design
        • Additional Higher Level
          • 7. User-centred design (UCD)
          • 8. Sustainability
          • 9. Innovation and markets
          • 10. Commercial production
      • Assessment
    • Nature of Science
      • Aims & Objectives
      • Syllabus
        • Introduction
        • Part A - Concepts
        • Part B - The Quest for Understanding
        • Part C - The Impact of Science
        • Part D - Challenges and the Future
      • Assessment
    • Physics (FA 2025)
    • Physics (LA 2024)
      • Aims & Objectives
      • Syllabus
        • Core
          • 1. Measurements and uncertainties
          • 2. Mechanics
          • 3. Thermal physics
          • 4. Waves
          • 5. Electricity and magnetism
          • 6. Circular motion and gravitation
          • 7. Atomic, nuclear and particle physics
          • 8. Energy production
        • Additional Higher Level
          • 9. Wave phenomena
          • 10. Fields
          • 11. Electromagnetic induction
          • 12. Quantum and nuclear physics
        • Options
          • A. Relativity
          • B. Engineering physics
          • C. Imaging
          • D. Astrophysics
      • Assessment
    • Sports, Exercise and Health Science
      • Aims & Objectives
      • Syllabus
        • Core
          • Topic 1: Anatomy
          • Topic 2: Exercise physiology
          • Topic 3: Energy systems
          • Topic 4: Movement analysis
          • Topic 5: Skill in sports
          • Topic 6: Measurement and evaluation of human performance
        • Additional Higher Level
          • Topic 7: Further anatomy
          • Topic 8: The endocrine system
          • Topic 9: Fatigue
          • Topic 10: Friction and drag
          • Topic 11: Skill acquisition and analysis
          • Topic 12: Genetics and athletic performance
          • Topic 13: Exercise and immunity
        • Options
          • Option A: Optimizing physiological performance
          • Option B: Psychology of sports
          • Option C: Physical activity and health
          • Option D: Nutrition for sports, exercise and health
      • Assessment
  • Mathematics
    • Mathematics: analysis and approaches
      • Aims & Objectives
      • Syllabus
        • Topic 1: Numbers and Algebra
        • Topic 2: Functions
        • Topic 3: Geometry and Trigonometry
        • Topic 4: Statistics and Probability
        • Topic 5: Calculus
      • Assessment
    • Mathematics: applications and interpretation
      • Aims & Objectives
      • Syllabus
        • Topic 1: Number and Algebra
        • Topic 2: Functions
        • Topic 3: Geometry and Trigonometry
        • Topic 4: Statistics and Probability
        • Topic 5: Calculus
      • Assessment
  • The arts
    • Dance
      • Aims & Objectives
      • Syllabus
        • Composition and Analysis
        • World Dance Studies
        • Performance
      • Assessment
    • Film
      • Aims & Objectives
      • Syllabus
        • Reading Film
        • Contextualizing Film
        • Exploring Film Production Roles
        • Collaboratively Producing Film (HL only)
      • Assessment
    • Music
      • Aims & Objectives
      • Syllabus
        • Areas of Inquiry
        • Contexts
        • Musical Processes
        • Musical Roles
        • Exploring Music in Context
        • Experimenting with Music
        • Presenting Music
      • Assessment
    • Theatre (Last Assessment 2023)
      • Aims & Objectives
      • Syllabus
        • Theatre in Context
        • Theatre Processes
        • Presenting Theatre
      • Assessment
    • Theatre (First assessment 2024)
    • Visual Arts
      • Aims & Objectives
      • Syllabus
        • Visual Arts in Context
        • Visual Arts Methods
        • Communicating Visual Arts
        • The Visual Arts Journal
        • Art-making Forms
        • Research
      • Assessment
  • Interdisciplinary courses
    • Literature and Performance
      • Aims and Objectives
      • Syllabus
        • Part 1: Critical Study of Texts
        • Part 2: Exploration of the Chose Approach to the Text
        • Part 3: Realization of Texts in Performance
        • Prescribed Literature in Translation
      • Assessment
    • Environmental Systems & Societies
      • Aims & Objectives
      • Syllabus
        • Topic 1: Foundations of environmental systems and societies
        • Topic 2: Ecosystems and ecology
        • Topic 3: Biodiversity and conservation
        • Topic 4: Water and aquatic food production systems and societies
        • Topic 5: Soil systems and terrestrial food production systems and societies
        • Topic 6: Atmospheric systems and societies
        • Topic 7: Climate change and energy production
        • Topic 8: Human systems and resource use
      • Assessment
  • School-based syllabuses
    • Art History
      • Aims & Objectives
      • Syllabus
        • Topic 1: The Art and Architecture of Ancient Greece
        • Topic 2: Rome - Republic and Empire
        • Topic 3: The Middle Ages
        • Topic 4: Romanesque and Gothic Art and Architecture
        • Topic 5: The Art of the Renaissance
        • Topic 6: The Baroque Age - Art and the Architecture of 17th-century Europe
        • Topic 7: The 'Age of Reason' to 'Romanticism'
        • Topic 8: Experiments in the 19th- and 20th-century Art
      • Assessment
    • Astronomy
      • Aims & Objectives
      • Syllabus
        • Topic 1: The Stars
        • Topic 2: The Planets
        • Topic 3: Galaxies
        • Topic 4: Cosmology
      • Assessment
    • Brazilian Social Studies
      • Aims & Objectives
      • Syllabus
        • Topic 1: The Construction of Brazilian Geographical Space
        • Topic 2: Brazil in the Globalization Era - Core Topic
        • Topic 3: The Demographic and Urban Dynamics of Contemporary Brazil
        • Topic 4: Environment and Society
        • Topic 5: From Discovery to the End of the Colonial Era (1500-1822)
        • Topic 6: The Monarchical Experience (1822-1889)
        • Topic 7: Early Republican Brazil (1889-1945) - Core Topic
        • Topic 8: Contemporary Brazil (1945 - )
      • Assessment
    • Classical Greek and Roman Studies
      • Aims & Objectives
      • Syllabus
        • Part A - Two Topics from the Following Four Options
        • Part B - Two Topics from the Following Four Options
      • Assessment
    • Food Science and Technology
      • Aims & Objectives
      • Syllabus
        • 1. Nutrition
        • 2. Materials, Component and Their Application
        • 3. Food Quality and Safety
        • 4. Food Process Engineering
      • Assessment
    • Marine Science
      • Aims & Objectives
      • Syllabus
        • Core
          • Topic 1 Origin and Structure of Oceans
          • Topic 2 Dynamics of Earth's Crust
          • Topic 3 Patterns of Water Movement
          • Topic 4 Properties of Ocean Water
          • Topic 5 Life in Oceans
        • Options
          • A. Marine ecosystems and conservation
          • B. Atmosphere, ocean and climate
          • C. Geology of ocean basins
      • Assessment
    • Modern History of Kazakhstan
      • Aims & Objectives
      • Syllabus
        • Topic 1. Kazakhstan at the Beginning of the 20th Century
        • Topic 2. Kazakhstan During the Civil Confrontation (1917-1920)
        • Topic 3. The Formation of the Soviet Union and Kazakhstan (1920-1940)
        • Topic 4. The Great Patriotic War and Kazakhstan (1941-1945)
        • Topic 5. Kazakhstan and the Socialism (1946-1985)
        • Topic 6. Kazakhstan: from Perestroika to independence
      • Assessment
    • Political Thought
      • Aims & Objectives
      • Syllabus
        • Topic 1: Political Thinkers
        • Topic 2: Political Concepts
      • Assessment
    • Turkey in the 20th Century
      • Aims & Objectives
      • Syllabus
        • Turkey at the Beginning of the 20th Century
        • Topic 2: The Foundations of the Turkish Republic 1923-1945
        • Topic 3: The Global Changes Between the World Wars and Their Effect on Turkey 1918-1939
        • Topic 4: Turkey under pressure during World War II
        • Topic 5: Reconstruction, democracy and developments in the region 1945-1985
        • Topic 6: The Effects of Globalization and the Dialogue with Europe 1985-2000
      • Assessment
    • World Arts and Cultures
      • Aims & Objectives
      • Syllabus
        • Part 1: Prescribed Topics
        • Part 2: Intercultural Studies
        • Part 3: Regional Study
      • Assessment
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  • A. Relativity
  • Core
  • A.1 – The beginnings of relativity
  • A.2 – Lorentz transformations
  • A.3 – Spacetime diagrams
  • Additional higher level
  • A.4 – Relativistic mechanics
  • A.5 – General relativity
  1. Sciences
  2. Physics (LA 2024)
  3. Syllabus
  4. Options

A. Relativity

A. Relativity

Core

A.1 – The beginnings of relativity

Nature of science:

  • Paradigm shift: The fundamental fact that the speed of light is constant for all inertial observers has far-reaching consequences about our understanding of space and time. Ideas about space and time that went unchallenged for more than 2,000 years were shown to be false. The extension of the principle of relativity to accelerated frames of reference leads to the revolutionary idea of general relativity that the mass and energy that spacetime contains determine the geometry of spacetime.

Understandings:

  • Reference frames

  • Galilean relativity and Newton’s postulates concerning time and space

  • Maxwell and the constancy of the speed of light

  • Forces on a charge or current

Applications and skills:

  • Using the Galilean transformation equations

  • Determining whether a force on a charge or current is electric or magnetic in a given frame of reference

  • Determining the nature of the fields observed by different observers

A.2 – Lorentz transformations

Nature of science:

  • Pure science: Einstein based his theory of relativity on two postulates and deduced the rest by mathematical analysis. The first postulate integrates all of the laws of physics including the laws of electromagnetism, not only Newton’s laws of mechanics.

Understandings:

  • The two postulates of special relativity

  • Clock synchronization

  • The Lorentz transformations

  • Velocity addition

  • Invariant quantities (spacetime interval, proper time, proper length and rest mass)

  • Time dilation

  • Length contraction

  • The muon decay experiment

Applications and skills:

  • Using the Lorentz transformations to describe how different measurements of space and time by two observers can be converted into the measurements observed in either frame of reference

  • Using the Lorentz transformation equations to determine the position and time coordinates of various events

  • Using the Lorentz transformation equations to show that if two events are simultaneous for one observer but happen at different points in space, then the events are not simultaneous for an observer in a different reference frame

  • Solving problems involving velocity addition

  • Deriving the time dilation and length contraction equations using the Lorentz equations

  • Solving problems involving time dilation and length contraction

  • Solving problems involving the muon decay experiment

A.3 – Spacetime diagrams

Nature of science:

  • Visualization of models: The visualization of the description of events in terms of spacetime diagrams is an enormous advance in understanding the concept of spacetime.

Understandings:

  • Spacetime diagrams

  • Worldlines

  • The twin paradox

Applications and skills:

  • Representing events on a spacetime diagram as points

  • Representing the positions of a moving particle on a spacetime diagram by a curve (the worldline)

  • Representing more than one inertial reference frame on the same spacetime diagram

  • Determining the angle between a worldline for specific speed and the time axis on a spacetime diagram

  • Solving problems on simultaneity and kinematics using spacetime diagrams

  • Representing time dilation and length contraction on spacetime diagrams

  • Describing the twin paradox

  • Resolving of the twin paradox through spacetime diagrams

Additional higher level

A.4 – Relativistic mechanics

Nature of science:

  • Paradigm shift: Einstein realized that the law of conservation of momentum could not be maintained as a law of physics. He therefore deduced that in order for momentum to be conserved under all conditions, the definition of momentum had to change and along with it the definitions of other mechanics quantities such as kinetic energy and total energy of a particle. This was a major paradigm shift.

Understandings:

  • Total energy and rest energy

  • Relativistic momentum

  • Particle acceleration

  • Electric charge as an invariant quantity

  • MeV c –2 as the unit of mass and MeV c –1 as the unit of momentum

Applications and skills:

  • Describing the laws of conservation of momentum and conservation of energy within special relativity

  • Determining the potential difference necessary to accelerate a particle to a given speed or energy

  • Solving problems involving relativistic energy and momentum conservation in collisions and particle decays

A.5 – General relativity

Nature of science:

  • Creative and critical thinking: Einstein’s great achievement, the general theory of relativity, is based on intuition, creative thinking and imagination, namely to connect the geometry of spacetime (through its curvature) to the mass and energy content of spacetime. For years it was thought that nothing could escape a black hole and this is true but only for classical black holes. When quantum theory is taken into account a black hole radiates like a black body. This unexpected result revealed other equally unexpected connections between black holes and thermodynamics.

Understandings:

  • The equivalence principle

  • The bending of light

  • Gravitational redshift and the Pound–Rebka–Snider experiment

  • Schwarzschild black holes

  • Event horizons

  • Time dilation near a black hole

  • Applications of general relativity to the universe as a whole

Applications and skills:

  • Using the equivalence principle to deduce and explain light bending near massive objects

  • Using the equivalence principle to deduce and explain gravitational time dilation

  • Calculating gravitational frequency shifts

  • Describing an experiment in which gravitational redshift is observed and measured

  • Calculating the Schwarzschild radius of a black hole

  • Applying the formula for gravitational time dilation near the event horizon of a black hole

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