Governor's Cup

High School Curriculum

High School Curriculum

For Content Assessment and Quick Recall

Each Quick Recall round contains an equal number of questions from each subject area.  Each Content Assessment exam has balanced proportions from each category.

High School Mathematics

Most questions are computational, but vocabulary and history may also be covered.

  1. Number and Quantity: Real and Complex Numbers, Radicals, Rational Exponents
  2. Number and Quantity: Vectors, Polar Coordinates, Matrices, Fractals
  3. Number and Quantity: Set Theory, Base Changes, Sequences and Series, Binomial Theorem
  4. Algebra: Equations and Inequalities (including Linear, Absolute Value, Quadratic, Exponential, Logarithmic, Radical, Rational, and Trigonometric), Systems of Linear and Non-Linear Equations and Inequalities
  5. Algebra: Variations, Polynomials, Rational Expressions
  6. Functions: Functions and Their Graphs (including Linear, Absolute Value, Quadratic, Exponential, Logarithmic, Radical, Rational, and Trigonometric), Inverses, Compositions of Functions
  7. Functions: Exponential and Logarithmic Functions, including their properties and applications
  8. Functions: Radian Measure, Unit Circle, Trigonometric Identities
  9. Functions: Polynomial Functions (including End Behavior, Zeros, Rational Root Theorem, Remainder Theorem, Descartes Rule of Signs, Fundamental Theorem of Algebra) and Rational Functions
  10. Geometry: Congruence and Similarity, including Transformations in the Plane and Similarity in Transformations
  11. Geometry: Triangles Including Pythagorean Theorem, Special Right Triangles, Right Triangle Trigonometry, Law of Sines, Law of Cosines
  12. Geometry: Quadrilaterals, Polygons, Polyhedrons
  13. Geometry: Perimeter, Area, Surface Area, Volume
  14. Geometry: Circles, including all theorems, Arc Lengths, and Areas of Sectors
  15. Geometry: Coordinate Geometry and Conic Sections
  16. Statistics and Probability: Counting Principles, Probability of Independent and Dependent Events, Conditional Probability, Probability of Compound Events, 2-way frequency tables
  17. Statistics and Probability: Random Variables, Probability Distributions (including Uniform, Binomial, Geometric, and Normal), Expected Value
  18. Statistics and Probability: Use Statistics to interpret Data, including Measures of Central Tendency, Measures of Spread, Regression, Confidence Intervals, and Hypothesis Testing
  19. Calculus: Limits and Derivatives
  20. Calculus: Integrals and Differential Equations

 High School Science

  1. Anatomy and Physiology
  2. Botany: Vascular and Non-Vascular Plants, Photosynthesis, etc.
  3. Zoology: Classification, Organismal Biology, and Animal Behavior
  4. Genetics: Including DNA Replication and Protein Synthesis
  5. Cells: Including Mitosis, Meiosis, Osmosis, Diffusion, Respiration
  6. Protista, Monera, Fungi, Viruses
  7. Ecology, Environmental Issues, Resources and Conservation
  8. Chemistry: Processes, Reactions
  9. Chemistry: Elements, Compounds, Periodic Table
  10. Chemistry: Laws, Gas Laws, Matter, Energy
  11. Chemistry: Acids, Bases, Salts, Solutions
  12. Chemistry: Nuclear, Atomic, Modern
  13. Organic Chemistry and Biochemistry: Reactions, Nomenclature, Compounds, and Techniques
  14. Physics: Mechanics including Newton’s Laws, Kepler’s Laws
  15. Physics: Energy, Work, Thermodynamics
  16. Physics: Vibrations, Waves, Sound
  17. Physics: Electricity and Magnetism
  18. Modern Physics: Quantum Physics, Particle Physics, Relativistic physics
  19. Astronomy, Astronomers, Space Travel
  20. Earth Science
  21. Science History, Famous Scientists, Current Science Events

 High School Social Studies

  1. Government: Types, Characteristics, International Organizations, and International Relations
  2. Government: United States, Roles of Officials, Parties, Personnel, Constitution
  3. Landmark Supreme Court Cases
  4. Sociology, Anthropology, and Psychology
  5. Economics: Principles and Practices; Theories and Theorists
  6. Geography: United States, political and physical
  7. Geography: World, political and physical
  8. World Civilization: Prehistory Up to the Roman Civilization
  9. World Civilization: Roman Civilization Up to the Renaissance
  10. World Civilization: Renaissance and Reformation
  11. World Civilization: Post-Renaissance/Reformation to 1800
  12. World Civilization: 1801-1900
  13. World Civilization: 1901-present
  14. American History: Prehistory and Pre-Columbian History
  15. American History: Discovery and colonization (1492-1774)
  16. American History: New Nation to the Civil War (1775-1860)
  17. American History: Civil War/Reconstruction through World War I (1861-1918)
  18. American History: Post-war, Depression, World War II (1919-1945)
  19. American History: Modern Era (1946-2009)
  20. Current History: Significant People and Events from the Most Recent 10 Years

 High School Language Arts

  1. Early Literature including Indian, Sanskrit, Chinese, Persian and Faith-based Literature
  2. Ancient Greek and Roman Literature to 400 A.D.
  3. Medieval Literature (to 1400) including Arabic Faith-based Literature
  4. Renaissance European and English Literature 1400-1600
  5. British, European and Russian Literature 1600-1800
  6. American Literature before 1800
  7. British, European and Russian Literature 1800-1900
  8. American Literature after 1800
  9. British, European, Canadian, and Russian Literature Since 1900
  10. Latin American, African and Eastern Hemisphere Literature (any era, excluding European and Russian)
  11. Nobel Prize in Literature Winners and Their Works
  12. Drama since 1900: Emphasis on British and American
  13. American Poets and Poetry Since 1900
  14. Pulitzer Prize Winners: Fiction
  15. Short stories 1900-present
  16. Literary Devices and Techniques
  17. Grammar and Mechanics
  18. English word origins with Greek/Latin roots, Common Foreign Words and Phrases

 High School Arts and Humanities

  1. Visual Art: Elements, forms, purposes, terms, concepts
  2. Visual Art: Artists and their works – Emphasis on Degas, Rubens, Hopper, Kahlo, Leonardo, Van Gogh, Rembrandt, Delacroix, Dali, Cole, van Dyck, Renoir, Cezanne, Matisse, Monet, O’Keeffe
  3. Visual Art: Art periods, themes, styles, historical and cultural aspects
  4. Architecture and architectural elements – Emphasis on Middle Eastern and Asian, Ancient Greece and Rome
  5. Architecture: Architects and their works – Emphasis on Bernini, Frank Lloyd Wright, Mies van der Rohe, Santiago Calatrava, Antoni Gaudi, Louis Sullivan, Palladio, I.M. Pei, Gropius
  6. Music: Elements, forms, purposes, terms, concepts, styles
  7. Composers and their works – Emphasis on Berlioz, Bartok, Mahler, Palestrina, Handel, Rachmaninoff, Haydn, Paganini, Purcell, Debussy; Modern American and Contemporary
  8. Music: Movements, time periods, historical and cultural aspects
  9. Musical theatre, opera, operettas
  10. Dance: Elements, forms, purposes, terms, concepts
  11. Dancers and choreographers: famous roles and contributions
  12. Philosophers and philosophy – Emphasis on Aristotle, Lao-Tzu, Spinoza, Schopenhauer, Thomas Aquinas, Kierkegaard, Confucius,  Zoroaster
  13. World religions, religious leaders and religious history
  14. Mythology: Greek, Roman, Norse, Japanese, Eqyptian, and Native American Myths and Characters
  15. Contemporary drama, music and art – 1940 to present
  16. Drama/Theater: Elements, forms, concepts, historical and cultural aspects
  17. Broadway Plays
  18. Film masterpieces and documentaries, famous directors (Award-winning and notable nominees)

Governor’s Cup