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Pre-Calculus Academic Library

First Semester

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  • Pre-calculus Academic Library (1st Semester)

Pre-calculus Online

Pre-calculus is a full-year, high school honors credit course that is intended for the student who has successfully mastered the core algebraic and conceptual geometric concepts covered in the prerequisite courses: Algebra I, Geometry, and Algebra II.

​The course primarily focuses on the skills and methods of analytic geometry and trigonometry while investigating further relationships in functions, probability, number theory, limits, and the introduction of derivatives.

The Math Academic Libraries are not considered as a replacement for the online curriculum, the media presentations, and instruction with daily lessons which must be completed including daily quizzes and unit tests or help from your teacher, but a supplement to the curriculum for additional practice and instruction available 24/7.

Pre-Calculus 2nd Semester
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Pre-Calculus Online First Semester

UNIT 1 – RELATIONS AND FUNCTIONS

  1. Course Overview
  2. Ordered-Pair Numbers: Relations
  3. Ordered-Pair Numbers: Functions
  4. Ordered-Pair Numbers: Rules of Correspondence
  5. Quiz 1: Relations and Functions
  6. Algebra of Functions: Notation
  7. Algebra of Functions: Arithmetic
  8. Algebra of Functions: Composition
  9. Algebra of Functions: Inverse
  10. Quiz 2: Relations and Functions
  11. Test
  12. Alternate Test
  13. Glossary and Credits

UNIT 2 – FUNCTIONS

  1. Linear Functions: Graphs
  2. Linear Functions: Equations
  3. Quiz 1: Linear Functions
  4. 2nd-Degree Functions: Solutions
  5. Relationships Between Zeros and Coefficients
  6. Quadratic Inequalities
  7. Quiz 2: Second-Degree Functions
  8. Polynomial Functions
  9. Nth-Degree Equations
  10. Solving Polynomial Equations
  11. Quiz 3: Polynomial Functions
  12. Complex Numbers
  13. Operations with Complex Numbers
  14. Conjugates and Polynomial Identities
  15. Distant and Midpoint
  16. Quiz 4: Complex Numbers
  17. Rational Inequalities
  18. Greatest Integer Function
  19. Exponential Function
  20. Logarithmic Function
  21. Function Combinations
  22. Quiz 5: Special Functions
  23. Test
  24. Alternate Test
  25. Glossary and Credits

UNIT 3 – TRIGONOMETRIC FUNCTIONS

  1. Definition of the Trigonometric Functions
  2. Quiz 1: Trigonometric Functions
  3. Evaluation of Functions
  4. Quiz 2: Evaluation of Functions
  5. Angle Location
  6. Quiz 3: Angle Location
  7. Reduction Formulas
  8. Quiz 4: Reduction Formulas
  9. Quadrantal Angles
  10. Quiz 5: Quadrantal Angles
  11. Special Angles
  12. Quiz 6: Special Angles
  13. Radian Measure
  14. Quiz 7: Radian Measure
  15. Test
  16. Alternate Test
  17. Glossary and Credits

UNIT 4 – CIRCULAR FUNCTIONS AND THEIR GRAPHS

  1. Circular Functions
  2. Quiz 1: Circular Functions
  3. Circular Functions of Special Angles
  4. Quiz 2: Circular Functions of Special Angles
  5. Graphs of Sin and Cos
  6. Quiz 3: Graphs of Sin and Cos
  7. Other Graphs
  8. Quiz 4: Other Graphs
  9. Applications
  10. Parametric Equations
  11. Quiz 5: Applications
  12. Amplitude of Circular Functions
  13. Quiz 6: Amplitude of Circular Functions
  14. Period of Circular Functions
  15. Quiz 7: Period of Circular Functions
  16. Phase Shift of Circular Functions
  17. Quiz 8: Phase Shift of Circular Functions
  18. Test
  19. Alternate Test

Glossary and Credits

UNIT 5 – IDENTITIES AND FUNCTIONS OF MULTIPLE ANGLES

  1. Reciprocal Relations
  2. Quiz 1: Reciprocal Relations
  3. Pythagorean Relations
  4. Quiz 2: Pythagorean Relations
  5. Quotient Relations
  6. Quiz 3: Quotient Relations
  7. Trigonometric Identities
  8. Quiz 4: Trigonometric Identities
  9. Cosine of the Sum of Two Angles
  10. Quiz 5: Cosine of the Sum of Two Angles
  11. Additional Sum and Difference Formulas
  12. Quiz 6: Additional Sum and Difference Formulas
  13. Double- and Half-Angle Formulas
  14. Quiz 7: Double- and Half-Angle Formulas
  15. Identities
  16. Quiz 8: Identities
  17. Trigonometric Equations
  18. Quiz 9: Trigonometric Equations
  19. Test
  20. Alternate Test
  21. Glossary and Credits

UNIT 6 – SEMESTER REVIEW AND EXAM

  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B