Are you entering science, technology, engineering, mathematics, or business in college? Then this Pre-Calculus will prepare you with algebraic and trigonometric concepts -- including linear and nonlinear functions, complex numbers, polar coordinates, and more. Part 2 of 2, for Pre-College Students.
How to get the most out of Saxon Advanced Mathematics: Pre-Calculus, Part Two with Jean Hoeft:
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First, read the course materials below before the first class meeting.
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Then have a notebook ready and available for class notes each live session.
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Read assignments before class meetings
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Watch that week’s recording if you need to revisit information from our live session.
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Do the assignments, quizzes, and any extra work assigned for that week.
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Once the course is completed to the parent's and professor’s satisfaction, there is a Certificate of Completion at the end to be filled in for your records.
Total Classes: 14
Duration: 55 minutes
Prerequisite: Algebra II and Geometry (available Live or through Unlimited Access)
Suggested Grade Level: 11th to 12th grade
Suggested Credit: One full semester Math
Instructor: Jean Hoeft, MA
Instructor Email: Jean.Hoeft.forjesus@gmail.com
Course Description: We will explore all the algebraic and trigonometric concepts; this includes both linear and nonlinear plus functions, complex numbers, concepts involving trigonometry, and polar coordinates. This course will fulfill requirements for Pre-calculus and ready students for High School and college advanced topics math including Calculus.
Course Outline:
- Week 1: Lessons 55-58
- Topics to include: Circular Permutations; Triangular Areas; Phase Shifts in Sinusoids; Distance from a point to a line
- Week 2: Lesson 59-62
- Topics to include: Advanced Logarithm Problems; Factorable Trigonometric Equations; Single Variable Analysis; Abstract Coefficients
- Week 3: Lessons 63-66
- Topics to include: Circles and Completing the Square; The Complex Plane; Radicals in Trigonometric Equations; Formulas for Systems of Equations
- Week 4: Lessons 67-70
- Topics to include: Antilogarithms; Locus Definition of a Parabola; Matrices; Percentiles and z Scores
- Week 5: Lessons 71-74
- Week 6: Lessons 75-78
- Topics to include: Combinations; Functions of (-x); Binomial Expansion; The Hyperbola
- Week 7: Lessons 79-82
- Topics to include: De Moivre's Theorem; Trigonometric Identities; Law of Cosines; Taking the Logarithm of something
- Week 8: Lessons 83-86
- Topics to include: Simple Probability; Factorable Expressions; Advanced Trig Equations; Arithmetic Progressions and Means
- Week 9: Lessons 87-90
- Topics to include: Sum and Difference Identities; Exponential Functions; The Ellipse; Double-Angle Identities
- Week 10: Lessons 91-94
- Topics to include: Geometric Progressions; Probability of Either; Advanced Trig Identities; Graphs of Secant and Cosecant
- Week 11: Lessons 95-98
- Topics to include: Advanced Complex Roots; More Double-Angle Identities; The Ambiguous Case; Change of Base
- Week 12: Lessons 99-102
- Topics to include: Sequence Notation; Product Identities; Zero Determinants; Binomial Expansions
- Week 13: Lessons 103-106
- Topics to include: Logarithms; Cofactors; Translations of Conic Sections
- Week 14: Review and Final Exam
Course Materials: Saxon Advanced Mathematics and Incremental Development, Edition 2, with the test and homeschool pack (www.setonbooks.com/saxon.php), a scientific calculator (TI 30X or the like), graph paper, ruler, protractor, compass, and pencil. Graphing calculators are useful, but not necessary. The instructor will provide a free weekly lecture in addition to the live, interactive classes.
Homework: 4-5 assignments per week with 15-20 problems to work per lesson. Expect to spend approximately 60 minutes a day on homework (may vary depending on the student’s understanding of new concepts).
- Teacher: Jean Hoeft