(Recorded Course) Saxon Advanced Mathematics (Pre-Calculus), Part Two with Jean Hoeft

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:

  • First, read the course materials below before the first class meeting.

  • Then have a notebook ready and available for class notes each live session.

  • Read assignments before class meetings

  • Watch that week’s recording if you need to revisit information from our live session.

  • Do the assignments, quizzes, and any extra work assigned for that week.

  • 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.

Special notes: This is Part Two of a two-part course. Students are welcome to join us midyear if they meet the prerequisite. Email us if you are unsure.

Mrs. Hoeft provides 14 recorded 20- to 30-minute lectures in addition to the 14 live classes.

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, and 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; Sing 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

Complete lessons 87-90, even problems for each lesson

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. 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 approx. 60 minutes a day on homework (may vary depending on the student’s understanding of new concepts).