This is our catalog of courses. We will occasionally adjust the course listing to reflect the addition of new courses and the retirement of others.
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.
Total classes: 14
Prerequisite: Algebra II and Geometry (available Live or through Unlimited Access)
Suggested grade level: 11th to 12th grade
Suggested credit: One full semester Math
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.
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
Materials and Homework
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).
