EPIC! Precalculus | Entire Course in a Year for Those Wanting to Really Get It!

This class cover a full High School Pre-Calculus curriculum. The summer portion covers a summer preload to prep the student for the school year. Topics include:  Algebraic graphing and operations: linear, quadratic, polynomial, rational, radical, piecewise, absolute value exponential and logarithm functions. Trigonometry: unit circle, graphing and transformations of sine, cosine, tangent, secant, cosecant, and cotangent functions, law of sines and law of cosines, trig identities, matrices, conics, hyperbolas, circles, parabolas, and ellipses. One 50-minute session each week will strengthen your learner's Pre-Calculus skills as we walk through the entire course with teach to mastery. 

The Monday Night and Tuesday Morning Sections are both on 2nd Semester and are working on Trigonometry

The Thursday noon Eastern time section will begin at the start of precalculus in March of 2024.

All sections that start in June will start from the beginning of the course which also makes a great summer preload for students taking the course in school in the fall.

 
Precalculus is absolutely fascinating and that's why I call this class, "This is Epic!"  Have your learner not just survive precal, but actually be inspired by it's beauty!

June - August
Each week will cover 2-3 topics from this list with drilling and discussion each lesson. The goal in the summer is to have key words and concepts integrated into the big picture and well understood at a foundational level so that major constructs in  course of study in the school year are preloaded and the student will gain a strong appreciation for pre-calculus

Radicals and squares
laws of exponents
quadratic forms
Triples and special triangles
30 deg 45 deg 60 deg special triangles with rad 1 
zero solves
factoring 
Complex #’s
Rationalizing
Radian degree conversions
Angles and Ref Angles on the unit circle
SOH CAH TOA
Inverse Trig Functions
Transformations
Systems of Equations
Range Domain Functions
Piecewise Functions
Rational Equations
Solving problems with Absolute Value
Partial Fraction Decomposition
Law of Sines
Law of Cosines
Conics
Matrices


Late August / September:  
Level 1:   Algebra Review
Week 1- Inequalities, Absolute Value, and Exponents
Week 2-Exponents and Notations
Week 3 - Rational Expression Operations & Complex #’s


October:  
Level 2: Equations and Inequalities Review
Week 1: Linear Equations
Week 2: Quadratics
Week 3: Radical Equations and Variations


November: 
Quadratic Inequalities, 
Rational, Radical, 
Absolute Value Inequalities



December: 
Week 1: Graphing
Week 2: Functions
Week 3: Quadratic Graphs and Composite Functions


December
Level 5: Log and Exponential Functions
Week 1: Inverse Functions & Exponentials
Week 2: Log Properties
Week 3: Log Functions


February:
Level 6:  Basic Trigonometry
Week 1: Angles, Radians, and Trig
Week 2: Trig Functions on the Unit Circle


March: 
Level 7: Trig Identities
Week 1: Basic Trig Identities
Week 2: Sum and Difference Identities
Week 3:  Double Angle and other Advanced Identities


April: 
Level 8: Applications of Trig
Week 1: Laws of Sines and Cosines
Week 2: Vectors
Week 3: Complex Numbers and Polar Coordinates

May: 
Level 9: Systems of Equations and Matrices
Week 1: Linear Systems
Week 2: Nonlinear systems & Matrices
Week 4: Gauss-Jordan Method, Determinants, Cramer’s 
Week 5: Linear Inequalities & Linear Programming


May and June: 
Level 10: Special Topics
Week 1: Conics: Parabolas and Ellipses
Week 2: Conics: Hyperbolas and Selecting Conics
Week 4: Binomial Theorem & Sequences
Week 5: Induction & Probability