EPIC! | Pre-Calculus | Entire Course | 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. Beginning in September the full set of course modules are taught through May with Assessments. 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.
What's included
1 live meeting
45 mins in-class hours per weekAssessment
The learner's progress is assessed by how well the learner participates in the interactions during class.Class Experience
US Grade 9 - 12
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
Learning Goals
At the end of this course, your student will be able to say, "I know Pre-Calculus! I can do vectors, matrices, trigonometry, the unit circle, conicals and probability!”
Other Details
Parental Guidance
Parents should make sure their learners are ready by making sure they know linear Algebra, Analytic Geometry (especially basic trigonometry) , and quadratic equations.
Supply List
As the teacher, I will supply the information needed for class. I will be using Kahn Academy's resources on Algebra and point the learners to specific videos and practice problems on that page. As a teacher who has done this many times before, I can tell you that using a web resource in place of a textbook far-better prepares a student for his/her future academic and professional career. In college and the real world, nowadays, information is readily available if someone knows how to access it. All of the same information that is in textbooks are now available on credible free websites. Students should also have a pencil, and graph paper. A T!-84 or higher level calculator is encouraged and needed for some of the work in this class.
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Teacher expertise and credentials
3 Teaching Certificates
South Carolina Teaching Certificate
South Carolina Teaching Certificate in Science
South Carolina Teaching Certificate in Mathematics
2 Degrees
Master's Degree from Case Western Reserve University
Bachelor's Degree in Science from University of Virginia
I've been certified in the public schools for teaching math in middle and high schools. I received additional certified training for gifted and talented learners. I taught math for sixteen years and I've been a personal SAT tutor for seven years. My students have typically raised their scores between 100 and 300 points. As a chemical engineer and project management professional in the world of business consulting and information technology consulting, I've completed over five levels of college calculus and applied mathematics and used these math and computing skills throughout my career.
The students I have taught had varying learning abilities that ranged from one with pronounced learning disabilities to gifted and talented. When it came to PSAT's and SAT's, each of them with impressive improvements in their scores.
It can be done! I used a focused approach. We honed in on trouble areas, really understood the underlying math concept, and drilled for mastery.
Rest assured, students finish my classes and turn to their parents and say, "I finally get it!" Here are some reviews from classes here on Outschool to show what I mean...
From CT -
Love this teacher! My kids are requesting more of her classes. Thank you teacher Kitty!
Energetic and patient teacher. I accidentally signed up my younger son with his older brother and she made the class interesting for both of them and they asked to join another class of teacher Kitty. Thank you !
From William-
Wonderful class. The class speed was just right, and our daughter was able to follow along relatively well. She benefited greatly from this opportunity to reinforce her understanding the solving quadratic equations. Thanks!!!
From Dillon-
This the second linear equation class my son took from Teacher Kitty. My son felt he learned a lot on this subject and took very useful notes, and gained a lot more confidence than when he just started learning it.
From Mary -
I am really pleased that our first lesson at Outschool was such a fantastic one. Kitty is really good and my son loved that he could understand her clearly (initially worried as he is not American or in America ) I observed that she really took her time to explain terminologies and she gave the class more time to really grasp the lesson. My shy son eventually came out of his shell and contributed to the class. We are looking forward to more classes with her.
Reviews
Live Group Class
$39
weekly1x per week
45 min
Completed by 75 learners
Live video meetings
Ages: 14-18
3-16 learners per class