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### Pre-Calculus Session 1 of 2: Chapters 1-7 (Self-Paced)

#### Class experience

###### US Grade 10 - 12

This is a self-paced class, which means there are no scheduled live meetings. I will upload videos as YouTube links every week to the Outschool classroom page that students will watch on their own time throughout the week. We will cover just over one chapter of material every two weeks. Students will watch the video lessons and complete homework assignments for each chapter. Answer keys and worked solutions will be provided so students can self-check their homework. Chapter tests will be...

11 lessons//11 Weeks

Week 1Lesson 1Chapter 1: Graphs1-1: The Distance and Midpoint Formulas 1-2: Graphs of Equations in Two Variables 1-3: Lines 1-4: CirclesWeek 2Lesson 2Chapter 2: Functions and their Graphs2-1: Functions 2-2: The Graph of a Function 2-3: Properties of Functions 2-4: Libraries of Functions; Piecewise-defined Functions 2-5: Graphing Techniques: Transformations 2-6: Mathematical Models: Building FunctionsWeek 3Lesson 3Chapter 3: Linear and Quadratic Functions3-1: Linear Functions and Their Properties 3-2: Linear Models: Building Linear Functions 3-3: Quadratic Functions and Their Properties 3-4: Build Quadratic Models from Verbal Descriptions 3-5: Inequalities Involving Quadratic FunctionsWeek 4Lesson 4Chapter 4 Part 1: Polynomial and Rational Functions4-1: Polynomial Functions and Models 4-2: Properties of Rational Functions 4-3: The Graph of a Rational FunctionWeek 5Lesson 5Chapter 4 Part 2: Polynomial and Rational Functions4-4: Polynomial and Rational Inequalities 4-5: The Real Zeroes of a Polynomial Function 4-6: Complex Zeroes: Fundamental Theorem of AlgebraWeek 6Lesson 6Chapter 5 Part 1: Exponential and Logarithmic Functions5-1: Composite Functions 5-2: One-to-One Functions; Inverse Functions 5-3: Exponential Functions 5-4: Logarithmic FunctionsWeek 7Lesson 7Chapter 5 Part 2: Exponential and Logarithmic Functions5-5: Properties of Logarithms 5-6: Logarithmic and Exponential Equations 5-7: Financial Models 5-8: Exponential Growth and Decay Models 5-9: Building Exponential, Logarithmic and Logistic Models from DataWeek 8Lesson 8Chapter 6 Part 1: Trigonometric Functions6-1: Angles and Their Measures 6-2: Trigonometric Functions: Unit Circle Approach 6-3: Properties of Trigonometric FunctionsWeek 9Lesson 9Chapter 6 Part 2: Trigonometric Functions6-4: Graphs of the Sine and Cosine Functions 6-5: Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions 6-6: Phase Shift; Sinusoidal Curve FittingWeek 10Lesson 10Chapter 7 Part 1: Analytic Trigonometry7-1: The Inverse Sine, Cosine, and Tangent Functions 7-2: The Inverse Trigonometric Functions 7-3: Trigonometric Equations 7-4: Trigonometric IdentitiesWeek 11Lesson 11Chapter 7 Part 2: Analytic Trigonometry7-5: Sum and Difference Formulas 7-6: Double-angle and Half-angle Formulas 7-7: Product-to-Sum and Sum-to-Product Formulas

Throughout engineering school, I had to take a lot of challenging courses that required a deep understanding of math skills and concepts from basic arithmetic to calculus, and beyond! I valued the teachers I had in high school who forced me to truly understand these concepts by teaching them in ways that actually made sense. I completely credit them with my passion for math and my desire to help students understand it in the way that I do now. I have been teaching high school math courses for 5 years , and I don't plan to stop any time soon :-)

## Homework Offered

The homework will be assigned straight from the textbook at the end of each lesson that is covered during the week. It is self-graded, so it is optional. It is just there as a way for students to prepare for the chapter tests.## 4+ hours per week outside of class

## Assessments Offered

There is a test given as a take-home assignment at the end of each chapter. The tests all need to be completed by the end of the course (there aren't specific due dates for each test). Students will scan in their completed tests and send them to me for grading.## Grades Offered

When a student completes a test, I will grade it and send back a number grade (0-100%), a letter grade, and full explanations for incorrect answers. At the end of the course, I will send them a summary of their grades and their final letter grade. Upon request, I will send a letter of course completion.

1 file available upon enrollmentA Pre-Calculus pdf, homework problems, answer keys, and chapter tests will be provided. Students will need a graphing calculator, or an app on their phone that has the same graphing and trigonometry capabilities as a graphing calculator. Desmos.com or the Desmos app also provide the graphing and calculator capabilities you will need, and they're free to use! Message me if you need help choosing an app :-)

In addition to the Outschool classroom, this class uses:

Hi! I'm Julianne. I'm a private teacher/tutor for K-12 homeschooled students in math, science, ACT/SAT prep, and anything else STEM-related. I graduated from Vanderbilt University with a degree in Chemical and Biomolecular Engineering, and after a...

###### Self-Paced Class

#### $19

weekly or $200 for all content11 pre-recorded lessons

11 weeks of teacher support

Choose your start date

1 year of access to the content

Completed by 20 learners

Ages: 15-18