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

Julianne Mattson
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Learn the first half of Pre-Calculus in my 11-week self-paced course!

Class experience

US Grade 10 - 12
11 lessons//11 Weeks
 Week 1
Lesson 1
Chapter 1: Graphs
1-1: The Distance and Midpoint Formulas 1-2: Graphs of Equations in Two Variables 1-3: Lines 1-4: Circles
 Week 2
Lesson 2
Chapter 2: Functions and their Graphs
2-1: 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 Functions
 Week 3
Lesson 3
Chapter 3: Linear and Quadratic Functions
3-1: 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 Functions
 Week 4
Lesson 4
Chapter 4 Part 1: Polynomial and Rational Functions
4-1: Polynomial Functions and Models 4-2: Properties of Rational Functions 4-3: The Graph of a Rational Function
 Week 5
Lesson 5
Chapter 4 Part 2: Polynomial and Rational Functions
4-4: Polynomial and Rational Inequalities 4-5: The Real Zeroes of a Polynomial Function 4-6: Complex Zeroes: Fundamental Theorem of Algebra
 Week 6
Lesson 6
Chapter 5 Part 1: Exponential and Logarithmic Functions
5-1: Composite Functions 5-2: One-to-One Functions; Inverse Functions 5-3: Exponential Functions 5-4: Logarithmic Functions
 Week 7
Lesson 7
Chapter 5 Part 2: Exponential and Logarithmic Functions
5-5: 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 Data
 Week 8
Lesson 8
Chapter 6 Part 1: Trigonometric Functions
6-1: Angles and Their Measures 6-2: Trigonometric Functions: Unit Circle Approach 6-3: Properties of Trigonometric Functions
 Week 9
Lesson 9
Chapter 6 Part 2: Trigonometric Functions
6-4: Graphs of the Sine and Cosine Functions 6-5: Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions 6-6: Phase Shift; Sinusoidal Curve Fitting
 Week 10
Lesson 10
Chapter 7 Part 1: Analytic Trigonometry
7-1: The Inverse Sine, Cosine, and Tangent Functions 7-2: The Inverse Trigonometric Functions 7-3: Trigonometric Equations 7-4: Trigonometric Identities
 Week 11
Lesson 11
Chapter 7 Part 2: Analytic Trigonometry
7-5: 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 enrollment
A 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:
Joined August, 2018
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


weekly or $200 for all content
11 pre-recorded lessons
11 weeks of teacher support
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1 year of access to the content

Completed by 20 learners
Ages: 15-18

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