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Pre-Calculus Session 1 of 2: Chapters 1-7 (Self-Paced)
Completed by 21 learners
Ages 15-18
Self-Paced Course
Average rating:
4.9
Number of reviews:(29 reviews)
11 pre-recorded lessons
11 weeks of teacher support
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1 year of access to the content
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Go at your own pace
Your learner can start learning when they want and progress at the speed that works best for them.Start when you want.
Learn at your own pace
Access course material for a full year.
Get hands-on support from teacher.
What’s included
11 pre-recorded lessons
11 weeks
of teacher support1 year access
to the contentHomework
4+ hours per week. 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.Assessment
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.Grading
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.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 assigned for each chapter that I will grade (with feedback!) and return to the students. Students can message me with questions at any time, and I will answer with a step-by-step video explanation. I try my best to provide same-day responses to questions, and if I receive a message at night, I normally respond early the next morning so students will have their questions answered by the time they start working on the class that day. I will be running the class through the Outschool classroom page, but students will need access to YouTube to be able to click the video links and watch the lessons. The pre-requisites for this course are the completion of pre-algebra, algebra 1, geometry, and algebra 2 with trigonometry. Here are the topics we will cover in the class: Graphs, Functions and Their Graphs, Linear and Quadratic Functions, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions, Analytic Trigonometry The second semester of the course (chapters 8-14) will be covered in my "Pre-Calculus Session 2 of 2: Chapters 8-14 (Self-Paced)" class. Thank you so much for considering my class! I hope to see you in the classroom!
Learning Goals
Understand/analyze different types of functions and their graphs, including linear, quadratic, polynomial, rational, exponential, and logarithmic functions. Identify key features such as intercepts, asymptotes, and increasing/decreasing intervals.Gain a deep understanding of linear and quadratic functions, including their properties, transformations, and applications. Solve linear and quadratic equations and inequalities, and apply these concepts to real-world problems.Syllabus
11 Lessons
over 11 WeeksLesson 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 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 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 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 Other Details
Supply List
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 :-)
1 file available upon enrollment
External Resources
In addition to the Outschool classroom, this class uses:
Meet the teacher
Joined August, 2018
4.9
29reviews
Teacher expertise and credentials
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 :-) Reviews
Julianne Mattson suggests this class next...
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