Pre-Calculus Topics
This class provides an overview of the Major Topics of Pre-Calculus. Topics Include: Function Analysis, Polynomials & Rationals, Exponentials & Logarithms, Trigonometry, Polar & Vectors, Conic Sections, Matrices, & Discrete Mathematics.
Shellee Harris, BS Math
Average rating:
5.0
Number of reviews:(4)
What's included
34 live meetings
25 hrs 30 mins in-class hoursHomework
2-4 hours per week. Students will have links to Notes, Homework, Keys, etc. Students should plan on printing these out and have them placed in a 3-ring binder for use. In order to be successful it is recommended to spend some time outside of class time practicing the skill sets, especially if they are unfamiliar.Assessment
Online quizzes/assessments will be available so students can check their progress. If all ASSESSMENTS are completed, a letter grade will be issued.Certificate of Completion
Students who have attended 80% of the entire class will receive a certificate of completion.Class Experience
US Grade 10 - 12
Beginner - Intermediate Level
Pre-Calculus is ALL about levelling up your: Critical Thinking, Mathematical Analysis, and Conceptual Understanding. Reinforce the knowledge that you need to be successful in future whether that is Calculus, Engineering, Physics, or other math heavy subjects. This is a class that will meet twice a week and will cover the major Pre-Calculus Topics. This class is conducted using a general format of topic introduction, examples, and student practice. We will also use other online resources as well, to practice and explore the conceptual understanding of the material. This class is recommended for those who: 1) Want to get an Overview of the important PreCalculus concepts. 2) Want to review the knowledge learned in PreCalculus 3) Want to learn PreCalculus from scratch! Students must have completed Algebra 2 in order to be successful. • Class Notes will be provided in PDF form. These should be printed off and organized. A 3-ring binder is recommended. • A variety of resources will be provided to practice the skillsets. Students should choose the mix of activities that is the most successful for them. Resources will include: - Homework and Solution Keys in PDF format. - An online classroom will be available with links to online Quizzes/Assessments. - Desmos Activities and Desmos Graphing will also be used to practice concepts. - Links to online practice sets (flashcards, multiple choice, escape rooms, etc.) as an alternative way to practice the skillsets and help to gain proficiency. Classes will meet twice per week. There will be no class scheduled on the following days: Wed, January 28 Fri, February 28 Sat & Sun, March 1-2 Sun, April 20 (Easter Sunday) Sat-Sun, May 24-25 (Memorial Day Weekend)
Learning Goals
Be able to: Analyze & Graph Functions, including: Piecewise, Polynomial, Rational, Exponential, Logarithmic & Trigonometric.Be able to apply math formulas & knowledge to Problem-solving & Analysis for Real World scenarios.
Syllabus
Curriculum
Follows Teacher-Created CurriculumStandards
Aligned with Common Core State Standards (CCSS)8 Units
34 Lessons
over 17 WeeksUnit 1: Functions & Graphs
Lesson 1:
Function Notation & Graph Analysis
Define Function Notation, and why we use it. Perform Graph Analysis and find Domain, Range, Increasing/Decreasing Intervals, Positive/Negative Intervals & Concavity. 45 mins online live lesson
3 assignments
Lesson 2:
Graph Transformations
Review of Parent Functions. Then performing Graph Transformations using y = a f(b(x - h)) + k or y = a f(bx - h) + k 45 mins online live lesson
Lesson 3:
Function Operations
Function Operations & Function Composition from Equations & Graphs. 45 mins online live lesson
Lesson 4:
Inverse Functions
Find Inverse Functions and use their Properties. 45 mins online live lesson
Other Details
Pre-Requisites
Students need to have completed Algebra I (or equivalent).
Supply List
Students will need paper (graph paper preferred), pencil and a graphing calculator. I will be using a TI-84 ($100) in class. Other graphing calculators are fine, but I will not be able to demonstrate how they are used.
External Resources
In addition to the Outschool classroom, this class uses:
Sources
We will be using the Openstax Precalculus textbook as a reference source. It is available for download or you may also order a print copy. https://openstax.org/details/books/precalculus-2e/
Joined August, 2024
5.0
4reviews
Teacher expertise and credentials
Hi! I am a Licensed Secondary Math teacher for all high-school math courses including: Algebra 2, Geometry, Pre-Calculus and AP Calculus. I've taught math for over 15 years.
I also have a BS in Mathematics, which I chose because I Just Like Math.
My goal is to build confidence in your math skills, increase your problem solving ability, and move towards math success! Reviews
Live Group Class
$34
weekly2x per week, 17 weeks
45 min
Live video meetings
Ages: 14-18
4-12 learners per class
