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
32 live meetings
26 hrs 40 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 2-3 hours outside of class time practicing the skill sets, especially if they are unfamiliar.Assessment
Online assessments will be graded automatically through Khan Academy. A letter grade for the entire course will be given if all online Unit Assessments were completed.Certificate of Completion
Students who have attended 80% of the entire class will receive a certificate of completion.Class Experience
US Grade 10 - 12
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 an ongoing class that will meet twice a week and will cover all of the major Pre-Calculus Topics in a modular format. 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 explore the conceptual understanding of the material. This class is recommended for those who: 1) Want to get an overview of what PreCalculus is all about 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. I will be providing a variety of resources for students to practice the skillsets. Students should choose the mix of activities that is the most successful for them. • Homework and Keys will be provided in PDF format. I find that some amount of on paper practice is essential for mathematics success. These materials should also be printed off and kept organized with your Class Notes. • Khan Academy will be used as the main online resource for Class Assessments. If you choose to complete the Khan Academy assessments, you can expect detailed feedback on questions that you missed. • Desmos Activities and Desmos Graphing will also be used to practice concepts. • I will be providing online practice sets (flashcards, multiple choice, escape rooms, etc.) as an alternative way to practice the skillsets and help students retain what they are learning. These will mostly be direct links and will not require sign in. Classes will meet twice per week. Due to a Math Conference on Tuesday, January 28, classes held that day will be moved to Friday, January 31.
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
32 Lessons
over 16 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. 50 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 50 mins online live lesson
Lesson 3:
Function Operations
Function Operations & Function Composition from Equations & Graphs. Introduction to Inverse Functions. 50 mins online live lesson
Lesson 4:
Piecewise Functions
Evaluating & Graphing Piecewise Functions 50 mins online live lesson
Other Details
Pre-Requisites
Students need to have completed Algebra 2 (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:
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
weekly or $544 for 32 classes2x per week, 16 weeks
50 min
Live video meetings
Ages: 14-18
3-12 learners per class
