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Pre-Calculus: Quarter 1

First Quarter of Pre-Calculus Units will include: --Function Basics --Rational & Polynomial Functions --Exponential and Log Functions
Bethany Kiracofe
Average rating:
5.0
Number of reviews:
(387)
Class

What's included

16 live meetings
21 hrs 20 mins in-class hours
Homework
2-4 hours per week. Homework will be assigned after each class session. Math cannot be learned without practice and students are expected to do the homework in a timely manner and check it themselves with provided answer keys. Students should expect to spend 30-45 minutes on homework each school day (2-4 hours per week); this will vary depending on topic.
Assessment
End-of-unit quizzes/tests will be assigned.

Class Experience

US Grade 10 - 12
This is the first quarter of Pre-Calculus.  This course is rigorous and should only be taken by students who have successfully completed Algebra 2.  This class is best for self-motivated students who like math and will work hard both in and outside of class.  In this quarter we will focus on functions and their graphs.  Graphing calculators will be utilized (we will use Desmos.com) which is a free resource.

Topics to be covered in Pre-Calculus:  Quarter 1
Weeks 1 & 2:   Critical Points, Increasing/Decreasing Intervals, Continuity, End Behavior, Symmetry, Piecewise Functions
Week 3:  Parent Functions & Transformations
Week 4: Composition of Functions, Piecewise & Inverse Functions
Week 5: Zeros of Polynomial Functions, Dividing Polynomials
Week 6: Fundamental Theorem of Algebra & Rational Root Theorem
Week 7: Graphing Rational Functions
Week 8:  End of Quarter Review


Material will be presented in a straightforward "I do, we do, you do" approach.  Students will first see a detailed example before working problems with instructor guidance before solving problems on their own. The students will be given opportunities to try the skills in class with instructor guidance and then will practice on their own after class.  Required homework will be assigned after each class session and will take approximately 45 minutes to complete daily (2-4 hours a week).  Answer keys will be posted to the homework assignments so students may assess their own progress. 

 Optional quizzes and tests will also be assigned throughout the course.  A final grade can be assigned at parent/guardian request.

Syllabus

3 Units
16 Lessons
over 8 Weeks
Unit 1: Function Basics
Lesson 1:
Intercepts, Critical Points, Increasing/Descreasing Intervals
80 mins online live lesson
Lesson 2:
Continuity, End Behavior, Symmetry
80 mins online live lesson
Lesson 3:
Average Rate of Change & Piecewise Functions
80 mins online live lesson
Lesson 4:
Compositions of Functions & Inverse Functions
80 mins online live lesson

Other Details

Pre-Requisites
Students must have successfully completed Algebra 1, Algebra 2, and Geometry before taking this course.
Supply List
Curriculum will be provided by the instructor.  A printer will be needed to print out notes and assignents.  A basic calculator will be needed (recommended--TI-30X IIS) and we will use the free online graphing calculator, Desmos.com
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined December, 2017
5.0
387reviews
Profile
Teacher expertise and credentials
I have been teaching middle & high school level mathematics for over ten years and love breaking down harder concepts into understandable lessons for my students.

Reviews

Live Group Course
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$225

for 16 classes
2x per week, 8 weeks
80 min

Completed by 11 learners
Live video meetings
Ages: 15-18
3-6 learners per class

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