Pre-AP Pre-Calculus

Name: Pre-AP Pre-Calculus
Rating: 4.7 (16 reviews)

Great for review or Homeschooling!!

Created byWillmar Herrera

Last updated 3/2020

English

What you'll learn

All topics in Precal with a foundation to prepare for calculus or college level math.
Great for homeschoolers!!!
If you're scared of math I can help
Unit 1 - Function properties
Unit 2 - Polynomial Theorems
Unit 3 - Exponential and Logarithmic Functions
Unit 4 - Angles and Trigonometry
Unit 5 - Right Triangles, Bearing, and Inverse Trig
Unit 6 - Trig Identities, Law of Sine and Cosines
Unit 7 - Vectors and Parametric Equations
Unit 8 - Conics
Unit 9 - Binomial Expansion, Sequences, and Series

Course content

9 sections • 76 lectures • 12h 4m total length

1.00 Prework (and Resources)8:52
Here are the Notes to follow along with and all the answers so you can check your work. Please download and print them.
1.01 Functions and their Properties11:03
1.02 Even or Odd Functions9:23
1.03 Function Basics9:15
1.04 Evaluated Piecewise Functions10:49
1.05 Piecewise Functions10:50
1.06 Building Functions from Functions12:41
1.07 Inverse Functions and Modeling7:24
1.08 Transformations7:36
1.09 Writing Transformation Equations5:29

2.01 Polynomial Function End Behavior (and Resources)13:36
Here are the Notes to follow along with and all the answers so you can check your work. Please download and print them.
2.02 Polynomial Functions Zeroes and Multiplicity15:52
2.03 Polynomial Division8:06
2.04 Rational Root Theorem9:28
2.05 Finding All Zeroes in a Polynomial10:10
2.06 Rational Functions14:30
2.06a/b More Rational Root Functions11:21
2.07 Polynomial And Rational Function Inequalities7:55

3.01 Graphing Exponential Functions (and Resources)12:06
Here are the Notes to follow along with and all the answers so you can check your work. Please download and print them.
3.02 Exponential Modeling12:29
3.03 Graphing Logarithmic Functions4:24
3.04 Solving Exponential and Logarithmic Functions5:16
3.05 Logarithmic Properties9:29
3.05a Applying the Log Properties8:07
3.06 Solving Exponential Equations7:59

4.01 Angles and Their Measures (and Resources)10:09
4.02 Radian and Degree Angles15:34
4.03 Arc Length7:13
4.04 Trigonometric Functions on the Unit Circle7:57
4.05 Right Triangle Trigonometry10:35
4.06 Sine and Cosine Graphs with Transformations11:19
4.06a Sine and Cosine Graphs and Transformations pt28:32
4.07 Other Trig Graphs and Transformations11:04
4.07a Other Trig Graphs and Transformations pt24:58
4.08 Area of a Sector, Angular Speed, and Linear Speed8:08

7.01a Vector Component Form and Magnitude (and Resources)12:24
Here are the Notes to follow along with and all the answers so you can check your work. Please download and print them.
7.01b Vector Operations6:33
7.01c Unit, Direction, and Resolving Vectors8:43
7.01d Vector Application10:47
7.02 Dot Products and Angles5:31
7.02b Angles Between Vectors5:22
7.03 Graphing Parametric Equations10:50
7.03b Solving Parametric Equations5:05
7.03c Parametric Equations Describing Linear Motion6:12
7.03d Motion with Parametric Equations11:24
7.04 Polar Graphs9:38
7.04b/c Converting Polar to Rectangular13:19

Requirements

Algebra 1
Geometry
Algebra 2

Description

I've developed this course to help students gain an understanding of pre-AP Calculus and to prepare them for the rigor that Calculus entails.

Thankfully this course is also geared towards homeschooling and test prep.

I've been teaching for many years now and have compiled everything I have on my pre-cal material into this course, please use it to grow your knowledge.

Who this course is for:

Students who need a refresher on Pre-cal topics
Students who are getting ready for AP Calculus or College Calculus
Homeschool students/parents

Pre-AP Pre-Calculus

What you'll learn

Explore related topics

Course content

Unit 1 - Function Properties10 lectures • 1hr 33min

Unit 2 - Polynomial Theorems8 lectures • 1hr 31min

Unit 3 - Exponential and Logarithmic Functions7 lectures • 1hr

Unit 4 - Angles and Trigonometry10 lectures • 1hr 35min

Unit 5 - Right Triangles, Bearing, and Inverse Trig6 lectures • 53min

Unit 6 - Trig Identities, Law of Sine and Cosine9 lectures • 1hr 24min

Unit 7 - Vectors and Parametric Equations12 lectures • 1hr 46min

Unit 8 - Conics6 lectures • 1hr 16min

Unit 9 - Binomial Expansion, Sequences, and Series8 lectures • 1hr 7min

Requirements

Description

Who this course is for: