Pre-Calculus Simplified

Learn Pre-Calculus step by step through the exactly same course Mr. McLogan taught inside of the classroom

What you'll learn

Functions including identifying the domain and range, piecewise functions, operations such as composition and finding inverses

Polynomials including, graphing, solving, factoring, multiplicity, synthetic long division, long division and theorems

Rational Functions including vertical, horizontal and oblique asymptotes, finding holes, operations and complex fractions

Trigonometry including right triangles, six trigonometric functions, graphing and and evaluating trigonometric functions

Analytic Trigonometry including solving, simplifying, verifying, and evaluating trigonometric functions using trig identities

Applications of Trigonometry including law of sines/cosines, vectors, parametric and polar equations

Analytic Geometry including graphing and writing the equation of paraboloas, circles, ellipses, and hyperboolas

The limit including evaluating, general, left hand, right hand, and limits at infinity from a graph or equation

Requirements

Algebra 2

Willigness to learn

Geometry

Description

After spending years creating new lesson plans every day I decided to record my lesson so that my student and you could benefit from them, if you are sick, need a refresher, or just want to learn on your own. In this I will break down the sections into a warmup or intro, notes, examples and then homework. You will have plenty of practice problems to try on your own, check your answers or watch me complete. In addition to the assinged work, you will also have online quizzes to test your skills after each section and topic. In addition to online quizzes I also provide the full print out version of test and quizzes I gave to my students in addition to the semester and final exam review and actual tests. While Pre-calculus courses can vary in this pre-calculus course I will cover Functions, Polynomials, Rational Expressions, Trigonometry, Analytic Trigonometry, Applications of Trigonometry, Analytic Geometry and the Limit. You will have everything you will need to know as either a refresher of pre-calculus or to move on to calculus. I hope you enjoy!! Now you have everything you would need to learn or maybe even teach Pre-Calculus. You Ready? Lets do this!

Overview

Section 1: Welcome to Pre-Calculus

Lecture 1 Watch this video first

Section 2: Functions

Lecture 2 1.) Introduction

Lecture 3 1.) What You Need to Know

Lecture 4 1a.) Intro Characteristics of Functions

Lecture 5 1a.) Notes Characteristics of Functions

Lecture 6 1a.) Examples Characteristics of Functions

Lecture 7 1a.) Homework Characteristics of Functions

Lecture 8 1b.) Intro Implied Domain

Lecture 9 1b.) Notes Implied Domain

Lecture 10 1b.) Examples Implied Domain

Lecture 11 1b.) Homework Implied Domain

Lecture 12 1c.) Intro Transformation of Functions

Lecture 13 1c.) Notes Transformations of Functions

Lecture 14 1c.) Examples Transformations of Functions

Lecture 15 1c.) Homework Transformations of Functions

Lecture 16 1d.) Intro Piecewise Functions

Lecture 17 1d.) Notes Piecewise Functions

Lecture 18 1d.) Examples Piecewise Functions

Lecture 19 1d.) Homework Piecewise Functions

Lecture 20 1e.) Intro Operations of Functions

Lecture 21 1e.) Notes Operations of Functions

Lecture 22 1e.) Examples Operations of Functions

Lecture 23 1e.) Homework Operations of Functions

Lecture 24 1f.) Intro Inverse of Functions

Lecture 25 1f.) Notes Inverse of Functions

Lecture 26 1f.) Examples Inverse of Functions

Lecture 27 1f.) Homework Inverse of Functions

Section 3: 2.) Polynomials

Lecture 28 2.) Introduction

Lecture 29 2.) What You Need to Know

Lecture 30 2a.) Intro Characteristics of Polynomials

Lecture 31 2a.) Notes Characteristics of Polynomials

Lecture 32 2a.) Examples Characteristics of Polynomials

Lecture 33 2a.) Homework Characteristics of Polynomials

Lecture 34 2b.) Intro Binomial Expansion

Lecture 35 2b.) Notes Binomial Expansion

Lecture 36 2b.) Examples Binomial Expansion

Lecture 37 2b.) Homework Binomial Expansion

Lecture 38 2c.) Intro Real Rational Zeros of Polynomials

Lecture 39 2c.) Notes Real Rational Zeros of Polynomials

Lecture 40 2c.) Examples Real Rational Zeros of Polynomials

Lecture 41 2c.) Homework Real Rational Zeros of Polynomials

Lecture 42 2d.) Intro Real Irrational Zeros of Polynomials

Lecture 43 2d.) Notes Real Irrational Zeros of Polynomials

Lecture 44 2d.) Examples Real Irrational Zeros of Polynomials

Lecture 45 2d.) Homework Real Irrational Zeros of Polynomials

Lecture 46 2e.) Intro Real Complex Zeros of Polynomials

Lecture 47 2e.) Notes Real Complex Zeros of Polynomials

Lecture 48 2e.) Examples Real Complex Zeros of Polynomials

Lecture 49 2e.) Homework Real Complex Zeros of Polynomials

Lecture 50 2.) Quiz #2 Print

Lecture 51 2.) Chapter Review and Old Tests

Section 4: 3.) Rational Functions

Lecture 52 3.) Introduction

Lecture 53 3.) What You Need to Know

Lecture 54 3a.) Intro Simplify Rational Functions

Lecture 55 3a.) Notes Simplify Rational Functions

Lecture 56 3a.) Examples Simplify Rational Functions

Lecture 57 3a.) Homework Simplify Rational Functions

Lecture 58 3b.) Intro Graph Rational Functions

Lecture 59 3b.) Notes Graph Rational Functions

Lecture 60 3b.) Examples Graph Rational Functions

Lecture 61 3b.) Homework Graph Rational Functions

Lecture 62 3c.) Intro Solve Rational Equations

Lecture 63 3c.) Notes Solve Rational Equations

Lecture 64 3c.) Examples Solve Rational Equations

Lecture 65 3c.) Homework Solve Rational Equations

Lecture 66 3.) Quiz #1 Print

Lecture 67 3) Chapter Review and Old Tests

Section 5: 4.) Trigonometry

Lecture 68 4.) Introduction

Lecture 69 4.) What you need to know

Lecture 70 4a.) Intro Right Triangle Trigonometry

Lecture 71 4a.) Notes Right Triangle Trigonometry

Lecture 72 4a.) Examples Right Triangle Trigonometry

Lecture 73 4a.) Homework Right Triangle Trigonometry

Lecture 74 4b.) Intro Angles in Trigonometry

Lecture 75 4b.) Notes Angles in Trigonometry

Lecture 76 4b.) Examples Angles in Trigonometry

Lecture 77 4b.) Homework Angles in Trigonometry

Lecture 78 4c.) Intro Angles and Constraints

Lecture 79 4c.) Notes Angles and Constraints

Lecture 80 4c.) Examples Angles and Constraints

Lecture 81 4c.) Homework Angles and Constraints

Lecture 82 4d.) Intro The Unit Circle

Lecture 83 4d.) Notes The Unit Circle

Lecture 84 4d.) Examples The Unit Circle

Lecture 85 4d.) Homework The Unit Circle

Lecture 86 4.) Quiz #1

Lecture 87 4e.) Intro Graph Trigonometric Functions

Lecture 88 4e.) Notes Graph Trigonometric Functions

Lecture 89 4e.) Examples Graph Trigonometric Functions

Lecture 90 4e.) Homework Graph Trigonometric Functions

Lecture 91 4f.) Intro Graph Reciprocal Trig Functions

Lecture 92 4f.) Notes Graph Reciprocal Trig Functions

Lecture 93 4f.) Examples Graph Reciprocal Trig Functions

Lecture 94 4f.) Homework Graph Reciprocal Trig Functions

Lecture 95 4g.) Intro Inverses of Trig Functions

Lecture 96 4g.) Notes Inverses of Trig Functions

Lecture 97 4g.) Examples Inverses of Trig Functions

Lecture 98 4g.) Homework Inverses of Trig Functions

Lecture 99 4.) Quiz # 2

Lecture 100 4.) Chapter Review and Test

Section 6: Semester Exam

Lecture 101 Semester Exam Review

Lecture 102 Semester Exam Review FR

Section 7: 5.) Analytic Trigonometry

Lecture 103 5.) Introduction

Lecture 104 5.) What You Need to Know

Lecture 105 5a.) Intro Simplify Identities

Lecture 106 5a.) Notes Simplify Identities

Lecture 107 5a.) Examples Simplify Identities

Lecture 108 5a.) Homework Simplify Identities

Lecture 109 5b.) Intro Verify Trigonometric Identities

Lecture 110 5b.) Notes Verify Trigonometric Identities

Lecture 111 5b.) Examples Verify Trigonometric Identities

Lecture 112 5b.) Homework Verify Trigonometric Identities

Lecture 113 5c.) Intro Solve Trigonometric Equations

Lecture 114 5c.) Notes Solve Trigonometric Equations

Lecture 115 5c.) Examples Solve Trigonometric Equations

Lecture 116 5c.) Homework Solve Trigonometric Equations

Lecture 117 5.) Quiz #1

Lecture 118 5d.) Intro Sum and Difference Formulas

Lecture 119 5d.) Notes Sum and Difference Formulas

Lecture 120 5d.) Examples Sum and Difference Formulas

Lecture 121 5d.) Homework Sum and Difference Formulas

Lecture 122 5e.) Intro Double and Half Angle Formulas

Lecture 123 5e.) Notes Double and Half Angle Formulas

Lecture 124 5e.) Examples Double and Half Angle Formulas

Lecture 125 5e.) Homework Double and Half Angle Formulas

Lecture 126 5.) Quiz #2

Lecture 127 5.) Chapter Review and Test

Section 8: 6.) Applications of Trigonometry

Lecture 128 6.) Introduction

Lecture 129 6.) What You Need to Know

Lecture 130 6a.) Intro Solve Trigonometric Word Problems

Lecture 131 6a.) Notes Solve Trigonometric Word Problems

Lecture 132 6a.) Examples Solve Trigonometric Word Problems

Lecture 133 6a.) Homework Solve Trigonometric Word Problems

Lecture 134 6b.) Intro Law of Sines

Lecture 135 6b.) Notes Law of Sines

Lecture 136 6b.) Examples Law of Sines

Lecture 137 6b.) Homework Law of Sines

Lecture 138 6c.) Intro Law of Cosines

Lecture 139 6c.) Notes Law of Cosines

Lecture 140 6c.) Examples Law of Cosines

Lecture 141 6c.) Homework Law of Cosines

Lecture 142 6.) Quiz #1

Lecture 143 6d.) Intro Vector on a Plane

Lecture 144 6d.) Notes Vector on a Plane

Lecture 145 6d.) Examples Vector on a Plane

Lecture 146 6d.) Homework Vector on a Plane

Lecture 147 6e.) Intro Applications of Vectors

Lecture 148 6e.) Notes Applications of Vectors

Lecture 149 6e.) Examples Applications of Vectors

Lecture 150 6e.) Homework Applications of Vectors

Lecture 151 6f.) Intro Parametric Equations

Lecture 152 6f.) Notes Parametric Equations

Lecture 153 6f.) Examples Parametric Equations

Lecture 154 6f.) Homework Parametric Equations

Lecture 155 6g.) Intro Polar Equation

Lecture 156 6g.) Notes Polar Equation

Lecture 157 6g.) Examples Polar Equation

Lecture 158 6g.) Homework Polar Equation

Lecture 159 6.) Review and Old Tests

Section 9: 7.) Conic Sections

Lecture 160 7.) Introduction

Lecture 161 7.) What You Need to Know

Lecture 162 7a.) Intro Classifying Conic Sections

Lecture 163 7a.) Notes Classifying Conic Sections

Lecture 164 7a.) Examples Classifying Conic Sections

Lecture 165 7a.) Homework Classifying Conic Sections

Lecture 166 7b.) Intro The Parabola

Lecture 167 7b.) Notes The Parabola

Lecture 168 7b.) Examples The Parabola

Lecture 169 7b.) Homework The Parabola

Lecture 170 7c.) Intro The Ellipse

Lecture 171 7c.) Notes The Ellipse

Lecture 172 7c.) Examples The Ellipse

Lecture 173 7c.) Homework The Ellipse

Lecture 174 7d.) Intro The Hyperbola

Lecture 175 7d.) Notes The Hyperbola

Lecture 176 7d.) Examples The Hyperbola

Lecture 177 7d.) Homework The Hyperbola

Lecture 178 7.) Quiz #1

Lecture 179 7.) Review and Tests

Section 10: 8.) The Limit

Lecture 180 8.) Introduction

Lecture 181 8.) What You Need to Know

Lecture 182 8a.) Intro Continuity

Lecture 183 8a.) Notes Continuity

Lecture 184 8a.) Examples Continuity

Lecture 185 8a.) Homework Continuity

Lecture 186 8b.) Intro The General Limit

Lecture 187 8b.) Notes The General Limit

Lecture 188 8b.) Examples The General Limit

Lecture 189 8b.) Homework The General Limit

Lecture 190 8c.) Intro Left and Right Hand Limits

Lecture 191 8c.) Notes Left and Right Hand Limits

Lecture 192 8c.) Examples Left and Right Hand Limits

Lecture 193 8c.) Homework Left and Right Hand Limits

Lecture 194 8d.) Intro Limits at Infinity

Lecture 195 8d.) Notes Limits at Infinity

Lecture 196 8d.) Examples Limits at Infinity

Lecture 197 8d.) Homework Limits at Infinity

Lecture 198 Quiz #1 Printable

Lecture 199 8.) Review and Test

Section 11: Final Exam

Lecture 200 Final Exam Review

Students wanting learn Pre-Calculus on their own,Students that need extra resources while learning Pre-Calculus,Students that need a refresher of Pre-Calculus content