Mastery, Not Mystery - Algebra 1 - What You Need To Know

Concentrations in graphing, functions, inequalities and systems of equations.

What you'll learn

Students will understand what a linear equation/function is.

Students will be able to calculate rate of change (slope).

Students will be able to apply the three basic linear equation forms to solve problems.

Students will understand quadratics and be able to analyze and apply quadratic concepts.

Requirements

Pre-algebra, algebra fundamentals.

Description

This course dives into: - graphing basics, including coordinates, slope, distance, parallel and perpendicular lines- linear equations and inequalities, including various forms of linear equations- polynomials, including descriptions of monomials, binomials, trinomials and general polynomials- quadratics, including roots, axis of symmetry, vertex, solving by factoring and quadratic formula- functions, including testing, operations and composite functions- systems of equations and inequalities, including solving by elimination, substitution and graphing- arithmetics sequences, including general and explicit forms of equations-direct and indirect variation and introductions in: - statistics, box and whisker plot, normal distribution, standard deviation and correlation and causation- probability, including counting principle and basic probability- exponential functions, including standard form, growth and decay.This algebra 1 course is designed from several state curriculums and should meet most or all of the standards students require for algebra 1.  It does not include worksheets, quizzes or problem sets which add to the length of the course.  It includes video lectures on the topics and where appropriate, goes through some sample problems.  Reviewing some of the lectures more than once will solidify the concepts so that the student will be comfortable in the knowledge gained.  I hope this course proves very useful for all students that enroll and I sincerely hope my teaching style is suitable to convey the necessary knowledge.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Coordinate Plane, slope, distance and midpoints

Lecture 2 Coordinate Plane

Lecture 3 Coordinates

Lecture 4 Lines

Lecture 5 Slope (Part 1)

Lecture 6 Slope (Part 2)

Lecture 7 Slope Summary

Lecture 8 Distance Between Points (Part 1)

Lecture 9 Distance Bewteen Points (Part 2)

Lecture 10 Midpoints

Section 3: Linear Equations, Parallel Lines, Perpendicular Lines, Slope Revisited

Lecture 11 Linear Equations (Part 1)

Lecture 12 Linear Equations (Part 2)

Lecture 13 Linear Equations (Part 3)

Lecture 14 Linear Equations (Part 4)

Lecture 15 Parallel Line Through a Given Point

Lecture 16 Perpendicular Line Through a Given Point

Lecture 17 Calculating Slope Multiple Ways

Section 4: Graphing Inequalities

Lecture 18 Graphing Inequalities (Part 1)

Lecture 19 Graphing Inequalities (Part 2)

Section 5: Direct and Inverse Variation and Arithmetic Sequences

Lecture 20 Direct Variation

Lecture 21 Direct Variation Problems

Lecture 22 Inverse Variation (Part 1)

Lecture 23 Inverse Variation (Part 2)

Lecture 24 Arithmetic Sequences

Section 6: Systems of Equations and Inequalities

Lecture 25 Systems of Equations - Elimination

Lecture 26 Systems of Equations - Substitution

Lecture 27 Systems of Equations - Graphing

Lecture 28 Systems of Inequalities (Part 1)

Lecture 29 Systems of Inequalities (Part 2)

Section 7: Laws of Exponents

Lecture 30 Product Rule

Lecture 31 Quotient Rule

Lecture 32 Power Rule

Lecture 33 Other Forms of Exponents

Lecture 34 Product Rule Examples

Lecture 35 Quotient Rule Examples

Lecture 36 Power Rule Examples

Lecture 37 Combination Rule Examples

Section 8: Roots

Lecture 38 Roots

Lecture 39 Simplifying Roots (Part 1)

Lecture 40 Simplifying Roots (Part 2)

Lecture 41 Operations with Roots

Lecture 42 Operations with Radicals

Lecture 43 Imaginary and Complex Numbers

Lecture 44 Operations with Complex Numbers

Section 9: Functions

Lecture 45 Function Basics

Lecture 46 Testing Functions

Lecture 47 Function Naming

Lecture 48 Function Operations (Part 1)

Lecture 49 Function Operations (Part 2)

Lecture 50 Composite Functions

Section 10: Polynomials

Lecture 51 Polynomials (Part 1)

Lecture 52 Polynomials (Part 2)

Lecture 53 Polynomials (Part 3)

Section 11: Quadratics

Lecture 54 Quadratics (Part 1)

Lecture 55 Quadratics (Part 2)

Lecture 56 Quadratics (Part 3)

Lecture 57 Quadratics (Part 4)

Lecture 58 Quadratics (Part 5)

Lecture 59 Quadratics (Part 6)

Lecture 60 Quadratics (Part 7)

Lecture 61 Quadratics (Part 8)

Lecture 62 Quadratics (Part 9)

Lecture 63 Quadratics (Part 10)

Lecture 64 Quadratics (Part 11)

Lecture 65 Quadratics (Part 12)

Lecture 66 Quadratics Sample Problems

Section 12: Exponential Functions

Lecture 67 Exponential Functions

Lecture 68 Exponential Growth and Decay

Lecture 69 Exponential Function Problems

Section 13: Statistics

Lecture 70 Statistics - Central Tendencies

Lecture 71 Statistics - Box and Whisker Plot

Lecture 72 Statistics - Normal Distribution

Lecture 73 Statistics - Standard Deviation

Lecture 74 Statistics - Correlation and Causation

Section 14: Probability

Lecture 75 Counting Principle

Lecture 76 Probability

Lecture 77 Geometric Probabilities

This module is intended for any student learning algebra at the middle school, high school and even college level.