Full Algebra 1 Course

Enter Into the World of Algebra

What you'll learn

Solve multi-step equations for a desired variable.

Graph a variety of functions on the coordinate plane.

Identify the slope and y-intercept of a line.

Solve and graph quadratic functions with the quadratic formula.

Requirements

Students should have mathematics training up to at least 7th grade. Students should know how to add, subtract, multiply, and divide fractions and decimals. Students should have advanced knowledge of the base-10 system and have some basic understanding of graphing in quadrant 1 of the coordinate plane.

Description

In this Algebra 1 course, students will be taught the full Algebra 1 curriculum as in Pearson's Common Core Algebra 1 textbook. Students may purchase this for the class, but it is not necessary. For the course, students may want a math notebook and pencils or pens to take notes on Power Points and solve problems with me. For the course, I will utilize Zoom for taking my course videos. I'll screen share a Power Point with notes and I'll use Microsoft Whiteboard for solving problems. Educational YouTube videos are included in the resources section to further emphasize certain points. These videos may include catchy songs and or movement which appeals to those auditory and kinesthetic learners.When I teach, I employ the "I Do, We Do, You Do" method for teaching. I solve a problem first, showing students how to solve a problem. Then, I solve a problem with the students telling me what to do while the students solve the problem with me. Lastly, students will solve a similar problem on their own. Unfortunately, the "We Do" portion is next to impossible when online teaching through lecture videos; however, I make an effort to ask students prompting questions when I feel a concept is particularly challenging. Additionally, I like showing students safety nets in math such as checking their work, re-solving, or plugging their answer back into the original problem.This course is set up in such a way that students will learn a concept, complete 5-10 homework problems related to the concept, and check their own homework. There are 9 chapters that will be covered. Each one has a designated number of lessons. There will be one mid-chapter quiz and one test associated with each chapter. Students will be able to take these assessments, and then grade the work themselves. I feel that students learn best when they grade their own work because they discover where it all went wrong or where it all went right. For quizzes and tests, I show the assignment through video and then prompt students to pause the video and complete the work. Once they finish, they are asked to play the video again. Then, I go over every problem on the assignment, so students can check the work they've accomplished.If you're homeschooling and need grading suggestions, I would select one of the following methods:1. Points Grading SystemUse the total points I have assigned for each quiz and test spoken in the videos. Make each homework assignment a completion grade of 5 points.2. Weighted Grading SystemTests (50%)Quizzes (30%)Homework (20%)I hope you choose to take this course with me! We will have a blast appreciating math and learning new things together.

Overview

Section 1: Introduction

Lecture 1 Introducing Me

Lecture 2 Introducing the Class

Section 2: Chapter 1: Foundations for Algebra

Lecture 3 Lesson 1: Variables and Expressions

Lecture 4 Lesson 2: Order of Operations and Evaluating Expressions

Lecture 5 Lesson 3: Real Numbers and the Number Line

Lecture 6 Lesson 4: Properties of Real Numbers

Lecture 7 Mid-Chapter Quiz 1

Lecture 8 Lesson 5: Adding and Subtracting Real Numbers

Lecture 9 Lesson 6: Multiplying and Dividing Real Numbers

Lecture 10 Lesson 7: The Distributive Property

Lecture 11 Lesson 8: An Introduction to Equations

Lecture 12 Lesson 9: Patterns, Equations, and Graphs

Lecture 13 Chapter 1 Review

Lecture 14 Chapter 1 Test

Section 3: Chapter 2: Solving Equations

Lecture 15 Lesson 1: Solving One-Step Equations

Lecture 16 Lesson 2: Solving Two-Step Equations

Lecture 17 Lesson 3: Solving Multi-Step Equations

Lecture 18 Lesson 4: Solving Equations With Variables on Both Sides

Lecture 19 Lesson 5: Literal Equations and Formulas

Lecture 20 Mid-Chapter Quiz 2

Lecture 21 Lesson 6: Ratios, Rates, and Conversions

Lecture 22 Lesson 7: Solving Proportions

Lecture 23 Lesson 8: Proportions and Similar Figures

Lecture 24 Lesson 9: Percents

Lecture 25 Lesson 10: Change Expressed as a Percent

Lecture 26 Chapter 2 Review

Lecture 27 Chapter 2 Test

Section 4: Chapter 3: Solving Inequalities

Lecture 28 Lesson 1: Inequalities and Their Graphs

Lecture 29 Lesson 2: Solving Inequalities Using Addition or Subtraction

Lecture 30 Lesson 3: Solving Inequalities Using Multiplication or Division

Lecture 31 Lesson 4: Solving Multi-Step Inequalities

Lecture 32 Mid-Chapter Quiz 3

Lecture 33 Lesson 5: Working With Sets

Lecture 34 Lesson 6: Compound Inequalities

Lecture 35 Lesson 7: Absolute Value Equations and Inequalities

Lecture 36 Lesson 8: Unions and Intersections of Sets

Lecture 37 Chapter 3 Review

Lecture 38 Chapter 3 Test

Section 5: Chapter 4: An Introduction to Functions

Lecture 39 Lesson 1: Using Graphs to Relate Two Quantities

Lecture 40 Lesson 2: Patterns and Linear Functions

Lecture 41 Lesson 3: Patterns and Nonlinear Functions

Lecture 42 Mid-Chapter Quiz 4

Lecture 43 Lesson 4: Graphing a Function Rule

Lecture 44 Lesson 5: Writing a Function Rule

Lecture 45 Lesson 6: Formalizing Relations and Functions

Lecture 46 Lesson 7: Arithmetic Sequences

Lecture 47 Chapter 4 Review

Lecture 48 Chapter 4 Test

Section 6: Chapter 5: Linear Functions

Lecture 49 Lesson 1: Rate of Change and Slope

Lecture 50 Lesson 2: Direct Variation

Lecture 51 Lesson 3: Slope-Intercept Form

Lecture 52 Lesson 4: Point-Slope Form

Lecture 53 Mid-Chapter Quiz 5

Lecture 54 Lesson 5: Standard Form

Lecture 55 Lesson 6: Parallel and Perpendicular Lines

Lecture 56 Lesson 7: Scatter Plots and Trend Lines

Lecture 57 Lesson 8: Graphing Absolute Value Functions

Lecture 58 Chapter 5 Review

Lecture 59 Chapter 5 Test

Section 7: Chapter 6: Systems of Equations and Inequalities

Lecture 60 Lesson 1: Solving Systems by Graphing

Lecture 61 Lesson 2: Solving Systems Using Substitution

Lecture 62 Lesson 3: Solving Systems Using Elimination

Lecture 63 Lesson 4: Applications of Linear Systems

Lecture 64 Mid-Chapter Quiz 6

Lecture 65 Lesson 5: Linear Inequalities

Lecture 66 Lesson 6: Systems of Linear Inequalities

Lecture 67 Chapter 6 Review

Lecture 68 Chapter 6 Test

Section 8: Chapter 7: Exponents and Exponential Functions

Lecture 69 Lesson 1: Zero and Negative Exponents

Lecture 70 Lesson 2: Multiplying Powers with the Same Base

Lecture 71 Lesson 3: More Multiplication Properties of Exponents

Lecture 72 Lesson 4: Division Properties of Exponents

Lecture 73 Mid-Chapter Quiz 7

Lecture 74 Lesson 5: Rational Exponents and Radicals

Lecture 75 Lesson 6: Exponential Functions

Lecture 76 Lesson 7: Exponential Growth and Decay

Lecture 77 Lesson 8: Geometric Sequences

Lecture 78 Chapter 7 Review

Lecture 79 Chapter 7 Test

Section 9: Chapter 8: Polynomials and Factoring

Lecture 80 Lesson 1: Adding and Subtracting Polynomials

Lecture 81 Lesson 2: Multiplying and Factoring

Lecture 82 Lesson 3: Multiplying Binomials

Lecture 83 Lesson 4: Multiplying Special Cases

Lecture 84 Mid-Chapter Quiz 8

Lecture 85 Lesson 5: Factoring x^2 + bx + c

Lecture 86 Lesson 6: Factoring ax^2 + bx + c

Lecture 87 Lesson 7: Factoring Special Cases

Lecture 88 Lesson 8: Factoring by Grouping

Lecture 89 Chapter 8 Review

Lecture 90 Chapter 8 Test

Section 10: Chapter 9: Quadratic Functions and Equations

Lecture 91 Lesson 1: Quadratic Graphs and Their Properties

Lecture 92 Lesson 2: Quadratic Functions

Lecture 93 Lesson 3: Solving Quadratic Equations

Lecture 94 Lesson 4: Factoring to Solve Quadratic Equations

Lecture 95 Mid-Chapter Quiz 9

Lecture 96 Lesson 5: Completing the Square

Lecture 97 Lesson 6: The Quadratic Formula and the Discriminant

Lecture 98 Lesson 7: Linear, Quadratic, and Exponential Models

Lecture 99 Lesson 8: Systems of Linear and Quadratic Equations

Lecture 100 Chapter 9 Review

Lecture 101 Chapter 9 Test

12-16 year old students who have grasped multiplication, division, addition, subtraction, fractions, decimals, and other basic math skills. Students should be 7th grade or above in their math learning.