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Welcome to Algebra 1! A short description of this course and its goals

What makes algebra different and adding, subtracting, multiplying and dividing positive and negative numbers

The answers and explanations to the practice problems from Lesson 1

Make sure we do problems in the proper order to get the right answer. PEMDAS! This lesson quickly reviews Order of Operations

Answers and explanations for Order of Operations practice problems

Lesson on Combining Like Terms to simplify expressions

Answers and explanations to combining like terms practice problems

Distribute! Make sure you multiply everything inside the parentheses. Lesson on distributing to simplify expressions

Answers to the practice problems about distribution

Step by Step instructions on how to solve basic equations

Answers to one step equations

Lesson on solving the most common type of equations: two step

Answers on two step equations practice

Adding some steps to our solving equations knowledge. Combining all lessons learned so far to solve complex equations

Answers to the practice problems for Lesson 7

So many variables, so many sides. Learn how to easily solve problems that look more complicated than they are. Lesson on Equations with Variables on Both Sides

Answers to practice problems for equations with variables on both sides

Taking equations and applying them to real life situations. Learn how to analyze a situation and write an equation from it.

Answers to Writing Equations with Word Problems

Less than, greater than. Instead of equations, now we're learning inequalities. Quick intro explaining inequalities and how to graph them

Answers to the Introduction to Inequalities practice problems

Greater than! Less than! Who talks like that in real life? No one! Learn the more practical applications of inequalities in this lesson.

Answers to the practice problems of inequality word problems

Inequalities: They're just like equations. Except for one difference. Learn how to solve them in this lesson.

Answers to solving inequalities practice problems

Applying the inequalities lesson to real life situations.

Answers to the inequalities word problems practice

Compound inequalities are just like compound sentences. Two inequalities connected with AND or OR. Learn how to graph them in this lesson.

Answers to the graphing compound inequalities practice problems

Solving compound inequalities is just like solving regular inequalities. Except now there are two of them. Learn the steps and some shortcuts.

Answers to the solving compound inequalities problems

Quick review of how to graph coordinate pairs. Review vocab such as origin, quadrant, x-axis and y-axis. Also apply the coordinate plane to a real life situation.

Answers and explanations to the graphing points practice

Linear equations are a fancy term for straight lines. This lesson delves into finding solutions algebraically and on a graph.

Answers to the finding solutions to linear equations practice problems

Intercepts are the points on the graph that cross the x and y axes. The y-intercept becomes important for the rest of algebra. X-intercepts are important in higher level math.

Answers to the practice problems on finding x and y intercepts

Slope represents the rate of change over time of a graph and the most important concept of this course. Learn how to find it by counting on a graph.

Answers to finding slope on a graph practice problems

Learn how to find the slope of a line without a graph.

Answers to the slope formula practice problems

Learn the basic form of a linear equation. This allows us to tell the slope of a line and its y-intercept just by looking at it.

Answers to slope intercept form practice problems

Learn how to graph a line when given slope-intercept form

Answers to the practice graphing linear equations problems

Lesson on standardized test prep for multiple choice problems. Students are often asked to match equations to graphs. Strategies are discussed in this lesson.

Answers to multiple choice questions on matching equations to a graph

Learn about the other two types of slope. A quick overview on how to graph vertical and horizontal lines

Answers to the practice problems on graphing vertical and horizontal lines

Apply your linear equations knowledge to real life situations.

Answers to the practice linear equations word problems

We know how to graph in slope-intercept form but we aren't always given equations like that. Learn how to convert an equation to make it easier to graph.

Answers to the practice problems on converting to slope-intercept form

Learn how to convert a standard form equation into slope intercept form and then graph it to find useful information.

Answers to graphing standard form equations practice

You know how to graph a line, now learn how to graph an inequality. It's all about shading with solid or dotted lines.

Answers to the practice problems on graphing linear inequalities

Combining two lessons we've learned before, learn how to graph vertical and horizontal inequalities.

Answers to the practice problems with graphing vertical and horizontal inequalities

A lesson that combines our algebra skills with our graphing inequalities skills. Learn how to convert standard form to slope intercept form. It's just like equations with one small twist.

Answers to problems on converting standard form inequalities to slope intercept form

The “Introduction to Algebra 1” course strives to take the stress out of algebra and provide a deep understanding of its concepts. The lessons are broken down into simple, repeatable steps. Algebra introduces the rules of math that are applicable to more complex courses. This course also emphasizes the real-world applications of algebra by having multiple lessons on word problems. This course introduces students to the concepts of algebra and prepares them to move on to more advanced algebra and geometry.

This course contains:

- 5 Units

- 30 Video Lessons

- 30 Guided Notes Sheets

- 30 Practice Problem Worksheets

- 30 Answer Review Videos (I explain how to solve each problem step-by-step)

- Over 300 Practice Problems

- 30 Quizzes at the end of each lesson

- 30 Guided Notes Answer Keys

- 30 Practice Problem Answer Keys

- More than 10 hours of Video Lessons

Course Goals: Upon course completion, students will be able to solve all types of one-variable equations, solve inequalities, graph linear equations and graph linear inequalities.

Target Audience: This course is primarily intended for 8^{th} or 9^{th} grade students who are new to algebra or need a quick refresher

Course Requirements: Students taking this course will need to have completed basic middle school math courses with a strong grasp of number skills. The first few lessons of this course review pre-algebra skills.

**It is recommended that each Notes sheet is printed before each lesson to follow along. **

Course Topics

Unit 1: Skills Review

- Integer Operations

- Order Of Operations

- Combining Like Terms

- Multiplication with Distribution

Unit 2: Solving Equations

- Solving One-Step Equations

- Solving Two-Step Equations

- Solving Equations with Distribution and Combining Like Terms

- Solving Equations with Variables on Both Sides

- Writing Equations from Word Problems

Unit 3: Solving Inequalities

- Introduction to Inequalities

- Matching Inequalities to Word Problems

- Solving Inequalities

- Word Problems with Inequalities

- Compound Inequalities

- Solving Compound Inequalities

Unit 4: Linear Equations and Slope

- Graphing Coordinate Pairs

- Finding Solutions to Linear Equations

- Finding X and Y intercepts

- Finding Slope on a Graph

- Slope Formula

- Slope-Intercept Form

- Graphing Linear Equations

- Matching Linear Equations to Graphs

- Graphing Vertical and Horizontal Lines

- Word Problems with Linear Equations

- Converting Standard Form to Slope Intercept Form

- Graphing Equations in Standard Form

Unit 5: Linear Inequalities

- Graphing Linear Inequalities

- Graphing Vertical and Horizontal Inequalities

- Converting Standard Form Inequalities to Slope-Intercept Form

- Teacher: Michael
- Areas of expertise: Algebra 1
- Education: Penn State University
- Interests: Math, Teaching, Sports, Reading
- Skills: Math, Writing, Crossword Puzzles, Trivia
- Associations: Secondary Math Certification in Louisiana
- Issues I care about: I care deeply about making sure all students have access to a quality education.

I understand that algebra can be intimidating and work to make it less so. My goal as a teacher is to break lessons down to simple, repeatable steps. Applying math skills to real-life uses is also something I actively try to do in my teaching.

Lesson 1 Notes and Practice Problems with problems solved and answers filled in

Lesson 2 Notes and Practice Problems with problems solved and answers filled in

This is a full-year Algebra 1 course and it is the critical element in giving students a solid foundation for all future mathematics courses through their post-secondary education. The course can be aligned to most states' Common Core curriculum and is perfect for homeschool groups.
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