Overview

Learn or review all the concepts of first-year algebra—including variables, order of operations, and functions—with these lectures taught by a Professor of Mathematics. Algebra I is one of the most critical courses that students take in high school and serves as a gateway to higher education. With 36 half-hour lessons, this course is designed to teach students and parents the concepts and procedures of first-year algebra in an easily accessible way.

Course Instructor

Professor James Sellers, an award-winning educator at The Pennsylvania State University, takes the fear out of learning algebra with a friendly and reassuring spirit. Students will learn to grasp algebra’s terminology and symbolic nature, understanding functions and equations.

Video Lessons

• An Introduction to the Course
  • Duration: 33 min
  • Description: Professor Sellers introduces course topics and strategies for effective lesson use.

• Order of Operations
  • Duration: 30 min
  • Description: Learn the critical order in which arithmetic operations are performed.

• Percents, Decimals, and Fractions
  • Duration: 30 min
  • Description: Explore procedures for converting between the different forms of numbers.

• Variables and Algebraic Expressions
  • Duration: 30 min
  • Description: Use variables to create algebraic expressions and translate word problems into math.

• Operations and Expressions
  • Duration: 31 min
  • Description: Reduce complicated algebraic expressions using basic algebraic rules.

• Principles of Graphing in 2 Dimensions
  • Duration: 28 min
  • Description: Learn to plot points and graph linear equations on the Cartesian plane.

7. Solving Linear Equations, Part 1
   • Duration: 30 min
   • Description: Solve simple linear equations and isolate variables step-by-step.

• Solving Linear Equations, Part 2
  • Duration: 29 min
  • Description: Investigate more complicated linear equations and their solutions.

• Slope of a Line
  • Duration: 28 min
  • Description: Understand the concept of slope and its calculation from coordinates.

10. Graphing Linear Equations, Part 1
    • Duration: 31 min
    • Description: Graph linear equations using the slope-intercept form.

11. Graphing Linear Equations, Part 2
    • Duration: 30 min
    • Description: Learn point-slope form for writing equations of lines.

• Parallel and Perpendicular Lines
  • Duration: 31 min
  • Description: Understand parallel and perpendicular lines through their equations.

• Solving Word Problems with Linear Equations
  • Duration: 31 min
  • Description: Determine if real-life scenarios can be expressed as linear equations.

• Linear Equations for Real-World Data
  • Duration: 30 min
  • Description: Apply linear equations to various real-world scenarios.

• Systems of Linear Equations, Part 1
  • Duration: 30 min
  • Description: Discover methods for solving systems of linear equations.

• Systems of Linear Equations, Part 2
  • Duration: 32 min
  • Description: Expand tools for solving systems using elimination techniques.

• Linear Inequalities
  • Duration: 31 min
  • Description: Explore linear inequalities and their business applications.

• An Introduction to Quadratic Polynomials
  • Duration: 31 min
  • Description: Learn about quadratic expressions and the FOIL method.

• Factoring Trinomials
  • Duration: 31 min
  • Description: Find solutions for quadratic equations using factoring techniques.

• Quadratic Equations-Factoring
  • Duration: 32 min
  • Description: Recognize special forms that allow for quicker factoring.

• Quadratic Equations-The Quadratic Formula
  • Duration: 30 min
  • Description: Use the quadratic formula for solving equations with no simple factors.

• Quadratic Equations-Completing the Square
  • Duration: 31 min
  • Description: Use completing the square for rewriting quadratic functions.

• Representations of Quadratic Functions
  • Duration: 29 min
  • Description: Analyze parabolic shapes and their attributes.

• Quadratic Equations in the Real World
  • Duration: 32 min
  • Description: Solve real-world problems using quadratic functions.

25. The Pythagorean Theorem
    • Duration: 31 min
    • Description: Apply concepts of quadratic equations to right triangle problems.

26. Polynomials of Higher Degree
    • Duration: 31 min
    • Description: Characterize polynomials and understand their properties.

• Operations and Polynomials
  • Duration: 30 min
  • Description: Apply operations on polynomials using previous techniques.

28. Rational Expressions, Part 1
    • Duration: 30 min
    • Description: Study rational functions and learn to add or subtract them.

• Rational Expressions, Part 2
  • Duration: 32 min
  • Description: Multiply and divide rational expressions.

• Graphing Rational Functions, Part 1
  • Duration: 31 min
  • Description: Identify intercepts and asymptotes of rational function graphs.

31. Graphing Rational Functions, Part 2
    • Duration: 32 min
    • Description: Sketch rational function graphs by calculating key features.

• Radical Expressions
  • Duration: 32 min
  • Description: Simplify operations on radical expressions.

• Solving Radical Equations
  • Duration: 32 min
  • Description: Solve radical equations by isolating terms.

• Graphing Radical Functions
  • Duration: 32 min
  • Description: Examine the graphs of radical functions while considering the domain.

• Sequences and Pattern Recognition, Part 1
  • Duration: 32 min
  • Description: Analyze geometric and arithmetic sequences.

• Sequences and Pattern Recognition, Part 2
  • Duration: 33 min
  • Description: Discover patterns and beauty in sequences through reasoning.