Algebra and Trigonometry
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The Algebra and Trigonometry course contains 91 self-grading microlearning lessons that work instantly inside your Learning Management System (LMS).

Written and reviewed by a team of highly experienced instructors, Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. It is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the course meets the needs of a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples—usually several per lesson—offer detailed, conceptual explanations, in order to build a strong, cumulative foundation in the material before asking them to apply what they’ve learned.

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Schools can get unlimited access to every lesson in this course for their entire institution with our Microlearning Library App. Learn more.

  • Real Numbers: Algebra Essentials
  • Exponents and Scientific Notation
  • Radicals and Rational Exponents
  • Polynomials
  • Factoring Polynomials
  • Rational Expressions
  • Final Assessment
  • The Rectangular Coordinate Systems and Graphs
  • Linear Equations in One Variable
  • Models and Applications
  • Complex Numbers
  • Quadratic Equations
  • Other Types of Equations
  • Linear Inequalities and Absolute Value Inequalities
  • Final Assessment
  • Functions and Function Notation
  • Domain and Range
  • Rates of Change and Behavior of Graphs
  • Composition of Functions
  • Transformation of Functions
  • Absolute Value Functions
  • Inverse Functions
  • Final Assessment
  • Linear Functions
  • Modeling with Linear Functions
  • Fitting Linear Models to Data
  • Final Assessment
  • Quadratic Functions
  • Power Functions and Polynomial Functions
  • Graphs of Polynomial Functions
  • Dividing Polynomials
  • Zeros of Polynomial Functions
  • Rational Functions
  • Inverses and Radical Functions
  • Modeling Using Variation
  • Final Assessment
  • Exponential Functions
  • Graphs of Exponential Functions
  • Logarithmic Functions
  • Graphs of Logarithmic Functions
  • Logarithmic Properties
  • Exponential and Logarithmic Equations
  • Exponential and Logarithmic Models
  • Fitting Exponential Models to Data
  • Final Assessment
  • Angles
  • Right Triangle Trigonometry
  • Unit Circle
  • The Other Trigonometric Functions
  • Final Assessment
  • Graphs of the Sine and Cosine Functions
  • Graphs of the Other Trigonometric Functions
  • Inverse Trigonometric Functions
  • Final Assessment
  • Solving Trigonometric Equations with Identities
  • Sum and Difference Identities
  • Double-Angle, Half-Angle, and Reduction Formulas
  • Sum-to-Product and Product-to-Sum Formulas
  • Solving Trigonometric Equations
  • Final Assessment


  • Non-right Triangles: Law of Sines
  • Non-right Triangles: Law of Cosines
  • Polar Coordinates
  • Polar Coordinates: Graphs
  • Polar Form of Complex Numbers
  • Parametric Equations
  • Parametric Equations: Graphs
  • Vectors
  • Final Assessment
  • Systems of Linear Equations: Two Variables
  • Systems of Linear Equations: Three Variables
  • Systems of Nonlinear Equations and Inequalities: Two Variables
  • Partial Fractions
  • Matrices and Matrix Operations
  • Solving Systems with Gaussian Elimination
  • Solving Systems with Inverses
  • Solving Systems with Cramer’s Rule
  • Final Assessment
  • The Ellipse
  • The Hyperbola
  • The Parabola
  • Rotation of Axes
  • Conic Sections in Polar Coordinates
  • Final Assessment
  • Sequences and Their Notations
  • Arithmetic Sequences
  • Geometric Sequences
  • Series and Their Notations
  • Counting Principles
  • Binomial Theorem
  • Probability
  • Final Assessment

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