Description

The Algebra and Trigonometry Content Pack is an entire OpenStax textbook that has been transformed into a turn-key Möbius online course. This customizable resource includes all traditional OpenStax features such as chapter introductions, sections, review material, and practice tests, and has been enhanced with Möbius capabilities including algorithmic questions, in-lesson questions with unlimited practice, helpful hints, and immediate feedback. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses, and is also ideal for an introductory algebra and trigonometry course. This Content Pack explores algebraic principles through a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

How does Möbius take OpenStax to the next level?

  • All chapter sections delivered as Möbius lessons with checkpoint questions embedded right inside of lessons.

  • Learn how Möbius’ unique STEM question types provide the best STEM learning experience.

  • Deliver OpenStax exercises using over 50 configurable assessment properties.

Course Structure

  • All content is organized into 14 Units for easy navigation
  • Concepts are presented across 106 Lessons that include illustrative visualizations, unlimited practice, helpful hints, and immediate feedback to promote Active Learning
  • Different forms of assessment materials are distributed across 105 Assignments to evaluate student comprehension through a variety of different question types
  • Pull from a vast selection of 3000 questions that you can use to create your own lessons and assignments or supplement existing ones
14 units
106 assignments
105 lessons
3000+ questions

Unit 1: Prerequisites

  • 1.1 Real Numbers: Algebra Essentials

  • 1.2 Exponents and Scientific Notation

  • 1.3 Radicals and Rational Expressions

  • 1.4 Polynomials

  • 1.5 Factoring Polynomials

  • 1.6 Rational Expressions

Unit 2: Equations and Inequalities

  • 2.1 The Rectangular Coordinate Systems and Graphs

  • 2.2 Linear Equations in One Variable

  • 2.3 Models and Applications

  • 2.4 Complex Numbers

  • 2.5 Quadratic Equations

  • 2.6 Other Types of Equations

  • 2.7 Linear Inequalities and Absolute Value Inequalities

Unit 3: Functions

  • 3.1 Functions and Function Notation

  • 3.2 Domain and Range

  • 3.3 Rates of Change and Behavior of Graphs

  • 3.4 Composition of Functions

  • 3.5 Transformation of Functions

  • 3.6 Absolute Value Functions

  • 3.7 Inverse Functions

Unit 4: Linear Functions

  • 4.1 Linear Functions

  • 4.2 Modeling with Linear Functions

  • 4.3 Fitting Linear Models to Data

Unit 5: Polynomial and Rational Functions

  • 5.1 Quadratic Functions

  • 5.2 Power Functions and Polynomial Functions

  • 5.3 Graphs of Polynomial Functions

  • 5.4 Dividing Polynomials

  • 5.5 Zeros of Polynomial Functions

  • 5.6 Rational Functions

  • 5.7 Inverses and Radical Functions

  • 5.8 Modeling Using Variation

Unit 6: Exponential and Logarithmic Functions

  • 6.1 Exponential Functions

  • 6.2 Graphs of Exponential Functions

  • 6.3 Logarithmic Functions

  • 6.4 Graphs of Logarithmic Functions

  • 6.5 Logarithmic Properties

  • 6.6 Exponential and Logarithmic Equations

  • 6.7 Exponential and Logarithmic Models

  • 6.8 Fitting Exponential Models to Data

Unit 7: The Unit Circle: Sine and Cosine Functions

  • 7.1 Angles

  • 7.2 Right Angle Trigonometry

  • 7.3 Unit Circle

  • 7.4 The Other Trigonometric Functions

Unit 8: Periodic Functions

  • 8.1 Graphs of the Sine and Cosine Functions

  • 8.2 Graphs of the Other Trigonometric Functions

  • 8.3 Inverse Trigonometric Functions

Unit 9: Trigonometric Identities and Equations

  • 9.1 Solving Trigonometric Equations with Identities

  • 9.2 Sum and Difference Identities

  • 9.3 Double-Angle, Half-Angle, and Reduction Formulas

  • 9.4 Sum-to-Product and Product-to-Sum Formulas

  • 9.5 Solving Trigonometric Equations

Unit 10: Further Applications of Trigonometry

  • 10.1 Non-right Triangles: Law of Sines

  • 10.2 Non-right Triangles: Law of Cosines

  • 10.3 Polar Coordinates

  • 10.4 Polar Coordinates: Graphs

  • 10.5 Polar Form of Complex Numbers

  • 10.6 Parametric Equations

  • 10.7 Parametric Equations: Graphs

  • 10.8 Vectors

Unit 11: Systems of Equations and Inequalities

  • 11.1 Systems of Linear Equations: Two Variables

  • 11.2 Systems of Linear Equations: Three Variables

  • 11.3 Systems of Nonlinear Equations and Inequalities: Two Variables

  • 11.4 Partial Fractions

  • 11.5 Matrices and Matrix Operations

  • 11.6 Solving Systems with Gaussian Elimination

  • 11.7 Solving Systems with Inverses

  • 11.8 Solving Systems with Cramer's Rule

Unit 12: Analytic Geometry

  • 12.1 The Ellipse

  • 12.2 The Hyperbola

  • 12.3 The Parabola

  • 12.4 Rotation of Axis

  • 12.5 Conic Sections in Polar Coordinates

Unit 13: Sequences, Probability and Counting Theory

  • 13.1 Sequences and Their Notations

  • 13.2 Arithmetic Sequences

  • 13.3 Geometric Sequences

  • 13.4 Series and Their Notations

  • 13.5 Counting Principles

  • 13.6 Binomial Theorem

  • 13.7 Probability

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