MATH 140 – High School Algebra 1

Sample Syllabus

Course Title: Algebra 1

Course Description: Algebra 1 is a foundational course in mathematics that introduces students to the principles of algebra, equations, functions, and problem-solving techniques. This course is designed to provide a solid understanding of algebraic concepts and skills necessary for success in higher-level math courses.

Course Objectives: By the end of this course, students should be able to:

  1. Solve linear equations and inequalities.
  2. Graph linear functions and relations.
  3. Manipulate algebraic expressions and polynomials.
  4. Understand and apply the properties of exponents.
  5. Solve systems of linear equations and inequalities.
  6. Work with quadratic equations and functions.
  7. Explore real-world applications of algebraic concepts.
  8. Develop critical thinking and problem-solving skills.


  • [Insert Algebra 1 Textbook Title and Author(s)]


  • Notebook or binder for class notes and assignments.
  • Graphing calculator (if required by the school or teacher).
  • Pencils, erasers, and a ruler.
  • Access to online resources (if applicable).


  • Homework/Classwork: XX%
  • Quizzes: XX%
  • Tests: XX%
  • Projects: XX%
  • Final Exam: XX%

Course Outline:

Unit 1: Introduction to Algebra

  • Understanding the real number system.
  • Properties of operations.
  • Solving basic equations and inequalities.

Unit 2: Linear Equations and Inequalities

  • Solving linear equations.
  • Graphing linear equations and inequalities.
  • Systems of linear equations.

Unit 3: Polynomials and Factoring

  • Operations with polynomials.
  • Factoring techniques.
  • Solving polynomial equations.

Unit 4: Exponents and Radicals

  • Properties of exponents.
  • Operations with radicals.
  • Rational exponents.

Unit 5: Quadratic Equations and Functions

  • Solving quadratic equations.
  • Graphing quadratic functions.
  • Quadratic formula and applications.

Unit 6: Functions and Relations

  • Understanding functions.
  • Function notation.
  • Function transformations.

Unit 7: Real-World Applications

  • Problem-solving with algebra.
  • Applications of linear and quadratic functions.

Unit 8: Review and Final Exam

Note: This syllabus is a general example and can be customized to meet the specific needs of your school or classroom. The percentages for grading and the specific textbook and materials may vary. Be sure to check with your school or district for any additional requirements or guidelines.

Free Text Book

There are several free textbooks and online resources available for studying Algebra 1. Here are a few options:

  1. “Algebra 1” by Ron Larson and Laurie Boswell (Big Ideas Learning):
  2. “Algebra 1” by CK-12:
  3. “Algebra 1” by Paul Foerster:
  4. OpenStax “Algebra and Trigonometry”:
  5. Purplemath:
    • The Purplemath website offers free lessons and tutorials on various algebra topics. While not a traditional textbook, it’s a valuable resource for learning algebra.
    • Website:

Before choosing a specific resource, you may want to browse through them to see which one aligns best with your learning style and preferences. Additionally, consider whether you prefer a traditional textbook format or an online resource with interactive elements and video lessons. These free resources can be a great starting point for your Algebra 1 studies.


As of my last knowledge update in January 2022, several Massive Open Online Course (MOOC) platforms offer free courses in Algebra 1. However, it’s important to note that course availability and offerings on these platforms may change over time. Here are some MOOC platforms that often provide free Algebra 1 courses:

  1. Khan Academy:
    • Khan Academy offers a comprehensive set of free math courses, including Algebra 1. Their courses include video lessons, practice exercises, and assessments.
    • Website:
  2. Coursera:
    • Coursera offers free courses in Algebra 1, provided by universities and institutions. While some courses offer free access to course materials, there may be fees if you want to earn a certificate.
    • Website:
  3. edX:
    • edX offers free algebra courses from universities and institutions. Similar to Coursera, you may have the option to audit courses for free or pay for a verified certificate.
    • Website:
  4. MIT OpenCourseWare (OCW):
    • MIT OCW provides free access to course materials from MIT’s Algebra 1 courses. You won’t earn a certificate, but you can access lecture notes, assignments, and more.
    • Website:
  5. OpenStax:
    • While OpenStax primarily provides free textbooks, they may partner with other organizations or platforms to offer courses based on their textbooks. Check their website for any available courses related to Algebra 1.
    • Website:

Please keep in mind that course availability and policies may change, so it’s a good idea to visit the respective websites of these MOOC platforms to check for the latest information on free Algebra 1 courses. Additionally, you can explore the specific Algebra 1 courses they offer and choose the one that best suits your learning preferences and needs.

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