Algebra 1

Algebra 1 is a complete high school algebra curriculum that is 100% aligned with the Texas Essential Knowledge and Skills (TEKS) and the English Language Proficiency Standards (ELPS). OpenStax Algebra 1 is a high-quality instructional material (HQIM) that is flexible enough for core adoption and adaptable enough to support a wide range of teaching strategies and student needs. Algebra 1 is a research-backed curriculum designed to strengthen teaching and learning in all classrooms.

The OpenStax Algebra 1 curriculum is structured across nine units that guide students from linear to exponential to quadratic functions, emphasizing how these patterns differ. Students explore mathematical relationships through tables, equations, graphs, and real-world contexts, beginning with patterns of repeated addition or subtraction (linear), moving into multiplication or division (exponential), and culminating in models that both increase and decrease (quadratic). Each unit includes a readiness pre-assessment, multiple content sections, section assessments, and ends with a project, quizzes, and a wrap-up. The curriculum is designed to support coherent instruction, continuous assessment, and student engagement throughout the school year.

Through our free, digital teacher guide (available within the “instructor resources” section of the website), teachers receive clear learning targets, prerequisite skill guidance, videos, and a breakdown of the Texas Essential Knowledge and Skills (TEKS) addressed in every lesson.

Algebra 1 was authored by OpenStax and is based, in part, on the OpenStax Pre Algebra, Elementary Algebra, Intermediate Algebra, and College Algebra materials, and the IM 6-12TM by Illustrative Mathematics®. Based on OpenStax’s open (CC-BY-NC-SA) license, educators may remix and reuse the elements and content in Algebra 1 according to their approach and learning objectives. OpenStax textbooks are always available free online at openstax.org.

Senior Contributing Authors

Lynn Marecek, Santa Ana College
MaryAnne Anthony-Smith, Formerly of Santa Ana College
Andrea Honeycutt Mathis, Northeast Mississippi Community College
Jay Abramson, Arizona State University
Sharon North, St. Louis Community College
Amy Baldwin, University of Central Arkansas
Alyssa Howell, OpenStax, Rice University

Unit 1: Linear Equations
• Unit 1 Overview and Readiness
• Lessons 1.1–1.15 (Exploring Expressions, Writing Equations, Solutions, Graphs, Equivalent Equations, Variables, Slope, Lines)
• Project 1: Slopes and Intercepts
• Unit 1 Wrap Up

Unit 2: Linear Inequalities and Systems
• Unit 2 Overview and Readiness
• Lessons 2.1–2.15 (Systems of Equations, Substitution, Elimination, Inequalities, Graphing, Real-World Applications)
• Project 2: Modeling with Systems of Inequalities
• Unit 2 Wrap Up

Unit 3: Two-Variable Statistics
• Unit 3 Overview and Readiness
• Lessons 3.1–3.6 (Scatter Plots, Linear Models, Residuals, Correlation Coefficient, Causal Relationships)
• Project 3: Two-Variable Statistics
• Unit 3 Wrap Up

Unit 4: Functions
• Inquiry Project: Defining Functions
• Unit 4 Overview and Readiness
• Lessons 4.1–4.18 (Graphs, Function Notation, Rules, Features, Slope, Rate of Change, Sequences)
• Project 4: Using Functions to Model Battery Power
• Unit 4 Wrap Up

Unit 5: Introduction to Exponential Functions
• Unit 5 Overview and Readiness
• Lessons 5.1–5.15 (Exponents, Rational Exponents, Growth and Decay, Graphing, Modeling, Comparing Functions)
• Project 5: Introduction to Exponential Functions
• Unit 5 Wrap Up

Unit 6: Working with Polynomials
• Unit 6 Overview and Readiness
• Inquiry Project: Area Model Multiplication
• Lessons 6.1–6.7 (Add, Subtract, Multiply, Divide Polynomials, Factoring Strategies)
• Project 6: Polynomials and Rectangles
• Unit 6 Wrap Up

Unit 7: Introduction to Quadratic Functions
• Unit 7 Overview and Readiness
• Lessons 7.1–7.17 (Quadratic Relationships, Forms, Graphing, Transformations, Comparing with Other Functions)
• Project 7: Design a Fountain
• Unit 7 Wrap Up

Unit 8: Quadratic Equations
• Unit 8 Overview and Readiness
• Lessons 8.1–8.12 (Modeling, Solving Quadratics, Factored Form, Technology Use, Regression)
• Project 8: Modeling Rocket Flight
• Unit 8 Wrap Up
Unit 9: More Quadratic Equations
• Unit 9 Overview and Readiness
• Lessons 9.1–9.11 (Perfect Squares, Completing the Square, Quadratic Formula, Vertex Form, Applications)
• Project 9: Using Quadratic Equations to Model Situations and Solve Problems
• Unit 9 Wrap Up