Curriculum Map

Algebra I

Master the language of algebra — linear equations, inequalities, systems, polynomials, factoring, quadratic functions, exponential growth, and mathematical modeling. Interactive Desmos explorations bring abstract concepts to life. TEKS §111.39 aligned.

14 Units

Early Units (Foundation)

Building Skills

Advanced Concepts

Capstone/Synthesis

Foundations: Variables and Expressions

Build fluency with variables, algebraic expressions, order of operations, and translating between verbal descriptions and algebraic notation.

3-4 days

The Real Number System

Explore the real number system, master the properties of operations, and understand absolute value as distance from zero.

3-4 days

Solving Linear Equations

Master solving linear equations from one-step through multi-step, including variables on both sides and special cases of identity and no-solution equations.

4-5 days

Linear Inequalities

Solve and graph one-variable linear inequalities, compound inequalities, and absolute value inequalities on the number line.

3-4 days

Linear Functions and Graphs

Master slope, slope-intercept form, point-slope form, and standard form; graph lines; and understand parallel and perpendicular relationships.

4-5 days

Systems of Equations

Solve systems of two linear equations by graphing, substitution, and elimination; classify systems by the number of solutions.

4-5 days

Exponents and Polynomials

Master the laws of exponents, work with scientific notation, and perform polynomial operations including addition, subtraction, and multiplication.

4-5 days

Factoring

Factor polynomials using the greatest common factor, trinomial methods, and special patterns including difference of squares, perfect square trinomials, and sum/difference of cubes.

4-5 days

Quadratic Functions

Graph quadratic functions in standard and vertex form, identify the vertex, axis of symmetry, direction of opening, and intercepts, and apply transformations to the parent function f(x) = x².

4-5 days

Solving Quadratic Equations

Solve quadratic equations by factoring, taking square roots, completing the square, and applying the quadratic formula; use the discriminant to predict the number and type of solutions.

5-6 days

Exponential Functions

Explore exponential growth and decay, graph exponential functions, apply the compound interest formula, and distinguish exponential change from linear and quadratic change.

4-5 days

Sequences and Series

Identify, write explicit and recursive formulas for arithmetic and geometric sequences, connect sequences to linear and exponential functions, and apply sequence models to real-world patterns.

4-5 days

Data Analysis and Statistics

Analyze data using measures of center and spread, create scatter plots, identify correlation, fit lines of best fit, interpret two-way frequency tables, and distinguish correlation from causation.

4-5 days

Algebra I Capstone

Synthesize the entire Algebra I course by reviewing function families, selecting appropriate models for real-world situations, and solving multi-step problems that integrate linear, quadratic, and exponential reasoning.

4-5 days

Learning Progression

This course is designed to be taken sequentially. Earlier units establish foundational concepts that later units build upon. While you can explore units in any order, following the numbered sequence provides the most coherent learning experience.