Curriculum Map

Algebra I (HS Credit)

A complete high school Algebra I course scaffolded for accelerated 8th graders. Covers linear equations, systems, polynomials, factoring, quadratic functions, exponential growth, sequences, and mathematical modeling. Earns 1.0 high school math credit. TEKS §111.39 aligned.

14 Units

Early Units (Foundation)

Building Skills

Advanced Concepts

Capstone/Synthesis

Foundations: Variables and Equations

Build fluency with variables, algebraic expressions, and the structure of equations as the language of algebra.

3-4 days

Real Number Properties

Understand the real number system, apply properties of operations to simplify expressions, and develop fluency with combining like terms.

3-4 days

Solving Linear Equations

Develop systematic methods for solving one-variable linear equations, including multi-step equations with variables on both sides.

4-5 days

Linear Inequalities

Solve and graph one-variable linear inequalities, compound inequalities, and absolute value inequalities, interpreting solutions in real contexts.

3-4 days

Linear Functions and Graphs

Master slope-intercept, point-slope, and standard forms of linear equations; graph lines; and interpret slope and intercepts in context.

4-5 days

Systems of Linear Equations

Solve systems of two linear equations using graphing, substitution, and elimination, and interpret solutions in real-world contexts.

4-5 days

Exponents and Polynomials

Apply the laws of exponents, simplify exponential expressions, classify polynomials, and perform polynomial addition, subtraction, and multiplication.

4-5 days

Factoring Polynomials

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

4-5 days

Quadratic Functions and Parabolas

Graph quadratic functions in vertex, standard, and intercept forms; identify the vertex, axis of symmetry, and direction of opening; 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; interpret solutions as zeros and understand when equations have no real solutions.

4-5 days

Exponential Functions

Explore exponential growth and decay functions, graph transformations of f(x) = bˣ, and apply exponential models to compound interest, population growth, and radioactive decay.

3-4 days

Sequences: Arithmetic and Geometric

Write explicit and recursive formulas for arithmetic and geometric sequences, identify which type a sequence represents, and connect sequences to linear and exponential functions.

3-4 days

Statistics and Data Analysis

Analyze bivariate data by creating scatter plots, identifying correlation, fitting lines of best fit, and using linear regression to make predictions; distinguish correlation from causation.

3-4 days

Capstone: Mathematical Modeling

Synthesize the algebra course by selecting and applying the appropriate function type — linear, quadratic, or exponential — to model and solve real-world problems; evaluate model assumptions and communicate conclusions.

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.