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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

35-50 minutes per unit

What You Will Learn

High School Credit

Earns 1.0 HS math credit on transcript. Same TEKS as high school Algebra I, scaffolded for 13-14 year olds.

Functions & Modeling

Linear, quadratic, and exponential functions. Real-world applications and mathematical modeling.

TEKS §111.39 Aligned

Covers Texas Essential Knowledge and Skills for Algebra I.

All Units

Foundations: Variables and Equations

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

•Write and evaluate algebraic expressions using variables
•Translate verbal descriptions into algebraic expressions and equations
•Identify the parts of an expression: terms, coefficients, constants
+1 more objectives

Real Number Properties

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

•Classify real numbers as natural, whole, integer, rational, or irrational
•Apply the commutative, associative, distributive, and identity properties
•Simplify algebraic expressions by combining like terms
+1 more objectives

Solving Linear Equations

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

•Solve one-step and multi-step linear equations using inverse operations
•Solve equations with variables on both sides
•Identify equations with no solution or infinitely many solutions
+1 more objectives

Linear Inequalities

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

•Solve and graph single linear inequalities on a number line
•Apply the rule for reversing the inequality symbol when multiplying or dividing by a negative
•Solve and graph compound inequalities joined by 'and' or 'or'
+1 more objectives

Linear Functions and Graphs

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

•Calculate slope from two points and interpret it as a rate of change
•Graph linear equations in slope-intercept and standard form
•Write linear equations given slope and a point, or two points
+1 more objectives

Systems of Linear Equations

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

•Solve systems of equations by graphing and identify the solution as an intersection point
•Solve systems using the substitution method
•Solve systems using the elimination (linear combination) method
+1 more objectives

Exponents and Polynomials

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

•Apply product, quotient, power, zero, and negative exponent rules
•Simplify expressions using scientific notation
•Classify polynomials by degree and number of terms
+1 more objectives

Factoring Polynomials

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

•Factor out the greatest common factor from polynomials
•Factor trinomials of the form x² + bx + c and ax² + bx + c
•Recognize and factor difference of squares and perfect square trinomials
+1 more objectives

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.

•Identify key features of a parabola: vertex, axis of symmetry, direction of opening, and intercepts
•Graph quadratic functions in standard form and vertex form
•Describe transformations of the parent quadratic f(x) = x² including shifts, reflections, and stretches
+1 more objectives

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.

•Solve quadratic equations by factoring using the Zero Product Property
•Solve equations of the form ax² = c by taking square roots
•Apply the quadratic formula to solve any quadratic equation
+1 more objectives

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.

•Identify and graph exponential functions of the form f(x) = abˣ
•Distinguish exponential growth (b > 1) from exponential decay (0 < b < 1)
•Apply the compound interest formula to financial problems
+1 more objectives

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.

•Identify whether a sequence is arithmetic, geometric, or neither
•Write explicit and recursive rules for arithmetic and geometric sequences
•Connect arithmetic sequences to linear functions and geometric sequences to exponential functions
+1 more objectives

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.

•Create scatter plots and describe the direction, form, and strength of association
•Fit a line of best fit to bivariate data and write its equation
•Use the correlation coefficient r to measure the strength and direction of a linear association
+1 more objectives

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.

•Identify which function type best models a given situation based on data patterns or contextual features
•Build, interpret, and use mathematical models to answer questions about realistic scenarios
•Evaluate the limitations and assumptions of a mathematical model
+1 more objectives

Algebra I (HS Credit). For accelerated 8th graders. TEKS §111.39 aligned. Prerequisite: Accelerated Math — Year 2.