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Algebra 1 (TX TEKS) IMRA 2026 publisher-initiated changes

11 units281 videos25 hours

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Unit 1: Linear expressions, equations, and inequalities

Overview and history of algebra

Distributive property with variables

The distributive property & equivalent expressions

Combining like terms

Linear equations with variables on both sides

Linear equations with parentheses

Multi-step inequalities

Add and subtract polynomials of degree one and two

Divide polynomials of degree one

Division by zero

Linear equations with unknown coefficients

Manipulating formulas

Unit 2: Introduction to functions

Recognizing functions

Evaluating functions

Introduction to the domain and range of a function

Domain and range with inequalities

Unit 3: Investigation of linear functions and inequalities with two variables

Slope

Horizontal & vertical lines

Function transformations

x-intercepts and y-intercepts

Intro to slope-intercept form

Graphing slope-intercept equations

Writing slope-intercept equations

Writing linear equations from tables

Standard form

Graphing two-variable inequalities

Writing two-variable inequalities from tables and graphs

Modeling with linear inequalities

Unit 4: Application of linear functions

Direct proportions

Point-slope form

Equations of parallel & perpendicular lines

Forms of two-variable linear equations

Determining the domain and range of a function

Applying intercepts and slope

Constructing linear models for real-world relationships

Linear equations from verbal descriptions

Linear equation word problems

Correlation coefficient intuition

Correlation in statistics

Estimating lines of best fit

Unit 5: Systems of linear equations and inequalities

Introduction to systems of equations

Number of solutions to systems of equations

Write a system of equations from a table or graph

Systems of equations from context

Interpreting points relative to a system of equations

Solving systems of equations with substitution

Solving systems of equations with elimination

Equivalent systems of equations

Systems of equations word problems

Graphing systems of two-variable inequalities

Unit 6: Properties of expressions and factoring

Add and subtract polynomials of degree two

Multiplying monomials by polynomials

Multiplying binomials

Special products of binomials

Multiplying polynomials of degree two

Introduction to factoring

Factoring quadratics intro

Factoring quadratics by grouping

Factoring quadratics with perfect squares

Factoring quadratics with difference of squares

Strategy in factoring quadratics

Dividing quadratics by linear factors

Unit 7: Properties of exponents

Exponent properties intro

Negative exponents

Exponent properties review

Properties of rational exponents

Simplify rational exponents

Unit 8: Quadratic equations and simplification of radical expressions

Simplifying square roots

Solving by taking the square root

Solving quadratics by factoring

Completing the square intro

More on completing the square

The quadratic formula

Unit 9: Investigation and application of quadratic functions

Intro to parabolas

Solving and graphing with factored form

Vertex form

Writing quadratics from vertex

Quadratic standard form

Quadratic functions from solutions or a graph

Features & forms of quadratic functions

Comparing quadratic functions

Transforming quadratic functions

Writing quadratics to fit data

Unit 10: Investigation and application of exponential functions

Exponential vs. linear growth

Exponential expressions

Interpreting exponential expression word problems

Graphs of exponential growth

Exponential growth & decay

Writing functions with exponential decay

Exponential functions from tables & graphs

Identifying key features of exponential functions

Identifying key features of exponential functions in real world problems

Linear vs. exponential models

Exponential models

Unit 11: Arithmetic and geometric sequences

Introduction to arithmetic sequences

Introduction to geometric sequences

Graphing arithmetic and geometric sequences

Constructing arithmetic sequences

Constructing geometric sequences

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