Algebra I

  • Linear Functions, Equations, and Inequalities

    Students use properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. Students use graphs of linear functions, key features, and related transformations to represent in multiple ways. Students solve, with and without technology, equations, inequalities, and systems of equations. Students formulate statistical relationships and evaluate their reasonableness based on real-world data.

    New TEKS:

    • Write equations of lines parallel or perpendicular to a given line, including horizontal and vertical lines
    • Write linear inequalities from a table, graph, or verbal description
    • Determine the horizontal effects on the graph of linear parents functions
    • Graph the solution set of systems of 2 linear inequalities
    • Calculate and interpret the correlation coefficient (using technology)
    • Compare and contrast association and causation in real-world problems

    Quadratic Functions and Equations

    Students use properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. Students use graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations.  Students solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions.  Students formulate statistical relationships and evaluate their reasonableness based on real-world data.

    New TEKS:

    • Write equations of quadratic functions given the vertex and another point on the graph (vertex and standard form)
    • Write quadratic functions when given real solutions and graphs of their related equations
    • Graph quadratic functions and use the graph to identify key attributes (added vertex and equation of the axis of symmetry)
    • Determine the horizontal effects on the graph of quadratic parent functions
    • Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

    Exponential Functions and Equations

    Students use properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. Students formulate statistical relationships and evaluate their reasonableness based on real-world data.

    New TEKS:

    • Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems

    Number and Algebraic Methods

    Students rewrite in equivalent forms and perform operations on polynomial expressions. Students rewrite algebraic expressions into equivalent forms. Students write, solve, analyze, and evaluate equations, relations, and functions.

    New TEKS:

    • Divide polynomials (1st and 2nd degree)
    • Simplify numerical radical expressions involving square roots
    • Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents
    • Identify terms of arithmetic and geometric sequences using recursive processes
    • Write a formula for the nth term of arithmetic and geometric sequences