TexasAlgebra I Course - Texas Curriculum
Comprehensive Algebra I courses aligned with Texas Essential Knowledge and Skills (TEKS). Master linear functions, quadratics, exponentials, and polynomial operations through structured learning pathways.
Texas Algebra I Course CurriculumHelp
ID | Standard | StudyPug Topic |
|---|---|---|
TX.A1.2.A | Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations |
TX.A1.2.B | Write linear equations in two variables in various forms, given one point and the slope and given two points |
TX.A1.2.C | Write linear equations in two variables given a table of values, a graph, and a verbal description |
TX.A1.2.D | Write and solve equations involving direct variation |
TX.A1.2.E | Write the equation of a line that contains a given point and is parallel to a given line |
TX.A1.2.F | Write the equation of a line that contains a given point and is perpendicular to a given line |
TX.A1.2.G | Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined |
TX.A1.2.H | Write linear inequalities in two variables given a table of values, a graph, and a verbal description |
TX.A1.2.I | Write systems of two linear equations given a table of values, a graph, and a verbal description |
TX.A1.3.A | Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms |
TX.A1.3.B | Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems |
TX.A1.3.C | Graph linear functions on the coordinate plane and identify key features |
TX.A1.3.D | Graph the solution set of linear inequalities in two variables on the coordinate plane |
TX.A1.3.E | Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d |
TX.A1.3.F | Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist |
TX.A1.3.G | Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems |
TX.A1.3.H | Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane |
TX.A1.4.A | Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association |
TX.A1.4.C | Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems |
TX.A1.5.A | Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides |
TX.A1.5.B | Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides |
TX.A1.5.C | Solve systems of two linear equations with two variables for mathematical and real-world problems |
TX.A1.6.A | Determine the domain and range of quadratic functions and represent the domain and range using inequalities |
TX.A1.6.B | Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)^2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax^2 + bx + c) |
TX.A1.6.C | Write quadratic functions when given real solutions and graphs of their related equations |
TX.A1.7.A | Graph quadratic functions on the coordinate plane and use the graph to identify key attributes |
TX.A1.7.B | Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions |
TX.A1.7.C | Determine the effects on the graph of the parent function f(x) = x^2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d |
TX.A1.8.A | Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula |
TX.A1.8.B | Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems |
TX.A1.9.A | Determine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities |
TX.A1.9.B | Interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems |
TX.A1.9.C | Write exponential functions in the form f(x) = ab^x (where b is a rational number) to describe problems arising from mathematical and real-world situations |
TX.A1.9.D | Graph exponential functions that model growth and decay and identify key features |
TX.A1.9.E | Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems |
TX.A1.10.A | Add and subtract polynomials of degree one and degree two |
TX.A1.10.B | Multiply polynomials of degree one and degree two |
TX.A1.10.C | Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend |
TX.A1.10.D | Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property |
TX.A1.10.E | Factor, if possible, trinomials with real factors in the form ax^2 + bx + c, including perfect square trinomials of degree two |
TX.A1.10.F | Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial |
TX.A1.11.A | Simplify numerical radical expressions involving square roots |
TX.A1.11.B | Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents |
TX.A1.12.A | Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function |
TX.A1.12.B | Evaluate functions, expressed in function notation, given one or more elements in their domains |
TX.A1.12.C | Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes |
TX.A1.12.D | Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms |
TX.A1.12.E | Solve mathematic and scientific formulas, and other literal equations, for a specified variable |