Category: Algebra I TEKS

Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function.

Evaluate functions, expressed in function notation, given one or more elements in their domains.

Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes.

Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms.

Solve mathematic and scientific formulas, and other literal equations, for a specified variable.

Simplify numerical radical expressions involving square roots.

Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

Add and subtract polynomials of degree one and degree two.

Multiply polynomials of degree one and degree two.

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.

Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property.

Factor if possible trinomials with real factors in the form ax^2 + bx + c including perfect square trinomials of degree two.

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.

Determine the domain and range of exponential functions of the form f(x) =ab^x and represent the domain and range using inequalities.

Interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems.

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 including growth and decay.

Graph exponential functions that model growth and decay and identify key features including y-intercept and asymptote in mathematical and real-world problems.

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

Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.

Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes if possible including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry.

Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions.

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.

Determine the domain and range of quadratic functions and represent the domain and range using inequalities.

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).

Write quadratic functions when given real solutions and graphs of their related equations.

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.

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.

Solve systems of two linear equations with two variables for mathematical and real-world problems.

Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association.

Compare and contrast association and causation in real-world problems.

Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

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 including y = mx +b, Ax + By = C, and y – y1 = m(x – x1).

Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems.

Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.

Graph the solution set of linear inequalities in two variables on the coordinate plane.

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.

Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.

Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems.

Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.