Writing, graphing and solving linear equations, inequalities and systems, and modeling with linear functions.
A.2 Linear functions, equations, and inequalities: writing linear equations, inequalities, and systems in several forms, with or without technology
A.2A For a linear function, find domain and range, pick sensible values for continuous and discrete real situations, and write them as inequalities
A.2B Write two-variable linear equations in slope-intercept, standard, and point-slope forms from a point and slope or from two points
A.2C Write two-variable linear equations from a table, a graph, or a word description
A.2D Write and solve direct variation equations
A.2E Write the equation of the line through a given point that runs parallel to a given line
A.2F Given a point and a line, write the equation of the line through the point at right angles to the line
A.2G Write equations of horizontal and vertical lines and tell whether each has zero or undefined slope
A.2H Write two-variable linear inequalities from a table, a graph, or a word description
A.2I Write a system of two linear equations from a table, a graph, or a word description
A.3 Linear functions, equations, and inequalities: using graphs, key features, and transformations of linear functions to solve equations, inequalities, and systems
A.3A Find a line's slope from a table, graph, two points, or an equation in slope-intercept, standard, or point-slope form
A.3B For a linear function shown in a table, graph, or equation, compute the rate of change in math and real-world contexts
A.3C Graph linear functions and name key features (x-intercept, y-intercept, zeros, slope) in math and real-world problems
A.3D Graph the solution region of a two-variable linear inequality on the coordinate plane
A.3E Describe how f(x) = x is transformed by f(bx), f(x - c), f(x) + d, and af(x), using chosen numbers for a, b, c, and d
A.3F Graph a pair of linear equations in two variables together and find any solutions
A.3G Estimate from a graph the solutions of two-variable linear systems arising in real-world problems
A.3H Graph the solution region of a pair of linear inequalities in two variables
A.4 Linear functions, equations, and inequalities: modeling statistical relationships in real data and judging whether the models make sense
A.4A Use technology to compute the correlation coefficient for two quantitative variables and read it as the strength of linear association
A.4B Contrast association with causation in real-world situations
A.4C Write linear functions that reasonably fit data, with or without technology, to estimate and predict in real-world problems
A.5 Linear functions, equations, and inequalities: solving linear equations, with or without technology, and checking that answers are reasonable
A.5A Solve one-variable linear equations, including ones needing the distributive property or with variables on both sides
A.5B Solve one-variable linear inequalities, including ones needing the distributive property or with variables on both sides
A.5C Solve a pair of linear equations in two variables, in math and real-world problems
Quadratic Functions and Equations
Graphing quadratic functions, finding their key features, and solving quadratic equations.
A.6 Quadratic functions and equations: writing quadratic equations in several ways from the properties of quadratic functions
A.6A Find domain and range for quadratic functions and write both as inequalities
A.6B Given a quadratic's vertex and one more point on its graph, write the function in vertex form, written f(x) = a(x − h)² + k, then rewrite it in standard form, f(x) = ax² + bx + c
A.6C Write quadratic functions from real solutions and from graphs of the related equations
A.7 Quadratic functions and equations: using graphs of quadratics and their transformations to find equation solutions
A.7A Graph quadratic functions and read key attributes where possible: intercepts, zeros, maximum or minimum, vertex, and axis of symmetry equation
A.7B Explain how the linear factors of a quadratic expression relate to the zeros of the quadratic function
A.7C Describe how f(x) = x^2 is transformed by f(bx), f(x - c), f(x) + d, and af(x), using chosen numbers for a, b, c, and d
A.8 Quadratic functions and equations: solving quadratic equations, checking reasonableness, and modeling statistical relationships in real data
A.8A Solve quadratic equations with real solutions by factoring, square roots, completing the square, or the quadratic formula
A.8B Use technology to write quadratic functions that reasonably fit data for estimates and predictions in real-world problems
Exponential Functions and Equations
Exponential growth and decay, and writing and graphing exponential functions.
A.9 Exponential functions and equations: writing, graphing, and representing exponential equations and transformations, checking solutions, and modeling real data
A.9A Find domain and range for exponential functions f(x) = ab^x and write both as inequalities
A.9B Explain what a and b mean in exponential functions f(x) = ab^x within real-world problems
A.9C Write exponential functions f(x) = ab^x with rational b for math and real-world situations, growth and decay included
A.9D Graph exponential growth and decay models and name key features, including the y-intercept and asymptote
A.9E Use technology to write exponential functions that reasonably fit data and make predictions in real-world problems
Number and Algebraic Methods
Operating on polynomials, factoring, simplifying radicals and exponents, and arithmetic and geometric sequences.
A.10 Number and algebraic methods: rewriting polynomial expressions in equivalent forms and operating on them
A.10A Perform addition and subtraction on polynomials of degree one or two
A.10B Find products of polynomials of degree one or two
A.10C Divide a degree-one or degree-two polynomial by a degree-one or degree-two polynomial, with the divisor no higher in degree than the dividend
A.10D Use the distributive property to rewrite degree-one and degree-two polynomials in equivalent forms
A.10E Factor trinomials ax^2 + bx + c when real factors exist, including perfect square trinomials
A.10F Decide whether a binomial is a difference of two squares and, when it is, rewrite it by that structure
A.11 Number and algebraic methods: using algebraic methods to rewrite expressions in equivalent forms
A.11A Simplify numerical expressions with square-root radicals
A.11B Simplify numeric and algebraic expressions with the laws of exponents, covering integer and rational exponents
A.12 Number and algebraic methods: writing, solving, analyzing, and evaluating equations, relations, and functions
A.12A Decide if a relation given in words, a table, a graph, or symbols is a function
A.12B Evaluate functions in function notation for given inputs from the domain
A.12C Using recursion, find terms in arithmetic and geometric sequences given as functions
A.12D Write the formula for the nth term of an arithmetic or geometric sequence from several known terms
A.12E Rearrange math and science formulas and other literal equations to isolate a chosen variable
Mathematical Process Standards
The ways students do math at every grade: problem solving, choosing tools, communicating and justifying reasoning.
A.1 Mathematical process standards: using math processes to build and show understanding
A.1A Use math to solve problems from daily life, society, and work
A.1B Solve problems with a model of analyzing information, planning, finding and justifying a solution, then reviewing the process and whether the answer makes sense
A.1C Choose suitable tools (objects, manipulatives, paper, technology) and techniques (mental math, estimation, number sense) for solving problems
A.1D Explain mathematical ideas, reasoning, and consequences through symbols, diagrams, graphs, and words
A.1E Make representations, then use them to organize, record, and share mathematical ideas
A.1F Analyze mathematical relationships to link ideas and explain them
A.1G Show, explain, and defend mathematical ideas and arguments in speech or writing with exact mathematical vocabulary
There are 56 TEKS Algebra I Standards on this page, in 5 strands: Linear Functions, Equations, and Inequalities, Quadratic Functions and Equations, Exponential Functions and Equations, Number and Algebraic Methods, and Mathematical Process Standards.
How do I write an assessment for an Algebra I TEKS Math standard?
Pick a standard on this page and choose Make a quiz or Make an exit ticket. AssessmentWiz opens the generator with the standard's code and text filled in, so every question targets that standard.
What does a code like A.2A mean?
TEKS course codes read course, knowledge and skills statement, student expectation. In A.2A, the letter before the period names the course (A is Algebra I, G is Geometry), the number is the knowledge and skills statement, and the final letter is the student expectation under it.