Standardized Test Preparation
TEKS (Texas Essential Knowledge and Skills)
References: Texas Education Agency : STAAR Released Tests |
Algebra I - Grade 9
Assessment Exam - TEKS Algebra I| Mathematical process standards | eTAP Lesson |
|---|---|
| The student uses mathematical processes to acquire and demonstrate mathematical understanding. | |
| Apply mathematics to problems arising in everyday life, society, and the workplace
TX.MATH.111.39.1.A |
Changing Words into Math |
| Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
TX.MATH.111.39.1.B |
Setting Up and Solving Equations |
| Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems
TX.MATH.111.39.1.C |
The Branches of Mathematics Mathematical Modeling |
| Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
TX.MATH.111.39.1.D |
Showing the Overlap with Venn Diagrams What is a Function? |
| Create and use representations to organize, record, and communicate mathematical ideas
TX.MATH.111.39.1.E |
Ratios and Proportions |
| Analyze mathematical relationships to connect and communicate mathematical ideas
TX.MATH.111.39.1.F |
The Application of Equation Rules to Formulas |
| Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
TX.MATH.111.39.1.G |
The Application of Formulas to Partial and Irregular Figures |
| Linear functions, equations, and inequalities | eTAP Lesson |
| The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. | |
| Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities
TX.MATH.111.39.2.A |
Ordered Pairs |
| Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points
TX.MATH.111.39.2.B |
Simultaneous Equations |
| Write linear equations in two variables given a table of values, a graph, and a verbal description
TX.MATH.111.39.2.C |
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| Write and solve equations involving direct variation
TX.MATH.111.39.2.D |
Direct and Inverse Variation |
| Write the equation of a line that contains a given point and is parallel to a given line
TX.MATH.111.39.2.E |
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| Write the equation of a line that contains a given point and is perpendicular to a given line
TX.MATH.111.39.2.F |
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| Write the equation of a line that contains a given point and is perpendicular to a given line
TX.MATH.111.39.2.G |
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| Write linear inequalities in two variables given a table of values, a graph, and a verbal description
TX.MATH.111.39.2.H |
Graphing Systems of Inequalities |
| Write systems of two linear equations given a table of values, a graph, and a verbal description
TX.MATH.111.39.2.I |
Graphing Systems of Equations |
| The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. | |
| 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)
TX.MATH.111.39.3.A |
Slope of a Line |
| Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems
TX.MATH.111.39.3.B |
Determine the Equation from a Relation |
| Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problem
TX.MATH.111.39.3.C |
Slope Intercept Form of Equations |
| Graph the solution set of linear inequalities in two variables on the coordinate plane
TX.MATH.111.39.3.D |
Slope Intercept Form of Equations |
| 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.MATH.111.39.3.E |
Determine the Equation from a Relation |
| Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist
TX.MATH.111.39.3.F |
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| Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems
TX.MATH.111.39.3.G |
How to Use Graphs |
| Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane
TX.MATH.111.39.3.H |
Visually Representing Numerical Data |
| The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data. | |
| 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.MATH.111.39.4.A |
Direct Variation |
| Compare and contrast association and causation in real-world problems
TX.MATH.111.39.4.B |
Open Sentences |
| 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.MATH.111.39.4.C |
Open Sentences |
| The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. | |
| 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.MATH.111.39.5.A |
Factoring with the Distributive Property |
| 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.MATH.111.39.5.B |
Distributive and Additive Identity, Multiplicative Identity Property and Properties of Equality |
| Solve systems of two linear equations with two variables for mathematical and real-world problems
TX.MATH.111.39.5.C |
Why Do We Need Two Equations? |
| Quadratic functions and equations | eTAP Lesson |
| The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. | |
| Determine the domain and range of quadratic functions and represent the domain and range using inequalities
TX.MATH.111.39.6.A |
Solving Quadratic Equations |
| 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) = ax2+ bx + c)
TX.MATH.111.39.6.B |
Quadratic Formula |
| Write quadratic functions when given real solutions and graphs of their related equations
TX.MATH.111.39.6.C |
Graphing Quadratic Functions |
| The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. | |
| 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
TX.MATH.111.39.7.A |
Solving Quadratic Equations by Graphing |
| Dscribe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions
TX.MATH.111.39.7.B |
Quadratic Formula |
| Determine the effects on the graph of the parent function f(x) = x2 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.MATH.111.39.7.C |
Functions as Graphs in the Coordinate System |
| The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. | |
| Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula
TX.MATH.111.39.8.A |
Completing the Square |
| Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems
TX.MATH.111.39.8.B |
Quadratic Word Problems |
| Exponential functions and equations | eTAP Lesson |
| The student applies the mathematical process standards when using 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. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. | |
| Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalitie
TX.MATH.111.39.9.A |
Exponential Functions and Data |
| Interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems
TX.MATH.111.39.9.B |
Graphs of Exponential Functions |
| Write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay
TX.MATH.111.39.9.C |
Functions |
| Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems
TX.MATH.111.39.9.D |
Seeking Trends with Line Graphs |
| Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems
TX.MATH.111.39.9.E |
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| Number and algebraic methods | eTAP Lesson |
| The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. | |
| Add and subtract polynomials of degree one and degree two
TX.MATH.111.39.10.A |
Solving Equations by Addition and Subtraction |
| Multiply polynomials of degree one and degree two
TX.MATH.111.39.10.B |
Solving Equations by Multiplication and Division |
| 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.MATH.111.39.10.C |
Dividing Polynomials |
| Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property
TX.MATH.111.39.10.D |
Simplifying Rational Expressions |
| Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two
TX.MATH.111.39.10.E |
Factoring Trinomials |
| 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.MATH.111.39.10.F |
Factoring Differences of Squares |
| The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. | |
| Simplify numerical radical expressions involving square roots
TX.MATH.111.39.11.A |
Simplifying Square Roots |
| Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents
TX.MATH.111.39.11.B |
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| The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. | |
| Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function
TX.MATH.111.39.12.A |
Determine the Equation from a Relation |
| Evaluate functions, expressed in function notation, given one or more elements in their domains
TX.MATH.111.39.12.B |
Function Notation |
| Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes
TX.MATH.111.39.12.C |
Recursion Arithmetic and Geometric Series |
| Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms
TX.MATH.111.39.12.D |
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| Solve mathematic and scientific formulas, and other literal equations, for a specified variable
TX.MATH.111.39.12.E |
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