Skill plan for the Redesigned STAAR - Algebra 1
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Number and Algebraic Methods
The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions.
A1.10.E: Factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two.
A1.10.E: Factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two.
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The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms.
A1.11.B: Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
Integral exponents
Rational exponents
Laws of exponents with integral exponents
Laws of exponents with rational exponents
Numeric expressions
Monomial expressions
A1.11.B: Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
Integral exponents
Rational exponents
Laws of exponents with integral exponents
Laws of exponents with rational exponents
Numeric expressions
Monomial expressions
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Describing and Graphing Linear Functions, Equations, and Inequalities
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.
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.
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.
A1.3.C: 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 linear functions
Identify key features
A1.3.C: 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 linear functions
Identify key features
A1.3.D: Graph the solution set of linear inequalities in two variables on the coordinate plane.
A1.3.D: Graph the solution set of linear inequalities in two variables on the coordinate plane.
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Writing and Solving Linear Functions, Equations, and Inequalities
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.
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, both continuous and discrete; and represent domain and range using inequalities.
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, both continuous and discrete; and represent domain and range using inequalities.
A1.2.C: Write linear equations in two variables given a table of values, a graph, and a verbal description.
Tables
Graphs
Verbal descriptions
A1.2.C: Write linear equations in two variables given a table of values, a graph, and a verbal description.
Tables
Graphs
Verbal descriptions
A1.2.I: Write systems of two linear equations given a table of values, a graph, and a verbal description.
A1.2.I: Write systems of two linear equations given a table of values, a graph, and a verbal description.
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The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions.
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.
Equations with models
Solve equations
Word problems
Number of solutions
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.
Equations with models
Solve equations
Word problems
Number of solutions
A1.5.C: Solve systems of two linear equations with two variables for mathematical and real-world problems.
Graphing
Substitution
Elimination
Any method
Number of solutions
A1.5.C: Solve systems of two linear equations with two variables for mathematical and real-world problems.
Graphing
Substitution
Elimination
Any method
Number of solutions
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Quadratic Functions and Equations
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.
A1.6.A: Determine the domain and range of quadratic functions and represent the domain and range using inequalities.
A1.6.A: Determine the domain and range of quadratic functions and represent the domain and range using inequalities.
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.
A1.7.A: 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.
Identify key attributes
Graph quadratic functions
A1.7.A: 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.
Identify key attributes
Graph quadratic functions
A1.7.C: 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.
A1.7.C: 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.
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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.
A1.8.A: Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.
Square roots
Factoring
Completing the square
Quadratic formula
Word problems
A1.8.A: Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.
Square roots
Factoring
Completing the square
Quadratic formula
Word problems
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Checkpoint skill Checkpoint opportunity
Exponential Functions and Equations
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.
A1.9.C: 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.
A1.9.C: 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.
A1.9.D: Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems.
A1.9.D: Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems.
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