Algebra I (2012)

Other Texas Mathematics sets

• Grade K
• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Algebra II
• Algebraic Reasoning
• Discrete Mathematics
• Grade 9
• Statistics
• Advanced Quantitative Reasoning
• Geometry (2012)
• Grades 10, 11, 12
• Independent Study in Mathematics
• Mathematical Models with Applications
• Precalculus

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 equationsA1.C.2

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 inequalitiesA1.C.2.a

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 pointsA1.C.2.b

write linear equations in two variables given a table of values, a graph, and a verbal descriptionA1.C.2.c

write and solve equations involving direct variationA1.C.2.d

write the equation of a line that contains a given point and is parallel to a given lineA1.C.2.e

write the equation of a line that contains a given point and is perpendicular to a given lineA1.C.2.f

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 undefinedA1.C.2.g

write linear inequalities in two variables given a table of values, a graph, and a verbal descriptionA1.C.2.h

write systems of two linear equations given a table of values, a graph, and a verbal descriptionA1.C.2.i

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 equationsA1.C.3

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)A1.C.3.a

 calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problemsA1.C.3.b

graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problemsA1.C.3.c

 graph the solution set of linear inequalities in two variables on the coordinate planeA1.C.3.d

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 dA1.C.3.e

graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they existA1.C.3.f

 estimate graphically the solutions to systems of two linear equations with two variables in real-world problemsA1.C.3.g

graph the solution set of systems of two linear inequalities in two variables on the coordinate planeA1.C.3.h

The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world dataA1.C.4

calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear associationA1.C.4.a

compare and contrast association and causation in real-world problemsA1.C.4.b

write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problemsA1.C.4.c

The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutionsA1.C.5

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 sidesA1.C.5.a

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 sidesA1.C.5.b

solve systems of two linear equations with two variables for mathematical and real-world problemsA1.C.5.c

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 equationsA1.C.6

determine the domain and range of quadratic functions and represent the domain and range using inequalities;A1.C.6.a

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)A1.C.6.b

write quadratic functions when given real solutions and graphs of their related equationsA1.C.6.c

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 equationsA1.C.7

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 symmetryA1.C.7.a

 describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functionsA1.C.7.b

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 dA1.C.7.c

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 dataA1.C.8

solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formulaA1.C.8.a

write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problemsA1.C.8.b

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 dataA1.C.9

determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalitiesA1.C.9.a

interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problemsA1.C.9.b

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 decayA1.C.9.c

graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems;A1.C.9.d

 write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problemsA1.C.9.e

The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressionsA1.C.10

 add and subtract polynomials of degree one and degree twoA1.C.10.a

 multiply polynomials of degree one and degree twoA1.C.10.b

 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 dividendA1.C.10.c

rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive propertyA1.C.10.d

 factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree twoA1.C.10.e

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 binomialA1.C.10.f

The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent formsA1.C.11

 simplify numerical radical expressions involving square rootsA1.C.11.a

simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponentsA1.C.11.b

The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functionsA1.C.12

decide whether relations represented verbally, tabularly, graphically, and symbolically define a functionA1.C.12.a

evaluate functions, expressed in function notation, given one or more elements in their domainsA1.C.12.b

  identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processesA1.C.12.c

write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their termsA1.C.12.d

 solve mathematic and scientific formulas, and other literal equations, for a specified variableA1.C.12.e