Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH ALGEBRA I
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1 Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH ALGEBRA I
2 Linear Functions A.2 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. A.2(A) A.2(C) 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 write linear equations in two variables given a table of values, a graph, and a verbal description A.3 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. A.3(B) A.3(C) 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 realworld problems continuous linear function A.2(A) discrete range* inequalities domain* A.2(C) linear equation* A.3(B) rate of change* A.3(C) linear functions* x-intercept* zeros* slope y-intercept* algebraically coordinate plane* equation* function, functions* graph* graphically greatest value* grid* integers* less steep* mapping points* maximum* ordered pairs* parallel* point* real numbers* relationship* standard form* steeper* table* tabularly variable verbal description y with respect to x* lead4ward *used on STAAR Source: Texas Education Agency v Page 1 of 5
3 Systems of Equations and Inequalities A.2 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. A.2(I) write systems of two linear equations given a table of values, a graph, and a verbal description A.3 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. A.3(D) graph the solution set of linear inequalities in two variables on the coordinate plane A.5 Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. A.5(A) A.5(C) 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 systems of two linear equations with two variables for mathematical and real-world problems A.2(I) system of linear equations A.3(D) linear inequalities solution set* A.5(A) distributive property A.5(C) system of linear equation coordinate pairs* coordinate plane graph* inequality* infinite number* linear equation no solution* ordered pair* solution* system of equation* table value* variable verbal description lead4ward *used on STAAR Source: Texas Education Agency v Page 2 of 5
4 Simplifying Expressions A.10 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. A.10(E) factor, if possible, trinomials with real factors in the form ax 2 + bx + c, including perfect square trinomials of degree two A.11 Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. A.11(B) simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents A.10(E) perfect square trinomial trinomial factor A.11(B) integral exponent laws of exponents rational exponent algebraic expression area of the circle* degree equivalent* expression* height* length* numeric expression radius* rectangular prism* volume* width* lead4ward *used on STAAR Source: Texas Education Agency v Page 3 of 5
5 Quadratic Functions A.6 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. A.6(A) determine the domain and range of quadratic functions and represent the domain and range using inequalities A.7 Quadratic functions and equations. 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. A.7(A) A.7(C) 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 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 A.8 Quadratic functions and equations. 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. A.8(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula A.6(A) domain* quadratic range* inequality axis of symmetry* x-intercept* minimum value* A.7(A) maximum value* zeros* vertex* quadratic y-intercept* A.7(C) parent A.8(A) complete the square quadratic equations* quadratic formula take square roots factor area* attribute consecutive even numbers* coordinate grid* coordinate plane coordinates* downward* effects equation* grid* infinite number* integers* length* minimum point* no real solution* non-negative numbers* ordered pairs* origin* parabola* perimeter* points* real numbers* real solution* rectangular* reflection* relationship* solution* solution set* symmetrical* table* upward* values* width* x-axis/y-axis* lead4ward *used on STAAR Source: Texas Education Agency v Page 4 of 5
6 Exponential Functions A.9 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. A.9(C) A.9(D) 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 realworld problems A.9(C) decay exponential functions* growth* A.9(D) asymptote decay exponential functions* growth y-intercept conclusion* data* diameter* points* rate* relationship* table* lead4ward *used on STAAR Source: Texas Education Agency v Page 5 of 5
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