Virginia Math Standards

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Virginia Math Standards - Alegbra I

MathScore aligns to the Virginia Math Standards for Alegbra I. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.

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Expressions and Operations

A.1 The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. (Mixture Word Problems , Work Word Problems , Integer Word Problems , Algebraic Sentences 2 , Algebraic Sentences , Variable Substitution 2 )
A.2 The student will perform operations on polynomials, including
   a) applying the laws of exponents to perform operations on expressions; (Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions , Roots Of Exponential Expressions , Simplifying Radical Expressions , Adding and Subtracting Radical Expressions , Multiplying and Dividing Radical Expressions )
   b) adding, subtracting, multiplying, and dividing polynomials; and (Foil Method , Binomial Fraction Simplification , Polynomial Fraction Simplification , Simplifying Algebraic Expressions )
   c) factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations. (Trinomial Factoring )
A.3 The student will express the square roots and cube roots of whole numbers and the square root of a monomial algebraic expression in simplest radical form. (Simplifying Algebraic Expressions 2 , Simplifying Radical Expressions )

Equations and Inequalities

A.4 The student will solve multistep linear and quadratic equations in two variables, including
   a) solving literal equations (formulas) for a given variable; (Linear Equations , Single Variable Equations 3 , Two Variable Equations )
   b) justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsets;
   c) solving quadratic equations algebraically and graphically; (Quadratic Zero Equations , Quadratic Formula , Quadratic X-Intercepts )
   d) solving multistep linear equations algebraically and graphically; (Single Variable Equations 3 )
   e) solving systems of two linear equations in two variables algebraically and graphically; and (System of Equations Substitution , System of Equations Addition )
   f) solving real-world problems involving equations and systems of equations. Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. (Age Problems , Mixture Word Problems , Work Word Problems , Integer Word Problems )
A.5 The student will solve multistep linear inequalities in two variables, including
   a) solving multistep linear inequalities algebraically and graphically; (Single Variable Inequalities )
   b) justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets;
   c) solving real-world problems involving inequalities; and
   d) solving systems of inequalities.
A.6 The student will graph linear equations and linear inequalities in two variables, including
   a) determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined; and (Determining Slope )
   b) writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Applied Linear Equations 1 , Nonlinear Functions )

Functions

A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including
   a) determining whether a relation is a function;
   b) domain and range; (Domain and Range )
   c) zeros of a function; (Quadratic X-Intercepts , Quadratic Zero Equations , Quadratic Formula )
   d) x- and y-intercepts;
   e) finding the values of a function for elements in its domain; and (Linear Equations )
   f) making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Nonlinear Functions )
A.8 The student, given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.

Statistics

A.9 The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores.
A.10 The student will compare and contrast multiple univariate data sets, using box-and-whisker plots.
A.11 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions.

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