Standards
are in bold, followed by a list of the IXL math
skills that are aligned to that
standard.
Students can practice
these skills
online at www.ixl.com.
Standards: Virginia Standards of Learning
A.EO Expressions and Operations
A.1 The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.
A.2.b adding, subtracting, multiplying, and dividing polynomials; and
Polynomial vocabulary (Algebra 1 - Z.1)
Model polynomials with algebra tiles (Algebra 1 - Z.2)
Add and subtract polynomials using algebra tiles (Algebra 1 - Z.3)
Add and subtract polynomials (Algebra 1 - Z.4)
Add polynomials to find perimeter (Algebra 1 - Z.5)
Multiply a polynomial by a monomial (Algebra 1 - Z.6)
Multiply two polynomials using algebra tiles (Algebra 1 - Z.7)
Multiply two binomials (Algebra 1 - Z.8)
Multiply two binomials: special cases (Algebra 1 - Z.9)
Multiply polynomials (Algebra 1 - Z.10)
A.2.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.
GCF of monomials (Algebra 1 - AA.1)
Factor out a monomial (Algebra 1 - AA.2)
Factor quadratics with leading coefficient 1 (Algebra 1 - AA.3)
Factor quadratics with other leading coefficients (Algebra 1 - AA.4)
Factor quadratics: special cases (Algebra 1 - AA.5)
Factor by grouping (Algebra 1 - AA.6)
Factor polynomials (Algebra 1 - AA.7)
Solve quadratic equations (Geometry - A.9)
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.
Square roots (Algebra 1 - A.7)
Cube roots (Algebra 1 - A.8)
Simplify radical expressions (Algebra 1 - EE.1)
Simplify radical expressions by rationalizing the denominator (Algebra 1 - EE.2)
Multiply radical expressions (Algebra 1 - EE.3)
Add and subtract radical expressions (Algebra 1 - EE.4)
Simplify radical expressions using the distributive property (Algebra 1 - EE.5)
A.4 Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. The student will solve multistep linear and quadratic equations in two variables, including
A.4.a solving literal equations (formulas) for a given variable;
Model and solve equations using algebra tiles (Algebra 1 - J.1)
Write and solve equations that represent diagrams (Algebra 1 - J.2)
Solve one-step linear equations (Algebra 1 - J.3)
Solve two-step linear equations (Algebra 1 - J.4)
Solve advanced linear equations (Algebra 1 - J.5)
Solve equations with variables on both sides (Algebra 1 - J.6)
Identities and equations with no solutions (Algebra 1 - J.7)
Solve linear equations: word problems (Algebra 1 - J.8)
Solve linear equations: mixed review (Algebra 1 - J.9)
Linear equations: solve for y (Algebra 1 - S.8)
A.4.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;
Properties of addition and multiplication (Algebra 1 - H.1)
Distributive property (Algebra 1 - H.2)
Simplify variable expressions using properties (Algebra 1 - H.3)
Properties of equality (Algebra 1 - H.4)
A.4.c solving quadratic equations algebraically and graphically;
Characteristics of quadratic functions (Algebra 1 - BB.1)
Solve a quadratic equation using square roots (Algebra 1 - BB.4)
Solve an equation using the zero product property (Algebra 1 - BB.5)
Solve a quadratic equation by factoring (Algebra 1 - BB.6)
Complete the square (Algebra 1 - BB.7)
Solve a quadratic equation by completing the square (Algebra 1 - BB.8)
Solve a quadratic equation using the quadratic formula (Algebra 1 - BB.9)
Using the discriminant (Algebra 1 - BB.10)
A.4.d solving multistep linear equations algebraically and graphically;
Solve two-step linear equations (Algebra 1 - J.4)
Solve advanced linear equations (Algebra 1 - J.5)
Solve equations with variables on both sides (Algebra 1 - J.6)
Solve linear equations: mixed review (Algebra 1 - J.9)
Linear equations: solve for y (Algebra 1 - S.8)
A.4.e solving systems of two linear equations in two variables algebraically and graphically; and
Solve a system of equations by graphing (Algebra 1 - U.2)
Solve a system of equations using substitution (Algebra 1 - U.8)
Solve a system of equations using elimination (Algebra 1 - U.10)
Solve a system of equations using any method (Algebra 1 - U.14)
A.4.f solving real-world problems involving equations and systems of equations.
Solve proportions: word problems (Algebra 1 - C.6)
Solve linear equations: word problems (Algebra 1 - J.8)
Write a function rule: word problems (Algebra 1 - Q.10)
Linear function word problems (Algebra 1 - S.9)
Exponential growth and decay: word problems (Algebra 1 - X.3)
A.5 The student will solve multistep linear inequalities in two variables, including
A.5.a solving multistep linear inequalities algebraically and graphically;
Does (x, y) satisfy the inequality? (Algebra 1 - T.1)
Linear inequalities: solve for y (Algebra 1 - T.2)
A.5.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;
Graph inequalities (Algebra 1 - K.1)
Write inequalities from graphs (Algebra 1 - K.2)
Identify solutions to inequalities (Algebra 1 - K.3)
Solve one-step linear inequalities: addition and subtraction (Algebra 1 - K.4)
Solve one-step linear inequalities: multiplication and division (Algebra 1 - K.5)
Solve one-step linear inequalities (Algebra 1 - K.6)
Graph solutions to one-step linear inequalities (Algebra 1 - K.7)
Solve two-step linear inequalities (Algebra 1 - K.8)
Graph solutions to two-step linear inequalities (Algebra 1 - K.9)
Solve advanced linear inequalities (Algebra 1 - K.10)
Graph solutions to advanced linear inequalities (Algebra 1 - K.11)
Graph compound inequalities (Algebra 1 - K.12)
Write compound inequalities from graphs (Algebra 1 - K.13)
Solve compound inequalities (Algebra 1 - K.14)
Graph solutions to compound inequalities (Algebra 1 - K.15)
Solve absolute value equations (Algebra 1 - L.1)
Graph solutions to absolute value equations (Algebra 1 - L.2)
Solve absolute value inequalities (Algebra 1 - L.3)
Graph solutions to absolute value inequalities (Algebra 1 - L.4)
A.5.c solving real-world problems involving inequalities; and
Linear inequalities: word problems (Algebra 1 - T.4)
A.5.d solving systems of inequalities.
Is (x, y) a solution to the system of inequalities? (Algebra 1 - T.5)
A.6 The student will graph linear equations and linear inequalities in two variables, including
A.6.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
Find the constant of variation (Algebra 1 - R.2)
Find the slope of a graph (Algebra 1 - S.2)
Find slope from two points (Algebra 1 - S.3)
Slope-intercept form: find slope and y-intercept (Algebra 1 - S.4)
A.6.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.
Slope-intercept form: write an equation from a graph (Algebra 1 - S.6)
Slope-intercept form: write an equation (Algebra 1 - S.7)
Write equations in standard form (Algebra 1 - S.10)
Point-slope form: write an equation from a graph (Algebra 1 - S.16)
Point-slope form: write an equation (Algebra 1 - S.17)
A.F Functions
A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including
A.7.a determining whether a relation is a function;
Identify functions (Algebra 1 - Q.4)
Identify functions: vertical line test (Algebra 1 - Q.5)
A.7.b domain and range;
Domain and range of relations (Algebra 1 - Q.2)
A.7.c zeros of a function;
Solve a quadratic equation by factoring (Algebra 1 - BB.6)
A.7.d x- and y-intercepts;
Slope-intercept form: find slope and y-intercept (Algebra 1 - S.4)
Standard form: find x- and y-intercepts (Algebra 1 - S.11)
A.7.e finding the values of a function for elements in its domain; and
Complete a function table (Algebra 1 - Q.6)
Evaluate function rules I (Algebra 1 - Q.7)
Evaluate function rules II (Algebra 1 - Q.8)
A.7.f making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.
Graph a function (Algebra 1 - Q.9)
Write a function rule: word problems (Algebra 1 - Q.10)
Write a rule for a function table (Algebra 1 - Q.12)
Graph a proportional relationship (Algebra 1 - R.3)
Write direct variation equations (Algebra 1 - R.4)
Write and solve direct variation equations (Algebra 1 - R.5)
Identify direct variation and inverse variation (Algebra 1 - R.6)
Write and solve inverse variation equations (Algebra 1 - R.8)
Slope-intercept form: graph an equation (Algebra 1 - S.5)
Slope-intercept form: write an equation from a graph (Algebra 1 - S.6)
Slope-intercept form: write an equation (Algebra 1 - S.7)
Linear function word problems (Algebra 1 - S.9)
Standard form: find x- and y-intercepts (Algebra 1 - S.11)
Standard form: graph an equation (Algebra 1 - S.12)
Point-slope form: graph an equation (Algebra 1 - S.15)
Point-slope form: write an equation from a graph (Algebra 1 - S.16)
Point-slope form: write an equation (Algebra 1 - S.17)
Slopes of parallel and perpendicular lines (Algebra 1 - S.18)
Write an equation for a parallel or perpendicular line (Algebra 1 - S.19)
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.
Write direct variation equations (Algebra 1 - R.4)
Write and solve direct variation equations (Algebra 1 - R.5)
Identify direct variation and inverse variation (Algebra 1 - R.6)
Write and solve inverse variation equations (Algebra 1 - R.8)
A.S 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.
Mean, median, mode, and range (Algebra 1 - KK.1)
Quartiles (Algebra 1 - KK.2)
Mean absolute deviation (Algebra 1 - KK.4)
Variance and standard deviation (Algebra 1 - KK.5)
A.10 The student will compare and contrast multiple univariate data sets, using box-and-whisker plots.
Interpret box-and-whisker plots (Algebra 1 - N.5)
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.