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South Carolina Math Standards - Elementary Alegbra
MathScore aligns to the South Carolina Math Standards for Elementary Alegbra. 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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View the South Carolina Math Standards at other levels.
Standard EA-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.
EA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately. (Algebraic Terms )
EA-1.2 Connect algebra with other branches of mathematics.
EA-1.3 Apply algebraic methods to solve problems in real-world contexts. (Train Problems , Mixture Word Problems , Work Word Problems )
EA-1.4 Judge the reasonableness of mathematical solutions.
EA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic). (Determining Slope , Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Applied Linear Equations 1 , Applied Linear Equations 2 , Nonlinear Functions )
EA-1.6 Understand how algebraic relationships can be represented in concrete models, pictorial models, and diagrams.
EA-1.7 Understand how to represent algebraic relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).
Standard EA-2: The student will demonstrate through the mathematical processes an understanding of the real number system and operations involving exponents, matrices, and algebraic expressions.
EA-2.1 Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers).
EA-2.2 Apply the laws of exponents and roots to solve problems. (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 )
EA-2.3 Carry out a procedure to perform operations (including multiplication and division) with numbers written in scientific notation. (Scientific Notation 2 )
EA-2.4 Use dimensional analysis to convert units of measure within a system. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )
EA-2.5 Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions. (Simplifying Algebraic Expressions , Simplifying Algebraic Expressions 2 )
EA-2.6 Carry out a procedure to evaluate an expression by substituting a value for the variable. (Variable Substitution , Variable Substitution 2 )
EA-2.7 Carry out a procedure (including addition, subtraction, multiplication, and division by a monomial) to simplify polynomial expressions. (Foil Method , Binomial Fraction Simplification , Polynomial Fraction Simplification , Simplifying Algebraic Expressions )
EA-2.8 Carry out a procedure to factor binomials, trinomials, and polynomials by using various techniques (including the greatest common factor, the difference between two squares, and quadratic trinomials). (Trinomial Factoring , Quadratic Zero Equations , Quadratic X-Intercepts , Quadratic Formula )
EA-2.9 Carry out a procedure to perform operations with matrices (including addition, subtraction, and scalar multiplication).
EA-2.10 Represent applied problems by using matrices.
Standard EA-3: The student will demonstrate through the mathematical processes an understanding of relationships and functions.
EA-3.1 Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph.
EA-3.2 Use function notation to represent functional relationships.
EA-3.3 Carry out a procedure to evaluate a function for a given element in the domain. (Variable Substitution , Variable Substitution 2 )
EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the function. (Domain and Range )
EA-3.5 Carry out a procedure to graph parent functions (including y=x, y2, y=√x, y=|x|, and y=1/x).
EA-3.6 Classify a variation as either direct or inverse.
EA-3.7 Carry out a procedure to solve literal equations for a specified variable. (Linear Equations , Single Variable Equations 3 , Two Variable Equations )
EA-3.8 Apply proportional reasoning to solve problems. (Proportions 2 , Train Problems , Mixture Word Problems , Work Word Problems )
Standard EA-4: The student will demonstrate through the mathematical processes an understanding of the procedures for writing and solving linear equations and inequalities.
EA-4.1 Carry out a procedure to write an equation of a line with a given slope and a y-intercept. (Graphs to Linear Equations )
EA-4.2 Carry out a procedure to write an equation of a line with a given slope passing through a given point. (Applied Linear Equations 1 )
EA-4.3 Carry out a procedure to write an equation of a line passing through two given points. (Applied Linear Equations 1 )
EA-4.4 Use a procedure to write an equation of a trend line from a given scatterplot. (Graphs to Linear Equations , Graphs to Linear Equations 2 )
EA-4.5 Analyze a scatterplot to make predictions.
EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard). (Graphs to Linear Equations 2 )
EA-4.7 Carry out procedures to solve linear equations for one variable algebraically. (Linear Equations , Single Variable Equations 3 )
EA-4.8 Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution. (Single Variable Inequalities , Number Line Inequalities )
EA-4.9 Carry out a procedure to solve systems of two linear equations graphically.
EA-4.10 Carry out a procedure to solve systems of two linear equations algebraically. (System of Equations Substitution , System of Equations Addition )
Standard EA-5: The student will demonstrate through the mathematical processes an understanding of the graphs and characteristics of linear equations and inequalities.
EA-5.1 Carry out a procedure to graph a line when given the equation of the line.
EA-5.2 Analyze the effects of changes in the slope, m, and the y-intercept, b, on the graph of y = mx + b.
EA-5.3 Carry out a procedure to graph the line with a given slope and a y-intercept.
EA-5.4 Carry out a procedure to graph the line with a given slope passing through a given point.
EA-5.5 Carry out a procedure to determine the x-intercept and y-intercept of lines from data given tabularly, graphically, symbolically, and verbally.
EA-5.6 Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally. (Determining Slope , Applied Linear Equations 2 )
EA-5.7 Apply the concept of slope as a rate of change to solve problems.
EA-5.8 Analyze the equations of two lines to determine whether the lines are perpendicular or parallel. (Applied Linear Equations 2 )
EA-5.9 Analyze given information to write a linear function that models a given problem situation.
EA-5.10 Analyze given information to determine the domain and range of a linear function in a problem situation. (Domain and Range )
EA-5.11 Analyze given information to write a system of linear equations that models a given problem situation. (Age Problems , Mixture Word Problems , Work Word Problems )
EA-5.12 Analyze given information to write a linear inequality in one variable that models a given problem situation. (Algebraic Sentences 2 )
Standard EA-6: The student will demonstrate through the mathematical processes an understanding of quadratic relationships and functions.
EA-6.1 Analyze the effects of changing the leading coefficient a on the graph of y = ax2 . (Nonlinear Functions )
EA-6.2 Analyze the effects of changing the constant c on the graph of y = x2 + c .
EA-6.3 Analyze the graph of a quadratic function to determine its equation. (Nonlinear Functions )
EA-6.4 Carry out a procedure to solve quadratic equations by factoring. (Quadratic Zero Equations )
EA-6.5 Carry out a graphic procedure to approximate the solutions of quadratic equations.
EA-6.6 Analyze given information to determine the domain of a quadratic function in a problem situation.
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