South Carolina

$South Carolina flag$

Skills available for South Carolina high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

Show alignments for:

South Carolina College- and Career-Ready Standards: Algebra 1 South Carolina College- and Career-Ready Standards: Algebra 1
South Carolina College- and Career-Ready Standards: Algebra 2 South Carolina College- and Career-Ready Standards: Algebra 2
South Carolina College- and Career-Ready Standards: Calculus South Carolina College- and Career-Ready Standards: Calculus
South Carolina College- and Career-Ready Standards: Foundations in Algebra South Carolina College- and Career-Ready Standards: Foundations in Algebra
South Carolina College- and Career-Ready Standards: Geometry South Carolina College- and Career-Ready Standards: Geometry
South Carolina College- and Career-Ready Standards: Intermediate Algebra South Carolina College- and Career-Ready Standards: Intermediate Algebra
South Carolina College- and Career-Ready Standards: Pre-Calculus South Carolina College- and Career-Ready Standards: Pre-Calculus
South Carolina College- and Career-Ready Standards: Probability & Statistics South Carolina College- and Career-Ready Standards: Probability & Statistics

Actions

Print standards

A1.SP Statistics and Probability

A1.SPID Interpreting Data
- A1.SPID.6 Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data.
- A1.SPID.7 Create a linear function to graphically model data from a real-world problem and interpret the meaning of the slope and intercept(s) in the context of the given problem.
- A1.SPID.8 Using technology, compute and interpret the correlation coefficient of a linear fit.
  - Match correlation coefficients to scatter plots (A1-MM.10)
  - Calculate correlation coefficients (A1-MM.11)
- Checkpoint opportunity
  - Checkpoint: Linear modeling (A1)

South Carolina

Show alignments for:

Actions

A1.A Algebra

A1.AAPR Arithmetic with Polynomials and Rational Expressions

A1.AAPR.1 Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.)

Checkpoint opportunity

A1.ACE Creating Equations

A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indirect variation.)

A1.ACE.4 Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.

Checkpoint opportunity

A1.AREI Reasoning with Equations and Inequalities

A1.AREI.1 Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

A1.AREI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A1.AREI.4 Solve mathematical and real-world problems involving quadratic equations in one variable.

A1.AREI.4.a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - h)² = k that has the same solutions. Derive the quadratic formula from this form.

A1.AREI.5 Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation.

A1.AREI.6 Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables.

A1.AREI.6.a Solve systems of linear equations using the substitution method.

A1.AREI.6.b Solve systems of linear equations using linear combination.

A1.AREI.10 Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

A1.AREI.11 Solve an equation of the form f(x) = g(x) graphically by identifying the x - coordinate(s) of the point(s) of intersection of the graphs of y = f(x) and y = g(x). (Limit to linear; quadratic; exponential.)

A1.AREI.12 Graph the solutions to a linear inequality in two variables.

Checkpoint opportunity

A1.ASE Structure and Expressions

A1.ASE.1 Interpret the meanings of coefficients, factors, terms, and expressions based on their real-world contexts. Interpret complicated expressions as being composed of simpler expressions. (Limit to linear; quadratic; exponential.)

A1.ASE.2 Analyze the structure of binomials, trinomials, and other polynomials in order to rewrite equivalent expressions.

A1.ASE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A1.ASE.3.a Find the zeros of a quadratic function by rewriting it in equivalent factored form and explain the connection between the zeros of the function, its linear factors, the x-intercepts of its graph, and the solutions to the corresponding quadratic equation.

Checkpoint opportunity

A1.F Functions

A1.FBF Building Functions

Checkpoint opportunity

A1.FIF Interpreting Functions

A1.FIF.1 Extend previous knowledge of a function to apply to general behavior and features of a function.

A1.FIF.1.a Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

A1.FIF.1.b Represent a function using function notation and explain that f(x) denotes the output of function f that corresponds to the input x.

A1.FIF.1.c Understand that the graph of a function labeled as f is the set of all ordered pairs (x, y) that satisfy the equation y =f(x).

A1.FIF.2 Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the context when the function describes a real-world situation.

A1.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

A1.FIF.6 Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context. (Limit to linear; quadratic; exponential.)

A1.FIF.8 Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.)

A1.FIF.8.a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

A1.FIF.9 Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic; exponential.)

Checkpoint opportunity

A1.FLQE Linear, Quadratic, and Exponential

A1.FLQE.1 Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval.

A1.FLQE.1.a Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

A1.FLQE.2 Create symbolic representations of linear and exponential functions, including arithmetic and geometric sequences, given graphs, verbal descriptions, and tables. (Limit to linear; exponential.)

A1.FLQE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more generally as a polynomial function.

A1.FLQE.5 Interpret the parameters in a linear or exponential function in terms of the context. (Limit to linear.)

Checkpoint opportunity

A1.N Number and Quantity

A1.NQ Quantities

A1.NQ.1 Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.

A1.NQ.2 Label and define appropriate quantities in descriptive modeling contexts.

A1.NQ.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.

Checkpoint opportunity

A1.NRNS Real Number System

A1.NRNS.1 Rewrite expressions involving simple radicals and rational exponents in different forms.

A1.NRNS.2 Use the definition of the meaning of rational exponents to translate between rational exponent and radical forms.

A1.NRNS.3 Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Checkpoint opportunity

A1.SP Statistics and Probability

A1.SPID Interpreting Data

A1.SPID.6 Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data.

A1.SPID.7 Create a linear function to graphically model data from a real-world problem and interpret the meaning of the slope and intercept(s) in the context of the given problem.

A1.SPID.8 Using technology, compute and interpret the correlation coefficient of a linear fit.

Checkpoint opportunity