Mathematics: Algebra I

The Real Number SystemN-RN

  • 3

    Explain the pattern for the sum or product for combinations of rational and irrational numbers.LC.A1: N-RN.B.3

QuantitiesN-Q

  • 1a

    Determine the necessary unit(s) to use to solve real-world problems.LC.A1: N-Q.A.1a

  • 1b

    Solve real-world problems involving units of measurementLC.A1: N-Q.A.1b

Seeing Structure in ExpressionsA-SSE

  • 3

    Factor a quadratic expression.LC.A1: A-SSE.B.3

Arithmetic with Polynomials and Rational ExpressionsA-APR

  • 1a

    Understand the definition of a polynomial.LC.A1: A-APR.A.1a

  • 1b

    Understand the concepts of combining like terms and closure.LC.A1: A-APR.A.1b

  • 1c

    Add, subtract, and multiply polynomials and understand how closure applies under these operations.LC.A1: A-APR.A.1c

  • 3

    Find the zeros of a polynomial when the polynomial is factored.LC.A1: A-APR.B.3

Creating EquationsA-CED

  • 1

    Translate a real-world problem into a one variable linear equation.LC.A1: A-CED.A.1

  • 4

    Solve multi-variable formulas or literal equations, for a specific variable.LC.A1: A-CED.A.4

Reasoning with Equations and InequalitiesA-REI

  • 4a

    Transform a quadratic equation written in standard form to an equation in vertex form (𝑥 − 𝑝) = 𝑞2 by completing the square.LC.A1: A-REI.B.4a

  • 4b

    Derive the quadratic formula by completing the square on the standard form of a quadratic equation.LC.A1: A-REI.B.4b

  • 4c

    Solve quadratic equations in one variable by simple inspection, taking the square root, factoring, and completing the square.LC.A1: A-REI.B.4c

  • 5

    Solve systems of equations using the elimination method (sometimes called linear combinations).LC.A1: A-REI.C.5

  • 6a

    Solve a system of equations by substitution (solving for one variable in the first equation and substitution it into the second equation).LC.A1: A-REI.C.6a

  • 6b

    Solve systems of equations using graphs.LC.A1: A-REI.C.6b

  • 10

    Understand that all solutions to an equation in two variables are contained on the graph of that equation.LC.A1: A-REI.D.10

  • 11

    Explain why the intersection of y = f(x) and y = g(x) is the solution of the equation f(x) = g(x) for any combination of linear or exponential. Find the solution(s) by: Using technology to graph the equations and determine their point of intersection, Using tables of values, or Using successive approximations that become closer and closer to the actual value.LC.A1: A-REI.D.11

  • 12a

    Graph the solutions to a linear inequality in two variables as a half-plane, excluding the boundary for non-inclusive inequalities.LC.A1: A-REI.D.12a

  • 12b

    Graph the solution set to a system of linear inequalities in two variables as the intersection of their corresponding half-planes.LC.A1: A-REI.D.12b

Interpreting Categorical and Quantitative DataS-ID

  • 2a

    Use descriptive stats; range, median, mode, mean, outliers/gaps to describe the data set.LC.A1: S-ID.A.2a

  • 2b

    Compare means, median, and range of 2 sets of data.LC.A1: S-ID.A.2b

  • 6a

    Represent data on a scatter plot to describe and predict.LC.A1: S-ID.B.6a

  • 6b

    Select an appropriate statement that describes the relationship between variables.LC.A1: S-ID.B.6b

  • 7

    Interpret the rate of change using graphical representations.LC.A1: S-ID.C.7

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12