Common Planner
K–12 Standards

Essentials of Math II

Other South Carolina Employability Education sets

BASIC ALGEBRA (BA)BA

  • 1

    Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with integer exponents.)BA.1

  • 2

    Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.BA.2

  • 3

    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.BA.3

  • 4

    Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.BA.4

  • 5

    Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: a and b are not Graduation Standards.)BA.5

    1. a

      Solve systems of linear equations using the substitution method.BA.5.a

    2. b

      Solve systems of linear equations using linear combination.BA.5.b

  • 6

    Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases.BA.6

  • 7

    Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more generally as a polynomial function. Standard 8: Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.BA.7

  • 9

    Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.BA.9

  • 10

    Write a function that describes a relationship between two quantities. (Note: a. is not a Graduation Standard.)BA.10

    1. a

      Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.BA.10.a

    2. b

      Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real- world situations.BA.10.b

  •  

    Competency Goals

    1. 1

      Apply algebraic properties to solve problemsBA.CG.1

    2. 2

      Understand patterns and relationships.BA.CG.2

    3. 3

      Understand the concepts of variables, expressions, equations, and/or inequalities.BA.CG.3

    4. 4

      Add, subtract, and multiply polynomials.BA.CG.4

    5. 5

      Create and solve equations.BA.CG.5

    6. 6

      Understand how to factor simple equations.BA.CG.6

    7. 7

      Add/Subtract/Multiply/Divide positive and negative integers. BA.CG.7

    8. 8

      Understand how to work with exponents and square roots.BA.CG.8

    9. 9

      Plot points on a coordinate plane.BA.CG.9

    10. 10

      Graph linear equations on a coordinate plane activities in the household.BA.CG.10

    11. 11

      Apply mathematical skillsto entertainment and leisure activities.BA.CG.11

    12. 12

      Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.BA.CG.12

    13. 13

      Demonstrate the knowledge of 4 basic arithmetic operations w/ whole numbers.BA.CG.13

BASIC CALCULATOR SKILLS FOR ALGEBRA (BC)BC

  • 1

    Use a variety of mathematical tools effectively and strategically.BC.1

    1. a

      Select and use appropriate tools when solving a mathematical problem.BC.1.a

    2. b

      Use technological tools and other external mathematical resources to explore and deepen understanding of concepts.BC.1.b

  •  

    Competency Goals

    1. 1

      Use a calculator to solve real world word problems.BC.CG.1

    2. 2

      Use a calculator to solve real world decimal problems.BC.CG.2

    3. 3

      Use a calculator to solve real world fraction and mixed number problems.BC.CG.3

    4. 4

      Use a calculator to solve algebraic math problems.BC.CG.4

Frequently asked questions

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

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