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Skills available for Georgia high school math standards

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Students will compare different representations of numbers (i.e. fractions, decimals, radicals, etc.) and perform basic operations using these different representations.

Students will extend arithmetic operations to algebraic modeling.

Students will use ratios to solve real-world and mathematical problems.

Students will solve, interpret, and create linear models using equations and inequalities.

Students will create function statements and analyze relationships among pairs of variables using graphs, tables, and equations.

N.RN The Real Number System

N.Q Quantities

A.SSE Seeing Structure in Expressions

A.APR Arithmetic with Polynomials and Rational Expressions

A.CED Creating Equations

A.REI Reasoning with Equations and Inequalities

F.IF Interpreting Functions

F.BF Building Functions

F.LE Linear, Quadratic, and Exponential Models

S.ID Interpreting Categorical and Quantitative Data

G.CO Congruence

G.SRT Similarity, Right Triangles, and Trigonometry

G.C Circles

G.GPE Expressing Geometric Properties with Equations

G.GMD Geometric Measurement and Dimension

  • Explain volume formulas and use them to solve problems

    • MGSE9-12.G.GMD.1 Give informal arguments for geometric formulas.

      • a Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.

      • b Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri's principle.

    • MGSE9-12.G.GMD.2 Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures.

    • MGSE9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

  • Visualize relationships between two-dimensional and three-dimensional objects

G.MG Modeling with Geometry

  • Apply geometric concepts in modeling situations

    • MGSE9-12.G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

    • MGSE9-12.G.MG.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

    • MGSE9-12.G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

S.CP Conditional Probability and the Rules of Probability

N.Q Quantities

A.SSE Seeing Structure in Expressions

A.CED Creating Equations

A.REI Reasoning with Equations and Inequalities

F.IF Interpreting Functions

F.BF Building Functions

F.LE Linear, Quadratic, and Exponential Models

G.CO Congruence

G.GPE Expressing Geometric Properties with Equations

S.ID Interpreting Categorical and Quantitative Data

N.RN The Real Number System

A.SSE Seeing Structure in Expressions

A.APR Arithmetic with Polynomials and Rational Expressions

A.CED Creating Equations

A.REI Reasoning with Equations and Inequalities

F.IF Interpreting Functions

F.BF Building Functions

F.LE Linear, Quadratic, and Exponential Models

  • Construct and compare linear, quadratic, and exponential models and solve problems

    • MGSE9-12.F.LE.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.

G.CO Congruence

G.SRT Similarity, Right Triangles, and Trigonometry

G.C Circles

G.GPE Expressing Geometric Properties with Equations

G.GMD Geometric Measurement and Dimension

  • Explain volume formulas and use them to solve problems

    • MGSE9-12.G.GMD.1 Give informal arguments for geometric formulas.

      • a Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.

      • b Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri's principle.

    • MGSE9-12.G.GMD.2 Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures.

    • MGSE9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

  • Visualize relationships between two-dimensional and three-dimensional objects

G.MG Modeling with Geometry

  • Apply geometric concepts in modeling situations

    • MGSE9-12.G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

    • MGSE9-12.G.MG.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

    • MGSE9-12.G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

S.ID Interpreting Categorical and Quantitative Data

S.CP Conditional Probability and the Rules of Probability

N.RN The Real Number System

N.Q Quantities

A.SSE Seeing Structure in Expressions

A.APR Arithmetic with Polynomials and Rational Expressions

A.CED Creating Equations

A.REI Reasoning with Equations and Inequalities

F.IF Interpreting Functions

F.BF Building Functions

F.LE Linear, Quadratic, and Exponential Models

G.CO Congruence

G.SRT Similarity, Right Triangles, and Trigonometry

S.ID Interpreting Categorical and Quantitative Data

N.RN The Real Number System

N.Q Quantities

A.SSE Seeing Structure in Expressions

A.APR Arithmetic with Polynomials and Rational Expressions

A.CED Creating Equations

A.REI Reasoning with Equations and Inequalities

F.IF Interpreting Functions