Georgia- Mathematics: Calculus

Georgia Math Standards    Adopted: 2021

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C.FGR: Functional & Graphical Reasoning – Differentiation

C.FGR.3: Relate limits and continuity to the derivative as a rate of change and apply it to a variety of situations including modeling contexts.

C.FGR.3.1: Interpret the derivative as an instantaneous rate of change that is a two-sided limit of an average rate of change.

Graphs of Derivative Functions

C.FGR.3.3: Apply the concept of derivative geometrically, numerically, and analytically.

Graphs of Derivative Functions

C.FGR.3.5: Find the derivatives of a variety of relations.

Graphs of Derivative Functions

C.FGR.3.6: Calculate higher order derivatives.

Graphs of Derivative Functions

C.FGR: Functional & Graphical Reasoning – Applications of Differentiation

C.FGR.4: Apply derivatives to situations in order to draw conclusions including curve analysis and modeling rates of change in applications.

C.FGR.4.1: Calculate the slope of a curve at a point.

Graphs of Derivative Functions

C.FGR.4.2: Write the equation of the tangent line to a curve at a point and use it to obtain a local linear approximation of a value near the point of tangency.

Graphs of Derivative Functions

C.FGR.4.3: Identify intervals where functions are increasing, decreasing, and constant by using the relationship between the function and the sign of its first derivative.

Graphs of Derivative Functions

C.FGR.4.4: Identify points of inflection and intervals of concavity of a function by using the second derivative of a function.

Graphs of Derivative Functions

C.FGR.4.5: Compare characteristics of f, f’, and f” graphically, numerically, analytically, and with technology.

Graphs of Derivative Functions

C.FGR.4.9: Model rates of change in applied situations.

Graphs of Derivative Functions

C.GSR: Geometric & Spatial Reasoning – Indefinite and Definite Integrals

C.GSR.5: Analyze the relationship between the derivative and the integral using the Fundamental Theorem of Calculus.

C.GSR.5.1: Use Riemann sums to approximate values of definite integrals.

Riemann Sum

Correlation last revised: 1/28/2022

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.