---
title: "C.FGR.3: Derivative as Rate of Change (Georgia Mathematics standard)"
code: C.FGR.3
cite_as: Georgia Standards of Excellence, Mathematics, C.FGR.3
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/C.FGR.3
md_url: https://georgiahomeroom.org/standards/code/C.FGR.3.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/C.FGR.3.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# C.FGR.3: Derivative as Rate of Change

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

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- Apply the definition of the derivative.
  - **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.
  - **C.FGR.3.2**: Demonstrate and apply the relationship between differentiability and continuity.
  - **C.FGR.3.3**: Apply the concept of derivative geometrically, numerically, and analytically.
- Apply rules of differentiation.
  - **C.FGR.3.4**: Find the derivatives of sums, products, quotients, and composite functions.
  - **C.FGR.3.5**: Find the derivatives of a variety of relations.
  - **C.FGR.3.6**: Calculate higher order derivatives.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.