Curated OER
Instantaneous Rate of Change of a Function
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
Curated OER
Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Curated OER
Lesson #20 Rates of Change and Velocity
Students investigate speed. For this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...
Math Medics
S.o.s. Math: The Derivative
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
Texas Instruments
Texas Instruments: Key Curriculum Press Calculus: Concepts & Applications
Students will explore the instantaneous rate of change of a function.
Texas Instruments
Texas Instruments: Understanding Derivatives Backward & Forward
This activity will define procedures for computing instantaneous rates of change exactly and, when exact is impossible or impractical, approximately. (Continued. See "before the activity.")
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Numerical Approach
The resource investigates the numerical approach of calculating the derivative. Topics examined are the instantaneous rate of change and the difference quotient. Students learn about the calculus concepts through notes and examples.
Sophia Learning
Sophia: Slope Intercept Form and Direct Variations
This lesson relates slope-intercept form to slope and direct variations.
Department of Defense
Do Dea: Average Rates of Change
This document looks at look at the difference between averages and instantaneous rates of change. Formulas are provided for average speed, instantaneous speed, the slope of a secant line, the slope of a tangent, and the slope of a curve...
Department of Defense
Do Dea: Instantaneous Rates of Change
Prepare for the AP Calculus exam by reviewing the most common relationships that are used in calculus. Formulas and examples are provided.
Interactive Mathematics
Interactive Mathematics: Instantaneous Rate of Change
The derivative is applied to real world applications of velocity in an example using "h" notation and limits.