Khan Academy
Newton, Leibniz, and Usain Bolt, Derivatives Introduction, AP Calculus AB
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #1 Parts B, C, & D
Video shows how to use the definite integral of the velocity function of a particle to determine the distance traveled, average velocity and position of the particle at a given time. [14:37]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4D
Video shows how to calculate the average rate of change of a function over an interval and explains why it does not contradict the Mean Value Theorem. [5:46]
Khan Academy
Khan Academy: Calculus: Mean Value Theorem
Video lesson introducing the mean value theorem by providing the theorem and explaining it visually with an arbitrary graph and an example about driving. Includes an example of using the mean value theorem with a specific function. [16:48]
Khan Academy
Khan Academy: Calculus: Newton, Leibniz, and Usain Bolt
Video lesson explaining the use of differential equations by exploring the speed at which Usain Bolt runs. Explains the difference between average speed and instantaneous speed. [9:07]
Khan Academy
Khan Academy: Calculus: Calculus Bc 2008 #2A
Video lesson solving the first part and beginning the solution for the second part of a free response problem from the 2008 AP Calculus BC exam about people waiting in line to purchase tickets. The first part requires finding the average...
Khan Academy
Khan Academy: Slope: Average Rate of Change Example 2
This video analyze a word problem to show how to find the average rate of change.
Khan Academy
Khan Academy: Mean Value Theorem
Video lesson introducing the mean value theorem by providing the theorem and explaining it visually with an arbitrary graph and an example about driving.
Khan Academy
Khan Academy: Slope: Average Rate of Change Example 1
This video demonstrate how to find the rate of change from a given graph.
Khan Academy
Khan Academy: Slope: Average Rate of Change Example 3
This video demonstrate how to find the average rate of change from a given interval of a table of values.
Sophia Learning
Sophia: Algebra I: Average Rate of Change
This video lesson introduces and demonstrates how to find the average rate of change for a function. Students can check their understanding with an assessment. [11:31]
Sophia Learning
Sophia: Average Rate of Change
Determine the average rate of change of a curved line. Assess learning with a quiz.
Sophia Learning
Sophia: Instantaneous Velocity: Lesson 2
This lesson introduces the concept of instantaneous velocity without the use of calculus. It is 2 of 2 in the series titled "Instantaneous Velocity."
Sophia Learning
Sophia: Application of Percent of Change
Here we look at how to apply percent of change in a real world situation through the use of a word problem.