Instructional Video
Khan Academy

Khan Academy: Calculus: 2011 Calculus Ab Free Response #1A

9th - 10th Standards
Video shows how to determine whether the speed of a particle is increasing or decreasing at a given time by using the velocity and acceleration functions and reasoning about the signs of the functions when evaluated at the given time....
Instructional Video
Khan Academy

Khan Academy: Calculus: 2011 Calculus Ab Free Response #2 (A & B)

9th - 10th Standards
Video shows how to use a table of values to determine the approximate rate of change at a given time. Also explains what a definite integral means in terms of the situation and shows how to use a trapezoidal sum to estimate the integral....
Instructional Video
Sophia Learning

Sophia: Finding a Horizontal Tangent: Lesson 7

9th - 10th
This lesson demonstrates how to determine when the derivative of a function at a point is horizontal. It is 7 of 7 in the series titled "Finding a Horizontal Tangent."
Instructional Video
Sophia Learning

Sophia: Factoring to Find a Derivative: Lesson 2

9th - 10th
Finding the derivative of a function at some point, when initial substitution gives an indeterminate value, is demonstrated here. This lesson is 2 of 7 in the series titled "Factoring to Find a Derivative."
Instructional Video
Sophia Learning

Sophia: Factoring to Find a Derivative: Lesson 3

9th - 10th
Finding the derivative of a function at some point, when initial substitution gives an indeterminate value, is demonstrated here. This lesson is 3 of 7 in the series titled "Factoring to Find a Derivative."
Instructional Video
Sophia Learning

Sophia: Factoring to Find a Derivative: Lesson 7

9th - 10th
Finding the derivative of a function at some point, when initial substitution gives an indeterminate value, is demonstrated here. This lesson is 7 of 7 in the series titled "Factoring to Find a Derivative."
Instructional Video
Sophia Learning

Sophia: Factoring to Find a Derivative: Lesson 1

9th - 10th
Finding the derivative of a function at some point, when initial substitution gives an indeterminate value, is demonstrated here. This lesson is 1 of 7 in the series titled "Factoring to Find a Derivative."
Instructional Video
Sophia Learning

Sophia: Finding a Horizontal Tangent: Lesson 2

9th - 10th
This lesson demonstrates how to determine when the derivative of a function at a point is horizontal. It is 2 of 7 in the series titled "Finding a Horizontal Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Horizontal Tangent: Lesson 4

9th - 10th
This lesson demonstrates how to determine when the derivative of a function at a point is horizontal. It is 4 of 7 in the series titled "Finding a Horizontal Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Horizontal Tangent: Lesson 5

9th - 10th
This lesson demonstrates how to determine when the derivative of a function at a point is horizontal. It is 5 of 7 in the series titled "Finding a Horizontal Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Horizontal Tangent: Lesson 1

9th - 10th
This lesson demonstrates how to determine when the derivative of a function at a point is horizontal. It is 1 of 7 in the series titled "Finding a Horizontal Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 2

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 2 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 5

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 5 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 6

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 6 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 7

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 7 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 1

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 1 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Second Form of a Derivative: Lesson 2

9th - 10th
This lesson defines the derivative in terms of a limit, as two points on a function get closer together. It is 2 of 4 in the series titled "Second Form of a Derivative."
Instructional Video
Sophia Learning

Sophia: Second Form of a Derivative: Lesson 3

9th - 10th
This lesson defines the derivative in terms of a limit, as two points on a function get closer together. It is 3 of 4 in the series titled "Second Form of a Derivative."
Instructional Video
Sophia Learning

Sophia: Second Form of a Derivative: Lesson 1

9th - 10th
This lesson defines the derivative in terms of a limit, as two points on a function get closer together. It is 1 of 4 in the series titled "Second Form of a Derivative."
Instructional Video
Sophia Learning

Sophia: Using Static Rates of Change: Lesson 2

9th - 10th Standards
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 2 of 6 in the series titled "Using Static Rates of Change."
Instructional Video
Sophia Learning

Sophia: Using Static Rates of Change: Lesson 4

9th - 10th Standards
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 4 of 6 in the series titled "Using Static Rates of Change."
Instructional Video
Sophia Learning

Sophia: Using Static Rates of Change: Lesson 1

9th - 10th Standards
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 1 of 6 in the series titled "Using Static Rates of Change."
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 3

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 3 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Using Static Rates of Change: Lesson 3

9th - 10th Standards
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 3 of 6 in the series titled "Using Static Rates of Change."