Instructional Video
Sophia Learning

Sophia: Finding a Right Riemann Sum: Lesson 4

9th - 10th
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 4 of 7 in the series titled "Finding a Right Riemann Sum."
Instructional Video
Sophia Learning

Sophia: Finding a Right Riemann Sum: Lesson 5

9th - 10th
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 5 of 7 in the series titled "Finding a Right Riemann Sum."
Instructional Video
Sophia Learning

Sophia: Finding Inflection Points: Lesson 9

9th - 10th
Locating inflection points on a graph and using them to interpret the shape of the graph are demonstrate here. This lesson is 9 of 9 in the series titled "Finding Inflection Points."
Instructional Video
Sophia Learning

Sophia: Relative Extrema: Lesson 2

9th - 10th Standards
This lesson explains how extrema can be located within closed intervals when their derivatives are zero. It is 2 of 5 in the series titled "Relative Extrema."
Instructional Video
Sophia Learning

Sophia: Second Fundamental Theorem of Calculus: Lesson 4

9th - 10th
The process of applying the limits of integration for a definite integral is introduced here. This lesson is 4 of 5 in the series titled "Second Fundamental Theorem of Calculus."
Instructional Video
Sophia Learning

Sophia: Creating a Horizontal Bar Graph

5th - 8th
This video lesson goes over the steps for constructing a horizontal bar graph.
Instructional Video
Sophia Learning

Sophia: Finding a Right Riemann Sum: Lesson 1

9th - 10th
This lesson shows how to use a right Riemann sum to approximate the area under a given interval of a function. It is 1 of 7 in the series titled "Finding a Right Riemann Sum."