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 Secant and Cosecant Asymptotes: Lesson 2

9th - 10th Standards
The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 2 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."
Instructional Video
Sophia Learning

Sophia: Finding Secant and Cosecant Asymptotes: Lesson 3

9th - 10th Standards
The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 3 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."
Instructional Video
Sophia Learning

Sophia: Finding the Asymptotes of Tangent and Cotangent: Lesson 3

9th - 10th Standards
The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 3 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."
Instructional Video
Sophia Learning

Sophia: Secant and Cosine: Lesson 3

9th - 10th Standards
Relationships between the graphs of secant and cosine are explored in this lesson. It is 3 of 5 in the series titled "Secant and Cosine."
Instructional Video
Sophia Learning

Sophia: Vertically Shifting the Graph of Tangent and Cotangent: Lesson 5

9th - 10th
The shifting of the graphs of tangent and cotangent functions in the vertical direction is shown here. This lesson is 5 of 7 in the series titled "Vertically Shifting the Graph of Tangent and Cotangent."
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."