Instructional Video
Sophia Learning

Sophia: Cosecant and Sine: Lesson 1

10th - 12th
Relationships between the graphs of cosecant and sine are explored in this lesson. It is 1 of 5 in the series titled "Cosecant and Sine." [3:03]
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: Finding Secant and Cosecant Asymptotes: Lesson 5

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 5 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."
Instructional Video
Sophia Learning

Sophia: Finding the Asymptotes of Tangent and Cotangent: Lesson 2

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 2 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."
Instructional Video
Sophia Learning

Sophia: Finding the Asymptotes of Tangent and Cotangent: Lesson 5

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 5 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."
Instructional Video
Sophia Learning

Sophia: Finding the Asymptotes of Tangent and Cotangent: Lesson 6

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 6 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."
Instructional Video
Sophia Learning

Sophia: Finding the Horizontal Asymptote of a Rational Equation: Lesson 4

9th - 10th
This lesson shows how to find the horizontal asymptote for a rational equation. It is 4 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Horizontal Asymptote of a Rational Equation: Lesson 7

9th - 10th
This lesson shows how to find the horizontal asymptote for a rational equation. It is 7 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 3

9th - 10th Standards
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 3 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 5

9th - 10th Standards
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 5 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 6

9th - 10th Standards
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 6 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 7

9th - 10th
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 7 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Finding the Slant Asymptote of a Rational Equation: Lesson 1

9th - 10th Standards
The process of determining the equation for a slant asymptote of a rational equation is shown in this lesson. It is 1 of 7 in the series titled "Finding the Slant Asymptote of a Rational Equation."
Instructional Video
Sophia Learning

Sophia: Secant and Cosine: Lesson 2

9th - 10th Standards
Relationships between the graphs of secant and cosine are explored in this lesson. It is 2 of 5 in the series titled "Secant and Cosine."
Instructional Video
Sophia Learning

Sophia: Secant and Cosine: Lesson 4

9th - 10th Standards
Relationships between the graphs of secant and cosine are explored in this lesson. It is 4 of 5 in the series titled "Secant and Cosine."
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations: Lesson 2

9th - 10th
Vertical asymptotes and how they relate to rational equations is discussed here. This lesson is 2 of 4 in the series titled "Vertical Asymptotes in Rational Equations."
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations: Lesson 4

9th - 10th
Vertical asymptotes and how they relate to rational equations is discussed here. This lesson is 4 of 4 in the series titled "Vertical Asymptotes in Rational Equations."
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations

9th - 10th Standards
Vertical asymptotes and how they relate to rational equations is discussed here.
Instructional Video
Sophia Learning

Sophia: Vertically Shifting the Graph of Secant and Cosecant: Lesson 4

9th - 10th
This lesson shows how the graphs of secant and cosecant functions can be shifted vertically. It is 4 of 7 in the series titled "Vertically Shifting the Graph of Secant and Cosecant."
Instructional Video
Sophia Learning

Sophia: Vertically Shifting the Graph of Secant and Cosecant: Lesson 5

9th - 10th
This lesson shows how the graphs of secant and cosecant functions can be shifted vertically. It is 5 of 7 in the series titled "Vertically Shifting the Graph of Secant and Cosecant."