Instructional Video
Sophia Learning

Sophia: Finding a Hole in the Graph: Lesson 6

9th - 10th
This lesson demonstrates how to find the hole in a given rational equation. It is 6 of 7 in the series titled "Finding a Hole in the Graph."
Instructional Video
Sophia Learning

Sophia: Finding a Hole in the Graph: Lesson 1

9th - 10th
This lesson demonstrates how to find the hole in a given rational equation. It is 1 of 7 in the series titled "Finding a Hole in the Graph."
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: Multiplication and Zero: Lesson 7

7th - 8th
The video introduces the concept of multiplication by zero, which will always yield an answer of zero. This lesson is 7 of 7 in the series titled "Multiplication and Zero."
Instructional Video
Sophia Learning

Sophia: Relative Extrema: Lesson 1

9th - 10th
This lesson explains how extrema can be located within closed intervals when their derivatives are zero. It is 1 of 5 in the series titled "Relative Extrema."
Instructional Video
Sophia Learning

Sophia: Rolle's Theorem: Lesson 3

9th - 10th
Rolle's theorem and when it can be applied to a function are discussed in this lesson. It is 3 of 6 in the series titled "Rolle's Theorem."
Instructional Video
Sophia Learning

Sophia: Rolle's Theorem: Lesson 5

9th - 10th
Rolle's theorem and when it can be applied to a function are discussed in this lesson. It is 5 of 6 in the series titled "Rolle's Theorem."
Instructional Video
Sophia Learning

Sophia: Rolle's Theorem: Lesson 6

9th - 10th
Rolle's theorem and when it can be applied to a function are discussed in this lesson. It is 6 of 6 in the series titled "Rolle's Theorem."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 12

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 12 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 14

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 14 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 3

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 3 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 5

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 5 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 7

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 7 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Roots of Polynomial Factors: Lesson 1

9th - 10th Standards
Covered in this lesson is how to determine the zero of a polynomial by setting the polynomial equal to zero. It is 1 of 14 in the series titled "Roots of Polynomial Factors."
Instructional Video
Sophia Learning

Sophia: Sign in Quadratic Factoring: Lesson 2

9th - 10th Standards
This lesson explains the importance of and how to recognize signs and patterns in quadratic factoring. It is 2 of 6 in the series titled "Sign in Quadratic Factoring."
Instructional Video
Sophia Learning

Sophia: Sign in Quadratic Factoring: Lesson 3

9th - 10th
This lesson explains the importance of and how to recognize signs and patterns in quadratic factoring. It is 3 of 6 in the series titled "Sign in Quadratic Factoring."
Instructional Video
Sophia Learning

Sophia: Unreal Roots: Lesson 3

9th - 10th Standards
This lesson will demonstrate how to determine if a quadratic equation has unreal roots. It is 3 of 10 in the series titled "Unreal Roots."
Instructional Video
Sophia Learning

Sophia: Unreal Roots: Lesson 5

9th - 10th
This lesson will demonstrate how to determine if a quadratic equation has unreal roots. It is 5 of 10 in the series titled "Unreal Roots."
Instructional Video
Sophia Learning

Sophia: Unreal Roots: Lesson 7

9th - 10th
This lesson will demonstrate how to determine if a quadratic equation has unreal roots. It is 7 of 10 in the series titled "Unreal Roots."
Instructional Video
Sophia Learning

Sophia: Unreal Roots: Lesson 1

9th - 10th Standards
This lesson will demonstrate how to determine if a quadratic equation has unreal roots. It is 1 of 10 in the series titled "Unreal Roots."
Instructional Video
Sophia Learning

Sophia: Using the Quadratic Formula: Lesson 10

9th - 10th Standards
This lesson describes how to use the quadratic formula to determine the solution of a quadratic equation in a specific format. It is 10 of 16 in the series titled "Using the Quadratic Formula."