Instructional Video
Sophia Learning

Sophia: Finding a Rule: Lesson 1

9th - 10th
Given a portion of an infinite sequence, this lesson has students practicing finding a rule that describes it. It is 1 of 7 in the series titled "Finding a Rule."
Instructional Video
Sophia Learning

Sophia: Monotonic Sequences: Lesson 2

9th - 10th
Sequences that are always rising or always falling are discussed here. This lesson is 2 of 5 in the series titled "Monotonic Sequences."
Instructional Video
Sophia Learning

Sophia: Monotonic Sequences: Lesson 3

9th - 10th
Sequences that are always rising or always falling are discussed here. This lesson is 3 of 5 in the series titled "Monotonic Sequences."
Instructional Video
Sophia Learning

Sophia: Monotonic Sequences: Lesson 1

9th - 10th
Sequences that are always rising or always falling are discussed here. This lesson is 1 of 5 in the series titled "Monotonic Sequences."
Instructional Video
Sophia Learning

Sophia: Sequence and Functions: Lesson 2

9th - 10th
This lesson teaches students how to relate a sequence to a function with a known limit. It is 2 of 4 in the series titled "Sequence and Functions."
Instructional Video
Sophia Learning

Sophia: Sequence and Functions: Lesson 3

9th - 10th
This lesson teaches students how to relate a sequence to a function with a known limit. It is 3 of 4 in the series titled "Sequence and Functions."
Instructional Video
Sophia Learning

Sophia: Sequence Limit Laws: Lesson 3

9th - 10th
This lesson teaches students about the limit laws used to manipulate sequences. It is 3 of 6 in the series titled "Sequence Limit Laws."
Instructional Video
Sophia Learning

Sophia: Sequence Limit Laws: Lesson 4

9th - 10th
This lesson teaches students about the limit laws used to manipulate sequences. It is 4 of 6 in the series titled "Sequence Limit Laws."
Instructional Video
Sophia Learning

Sophia: Using a Function to Find a Limit: Lesson 2

9th - 10th
Given a sequence, this lesson demonstrates how to relate it to a function to find the limit. It is 2 of 7 in the series titled "Using a Function to Find a Limit."
Instructional Video
Sophia Learning

Sophia: Using a Function to Find a Limit

9th - 10th
Given a sequence, this lesson demonstrates how to relate it to a function to find the limit.
Instructional Video
Sophia Learning

Sophia: Using a Function to Find a Limit: Lesson 4

9th - 10th
Given a sequence, this lesson demonstrates how to relate it to a function to find the limit. It is 4 of 7 in the series titled "Using a Function to Find a Limit."
Instructional Video
Sophia Learning

Sophia: Using a Function to Find a Limit: Lesson 6

9th - 10th
Given a sequence, this lesson demonstrates how to relate it to a function to find the limit. It is 6 of 7 in the series titled "Using a Function to Find a Limit."
Instructional Video
Sophia Learning

Sophia: Using the Ratio Test: Lesson 2

9th - 10th
This lesson will have students practice using the ratio test to find a radius of convergence. It is 2 of 6 in the series titled "Using the Ratio Test."
Instructional Video
Sophia Learning

Sophia: Using the Ratio Test: Lesson 4

9th - 10th
This lesson will have students practice using the ratio test to find a radius of convergence. It is 4 of 6 in the series titled "Using the Ratio Test."
Instructional Video
Sophia Learning

Sophia: Using the Ratio Test: Lesson 6

9th - 10th
This lesson will have students practice using the ratio test to find a radius of convergence. It is 6 of 6 in the series titled "Using the Ratio Test."
Instructional Video
Sophia Learning

Sophia: Using the Ratio Test: Lesson 1

9th - 10th
This lesson will have students practice using the ratio test to find a radius of convergence. It is 1 of 6 in the series titled "Using the Ratio Test."
Instructional Video
Sophia Learning

Sophia: Convergent Sequences: Lesson 2

11th - 12th
Sequences that converge are introduced here. This lesson is 2 of 6 in the series titled "Convergent Sequences." [2:49]
Instructional Video
Sophia Learning

Sophia: Convergent Sequences: Lesson 3

11th - 12th
Sequences that converge are introduced here. This lesson is 3 of 6 in the series titled "Convergent Sequences." [3:49]
Instructional Video
Sophia Learning

Sophia: Convergent Sequences: Lesson 4

11th - 12th
Sequences that converge are introduced here. This lesson is 4 of 6 in the series titled "Convergent Sequences." [2:00]
Instructional Video
Sophia Learning

Sophia: Convergent Sequences: Lesson 5

11th - 12th
Sequences that converge are introduced here. This lesson is 5 of 6 in the series titled "Convergent Sequences." [1:32]
Instructional Video
Sophia Learning

Sophia: Convergent Sequences: Lesson 1

11th - 12th
Sequences that converge are introduced here. This lesson is 1 of 6 in the series titled "Convergent Sequences." [2:21]
Instructional Video
Sophia Learning

Sophia: Convergent Series: Lesson 2

11th - 12th
The concept of a series that converges to a particular sum is discussed here. This lesson is 2 of 4 in the series titled "Convergent Series." [2:36]
Instructional Video
Sophia Learning

Sophia: Convergent Series: Lesson 4

11th - 12th
The concept of a series that converges to a particular sum is discussed here. This lesson is 4 of 4 in the series titled "Convergent Series." [2:26]
Instructional Video
Sophia Learning

Sophia: Finding a Rule: Lesson 3

9th - 10th
Given a portion of an infinite sequence, this lesson has students practicing finding a rule that describes it. It is 3 of 7 in the series titled "Finding a Rule."