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: Simple Number Series: Lesson 1

9th - 10th
The purpose of this lesson is to show students that numbers follow specific patterns or sequences. It is 1 of 10 in the series titled "Simple Number Series."
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: 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: Finding a Geometric Formula: Lesson 7

9th - 10th Standards
This lesson demonstrates how to calculate the terms needed to plug into a basic geometric sequence. It is 7 of 10 in the series titled "Finding a Geometric Formula."
Instructional Video
Sophia Learning

Sophia: Finding an Arithmetic Formula: Lesson 1

9th - 10th Standards
During this lesson, you will learn how to calculate the terms needed to solve a basic arithmetic formula. It is 1 of 10 in the series titled "Finding an Arithmetic Formula."
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."
Instructional Video
Sophia Learning

Sophia: Finding the Nth Term Arithmetic: Lesson 2

9th - 10th
This lesson demonstrates how to interpret unknown values for an arithmetic sequence. It is 2 of 10 in the series titled "Finding the Nth Term Arithmetic."
Instructional Video
Sophia Learning

Sophia: Finding the Nth Term Arithmetic: Lesson 6

9th - 10th
This lesson demonstrates how to interpret unknown values for an arithmetic sequence. It is 6 of 10 in the series titled "Finding the Nth Term Arithmetic."
Instructional Video
Sophia Learning

Sophia: Monotonic Sequences: Lesson 5

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

Sophia: Second Tier Pattern of Difference: Lesson 9

9th - 10th
This lesson explains how to look for the pattern of a sequence by taking the difference of sets of terms. It is 9 of 10 in the series titled "Second Tier Pattern of Difference."
Instructional Video
Sophia Learning

Sophia: Sequence Limit Laws: Lesson 2

9th - 10th
This lesson teaches students about the limit laws used to manipulate sequences. It is 2 of 6 in the series titled "Sequence Limit Laws."
Instructional Video
Sophia Learning

Sophia: Sequence Limit Laws: Lesson 5

9th - 10th
This lesson teaches students about the limit laws used to manipulate sequences. It is 5 of 6 in the series titled "Sequence Limit Laws."
Instructional Video
Sophia Learning

Sophia: Simple Number Series: Lesson 3

9th - 10th
The purpose of this lesson is to show students that numbers follow specific patterns or sequences. It is 3 of 10 in the series titled "Simple Number Series."
Instructional Video
Sophia Learning

Sophia: Geometric Sequences Versus Geometric Series

9th - 10th Standards
Explains the difference between a sequence and a series. Explaining that a sequence is a list of numbers and a series is a sum of those numbers.
Instructional Video
Sophia Learning

Sophia: Geometric Sequences Versus Geometric Series

9th - 10th Standards
Explains the difference between a sequence and a series. Explaining that a sequence is a list of numbers and a series is a sum of those numbers.
Instructional Video
Sophia Learning

Sophia: Establishing a Pattern in a Series or Sequence

9th - 10th
This lesson explains what strategies you can use to locate the pattern in a series as well as information about that pattern.
Instructional Video
Sophia Learning

Sophia: Expanding a Series

9th - 10th
In this lesson, you will learn how to plug in all applicable values of n to find expand a series.
Instructional Video
Sophia Learning

Sophia: Error Bounds of Taylor Series: Lesson 4

9th - 10th
This lesson will show students the error bounds of Taylor approximations. It is 4 of 4 in the series titled "Error Bounds of Taylor Series."
Instructional Video
Sophia Learning

Sophia: Expanding a Series: Lesson 1

9th - 10th
In this lesson, you will learn how to plug in all applicable values of n to find expand a series. It is 1 of 10 in the series titled "Expanding a Series."
Instructional Video
Sophia Learning

Sophia: Expanding a Series: Lesson 2

9th - 10th
In this lesson, you will learn how to plug in all applicable values of n to find expand a series. It is 2 of 10 in the series titled "Expanding a Series."