Sophia Learning
Sophia: Two Dimensions: Lesson 7
This lesson will explore the definition, depiction, and location of three dimensional objects. It is 7 of 7 in the series titled "Two Dimensions."
Sophia Learning
Sophia: Using Matrices to Organize Data: Lesson 4
This lesson provides real-world examples that demonstrate how to organize data into matrices. It is 4 of 5 in the series titled "Using Matrices to Organize Data." [8:40]
Sophia Learning
Sophia: Zero Dimensions: Lesson 6
Through this lesson, you'll learn the definition, depiction, and location of zero dimensions and zero dimensional objects. It is 6 of 7 in the series titled "Zero Dimensions."
Massachusetts Institute of Technology
Mit: Science Out Loud: Trippy Shapes
In school, we learn about shapes with sides and edges - but there are weird shapes out there (beyond our 3 dimensions) that defy our normal idea of geometry. QuanQuan and Jenny explain, knit, and 3D print their way through trippy shapes!...
Crash Course
Crash Course Physics #4: Vectors and 2 D Motion
The scientists from Crash Course Physics introduce the ideas of vectors and scalars so we can better understand how to figure out motion in 2 Dimensions. [10:05]
Khan Academy
Khan Academy: Two Step Word Problem: Garden
Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Sal Khan creates an equation to solve. [2:02]
Khan Academy
Khan Academy: Linear Algebra: Dimension of the Column Space or Rank
Video shows how to find the basis and dimension of the column space by finding its reduced row echelon form and using the columns corresponding to the pivot columns as the basis. Explains that rank is the dimension of the column space....
Khan Academy
Khan Academy: Linear Algebra: Proof: Any Subspace Basis Has Same Number Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension. This video also appears in the strand Algebra: Matrices. [21:25]
Sophia Learning
Sophia: Diagonals in Regular Polygons
In this video tutorial, the instructor uses data to derive the formula to solve for number of diagonals in a regular polygon. Assess understanding with a quiz. [5:43]
Sophia Learning
Sophia: Matrices
This lesson will introduce matrices and how to determine their dimensions.
Sophia Learning
Sophia: Relationships Between Dimensions: Lesson 2
This lesson takes you through how objects in upper dimensions can be depicted in lower dimensions and vice versa. It is 2 of 6 in the series titled "Relationships Between Dimensions."
Sophia Learning
Sophia: Relationships Between Dimensions: Lesson 5
This lesson takes you through how objects in upper dimensions can be depicted in lower dimensions and vice versa. It is 5 of 6 in the series titled "Relationships Between Dimensions."
Sophia Learning
Sophia: Scalar Multiplication: Lesson 2
This lesson will introduce scalars, and demonstrate how to perform scalar multiplication with matrices. It is 2 of 10 in the series titled "Scalar Multiplication." [3:01]
Sophia Learning
Sophia: Scalar Multiplication: Lesson 5
This lesson will introduce scalars, and demonstrate how to perform scalar multiplication with matrices. It is 5 of 10 in the series titled "Scalar Multiplication."
Sophia Learning
Sophia: Scalar Multiplication: Lesson 9
This lesson will introduce scalars, and demonstrate how to perform scalar multiplication with matrices. It is 9 of 10 in the series titled "Scalar Multiplication."
Sophia Learning
Sophia: Two Dimensions: Lesson 4
This lesson will explore the definition, depiction, and location of three dimensional objects. It is 4 of 7 in the series titled "Two Dimensions."
Sophia Learning
Sophia: Two Dimensions: Lesson 1
This lesson will explore the definition, depiction, and location of three dimensional objects. It is 1 of 7 in the series titled "Two Dimensions."
Sophia Learning
Sophia: Using Matrices to Organize Data: Lesson 3
This lesson provides real-world examples that demonstrate how to organize data into matrices. It is 3 of 5 in the series titled "Using Matrices to Organize Data." [4:43]
Sophia Learning
Sophia: Using Matrices to Organize Data: Lesson 5
This lesson provides real-world examples that demonstrate how to organize data into matrices. It is 5 of 5 in the series titled "Using Matrices to Organize Data." [2:51]
Sophia Learning
Sophia: Zero Dimensions: Lesson 5
Through this lesson, you'll learn the definition, depiction, and location of zero dimensions and zero dimensional objects. It is 5 of 7 in the series titled "Zero Dimensions."
Sophia Learning
Sophia: Relationships Between Dimensions: Lesson 3
This lesson takes you through how objects in upper dimensions can be depicted in lower dimensions and vice versa. It is 3 of 6 in the series titled "Relationships Between Dimensions."