Examples for

Common Core Math: High School Number & Quantity: Vectors & Matrices

Reserved for advanced high school courses, this domain covers arrays of numbers known as vectors and matrices. Students learn how to represent and perform calculations with vectors, including computing their magnitudes and interpreting them geometrically. Students also learn how to perform computations with matrices, including matrix arithmetic, finding their determinants and inverses and reasoning with identity matrices. Students may be introduced to the concept of a matrix as a transformation of a vector and use matrices to represent linear transformations such as reflections, rotations and dilations.

Vectors

Define vectors and their properties.

Recognize and interpret vectors (CCSS.Math.Content.HSN-VM.A.1):

Compute the magnitude of a vector (CCSS.Math.Content.HSN-VM.A.1):

Matrices

Define and perform computations with matrices, including in the context of transforming vectors.

Multiply a matrix by a scalar (CCSS.Math.Content.HSN-VM.C.7):

Add, subtract and multiply matrices (CCSS.Math.Content.HSN-VM.C.8):

Explore uses of the zero matrix and the identity matrix (CCSS.Math.Content.HSN-VM.C.10):

Multiply a matrix by a vector (CCSS.Math.Content.HSN-VM.C.11):

Use matrices to represent transformations (CCSS.Math.Content.HSN-VM.C.12):

Determine key features of matrices (CCSS.Math.Content.HSN-VM.C.12):

Vector Arithmetic

Perform addition, subtraction and scalar multiplication with vectors.

Add vectors (CCSS.Math.Content.HSN-VM.B.4):

Subtract vectors (CCSS.Math.Content.HSN-VM.B.4c):

Multiply a vector by a scalar (CCSS.Math.Content.HSN-VM.B.5a):

Determine magnitude and direction of a scalar multiple of a vector (CCSS.Math.Content.HSN-VM.B.5b):