HSN-VM.C.9

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- HSN-VM.C.6(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.
- HSN-VM.C.7(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.
- HSN-VM.C.8(+) Add, subtract, and multiply matrices of appropriate dimensions.
- HSN-VM.C.9(+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
- HSN-VM.C.10(+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
- HSN-VM.C.11(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
- HSN-VM.C.12(+) Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.

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## HSN-VM.C.9

## (+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

6 Lesson(s)

### Forecasting Sales and Calculating Revenue - Day 1 of 2

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Matrix multiplication is needed for the Purrrrrfect Cat Toy Company!

Standards:

Favorites
(3)

Resources
(15)

Reflections
(2)

### Applications of Inverses - Decoding

12th Grade Math »
Unit: Matrices

12th Grade Math »
Unit: Matrices

Big Idea:

#### Students use matrices to decode messages that lead to a hidden treasure in the classroom.

Standards:

Favorites
(3)

Resources
(17)

### Forecasting Sales and Calculating Revenue - Day 2 of 2

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Matrix multiplication is needed for the Purrrrrfect Cat Toy Company!

Standards:

Favorites
(1)

Resources
(6)

### Do Matrices Work Like Real Numbers?

12th Grade Math »
Unit: Matrices

12th Grade Math »
Unit: Matrices

Big Idea:

#### Through exploration students discover that some properties of real numbers will not exist for matrices.

Standards:

Favorites
(1)

Resources
(14)

Big Idea:

#### Through a scratch off game students review important concepts of matrices

Standards:

Favorites
(1)

Resources
(11)

Big Idea:

#### Through an assessment students demonstrate proficiency with matrices.

Standards:

Resources
(4)

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Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School