HSN-VM.C.7

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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.7

## (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

8 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)

Big Idea:

#### What mathematical operations can be done with matrices?

Standards:

Favorites
(3)

Resources
(18)

Reflections
(1)

### Determinants and Area of a Triangle (Day 2 of 2)

12th Grade Math »
Unit: Matrices

12th Grade Math »
Unit: Matrices

Big Idea:

#### Students struggle to find the area of a variety of triangles; they learn a quick way to find the area using determinants.

Standards:

Resources
(16)

### 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)

### Formative Assessment: Matrices

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Assess your students' understanding of matrices with a quiz.

Standards:

Favorites
(1)

Resources
(6)

### Organizing and Calculating Data with Matrices

Algebra I »
Unit: Statistics

Algebra I »
Unit: Statistics

Big Idea:

#### To understand the vocabulary of Matrices including rows, columns, and addresses to set up a Real World Problem. As well as perform Multi-step Operations to that problem.

Standards:

Favorites
(1)

Resources
(15)

Reflections
(2)

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)

Common Core Math

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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Second Grade

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Fifth Grade

Sixth Grade

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Ninth and Tenth Grade

Kindergarten

First grade

Second grade

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