HSN-VM.C.8

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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.8

## (+) Add, subtract, and multiply matrices of appropriate dimensions.

17 Lesson(s)

### The Purrrrrfect Cat Toy Company

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Matrices are perfect for large data sets - monthly sales for cat toys are analyzed and matrix operations are introduced.

Standards:

Favorites
(13)

Resources
(15)

Reflections
(1)

### 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)

### Manufacturing Cat Toys (Day 1 of 2)

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Get students thinking about how to solve systems of equations using matrices.

Standards:

Favorites
(3)

Resources
(13)

Reflections
(1)

### Market Research with a Markov Chain

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### A Markov chain combines matrices and probability in order to analyze the Purrrrrfect Cat Toy's market share.

Standards:

Resources
(14)

Reflections
(1)

### Digital Images

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Digital photos can be easily altered on your cell phone, but what's the math behind it?

Standards:

Favorites
(5)

Resources
(10)

Big Idea:

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

Standards:

Favorites
(4)

Resources
(18)

Reflections
(1)

### Unit Assessment: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Resources
(3)

Big Idea:

#### How can multiplying matrices be used to analyze data?

Standards:

Favorites
(3)

Resources
(27)

Reflections
(4)

Big Idea:

#### Students are excited to start a new unit where they find they already have a ton of prior knowledge and the math feels intuitive.

Standards:

Favorites
(2)

Resources
(18)

Reflections
(1)

Big Idea:

#### Students use matrices to model real world problems and discover matrices can be quite useful in business mathematics.

Standards:

Favorites
(1)

Resources
(18)

Reflections
(2)

### Unit Review and Cryptography

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Cryptography is a good culminating activity for this unit.

Standards:

Favorites
(1)

Resources
(6)

### Jet-Setting to the Purrrrrfect Cat Toy Offices

12th Grade Math »
Unit: Matrices and Systems

12th Grade Math »
Unit: Matrices and Systems

Big Idea:

#### Matrices take on a different feel as we use them to represent available flights between airports.

Standards:

Favorites
(3)

Resources
(13)

Reflections
(1)

### 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)

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