HSN-VM.C.6

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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.6

## (+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

13 Lesson(s)

Big Idea:

#### Matrices give us a way to organize and analyze data

Standards:

Favorites
(7)

Resources
(24)

Reflections
(3)

### 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)

### 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:

#### Students answer questions on their personal response systems to guide the review for the test.

Standards:

Resources
(6)

### 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)

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)

### Determinants and Area of a Triangle (Day 1 of 2)

12th Grade Math »
Unit: Matrices

12th Grade Math »
Unit: Matrices

Big Idea:

#### Students discover a method to calculate the determinant of a 2x2 matrix and practice using an inner-outer circles activity.

Standards:

Favorites
(1)

Resources
(15)

### 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)

### 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:

#### Students will demonstrate their learning of Matrices in this formal assessment.

Standards:

Resources
(3)

Big Idea:

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

Standards:

Resources
(4)

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HS Algebra

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