##
* *Reflection: Student Ownership
Matrices in the World Around Us - Section 1: Warm-Up

During today's warm-up, I was pretty hands off with my students. If they expressed that they were having difficulties I encouraged students to refer to their notes from yesterday. I think that it is important for students to take the initiative to review the necessary skills. They should know everything that they need to in order to complete these tasks.Their mathematical practices should support their work as they pull it all together.

By the end of today's lesson I want all of my students to be comfortable with the procedure and to have a general understanding of matrix multiplication, using numerical and algebraic terms.

*Keeping my distance to promote autonomy*

*Student Ownership: Keeping my distance to promote autonomy*

# Matrices in the World Around Us

Lesson 2 of 12

## Objective: SWBAT use matrices to represent and manipulate data.

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

*50 minutes*

#### Warm-Up

*3 min*

At the start of today's lesson students will complete* ***Clicker Questions** as a Warm-Up. The questions review the skill of multiplying two matrices. In these tasks, the matrix entries are algebraic terms in order to review operations with polynomials and to discourage the use of a calculator. I will give students enough time to complete this Warm-Up by hand.

**Teaching Note: **It is important to have students seated in teams today. I will group students in homogeneous ability groups. I am worried that if I use mixed ability groups, the stronger students will make all the connections!

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#### Closure + Homework

*7 min*

To wrap-up today’s learning I will have students complete a **Think-Pair-Share**** **while brainstorming and reflecting on examples of where matrices can be applied in business or other professions. Each group of students will share the best idea they came up with as a group. I hope that this activity will help all students to see numerous ways that matrices can be applied in everyday occupations.

For homework tonight I will assign Matrices Homework 2 - Knoxville Nobles Problem.

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

- LESSON 1: Basic Matrix Operations
- LESSON 2: Matrices in the World Around Us
- LESSON 3: Determinants and Area of a Triangle (Day 1 of 2)
- LESSON 4: Determinants and Area of a Triangle (Day 2 of 2)
- LESSON 5: Inverses of Matrices
- LESSON 6: Applications of Inverses - Decoding
- LESSON 7: Solving Systems of Equations using Inverse Matrix Operations
- LESSON 8: Cramers Rule - Solving Systems of Equations
- LESSON 9: Determining the Matrix for Transformations
- LESSON 10: Matrix Transformations
- LESSON 11: Matrices Test Review
- LESSON 12: Matrices Exam