##
* *Reflection: Flexibility
System of Equations Day 1 of 2 - Section 2: Introduction to Systems

One of my favorite things about teaching is that even though I cover the same curriculum each year, my students are always different. Each group has its own strengths and weaknesses. This year, due to a whole myriad of reasons my students came to me with some holes in their knowledge. A solid understanding of systems was one of these holes. I had to add today’s lesson plus some extra practice to get my students where I wanted them. The discussion on the strengths and weaknesses of the different methods of solving systems folded into this. I did give the students some time to brainstorm with their partners as a certain number were ready to have some ideas and opinions. I used the resulting class discussion to firm up the remaining students’ knowledge. Here is a sample of some Student Notes from that class discussion. It is our responsibility as teachers to diagnose this type of issue in our students and adjust our lessons accordingly. Next year, I may have students that are more prepared and will need less time. That is the fun of being a teacher, you never know what you are going to get.

*Flexibility: Why Teaching Is Still Interesting After 11 Years*

# System of Equations Day 1 of 2

Lesson 7 of 24

## Objective: Students will be able to explain why a given method is the best choice to solve system of equations.

#### Warm up and Homework Check

*10 min*

I include Warm ups with a Rubric as part of my daily routine. My goal is to allow students to work on **Math Practice 3** each day. Grouping students into homogeneous pairs provides an opportunity for appropriately differentiated math conversations. This lesson’s Warm Up- Systems of Equations Day 1 model a linear situation which is the introductory example in today's lesson.

I also use this time to correct and record the previous day's Homework.

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#### Introduction to Systems

*37 min*

As I got into this unit, I realized that my students were not prepared for systems of equations. I needed an additional day of practice before they were even ready for my original modeling systems lesson. With that in mind, this lesson should only be taught when a large portion of students show little to no memory of the algebraic forms of solving systems.

This lesson consists of an initial demonstration of the different methods of solving a system using the warm up problem, a short discussion on the strength and weaknesses of these methods (**Math Practice 5**), and some guided practice. Detailed presentation notes can be found in the PowerPoint. In the next lesson, some of these topics will be visited again but students will be more confident in their discussions and we can focus on the whys over the hows to each method.

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#### Exit Ticket

*3 min*

I use an exit ticket each day as a quick formative assessment to judge the success of the lesson.

Today’s Exit Ticket- Systems of Equations Day 1 asks student to solve a system of equations.

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- UNIT 1: Modeling with Expressions and Equations
- UNIT 2: Modeling with Functions
- UNIT 3: Polynomials
- UNIT 4: Complex Numbers and Quadratic Equations
- UNIT 5: Radical Functions and Equations
- UNIT 6: Polynomial Functions
- UNIT 7: Rational Functions
- UNIT 8: Exponential and Logarithmic Functions
- UNIT 9: Trigonometric Functions
- UNIT 10: Modeling Data with Statistics and Probability
- UNIT 11: Semester 1 Review
- UNIT 12: Semester 2 Review

- LESSON 1: Mathematical Modeling: Properties of Functions Day 1 of 2
- LESSON 2: Mathematical Modeling: Properties of Functions Day 2 of 2
- LESSON 3: Mathematical Modeling: Linear Functions
- LESSON 4: Mathematical Modeling: Linear Functions Design Project
- LESSON 5: Finding Equations of Parallel and Perpendicular Lines
- LESSON 6: Inverse Functions
- LESSON 7: System of Equations Day 1 of 2
- LESSON 8: Systems of Equations Day 2 of 2
- LESSON 9: Modeling Systems of Equations
- LESSON 10: Function Review
- LESSON 11: Function Mid Test
- LESSON 12: The Tortoise and The Hare Project Day 1
- LESSON 13: The Tortoise and The Hare Project Day 2
- LESSON 14: The Tortoise and The Hare Project Day 3
- LESSON 15: The Tortoise and the Hare Project Day 4
- LESSON 16: The Tortoise and the Hare Piece-wise Functions
- LESSON 17: Step Functions
- LESSON 18: Absolute Value Equations
- LESSON 19: Absolute Value Inequalities
- LESSON 20: Absolute Value Functions: Transformations Day 1
- LESSON 21: Absolute Value Functions: Transformations Day 2
- LESSON 22: Functions Test Review Day 1
- LESSON 23: Functions Test Review Day 2
- LESSON 24: Functions Test