## Reflection: Rigor Solving Non-linear Systems of Equations - Section 1: Entry Ticket: Comparing Stocks (Linear and Exponential Growth)

In this Entry Ticket I ask students to not only create a graph involving a system comprised of a linear and an exponential function, but also compose a written response to interpret the scenario.

I purposively put in two different types of functions for this Entry ticket because I want students to persevere in problem solving. At this point in the school year, I have covered the general characteristics of exponential functions, but only briefly in the opening unit on functions. I want students to utilize the tools they have to be able to work on a complex task like today's Entry Ticket.

This Entry Ticket went well in class, partially because I was cognizant to give students more time than usual to process and work on the problem in groups. The more I teach, the more I see the benefit to providing students with real life and relevant problems that help frame the lesson as an entry ticket/opener. When I implement high quality and engaging entry ticket, the class tends to go smoother and student motivation and engagement tend to be higher.

Rigor: Comparing and Contrasting to Develop Critical Thinking Skills

# Solving Non-linear Systems of Equations

Unit 4: Making Informed Decisions with Systems of Equations
Lesson 7 of 12

## Big Idea: Students create and interpret non-linear systems of equations and use technology to find and understand the solution(s)!

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80 minutes

### Jason Colombino

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