# Problem Solving Connections - Can you apply what you know about proportional reasoning?

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## Objective

Students will be able to apply aspects of proportional reasoning including unit rates, graphs, tables, and equations to work a real world problem.

#### Big Idea

If it doesn't apply, I don't care - heard that before? Well, this lesson applies what students have learned about proportional reasoning!

## Launch

10 minutes

OpenerAs students enter the room, they will immediately pick up and begin working on the opener – Instructional Strategy - Process for openers.  This method of working and going over the opener lends itself to allow students to construct viable arguments and critique the reasoning of others, which is mathematical practice 3

Learning Target:  After completion of the opener, I will address the day’s learning targets to the students.  In today’s lesson, the intended target is, “I can apply what I know about unit rates and proportional relationships to solve a real world problem.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day).

Thoughts from Me! In this lesson, students will be looking for patterns and repeated reasoning, and drawing conclusions (mathematical practices 7 and 8).  Using real world problems, students will create graphs (mathematical practice 4) and given a graph, students will be able to determine an equation and whether or not the relationship is proportional (mathematical practice 2). It will be important that students pay close attention to precision (mathematical practice 6), and use tools (calculator, graph, table) as needed (mathematical practice 5).

45 minutes

## Summary

5 minutes

Instructional Strategy - Table DiscussionTo summarize this lesson, I will have students have a table discussion on the question:  What are all the ways you can identify the constant of proportionality?