Heather
Stephan
WESTERN MIDDLE,
ELON,
NC

7th Grade Math :
Unit #2 - Proportional Reasoning :
Lesson #10

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

1 Launch -
10 minutes

**Opener: **As 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). **

resources

Problem Solving Connections Opener.docx

https://betterlesson.com/lesson/resource/1966946/opener
2 Explore -
45 minutes

Problem Solving Connections Explore Narrative.wmv

https://betterlesson.com/lesson/section/4221/problem-solving-connections-can-you-apply-what-you-know-about-proportional-reasoning
resources

Problem Solving Connections Activity.docx

https://betterlesson.com/lesson/resource/1966949/problem-solving-connections-activity
Problem Solving Connections Smartboard.pdf

https://betterlesson.com/lesson/resource/1966947/problem-solving-connections-smartboard-pdf
Problem Solving Connections Smartboard.notebook

https://betterlesson.com/lesson/resource/1966948/problem-solving-connections-smartboard-notebook
Activity Reflection

Data Analysis

For some very odd reason, the biggest misconception I encountered was students deciding to calculate the unit rate and then multiply it by ten?! I sat with one group, and when I asked why they multiplied by ten, they said because 4 miles per hour didn't sound fast - well, then it hit me, they were trying to make the unit rate into miles per hour - but really it was given to them in miles per minute! I was concerned going into the lesson that I was going to have to walk them through it, but I was pleasantly surprised. I partnered the kids homogeneously and they were able to dive right in.

I have stuck with the kids not being able to use calculators, and it has been really helpful I think in tweaking their skills with rational numbers. Instead of freaking out that the table consisted of fractions, they just got to work :)

Student Work.pdf

https://betterlesson.com/lesson/resource/2280320/student-work-pdf
3 Summary -
5 minutes

Instructional Strategy - Table Discussion**: **To 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?