## Problem Solving Connections Activity - Section 2: Explore

*Problem Solving Connections Activity*

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

Lesson 10 of 14

## 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!

*60 minutes*

#### Launch

*10 min*

**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). **

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#### Summary

*5 min*

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?

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I love your lessons. My EBD SPED class (with varying needs) are able to follow and retain the information. It is tightly sequenced with what seems to be the perfect amount of repetition. Thank you!

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- UNIT 1: Introduction to Mathematical Practices
- UNIT 2: Proportional Reasoning
- UNIT 3: Percents
- UNIT 4: Operations with Rational Numbers
- UNIT 5: Expressions
- UNIT 6: Equations
- UNIT 7: Geometric Figures
- UNIT 8: Geometric Measurement
- UNIT 9: Probability
- UNIT 10: Statistics
- UNIT 11: Culminating Unit: End of Grade Review

- LESSON 1: Introduction to Unit Rates - Learn to be a smart shopper!
- LESSON 2: Unit Rates with Complex Fractions
- LESSON 3: Unit Rates Fluency - Practice makes Perfect!
- LESSON 4: More Unit Rates Fluency - Practice, Practice!
- LESSON 5: Proportional and Nonproportional Relationships - Can you find the constant?
- LESSON 6: Equations of Proportional Relationships - Who needs a table?
- LESSON 7: Equations of Proportional Relationships - Fluency Practice!
- LESSON 8: Graphs of Proportional Relationships - What are the two important characteristics?
- LESSON 9: Graphing Proportional Relationships - Fluency Practice
- LESSON 10: Problem Solving Connections - Can you apply what you know about proportional reasoning?
- LESSON 11: Proportional Reasoning Review - Remember Hollywood Squares?
- LESSON 12: Proportional Reasoning Test - Time to Put it All Together!
- LESSON 13: Proportional Reasoning Remediation/Enrichment
- LESSON 14: Proportional Reasoning Retest - REWIND and Try Again!