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* *Reflection: Checks for Understanding
Graphing Proportional Relationships - Fluency Practice - Section 3: Summary

This lesson did not start smoothly in terms of correct answers. I was all over the room pinging from one group to another providing assistance through questioning (I don't EVER help during a game, I only step in after I have looked for correct answers). Asking students questions like "what always goes on top?" or "have you written down your coordinates" really helped zone students in on what was important. As the class progressed I was able to step back and groups began to have good discussion that led to correct answers. When I got to the table discussion at the end, I had all tables write down their responses on their white boards so that I could see all answers at once, not just a few. All tables in each of my classes correctly held up something along the lines of find the ratio of y to x. So, class certainly ended on a high :)

*Summary Reflection*

*Checks for Understanding: Summary Reflection*

# Graphing Proportional Relationships - Fluency Practice

Lesson 9 of 14

## Objective: Students will be able to identify the constant of proportionality and equation for the graph of a proportional relationship.

*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 graph proportional relationshipos and I can identify the equation for a proportional relationship.” 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).

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#### Explore

*45 min*

**White Board Practice: **Graphing Practice Explore Video This lesson incorporates several of the mathematical practices. First and foremost, students have to pay close attention to detail - are they setting up the ratio of y to x, or are they reversing it (**mathematical practice 6**). Additionally, students are having to look at problems in a variety of ways - words, graphs, tables, equations - this requires versatility and a good conceptual understanding (**mathematical practice 4**). Though not explicity a tool in terms of technology, students will need to use certain tools to present information - via tables and graphing on the coordinate plane (**mathematical practice 5**). As with all proportional relationships, students will be looking for patterns, constants, that let them know that a relationship is proportional and thus they can write an equation or identify a constant of proportionality (**mathematical practice 7**). Since students are working in groups, they will need to not only reason with one another, but also persevere through problems (**mathematical practices 1 and 3**).

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#### Summary

*5 min*

**Instructional Strategy - Table Discussion:** As a summary to the lesson, I am going to ask students to have a discussion on how to determine the constant of proportionality given a graph. This was a key error made in the previous lesson, so I want to see which students are able to correctly identify it now!

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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!