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# Equations of Proportional Relationships - Who needs a table?

Lesson 6 of 14

## Objective: Students will be able to determine the constant of proportionality and use it to write an equation for 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 identify the constant of proportionality and write an 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).

**Thoughts from Me! **This lesson requires that students look for repeated reasoning, which will help them to determine if a relationship is proportional or not (**mathematical practice 8**). Students will be required to develop models for real world problems (**mathematical practice 4**) as well as reason through problems (**mathematical practice 2**).

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#### Summary + Homework

*5 min*

**Instructional Strategy - Table Discussion: ** To summarize this lesson, I will have students have a table discussion on the question: How is writing an equation helpful for solving problems? I want to hear students discussing how writing the equation makes it easier because you can just multiply to find answers to large problems, instead of having to continue a pattern in a table.

**Homework:** As students are having their table discussion, I will pass out the night’s assignment.

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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
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- UNIT 7: Geometric Figures
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- 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!