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# Inequalities - Negative Rule

Lesson 17 of 22

## Objective: Students will be able to solve and graph inequalities with a negative coefficient for x.

*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. For today's lesson, the intended target is “I can solve and graph inequalities with a negative coefficient.” 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*

**Inequalities Negative Rule Notes: **Inequalities Negative Rule Explore Narrative The keys for this lesson are going to be precision (**mathematical practice 6**), perseverence (**mathematical practice 1**) and reasonableness (**mathematical practice 3**). Students will need to be precise when completing the steps - being careful to remember to flip the sign when dividing by a negative. Students will also be encouraged to check answers from their solution sets - is your answer reasonable? If I choose a random number from your shaded region will it work? Finally, students will need to persevere! Getting inequalities right takes time! The negative rule is tricky, and frustrating - practice practice practice!

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#### Summary

*5 min*

**Instructional Strategy - Table Discussion: **To summarize this lesson, I am going to ask that students have a table discussion considering the question – We flip the sign when we divide by a negative, but what about when we divide into a negative? This is a common question that students have when solving inequalities – so I want to make sure that the question is thoroughly discussed in class. Most likely it will come up during the notes, but since some kids check out during instruction, this summary activity gives the students another opportunity to discuss this common mistake.

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Hi Heather,

I've been really enjoying your lessons on equations and inequalities. Thank you for posting them. In this lesson I just happened to noticed that the homework doesn't seem to have any of the negative coefficients. Am I looking in the wrong place?

| 10 months ago | Reply##### Similar Lessons

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###### Solving Compound Inequalities

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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: One Step Equations
- LESSON 2: One Step Practice - If you are allowed to use tools....USE THEM!
- LESSON 3: MORE One-Step Equations - All Scrambled Up!
- LESSON 4: One Step Equations Review - Relay Race!
- LESSON 5: One Step Equations with Rational Numbers - TEST
- LESSON 6: Two Step Equations
- LESSON 7: More Two Step Equations Practice
- LESSON 8: Equations with Distributive Property
- LESSON 9: One and Two Step Equations Review
- LESSON 10: One and Two Step Equations Test
- LESSON 11: Applications of One Step Equations
- LESSON 12: Word Problems with Equations
- LESSON 13: More Real World Equations - Fluency Practice
- LESSON 14: Applications of Equations Review
- LESSON 15: Real World Applications Test
- LESSON 16: Inequalities
- LESSON 17: Inequalities - Negative Rule
- LESSON 18: Inequalities - Fluency Practice
- LESSON 19: Inequality Applications
- LESSON 20: Inequalities Review
- LESSON 21: Inequalities Test
- LESSON 22: Equations and Inequalities - 5 Days of Centers