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# Application of Linear Systems of Inequalities

Lesson 5 of 5

## Objective: SWBAT solve real world scenarios using linear systems of inequalities.

#### Do-Now

*10 min*

Students will practice solving systems of linear equations in today's Do Now. As students are working I will pass back the graded Exit Cards from our last class.

Three students will come up to the board to display their responses for the class. Next a student will read the objective, "**SWBAT solve real world scenarios using systems of inequalities".**

#### Resources

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#### Whole Group Practice

*45 min*

Using Guided Notes, students will solve linear systems of inequalities. By this point in the year students will have solved many Algebraic word problems. Today's task should feel familiar.

**Example One:** I will ask the class to read the prompt first, and then underline the information that we will need to construct 2 inequalities. Once we have created our system, I will ask students to graph it on their paper.

The best part of this lesson lies in the analysis of each solution set. Once the system has been graphed, I will probe students understanding by asking them to fully answer each prompt:

- In this Example we have two variables, x and y. Reread the prompt. What does each variable represent?
- Lets label some points that are in the solution set. Do these points have anything in common.
- Since we know what our variables are representing, what would the point (5, 3) mean in the context of this problem?
- What does the word "constraint" mean? What constraints do we have in this example?
- Name combinations of the possible choices Jade has given her constraints.
- How many weeks can Jade withdrawal money?

Students will work with a partner in 10 minute time-chunks to complete the remaining examples. We will review responses as a whole group at the end of each chunk, with heavy emphasis on analyzing possible solutions, and using the graph to choose the best answer.

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#### Closing

*25 min*

Students will spend the 15 minutes at the end of class to answer Systems of Inequalities questions with Promethean clickers. I will keep score as we answer each question, giving students a point for every question answered that 85% of students got correct.

Students will then complete an Exit Card.

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- UNIT 1: Welcome Back! - The First Week of School
- UNIT 2: Linear & Absolute Value Functions
- UNIT 3: Numeracy
- UNIT 4: Linear Equations
- UNIT 5: Graphing Linear Functions
- UNIT 6: Systems of Linear Equations
- UNIT 7: Linear Inequalities
- UNIT 8: Polynomials
- UNIT 9: Quadratics
- UNIT 10: Bridge to 10th Grade