Solving & Graphing Two Step Inequalities Lesson Plan


Ever wondered how to teach solving and graphing two step inequalities in an engaging way to your 7th and 8th grade students?

In this lesson plan, students will learn about two step inequalities and their real-life applications. Through artistic, interactive guided notes, check for understanding, a doodle & color by number activity, and a maze worksheet, students will gain a comprehensive understanding of solving and graphing two step inequalities.

The guided notes provide a structured approach to teaching the topic, including how to solve two step inequalities and integrating checks for understanding to verify student comprehension. This will ensure that students are on the right track and help them build their problem-solving skills. Following the guided notes, the students will engage in a variety of practice activities, including a color by code worksheet and a maze, to reinforce the concepts learned. These activities not only test their understanding of solving and graphing two step inequalities, but also provide a fun and engaging way to practice the skills.

The lesson culminates with a real-life application, where students will have the opportunity to read and write about the real-life uses of solving and graphing two step inequalities. This application will allow students to see the relevance of the math skills they have learned and apply them to real-world scenarios.

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Solving & Graphing Two Step Inequalities Guided Notes with Doodles Sketch Notes

Solving & Graphing Two Step Inequalities Guided Notes with Doodles Sketch Notes


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Learning Objectives

After this lesson, students will be able to:

  • Solve and graph two-step inequalities

  • Identify cases when inequalities symbols need to be swapped (when multiplying and dividing by negative numbers)

  • Apply the concept of solving and graphing two-step inequalities to real-life situations


Before this lesson, students should be familiar with:

  • Solving one-step and two-step equations

  • Understanding of positive and negative integers

  • Ability to graph integers on a number line

  • Basic understanding of how to isolate the variables using inverse operations (optional)


Key Vocabulary

  • Two step inequalities

  • Isolate the variable

  • Graphing

  • Number line

  • Greater than, less than, greater than or equal to, less than or equal to

  • Inequality symbols



As a hook, ask students why it is important to learn how to solve and graph two-step inequalities. You can refer to the real-life application provided on the last page of the guided notes, such as instances where inequalities can be used in determining the number of hours needed to complete a task or the temperature range for a specific event. You can also refer to the FAQs section for more ideas on engaging questions.

Use the first page of the guided notes to introduce the topic of solving two-step inequalities. Walk through the key points of the topic, including the types of inequality symbols, how to isolate the variable and perform arithmetic operations to solve for the variable. Emphasize the importance of using inverse operations when solving.

Continue with page 2 of the guided notes, following the same format of introducing how to graph inequalities on number lines (including open and closed circles). Students will first take notes on the key points, and then they can start the practice examples on the page.

Based on student responses and understanding, reteach concepts that students need extra help with. If there is a wide range of proficiency levels in the class, consider pulling out students for reteaching while more advanced students begin working on the practice exercises.


Have students practice solving and graphing two-step inequalities using the practice worksheet provided in the resource. They can complete the maze (page 3 of the guided notes) and color by number problem sets (page 4 of the guided notes) to reinforce their understanding of the math concept.

Walk around the classroom to answer any student questions and provide assistance as needed. You can also assign any of the practice activities as homework for the remainder of the class to provide additional practice and reinforcement.

Real-Life Application

Use the last page of the guided notes resource to bring the class back together, and introduce the concept of real-world applications of solving and graphing two step inequalities. Discuss with the students how inequalities can be used to represent real-life situations where there are limitations or constraints.

For example, you can explain how two step inequalities can be used to represent situations such as budgeting. Discuss scenarios where a person has a limited amount of money to spend and needs to decide how much they can spend on different items. Explain that they can use two step inequalities to set limits on their spending based on their available funds.

Refer to the FAQ for more ideas on how to teach real-world applications of solving and graphing two step inequalities.


Additional Self-Checking Digital Practice

If you’re looking for digital practice for solving and graphing two-step inequalities, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.

Here are 2 activities to explore:

Additional Print Practice

A fun, no-prep way to practice solving and graphing two-step inequalities is Doodle Math. They’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.

Here is an ENGAGING doodling activity to try:


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