Description
What our Solutions to Inequalities lesson plan includes
Lesson Objectives and Overview: Solutions to Inequalities teaches students how to write inequalities. At the end of the lesson, students will be able to write an inequality in the form x > c or x < c to represent a real-world situation or mathematical problem. This lesson is for students in 6th grade.
Classroom Procedure
Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.
Options for Lesson
Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have your students create their own amusement park signs with height requirements. You could also have your students research other height requirements for objects such as doors, bridges, or chairs.
Teacher Notes
The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.
SOLUTIONS TO INEQUALITIES LESSON PLAN CONTENT PAGES
Solutions to Inequalities
The Solutions to Inequalities lesson plan includes three content pages. When riding in a car, you may have seen a sign that indicates that trucks taller than a certain height could get stuck going through a tunnel or other structure. This is a great example of a real-world example of an inequality. In this case, the truck must be less than 12 feet and 6 inches to fit under a bridge.
You can write this as an inequality: x < 12.5. This indicates that trucks with a height under 12 and a half feet will fit through the tunnel, but any trucks that is taller than 12 and a half feet will get stuck. You can also represent this on a number line with a line that begins at 12.5 and points right. In this case, the number line does not need to include negative numbers because trucks cannot have a negative height.
Example: Amazing Aquatic Adventures
Let’s take a look at another real-world example. Amazing Aquatic Adventures rents boats to tourists for snorkeling trips. Each boat can hold at most eight people and up to 1,000 pounds of weight.
If you wanted to write an inequality to represent the number of people allowed on the boat, you first need to determine your variable. Let’s use p, for people. You know that “at most” 8 people can go on the boat. This means that eight is the maximum number of people allowed. Therefore, you know that 9 people is too many, but 7 is fine. The number of people (p) is less than or equal to 8. You can represent this on a number line with a line that begins at eight and points left. In this example, you don’t need to include negative numbers on the number line because you cannot have a negative number of people.
To write an inequality about the weight allowed on the boat, first decide on a variable like w for total weight. You know that “up to” 1,000 pounds of weight is allowed, which means that 1,000 is the maximum amount. Therefore, 2,000 pounds is too much, but 500 pounds is okay. The total weight (w) is less than or equal to 1,000. You can also represent this on a number line with a line that starts at 1,000 and points left. Like before, you don’t need to include negative numbers.
Real-world examples of inequalities are all around you! Try keeping an eye out for places and signs using inequalities.
SOLUTIONS TO INEQUALITIES LESSON PLAN WORKSHEETS
The Solutions to Inequalities lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.
HEIGHT REQUIREMENTS ACTIVITY WORKSHEET
For the activity worksheet, students will represent the height requirements of each of the amusement park rides shown on the worksheet with inequalities. They will also show the allowable heights for each ride on separate number lines.
SOLUTIONS TO INEQUALITIES PRACTICE WORKSHEET
The practice worksheet asks students to answer different types of questions about the lesson material. They will write some inequalities, draw a number line, and more.
TRAMPOLINE HOMEWORK ASSIGNMENT
For the homework assignment, students will answer questions about the weight limit of a trampoline. Using a table that lists three different people and their weights, they will determine how much a fourth person who wanted to jump on the trampoline could weigh, writing an inequality to describe all possible weights of the fourth person. They will then draw a number line diagram showing all possible solutions.
Worksheet Answer Keys
This lesson plan includes answer keys for the activity worksheet, the practice worksheet, and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.
