# Inequalities with Addition/Subtraction of Fractions

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With our Inequalities with Addition/Subtraction of Fractions lesson plan, students learn how to compare fractions using inequalities (<, >, and =). Students solve practice problems as a part of this lesson.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to  introduce mixed numbers into the problems for the more advanced students in your class.

# What our Inequalities with Addition/Subtraction of Fractions lesson plan includes

Lesson Objectives and Overview: Inequalities with Addition/Subtraction of Fractions teaches students how to use inequalities (<, >, and =) to compare fractions. At the end of the lesson, students will be able to compare fractions using <, >, and = that must be simplified using addition or subtraction. This lesson is for students in 4th grade, 5th grade, and 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. To prepare for this lesson ahead of time, you can copy the handouts.

#### 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. An optional adjustment to this lesson is to have your students use fractions with unlike denominators. For more advanced students, you can also introduce mixed numbers into the problems.

### Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. It notes that you can teach this lesson in conjunction with other lessons related to fractions. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

## INEQUALITIES WITH ADDITION/SUBTRACTION OF FRACTIONS LESSON PLAN CONTENT PAGES

### Inequalities with Addition/Subtraction of Fractions

The Inequalities with Addition/Subtraction of Fractions lesson plan includes two pages on content. The lesson begins by reminding students that > means greater than, < means lesser than, and = means equal to. In order to compare two quantities, you first need to simplify each side into a single number. The lesson includes an example to illustrate this: comparing 4/6 to 2/6 + 3/6. We need to add 2/6 and 3/6 to have a single number on that side of the inequality. 2/6 + 3/6 = 5/6. The new problem is comparing 4/6 to 5/6. As the lesson illustrates with images, 4/6 is less than 5/6, so we can solve the inequality by saying that 4/6 < 5/6. To recap, the three steps for solving inequalities are: 1. Add or subtract the fractions; 2. Compare fractions; 3. Write in the inequality symbol to make the statement true.

The lesson closes with two more examples, which it shows how to solve step-by-step.

## INEQUALITIES WITH ADDITION/SUBTRACTION OF FRACTIONS LESSON PLAN WORKSHEETS

The Inequalities with Addition/Subtraction of Fractions lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

### ROLL THE DICE ACTIVITY WORKSHEET

For the activity worksheet, students will roll dice to fill in the missing numerators on the worksheet. They will then compare the fractions, drawing pictures if necessary.

### SOLVING PROBLEMS PRACTICE WORKSHEET

The practice worksheet asks students to solve various problems using >, <, or =.

### INEQUALITIES WITH ADDITION/SUBTRACTION OF FRACTIONS HOMEWORK ASSIGNMENT

Like the practice worksheet, the homework assignment asks students to solve various problems using >, <, or =.

### QUIZ

This lesson includes a quiz that you can use test students’ understanding of the lesson material. The quiz asks students to solve two problems using >, <, or =.