Comparing Fractions

Abstract

The following discussions and activities are designed to give students practice in comparing fractions. The activities provide ample practice opportunities to reinforce the information from the discussions.

Objectives

Upon completion of this lesson, students will:

  • have had practice in simplifying fractions
  • gained experience comparing fractions and ordering them on a number line
  • worked on developing methods to estimate the values of fractions

Standards

The activities and discussions in this lesson address the following NCTM standards:

Number and Operation

Understand numbers, ways of representing numbers, relationships among numbers, and number systems

  • Compare and order fractions, decimals and percents efficiently and find their approximate locations on the number line.

Compute fluently and make reasonable estimates

  • Select appropriate tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Links to other standards.

Student Prerequisites

  • Arithmetic: Students must be able to:
    • work with simple fractions in lowest terms
    • simplify fractions
  • Technological: Students must be able to:
    • perform basic mouse manipulations such as point, click and drag.
    • use a browser, such as Netscape, for experimenting with the activities.

Teacher Preparation

Students will need:

  • Access to a browser
  • pencil and paper

Lesson Outline

  1. Focus and Review

    Remind students what has been learned in previous lessons that will be pertinent to this lesson and/or have them begin to think about the words and ideas of this lesson:

    • Ask students if they remember how to reduce a fraction, such as 8/12 or 6/60.

    • Lead a discussion about fractions to review basic terminology and understanding.

  2. Objectives

    Let the students know what it is they will be doing and learning today. Say something like this:

    • Today, class, we will be talking more about fractions, and how to compare them.

    • We are going to use the computers to learn about fractions, but please do not turn your computers on or go to this page until I ask you to. I want to show you a little about this activity first.

  3. Teacher Input

    • You may choose to lead the students in a short discussion about comparing fractions.

    • Explain to the students how to do the assignment. You should model or demonstrate it for the students, especially if they are not familiar with how to use our computer applets.

    • Open your browser to Fraction Finder in order to demonstrate this activity to the students.

  4. Guided Practice

    You may want to have students take turns giving answers to the problems and work through one or two games as a class until students are ready to try it on their own.

    If you choose to, you may also show students the Conversions tool, which converts fractions to decimals, and decimals to fractions.

  5. Independent Practice

    Allow the students to work in groups of two. Monitor the room for questions and to be sure that the students are on the correct web site.

  6. Closure

    You may wish to bring the class back together to discuss any problems that were especially hard for students to solve. Once the students have been allowed to share what they found, summarize once more the main points of the lesson.

Alternate Outlines

This lesson can be rearranged in several ways if there is only one available computer:

  • Have students complete paper worksheets of problems with fractions on a number line and use Fraction Finder as a reward for two students at a time who have shown proficiency in solving the problems on paper.

  • Alternatively, select students who need additional practice to use the game. Teams of one strong student and one who needs help work well with this activity.