Fraction Facts

Abstract

The following discussions and activities are designed to introduce students to fractions, including operations with fractions, converting fractions to decimals and percents. The activities provide ample practice opportunities to reinforce the information from the discussions.

Objectives

Upon completion of this lesson, students will:

  • have learned about fractions and operations with fractions, namely addition, subtraction, multiplication and division
  • have learned to convert fractions to decimals and to percents

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

  • work flexibly with fractions, decimals, and percents to solve problems
  • compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line
  • develop meaning for percents greater than 100 and less than 1

Understand meanings of operations and how they relate to one another

  • understand the meaning and effects of arithmetic operations with fractions, decimals, and integers

Compute fluently and make reasonable estimates

  • select appropriate methods and 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:
    • add and subtract whole numbers
    • work with simple fractions in lowest terms
  • 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

Key Terms

This lesson introduces students to the following terms through the included discussions:

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 do basic math operations with them such as addition, subtraction, multiplication and division.

    • 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, and then review with them how to add and subtract and multiply and divide fractions.

    • Be sure students are familiar with how to convert fractions into decimals, and how to round numbers.

    • When students have mastered working with fractions and decimals, demonstrate changing decimal numbers into percents.

    • 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 Four 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, decimals and percents, and use Fraction Four as a reward for two students at a time who have showed 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.

Extensions

After completing this lesson, several lessons could be tackled. For example: