Real Numbers Unit Webquest

Introduction

Everywhere you turn, there are numbers.  You have real numbers that are rational or irrational.  You have real numbers that are whole, integers, decimals and fractions.  What does it all mean?  How do they relate?  This webquest will allow you to show your teacher what you have learned in this unit of study.

Task

You are going to revisit many concepts learned in the Rational Numbers Unit, while demonstrating mastery of these concepts by completing:

  1. Defining relevant terms.
  2. Creating Sometimes, Always, Never statements about the Real Number system.
  3. Simplifying fractions.
  4. Converting between decimals and fractions.
  5. Solving rational number problems using all operations.
Process

Part One-Vocabulary

You need to define the terms listed below using '7th grade math language'.  In other words, you cannot copy the definition from a website.  Look through your notes, use the online math textbook, or search the internet to refresh your memory about what each of these words mean.  Then, define the terms on your own.  

  1. real number
  2. rational number
  3. irrational number
  4. prime
  5. composite
  6. reciprocal
  7. greatest common factor
  8. least common multiple
  9. absolute value
  10. integer

Part Two-The Real Number System Analysis

Refer to your notespage on the Real Number System.  Write three 'SOMETIMES, ALWAYS, NEVER' statements about the subsets.

    • Examples:  A natural number is ALWAYS an integer.  An integer is SOMETIMES a natural number.

Part Three-Simplify Fractions (Use complete sentences in your answers.)

  1. What does it mean to simplify fractions?
  2. Describe the two methods to simplify fractions that were discussed in class (this year or previously), in your own words. 
  3. Go to  or http://www.math-play.com/baseball-math-simplifying-fractions/simplifying-fractions-game.html to play a simplifying fractions game.  Play for about 5 minutes.  Use the snipping tool to snip and paste your score for the game on your word doc.

Part Four-Decimals and Fractions (Use complete sentences in your answers.)

  1. Describe the steps on how to convert a fraction into a decimal in your own words.
  2. When converting from decimals to fractions, what are 2 things you must always keep in mind? Don't just list them! You must explain each one. 
  3. Go to http://mrnussbaum.com/deathdecimals/ to play a game converting fractions and decimals. Use right/left arrows to move Fraction Man under the correct decimal and the space bar to grab it.  Use the snipping tool to snip and paste your score for the game on your word doc.

Part Five- The RULES (Use complete sentences in your answers.)

  1. Think about the integer rules.  Explain the method of adding/subtracting integers (which also applies to signed decimals and signed fractions) to somebody who has never done it before. Put it in your own words
  2. Drew writes: “The quotient of an integer divided by an integer of the opposite sign has the sign of the integer with the greater absolute value.”  Is he correct?  Explain why or why not.
  3. Go to http://www.mathnook.com/math/bike-racing-math-integer.html to play a game to practice integer rules.  Use the snipping tool to snip and paste your score for the game on your word doc.

 

 

Evaluation

Go to itslearning and save the Webquest template to your onedrive.  Remember to save as: LastNameFirstnameClassperiod.  Print out your completed webquest and turn it in by the due date.  This will count as a quiz grade in math class, so spend some quality time on this.

Teacher Page

Created by Nichole Toalson

Westbrook Intermediate-WAVE GT Magnet

Clear Creek ISD

etoalson@ccisd.net