topical media & game development
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game-javascript-math-kennedy-IntegerLove.htm / htm



  <html>
  <head>
  <title>Integer Love!</title>
  <script language="JavaScript">
  // constants
  var kMultiplication = 'x';
  var kAddition = '+';
  var kSubtraction = '-';
  var kDivision = '\367';  // this is the octal representation of the division sign.
  var kNumberLineMax = 10;
  var kNumberLineMin = -10;
  
  var gProblem1 = new AdditionProblem();
  var gProblem2 = new AdditionProblem();
  
  // functions 
  function assert(isTrue, message) { if (!isTrue) { alert(message) } }
  
  function myPop (string){
     var generator=window.open('',
                               'name',
                               'width=400,height=100,toolbar=0,scrollbars=0,screenX=200,screenY=200,left=200,top=200');
  
     generator.document.write('<html><head><title>Happy Fractions!</title></head><body>');   
     generator.document.write(string);
     generator.document.write('<center><a href="javascript:self.close()">Close</a></center>');
     generator.document.write('</body></html>');
     generator.document.close();
  }
  
  function getCurrentTimeInSeconds(){
     return Math.round(new Date().valueOf()/1000);
  }
  
  function requestHelp(){
     var generator=window.open('','name','height=400,width=700,scrollbars=1');
     
     generator.document.write('<html><head><title>Integer Love!</title></head><body>');   
     generator.document.write('<b><center>Integers Are Numbers!</center></b><br>');
     generator.document.write('You can <i>add</i>, <i>subtract</i>, <i>multiply</i>, and <i>divide</i> integers. ');
     generator.document.write('Negative integers are <i>smaller</i> than 0.  ');
     generator.document.write('Positive integers are <i>bigger</i> than 0.   ');
     generator.document.write('For example, -4 is a negative integer and +4 is a positive integer.<br><br> ');
  
     generator.document.write('For negative integers, you must write the - sign.   ');
     generator.document.write('You do not have to write the + sign for positive integers.   ');
     generator.document.write('(7 is the same as +7 and 10 is the same is +10.)<br><br> ');
  
     generator.document.write('You can put integers on a number line.   ');
     generator.document.write('Negative numbers are on the left and positive numbers on the right. '); 
     generator.document.write('If you go to the left the numbers get smaller. ');
     generator.document.write('If you go to the right on the number line, the numbers get bigger.<br><br> ');
  
     generator.document.write('<table valign="top" align="center" cellpadding="0" cellspacing="0" border="0"><tr> ');
     generator.document.write('<td valign="center" align="right"><</td><td valign="center">
 ');
     generator.document.write('<td width="1" valign="center" align="center">|</td><td valign="center">
 ');
     generator.document.write('<td valign="center">
| ');
     generator.document.write('<td valign="center">
 ');
     generator.document.write('<td width="1" valign="center" align="center">|</td><td valign="center">
 ');
     generator.document.write('<td valign="center">
| ');
     generator.document.write('<td valign="center">
 ');
     generator.document.write('<td width="1" valign="center" align="center">|</td><td valign="center">
 ');
     generator.document.write('<td valign="center">
| ');
     generator.document.write('<td valign="center">
 ');
     generator.document.write('<td width="1" valign="center" align="center">|</td><td valign="center">
 ');
     generator.document.write('<td valign="center" align="left">></td></tr> ');
     generator.document.write('<tr><td></td> ');
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top"><font color="red">-3</font></td> ');
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top"><font color="red">-2</font></td>   ');    
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top"><font color="red">-1</font></td> ');
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top"><font color="gray">0</font></td>  ');           
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top">1</td> ');
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top">2</td> ');
     generator.document.write('<td width="4%" colspan="3" align="center" valign="top">3</td>    '); 
     generator.document.write('<td></td></tr> ');
     generator.document.write('</table><br><br>');
  
     generator.document.write('<b><center>Adding Integers</center></b><br>');
     generator.document.write('Start with the first number you want to add and find it on the number line.   ');
     generator.document.write('Then if the second number is positive <i>then you count up</i> the number line to find the answer.   ');
     generator.document.write('If the second number is negative <i>then you count down</i> the number line.   ');
     generator.document.write('If you add a negative number, that is like subtracting. ');
     generator.document.write('<br><b>Examples:</b> ');
     generator.document.write('<br>3 + (-2) = 1 (find 3 on the line and count down 2.) ');
     generator.document.write('<br>-2 + 4 = 2 (find -2 on the line and count up 4.) <br><br>');
        
     generator.document.write('<b><center>Subtracting Integers</center></b><br>');
     generator.document.write('Start with the first number you want to subtract and find it on the number line. ');
     generator.document.write('Then if the second number is positive <i>then you count down</i> the number line to find the answer. ');
     generator.document.write('If the second number is negative <i>then you count up</i> the number line. ');
     generator.document.write('If you subtract a negative number then that is like adding.   ');
     generator.document.write('<br><b>Examples:</b> ');
     generator.document.write('<br>-3 - (-2) = -1 (find -3 on the line and count up 2.) ');
     generator.document.write('<br>3 - 4 = -1 (find 3 on the line and count down 4.) <br><br>');   
     
     generator.document.write('<b><center>Multiplying Integers</center></b><br>');
     generator.document.write('First, do not look at the negative signs if there are any. ');
     generator.document.write('Just multiply the numbers. ');
     generator.document.write('If both numbers being multiplied are positive then the answer is positive. '); 
     generator.document.write('If both numbers are negative then the answer will be positive. ');
     generator.document.write('If one number is negative and the other is positive then the answer is negative.');
     generator.document.write('<br><b>Examples:</b> ');
     generator.document.write('<br>9 x 9 = 81 (positive times a positive is positive) ');
     generator.document.write('<br>-9 x -9 = 81 (negative times a negative is positive) ');
     generator.document.write('<br>9 x -9 = -81 (positive times a negative is negative) ');
     generator.document.write('<br>-9 x 9 = -81 (negative times a positive is negative)<br><br>');  
  
  generator.document.write('<b><center>Dividing Integers</center></b><br>');
     generator.document.write('First, do not look at the negative signs if there are some. ');
     generator.document.write('Just divide the numbers. ');
     generator.document.write('If both numbers being divided are positive then the answer is positive. '); 
     generator.document.write('If both numbers are negative then the answer will be positive. ');
     generator.document.write('If one number is negative and the other is positive then the answer is negative. ');
     generator.document.write('<br><b>Examples:</b> ');
     generator.document.write('<br>63 \367 9 = 7 (positive divided by a positive is positive) ');
     generator.document.write('<br>-63 \367 -9 = 7 (negative divided by a negative is positive) ');
     generator.document.write('<br>63 \367 -9 = -7 (positive divided by a negative is negative) ');
     generator.document.write('<br>-63 \367 9 = -7 (negative divided by a positive is negative)<br><br>');
  
     generator.document.write('<b><center>Remember, ask your teacher if you do not understand.</center></b>');
     generator.document.write('<center><a href="javascript:self.close()">Close this window.</a></center>');
     generator.document.write('</body></html>');
     generator.document.close();
  }
  
  function getRandomNumberInRange(rangeStart, rangeEnd){
     assert((rangeStart<rangeEnd), "getRandomNumberInRange: Invalid Input");
     var randomNumber = Math.round(Math.random()*(rangeEnd-rangeStart));
     return (rangeStart+randomNumber);
  }
  
  function getProblemString(){
     if (0 > this.operandLeft && 0 > this.operandRight)  // if both are negative
        return ("(" + this.operandLeft + ") " + this.operation + " (" + this.operandRight + ") = ");
     if (0 > this.operandLeft)  // if only the left is negative
        return ("(" + this.operandLeft + ") " + this.operation + " " + this.operandRight + " = ");
     if (0 > this.operandRight) // if only the right is negative
        return (this.operandLeft + " " + this.operation + " (" + this.operandRight + ") = ");
     return (this.operandLeft + " " + this.operation + " " + this.operandRight + " = ");
  }
  
  function isCorrectAnswer(theirAnswer){return (this.answer == (1*theirAnswer));}  
  
  function AdditionProblem() {
     this.operation = kAddition;
     this.answer = getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     this.operandLeft = getRandomNumberInRange(kNumberLineMin, kNumberLineMax);   
     this.operandRight = (this.answer-this.operandLeft);
     this.getProblemString = getProblemString;
     this.isCorrectAnswer = isCorrectAnswer;
     this.toString = getProblemString;
     this.getSolutionString = getSolutionString;
     
     function getSolutionString() {
        if (0 == this.operandRight)
           return (this.toString() + " " + this.answer + 
                   "  Adding zero to a number always gives the same number as the answer.");
        else if (0 < this.operandRight)
           return (this.toString() + " " + this.answer + 
                   "  Start with " + this.operandLeft + " on the number line, then add " + 
                   this.operandRight + " (count up).");
        else 
           return (this.toString() + " " + this.answer + 
                   "  Start with " + this.operandLeft + " on the number line, then add " + 
                   this.operandRight + " (count down).");
     }
  }  
  
  function SubtractionProblem(){
     this.operation=kSubtraction;
     // set the answer
     this.answer=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     // set the operands
     this.operandLeft=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     this.operandRight=(this.operandLeft-this.answer);
     this.getProblemString = getProblemString;
     this.isCorrectAnswer = isCorrectAnswer;
     this.toString = getProblemString;   
     this.getSolutionString = getSolutionString;
     
     function getSolutionString() {
        if (0 == this.operandRight)
           return (this.toString() + " " + this.answer + 
                   ",  Subtracting zero from a number always gives the same number as the answer.");
        else if (0 < this.operandRight)
           return (this.toString() + " " + this.answer + 
                   ",  Start with " + this.operandLeft + " on the number line, then subtract " + 
                   this.operandRight + " (count down).");
        else 
           return (this.toString() + " " + this.answer + 
                   ",  Start with " + this.operandLeft + " on the number line, then subtract " + 
                   this.operandRight + " (count up).");
     }   
  }
  
  function MultiplicationProblem(){
     this.operation=kMultiplication;
     // set the operands
     this.operandRight=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     this.operandLeft=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     // set the answer
     this.answer=(this.operandRight*this.operandLeft);
     this.getProblemString = getProblemString;
     this.isCorrectAnswer = isCorrectAnswer;
     this.toString = getProblemString;      
     this.getSolutionString = getSolutionString;
     
     function getSolutionString() {
        if (0 == this.operandRight || 0 == this.operandLeft)
           return (this.toString() + " " + this.answer + "  Any number times 0 is 0.");
        else if (0 < this.operandRight && 0 < this.operandLeft)
           return (this.toString() + " " + this.answer + 
                   ",  Multiplication is repeated addition.  Add the number " +
                   this.operandRight + ", " + this.operandLeft + " times.");
        else if (0 > this.operandRight && 0 > this.operandLeft)
           return (this.toString() + " " + this.answer + 
                   ",  A negative number times a negative number gives a positive answer.");
        else
           return (this.toString() + " " + this.answer + 
                   ",  A positive number times a negative number gives a negative answer.");
     }   
  }
  
  function DivisionProblem(){
     this.operation=kDivision;
     // set the answer
     this.answer=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     // set the operands
     this.operandRight=getRandomNumberInRange(kNumberLineMin, kNumberLineMax);
     if (0 == this.operandRight) {this.operandRight--;}
     this.operandLeft=(this.answer*this.operandRight);
     this.getProblemString = getProblemString;
     this.isCorrectAnswer = isCorrectAnswer;
     this.toString = getProblemString;      
     this.getSolutionString = getSolutionString;
     
     function getSolutionString() {
        assert((0 != this.operandRight), "Division by Zero!");
        if (0 == this.operandLeft)
           return (this.toString() + " " + this.answer + "  Zero divided by a number is zero.");
        else if (0 < this.operandRight && 0 < this.operandLeft)
           return (this.toString() + " " + this.answer + 
                   ",  Division is repeated subtraction.  How many times can you subtract the number " +
                   this.operandRight + " from " + this.operandLeft + "?");
        else if (0 > this.operandRight && 0 > this.operandLeft)
           return (this.toString() + " " + this.answer + 
                   ",  A negative number divided by a negative number gives a positive answer.");
        else
           return (this.toString() + " " + this.answer + 
                   ",  Division with a positive number and a negative number gives a negative answer.");
     }   
  }
  
  function requestPrintTest(operation){
     if (document.getElementById) {
        // clear the old answers.
        document.integerLove.answer1.value = '';
        document.integerLove.answer2.value = '';     
        // clear old dynamically created table stuff.            
        clearChildNodes("problem1");
        clearChildNodes("problem2");
        clearChildNodes("testResults"); 
        clearChildNodes("solution1"); 
        clearChildNodes("solution2");
                                                   
        // assure bug-free redraw in Gecko engine by letting window show cleared table
        if (navigator.product && navigator.product == "Gecko") {
           setTimeout("printTest("+"'"+operation+"'"+")", 0);
        } 
        else {
           printTest(operation);
        }
     }
     else {
        alert("Sorry, dynamic table feature works with IE5 or later for Windows, and Netscape 6 or later.");
     }  
  }
  
  function requestPrintResults(){
     // disable the "I am finished!" button
     document.integerLove.finishedButton.disabled=true;
   
     if (document.getElementById) {
        clearChildNodes("testResults"); 
        clearChildNodes("solution1"); 
        clearChildNodes("solution2"); 
      
        // assure bug-free redraw in Gecko engine by letting window show cleared table
        if (navigator.product && navigator.product == "Gecko") {
           setTimeout("printResults()", 0);
        } 
        else {
           printResults();
        }
     }
     else {
        alert("Sorry, dynamic table feature works with IE5 or later for Windows, and Netscape 6 or later.");
     }  
  }
  
  function printTest(operation){
     printChallengeProblems(operation);
     enableFinishedButton();
  }
  
  function enableFinishedButton(){
     // enable the "I am finished!" button
     document.integerLove.finishedButton.disabled=false;
  }
  
  function printResults(){
     // check their answers
     var numCorrect = 2;
   
     if (('' == document.integerLove.answer1.value) ||
         !gProblem1.isCorrectAnswer(document.integerLove.answer1.value)){
        numCorrect--;
        writeTxtAtTDidOptions("solution1", gProblem1.getSolutionString(), "-1", "red");
     }    
     if (('' == document.integerLove.answer1.value) ||
        !gProblem2.isCorrectAnswer(document.integerLove.answer2.value)){ 
        numCorrect--;
        writeTxtAtTDidOptions("solution2", gProblem2.getSolutionString(), "-1", "red");
     }
     // print the results (the score)
     if (2 == numCorrect)
        writeTxtAtTDid("testResults", "Perfect!  Great Job!", "+2", "black");
     else if (1 == numCorrect)
        writeTxtAtTDid("testResults", "One correct. Try again.", "+1", "black");
     else
        writeTxtAtTDid("testResults", "Zero correct. Meme ange, you need to practice more.", "+1", "black");
  }
  
  function writeTxtAtTDid(tBodyID, string){
     writeTxtAtTDidOptions(tBodyID, string, "+1", "black");
  }
  
  function writeTxtAtTDidOptions(tBodyID, string, sizeString, colorString){
     var tbody = document.getElementById(tBodyID);
     // create holder for accumulated tbody elements and text nodes
     var frag = document.createDocumentFragment();
     
     var font = document.createElement("font");
     font.setAttribute("size", sizeString);
     font.setAttribute("color", colorString);
     var txt = document.createTextNode(string);
     font.appendChild(txt);
     frag.appendChild(font);
     
     if (!tbody.appendChild(frag)) {
        alert("This browser doesn't support dynamic tables.");
     } 
  }
  
  function printChallengeProblems(operation){
     switch(operation){
        case kAddition:  
           gProblem1 = new AdditionProblem();
           gProblem2 = new AdditionProblem();
           break;
        case kSubtraction:
           gProblem1 = new SubtractionProblem();
           gProblem2 = new SubtractionProblem();
           break;
        case kMultiplication:  
           gProblem1 = new MultiplicationProblem();
           gProblem2 = new MultiplicationProblem();
           break;
        case kDivision:
           gProblem1 = new DivisionProblem();
           gProblem2 = new DivisionProblem();
           break;
        default:
           alert("printChallengeProblems: Invalid operation.");
     }
     writeTxtAtTDid("problem1", gProblem1.getProblemString());
     writeTxtAtTDid("problem2", gProblem2.getProblemString());
  
  }
  
  // Remove existing content of an element
  function clearChildNodes(elemID) {
     var elem = document.getElementById(elemID);
     while (elem.childNodes.length > 0) 
     {
        elem.removeChild(elem.firstChild);
     }
  }
  
  </script>
  </head>
  
  <body onload="javascript:requestPrintTest('+'); return false;">
  
  <table width="100%" valign="top" align="center" border="0">
     <tr>
        <td td colspan="9" align="right">
           <a href="javascript:requestHelp();"><font size="-1" color="gray">Help Me!</font></a> |
           <a href="javascript:myPop('Made in Namibia for Namibians to improve their integer skills...
                                      Tested in IE6, Mozilla Firefox and Konqueror.');">
              <font size="-1" color="gray">About This Site</font></a> |
           <a href="mailto:aarontkennedy@gmail.com">;<font size="-1" color="gray">Suggestions</font></a>
        </td>      
     </tr>
     <tr>
        <td width="20%"></td>
        <td width="5%" valign="center" align="right"><font color="gray" size="+1">&#9829;</font></td>
        <td width="5%" valign="center" align="right"><font color="gray" size="+2">&#9829;</font></td>
        <td width="40%" valign="center" align="center"><font size="+3">Integer Love</font></td>
        <td width="5%" valign="center" align="left"><font color="gray" size="+2">&#9829;</font></td>
        <td width="5%" valign="center" align="left"><font color="gray" size="+1">&#9829;</font></td>
        <td width="20%"></td>
     </tr>
  </table><br><br>
  
  <table valign="top" align="center" cellpadding="0" cellspacing="0" border="0">
     <tr>
       <td colspan="3"></td>
       <td colspan="31" valign="bottom" align="left">
          <font size="-1" color="red">< smaller numbers</font> 
       </td>
       <td colspan="29" valign="bottom" align="right">
          <font size="-1" color="green">bigger numbers ></font> 
       </td>
       <td colspan="4"></td>
     </tr>
     <tr>
        <td valign="center" align="right"><</td>
        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center">

        <td width="1" valign="center" align="center">|</td>
        <td valign="center">

        <td valign="center" align="left">></td>
     </tr>
     <tr>
        <td></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-10</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-9</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-8</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-7</font></td>      
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-6</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-5</font></td>      
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-4</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-3</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-2</font></td>      
        <td width="4%" colspan="3" align="center" valign="top"><font color="red">-1</font></td>
        <td width="4%" colspan="3" align="center" valign="top"><font color="gray">0</font></td>            
        <td width="4%" colspan="3" align="center" valign="top">1</td>
        <td width="4%" colspan="3" align="center" valign="top">2</td>
        <td width="4%" colspan="3" align="center" valign="top">3</td>
        <td width="4%" colspan="3" align="center" valign="top">4</td>      
        <td width="4%" colspan="3" align="center" valign="top">5</td>
        <td width="4%" colspan="3" align="center" valign="top">6</td>      
        <td width="4%" colspan="3" align="center" valign="top">7</td>
        <td width="4%" colspan="3" align="center" valign="top">8</td>
        <td width="4%" colspan="3" align="center" valign="top">9</td>      
        <td width="4%" colspan="3" align="center" valign="top">10</td>      
        <td></td> 
     </tr>
  </table><br><br>
  
  <form name="integerLove">
     <table align="center" width="100%" border="0">
     <tr>
        <td width="23%" align="right" id="problem1"></td>
        <td width="10%" align="left"><input type"text" size="3" name="answer1"></td>
        <td width="23%" align="right" id="problem2"></td>
        <td width="10%" align="left"><input type"text" size="3" name="answer2"></td>
        <td width="33%" align="center">
           <input name="finishedButton" type="button" value="I am finished!" 
              onClick="requestPrintResults();  return false;">
        </td>
     </tr>
     <tr>
        <td colspan="5" align="center" id="solution1"></td>
     </tr>
        <td colspan="5" align="center" id="solution2"></td>
     </tr>
     <tr>
        <td colspan="5" align="center"><br></td>
     </tr>   
     <tr>
        <td colspan="5" align="center" id="testResults"></td>
     </tr>
     </table>
  </form>
      
  <table width="100%" border="0" valign="bottom" align="center"><tr>
     <td align="center"><a href="javascript:requestPrintTest('+');">
        <font color="black">Addition</font></a></td>
     <td align="center"> <font color="gray">&#9829;</font> </td>
     <td align="center"><a href="javascript:requestPrintTest('-');">
        <font color="black">Subtraction</font></a></td>
     <td align="center"> <font color="gray">&#9829;</font> </td>
     <td align="center"><a href="javascript:requestPrintTest('x');">
        <font color="black">Multiplication</font></a></td>
     <td align="center"> <font color="gray">&#9829;</font> </td>
     <td align="center"><a href="javascript:requestPrintTest('\367');">
        <font color="black">Division</font></a></td>
     <td align="center"> <font color="gray">&#9829;</font> </td>
     <td align="center"><a href="javascript:requestHelp();">
        <font color="black">Help Me!</font></a></td> 
  </tr></table>   
     
  </body>
  </html>
[] readme course(s) preface I 1 2 II 3 4 III 5 6 7 IV 8 9 10 V 11 12 afterthought(s) appendix reference(s) example(s) resource(s) _

(C) Æliens 20/2/2008

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