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<!DOCTYPE html>
<html data-require="math math-format graphie word-problems interactive">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Fractions on the number line 1</title>
<script src="../khan-exercise.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="LOWER_BOUND">0</var>
<var id="UPPER_BOUND">1</var>
<var id="SCALING_FACTOR">5</var>
<!-- use array to make the fractions come up evenly(ish) -->
<var id="fractionArray">[ [1, 2], [1, 3], [2, 3], [1, 4], [2, 4], [3, 4], [1, 5], [2, 5], [3, 5], [4, 5], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6] ] </var>
<var id="fractionToFind">randFromArray(fractionArray)</var>
<var id="DENOMINATOR">fractionToFind[1]</var>
<var id="NUMERATOR">fractionToFind[0]</var>
<var id="LOWER_SCALED">LOWER_BOUND * DENOMINATOR</var>
<var id="UPPER_SCALED">UPPER_BOUND * DENOMINATOR</var>
<var id="SOLUTION">NUMERATOR / DENOMINATOR</var>
<var id="SCALE">4.5</var>
</div>
<div class="problems">
<div>
<div class="question">
<p>Move the <strong><code>\color{orange}{\text{orange dot}}</code></strong> to
<strong><code>\color{orange}{<var>fraction(NUMERATOR, DENOMINATOR)</var>}</code></strong> on the number line.</p>
<div class="graphie" id="number-line">
init({
range: [ [LOWER_BOUND - 0.1, UPPER_BOUND + 0.1], [-1, 1] ],
scale: [80*SCALE, 40]
});
// Draw Number Line
style({arrows: "&gt;"});
line( [ LOWER_BOUND, 0 ], [ UPPER_BOUND + 0.25 / SCALE, 0 ] );
style({arrows: ""});
// Draw Number Line Tick marks
for ( var x = LOWER_BOUND; x &lt;= UPPER_BOUND; x += 1 / DENOMINATOR ) {
line( [ x, -0.2 ], [ x, 0.2 ] );
}
// 0 and 1 tick marks
style({ stroke: BLUE, strokeWidth: 3.5 });
line( [ LOWER_BOUND, -0.2], [LOWER_BOUND, 0.2]);
label( [ LOWER_BOUND, -0.53 ], LOWER_BOUND, "center", { color: BLUE });
line( [ UPPER_BOUND, -0.2], [UPPER_BOUND, 0.2]);
label( [ UPPER_BOUND, -0.53 ], UPPER_BOUND, "center", { color: BLUE });
addMouseLayer();
graph.movablePoint = addMovablePoint({ constraints: { constrainY: true }, snapX: 0.25 / DENOMINATOR });
graph.movablePoint.onMove = function( x, y ) {
return [ min( max( LOWER_BOUND, x ), UPPER_BOUND ), y ];
};
</div>
</div>
<div class="solution" data-type="custom">
<span class="instruction"> Move the orange dot to select your answer. </span>
<div class="guess"> graph.movablePoint.coord[0] </div>
<div class="validator-function">
if ( guess === 0 ) {
return "";
}
return abs( SOLUTION - guess ) &lt; 0.001;
</div>
<div class="show-guess">
graph.movablePoint.setCoord( [ guess, 0 ] );
</div>
</div>
<div class="hints">
<p>Above we've drawn the number line from 0 to 1, divided into equal pieces.</p>
<p>The number line is divided into <code><var>DENOMINATOR</var></code> equal pieces, so each piece represents
<code><var>fraction(1, DENOMINATOR)</var></code>.</p>
<div>
<div class="graphie" data-update="number-line">
style({ stroke: "#6495ED", fill: "#6495ED", strokeWidth: 3.5, arrows: "-&gt;" });
line( [ 0, 0 ], [ SOLUTION, 0 ] );
graph.movablePoint.visibleShape.toFront();
</div>
<p>The orange dot should be shifted <span class="hint_blue"><code><strong><var>NUMERATOR</var></strong></code></span>
segment<var>plural(NUMERATOR)</var> over, as <code><var>fraction(NUMERATOR, DENOMINATOR)</var> =
<var>NUMERATOR</var>*<var>fraction(1, DENOMINATOR)</var></code></p>
</div>
<div>
<div class="graphie" data-update="number-line">
label( [ SOLUTION, -0.83 ], fraction(NUMERATOR, DENOMINATOR), "center", { color: "#FFA500" });
graph.movablePoint.moveTo( SOLUTION, 0 );
</div>
<p>The orange number shows where <code>\color{orange}{<var>fraction(NUMERATOR, DENOMINATOR)</var>}</code> is on the number line.</p>
</div>
</div>
</div>
</div>
</div>
</body>
</html>
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