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Reviewers: emily Reviewed By: emily CC: alpert Differential Revision: http://phabricator.khanacademy.org/D123
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<!DOCTYPE html> | ||
<html data-require="math graphie word-problems"> | ||
<head> | ||
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> | ||
<title>Comparing objects</title> | ||
<script src="../khan-exercise.js"></script> | ||
</head> | ||
<body> | ||
<div class="exercise"> | ||
<div class="vars"> | ||
<var id="SHAPE">randFromArray(["square", "circle", "triangle"])</var> | ||
<var id="SIZES">shuffle([4, 5.2, 6.4, 7.6, 8.8, 10], 4)</var> | ||
<var id="COLORS">shuffle(["#aec6f4", "#fdcf76", "#8ed4b8", "#fd79d4"])</var> | ||
<var id="DRAW">{}</var> | ||
</div> | ||
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<p class="question"> | ||
Which <var>SHAPE</var> is the <var>QUESTION</var>? | ||
</p> | ||
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<div class="problem"> | ||
<div class="graphie"> | ||
init({ range: [[0, 100], [-11, 11]], scale: [5, 5] }); | ||
var x = 0; | ||
DRAW.square = function(x, y, size, color) { | ||
KhanUtil.currentGraph.path([[x - size, y + size], [x + size, y + size], [x + size, y - size], | ||
[x - size, y - size], true], | ||
{ strokeWidth: 2, stroke: "black", fill: color }); | ||
}; | ||
DRAW.circle = function(x, y, size, color) { | ||
KhanUtil.currentGraph.circle([x, y], size, { strokeWidth: 2, stroke: "black", fill: color }); | ||
}; | ||
DRAW.triangle = function(x, y, size, color) { | ||
KhanUtil.currentGraph.path([[x, y + size], [x + (2 * size) / sqrt(3), y - size / sqrt(3)], | ||
[x - (2 * size) / sqrt(3), y - size / sqrt(3)], true ], | ||
{ strokeWidth: 2, stroke: "black", fill: color }); | ||
}; | ||
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_(4).times(function(i) { | ||
x += SIZES[i] + 5; | ||
DRAW[SHAPE](x, 0, SIZES[i], COLORS[i]); | ||
label([x, 0], "ABCD"[i]); | ||
x += SIZES[i]; | ||
}); | ||
</div> | ||
</div> | ||
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<p class="solution"><var>capitalize(SHAPE)</var> <code><var>SOLUTION</var></code></p> | ||
<ul class="choices" data-category="true"> | ||
<li><var>capitalize(SHAPE)</var> <code>A</code></li> | ||
<li><var>capitalize(SHAPE)</var> <code>B</code></li> | ||
<li><var>capitalize(SHAPE)</var> <code>C</code></li> | ||
<li><var>capitalize(SHAPE)</var> <code>D</code></li> | ||
</ul> | ||
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||
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<div class="problems"> | ||
<div id="biggest"> | ||
<div class="vars" data-apply="appendVars"> | ||
<var id="QUESTION">"biggest"</var> | ||
<var id="SOLUTION">"ABCD"[_.indexOf(SIZES, _.max(SIZES))]</var> | ||
<var id="COMPARISONS">(function() { | ||
var l = []; | ||
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for (var i = 1; i < 4; i++) { | ||
var first = l.length ? l[l.length - 1].larger : 0; | ||
var second = i; | ||
var larger = _.max([first, second], function(i) { return SIZES[i]; }); | ||
var smaller = _.min([first, second], function(i) { return SIZES[i]; }); | ||
l.push({ | ||
first: first, | ||
second: second, | ||
larger: larger, | ||
smaller: smaller | ||
}); | ||
} | ||
return l; | ||
})()</var> | ||
</div> | ||
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||
<div class="hints"> | ||
<p>Bigger things take up more space.</p> | ||
<p>Which <var>SHAPE</var> takes up the most space?</p> | ||
<div data-each="COMPARISONS as COMP" data-unwrap> | ||
<p> | ||
Which takes up more space? <var>capitalize(SHAPE)</var> <code><var>"ABCD"[COMP.first]</var></code> | ||
or <var>SHAPE</var> <code><var>"ABCD"[COMP.second]</var></code>? | ||
</p> | ||
<div> | ||
<div class="graphie" style="float: left"> | ||
init({ range: [[-11, 16], [-11, 11]], scale: [5, 5] }); | ||
DRAW[SHAPE](0, 0, SIZES[COMP.larger], COLORS[COMP.larger]); | ||
DRAW[SHAPE](0, 0, SIZES[COMP.smaller], COLORS[COMP.smaller]); | ||
label([0, 0], "ABCD"[COMP.smaller]); | ||
label([SIZES[COMP.larger] + 2, 0], "ABCD"[COMP.larger]); | ||
</div> | ||
<p style="height: 100px;"> | ||
We can move | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.smaller]</var></code> inside | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.larger]</var></code>, so | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.larger]</var></code> is bigger than | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.smaller]</var></code>. | ||
</p> | ||
</div> | ||
</div> | ||
<div> | ||
<div class="graphie" style="float: left"> | ||
init({ range: [[-11, 16], [-11, 11]], scale: [5, 5] }); | ||
_.each(sortNumbers(SIZES).reverse(), function(size) { | ||
DRAW[SHAPE](0, 0, size, COLORS[_.indexOf(SIZES, size)]); | ||
}); | ||
label([_.max(SIZES) + 2, 0], SOLUTION); | ||
</div> | ||
<p style="height: 100px;"> | ||
<var>capitalize(SHAPE)</var> <code><var>SOLUTION</var></code> is the biggest. | ||
</p> | ||
</div> | ||
</div> | ||
</div> | ||
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||
<div id="smallest"> | ||
<div class="vars" data-apply="appendVars"> | ||
<var id="QUESTION">"smallest"</var> | ||
<var id="SOLUTION">"ABCD"[_.indexOf(SIZES, _.min(SIZES))]</var> | ||
<var id="COMPARISONS">(function() { | ||
var l = []; | ||
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for (var i = 1; i < 4; i++) { | ||
var first = l.length ? l[l.length - 1].smaller : 0; | ||
var second = i; | ||
var larger = _.max([first, second], function(i) { return SIZES[i]; }); | ||
var smaller = _.min([first, second], function(i) { return SIZES[i]; }); | ||
l.push({ | ||
first: first, | ||
second: second, | ||
larger: larger, | ||
smaller: smaller | ||
}); | ||
} | ||
return l; | ||
})()</var> | ||
</div> | ||
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<div class="hints"> | ||
<p>Smaller things take up less space.</p> | ||
<p>Which <var>SHAPE</var> takes up the least space?</p> | ||
<div data-each="COMPARISONS as COMP" data-unwrap> | ||
<p> | ||
Which takes up less space? <var>capitalize(SHAPE)</var> <code><var>"ABCD"[COMP.first]</var></code> | ||
or <var>SHAPE</var> <code><var>"ABCD"[COMP.second]</var></code>? | ||
</p> | ||
<div> | ||
<div class="graphie" style="float: left"> | ||
init({ range: [[-11, 16], [-11, 11]], scale: [5, 5] }); | ||
DRAW[SHAPE](0, 0, SIZES[COMP.larger], COLORS[COMP.larger]); | ||
DRAW[SHAPE](0, 0, SIZES[COMP.smaller], COLORS[COMP.smaller]); | ||
label([0, 0], "ABCD"[COMP.smaller]); | ||
</div> | ||
<p style="height: 100px;"> | ||
We can move | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.smaller]</var></code> inside | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.larger]</var></code>, so | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.smaller]</var></code> is smaller than | ||
<var>SHAPE</var> <code><var>"ABCD"[COMP.larger]</var></code>. | ||
</p> | ||
</div> | ||
</div> | ||
<div> | ||
<div class="graphie" style="float: left"> | ||
init({ range: [[-11, 16], [-11, 11]], scale: [5, 5] }); | ||
_.each(sortNumbers(SIZES).reverse(), function(size) { | ||
DRAW[SHAPE](0, 0, size, COLORS[_.indexOf(SIZES, size)]); | ||
}); | ||
label([0, 0], SOLUTION); | ||
</div> | ||
<p style="height: 100px;"> | ||
<var>capitalize(SHAPE)</var> <code><var>SOLUTION</var></code> is the smallest. | ||
</p> | ||
</div> | ||
</div> | ||
</div> | ||
</div> | ||
</div> | ||
</body> | ||
</html> |