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ca5924d Marcia Lee Add exercise -- simpler equivalent fractions that approaches problem vis...
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1 <!DOCTYPE html>
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2 <html data-require="math graphie graphie-helpers word-problems">
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3 <head>
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4 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
5 <title>Equivalent fractions</title>
6 <script src="../khan-exercise.js"></script>
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7 </head>
8 <body>
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9 <div class="exercise">
10 <div class="vars" data-ensure="A < B">
11 <var id="A">randRange( 1, 3 )</var>
12 <var id="B">randRange( 2, 4 )</var>
13 <var id="M">randRange(2, 3)</var>
14 <var id="C">A * M</var>
15 <var id="D">B * M</var>
16 <var id="SYMBOL">binop( 1 )</var>
17 </div>
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18
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19 <div class="problems">
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20 <div id="numerator">
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21 <p class="question">What number could replace <code><var>SYMBOL</var></code> below?</p>
22 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>SYMBOL</var>}{<var>D</var>}</code></p>
23 <div class="solution" data-forms="integer"><var>C</var></div>
24 <div class="hints">
25 <div>
26 <p>The fraction on the left represents <var>A</var> out of <var>B</var> slices of a rectangular <var>pizza( 1 )</var>.</p>
27 <div class="graphie">
28 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
29 rectchart( [A, B - A], ["#e00", "#999"] );
30 </div>
31 </div>
32 <div>
33 <p>What if we cut the <var>pizza( 1 )</var> into <var>D</var> slices instead? How many slices would result in the same amount of <var>pizza( 1 )</var>?</p>
34 <div class="graphie">
35 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
36 rectchart( [0, D], ["#e00", "#999"] );
37 </div>
38 </div>
39 <div>
40 <p>We would need <var>C</var> slices.</p>
41 <div class="graphie">
42 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
43 rectchart( [C, D - C], ["#e00", "#999"] );
44 </div>
45 </div>
46 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>D</var>}</code> and so the answer is <code><var>C</var></code>.</p>
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47
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48 <div>
49 <p>Another way to get the answer is to multiply by <code>\dfrac{<var>M</var>}{<var>M</var>}</code>.</p>
50 <p><code>\dfrac{<var>M</var>}{<var>M</var>} = \dfrac{1}{1} = 1</code> so really we are multiplying by 1.</p>
51 </div>
52 <p>The final equation is: <code>\dfrac{<var>A</var>}{<var>B</var>} \times \dfrac{<var>M</var>}{<var>M</var>} = \dfrac{<var>C</var>}{<var>D</var>} </code> so our answer is <code><var>C</var></code>.</p>
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53
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54 </div>
55 </div>
ca5924d Marcia Lee Add exercise -- simpler equivalent fractions that approaches problem vis...
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56
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57 <div id="denominator">
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58 <p class="question">What number could replace <code><var>SYMBOL</var></code> below?</p>
59 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>SYMBOL</var>}</code></p>
60 <div class="solution" data-forms="integer"><var>D</var></div>
61 <div class="hints">
62 <div>
63 <p>The fraction on the left represents <var>A</var> out of <var>B</var> slices of a rectangular <var>pizza( 1 )</var>.</p>
64 <div class="graphie">
65 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
66 rectchart( [A, B - A], ["#e00", "#999"] );
67 </div>
68 </div>
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69
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70 <div>
71 <p>How many total slices would we need if we want the same amount of <var>pizza( 1 )</var> in <var>C</var> slices? </p>
72 <div class="graphie">
73 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
74 rectchart( [C, D - C], ["#e00", "#fff"] );
75 </div>
76 </div>
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77
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78 <div>
79 <p>We would need to cut the <var>pizza( 1 )</var> into <var>D</var> slices.</p>
80 <div class="graphie">
81 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
82 rectchart( [C, D - C], ["#e00", "#999"] );
83 </div>
84 </div>
85 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>D</var>}</code> and so the answer is <code><var>D</var></code>.</p>
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86
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87 <div>
88 <p>Another way to get the answer is to multiply by <code>\dfrac{<var>M</var>}{<var>M</var>}</code>.</p>
89 <p><code>\dfrac{<var>M</var>}{<var>M</var>} = \dfrac{1}{1} = 1</code> so really we are multiplying by 1.</p>
90 </div>
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91
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92 <p>The final equation is: <code>\dfrac{<var>A</var>}{<var>B</var>} \times \dfrac{<var>M</var>}{<var>M</var>} = \dfrac{<var>C</var>}{<var>D</var>} </code> so our answer is <code><var>D</var></code>.</p>
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93
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94 </div>
95 </div>
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96
97 <div id="custom-7" data-weight="0" data-type="numerator">
98 <div class="vars">
99 <var id="A">1</var>
100 <var id="B">2</var>
101 <var id="M">2</var>
102 <var id="C">A * M</var>
103 <var id="D">B * M</var>
104 <var id="SYMBOL">"\\otimes"</var>
105 </div>
106 </div>
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107 </div>
108 </div>
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109 </body>
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110 </html>
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