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il-demo-dec-2023.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width">
<title>Imagine Learning, December 2023</title>
</head>
<body>
<script src="https://www.desmos.com/api/v1.9/calculator.js?apiKey=dcb31709b452b1cf9dc26972add0fda6"></script>
<script src="https://www.desmos.com/api/v1.9/calculator-3d.js?apiKey=dcb31709b452b1cf9dc26972add0fda6"></script>
<h2>Standard Interactive</h2>
<p>
This example shows what a <a href="https://www.desmos.com/geometry/s30sxhdxi7">single construction</a> would look like in context, without any of the tools visible:
</p>
<div id="thermometer" style="width: 450px; height: 600px; margin-bottom: 20px;"></div>
<h2>Example of side-by-side graphs</h2>
<p>
This example adds a little code to connect a <a href="https://www.desmos.com/geometry/fatcx9vm0r">construction</a> with a <a href="https://www.desmos.com/3d/9546762e72">3D plot</a>:
</p>
<div class="calc-containers">
<div id="revolution-geo" style="width: 500px; height: 450px;">
</div><div id="revolution-3d" style="width: 500px; height: 450px;"></div>
</div>
<style>
* {
font-family: Hellix SemiBold,Verdana,Arial,Helvetica,sans-serif
}
body {
padding: 10px;
}
a {
color: #2f72dc;
}
p {
color: #444;
margin-top: 0;
}
h2 {
font-weight: normal;
margin-top: 0;
margin-bottom: 0.25em;
padding: 0;
}
.calc-containers {
display: flex;
min-width: 500px;
}
</style>
<script>
var thermometer = Desmos.Geometry(document.getElementById('thermometer'), {
expressions: false,
hideGeoUI: true,
settingsMenu: false,
lockViewport: true,
branding: false
});
var revolutionGeo = Desmos.Geometry(document.getElementById('revolution-geo'), {
expressions: false,
hideGeoUI: true,
settingsMenu: false,
lockViewport: true,
branding: false
});
var revolution3d = Desmos.Calculator3d(document.getElementById('revolution-3d'), {
expressions: false,
hideGeoUI: true,
settingsMenu: false,
branding: false,
});
thermometer.setState({
"version": 11,
"randomSeed": "a1a13b559f67cbc6874b5c9c82b7f2f0",
"graph": {
"viewport": {
"xmin": -26.71407552431883,
"ymin": -64.66948966876768,
"xmax": 70.02064971489236,
"ymax": 76.21144654324715
},
"showGrid": false,
"showXAxis": false,
"showYAxis": false,
"degreeMode": true,
"product": "geometry-calculator"
},
"expressions": {
"list": [
{
"type": "folder",
"id": "**dcg_geo_folder**",
"title": "geometry",
"secret": true
},
{
"type": "folder",
"id": "76",
"title": "Variables",
"collapsed": true
},
{
"type": "expression",
"id": "34",
"folderId": "76",
"color": "#388c46",
"latex": "S_{tart}=30",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "-30",
"max": "50",
"step": "1"
}
},
{
"type": "expression",
"id": "35",
"folderId": "76",
"color": "#6042a6",
"latex": "C_{hange}=14",
"slider": {
"hardMin": true,
"hardMax": true,
"min": "-40",
"max": "40",
"step": "1"
}
},
{
"type": "expression",
"id": "7",
"folderId": "76",
"color": "#c74440",
"latex": "T_{emp}=S_{tart}+C_{hange}",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "-35",
"max": "55"
}
},
{
"type": "expression",
"id": "77",
"folderId": "76",
"color": "#c74440",
"latex": "f=\\frac{\\operatorname{width}}{800}"
},
{
"type": "folder",
"id": "31",
"title": "Sliders",
"collapsed": true
},
{
"type": "expression",
"id": "32",
"folderId": "31",
"color": "#2d70b3",
"latex": "\\left(10+40t,40\\right)"
},
{
"type": "expression",
"id": "36",
"folderId": "31",
"color": "#388c46",
"latex": "\\left(10+40t,20\\right)"
},
{
"type": "expression",
"id": "37",
"folderId": "31",
"color": "#388c46",
"latex": "\\left(10+\\frac{1}{2}\\left(C_{hange}+40\\right),20\\right)",
"showLabel": true,
"label": "`\\space${C_{hange}}°`",
"labelSize": "f\\cdot1.25",
"labelOrientation": "above"
},
{
"type": "expression",
"id": "33",
"folderId": "31",
"color": "#2d70b3",
"latex": "\\left(10+\\frac{1}{2}\\left(S_{tart}+30\\right),40\\right)",
"showLabel": true,
"label": "`\\space${S_{tart}}°`",
"labelSize": "f\\cdot1.25"
},
{
"type": "folder",
"id": "41",
"title": "Vectors",
"collapsed": true
},
{
"type": "expression",
"id": "38",
"folderId": "41",
"color": "#2d70b3",
"latex": "\\operatorname{vector}\\left(\\left(-12,0\\right),\\left(-12,S_{tart}\\right)\\right)"
},
{
"type": "expression",
"id": "39",
"folderId": "41",
"color": "#388c46",
"latex": "\\operatorname{vector}\\left(\\left(-10,S_{tart}\\right),\\left(-10,S_{tart}+C_{hange}\\right)\\right)"
},
{
"type": "folder",
"id": "43",
"title": "Text",
"collapsed": true
},
{
"type": "expression",
"id": "44",
"folderId": "43",
"color": "#000000",
"latex": "\\left(10,35\\right)",
"showLabel": true,
"label": "Starting Temperature = ${S_{tart}}° C",
"hidden": true,
"labelSize": "f\\cdot1.5",
"labelOrientation": "right"
},
{
"type": "expression",
"id": "45",
"folderId": "43",
"color": "#000000",
"latex": "\\left(10,15\\right)",
"showLabel": true,
"label": "Change = ${C_{hange}}° C",
"hidden": true,
"labelSize": "f\\cdot1.5",
"labelOrientation": "right"
},
{
"type": "folder",
"id": "22",
"title": "Thermometer",
"collapsed": true
},
{
"type": "text",
"id": "74",
"folderId": "22",
"text": "Tick marks and numbers"
},
{
"type": "expression",
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"color": "#c74440",
"latex": "T_{1}=\\left[0,10...50\\right]"
},
{
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"color": "#000000",
"latex": "T_{2}=\\left[-30,-20,-10\\right]"
},
{
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"color": "#000000",
"latex": "\\left(.7,T_{1}\\right)",
"showLabel": true,
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},
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"hidden": true,
"labelSize": "f",
"labelOrientation": "right"
},
{
"type": "expression",
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"color": "#000000",
"latex": "\\left(-4+t,\\left[-30,-28,...,50\\right]\\right)",
"lineWidth": "1"
},
{
"type": "expression",
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"color": "#000000",
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},
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"id": "70",
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"text": "Filled meter"
},
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"colorLatex": "R_{ed}",
"fillOpacity": "1"
},
{
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"lines": false,
"colorLatex": "R_{ed}",
"fillOpacity": "1"
},
{
"type": "text",
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},
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},
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"title": "Colors",
"collapsed": true
},
{
"type": "expression",
"id": "8",
"folderId": "24",
"color": "#2d70b3",
"latex": "R_{ed}=\\operatorname{rgb}\\left(234,51,37\\right)"
},
{
"type": "folder",
"id": "47",
"title": "Buttons"
},
{
"type": "expression",
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}
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}
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"latex": "\\left(13,-5\\right)\\left\\{S_{howEqn}=1\\right\\}\\left\\{C_{hange}\\ge0\\right\\}",
"showLabel": true,
"label": "`${S_tart}+${C_hangePos}=${T_{emp}}`",
"hidden": true,
"labelSize": "2f",
"labelOrientation": "right"
},
{
"type": "expression",
"id": "59",
"folderId": "55",
"color": "#000000",
"latex": "\\left(13,-5\\right)\\left\\{S_{howEqn}=1\\right\\}\\left\\{C_{hange}<0\\right\\}",
"showLabel": true,
"label": "`${S_tart}-${C_hangePos}=${T_{emp}}`",
"hidden": true,
"labelSize": "2f",
"labelOrientation": "right"
}
]
}
})
revolutionGeo.setState({
"version": 11,
"randomSeed": "b94ed6b244c6a7aaadf0e30d79f6004a",
"graph": {
"viewport": {
"xmin": -1,
"ymin": -3.1485849056603774,
"xmax": 5,
"ymax": 3.1485849056603774
},
"degreeMode": true,
"product": "geometry-calculator"
},
"expressions": {
"list": [
{
"type": "folder",
"id": "**dcg_geo_folder**",
"title": "geometry",
"secret": true
},
{
"type": "expression",
"id": "2",
"folderId": "**dcg_geo_folder**",
"color": "#6042a6",
"latex": "\\token{2}=\\operatorname{polygon}\\left(p_2,p_3,p_4\\right)"
},
{
"type": "expression",
"id": "13",
"folderId": "**dcg_geo_folder**",
"color": "#6042a6",
"latex": "\\token{13}=\\left(1.416,-1.4\\right)",
"hidden": true
},
{
"type": "expression",
"id": "12",
"folderId": "**dcg_geo_folder**",
"color": "#000000",
"latex": "\\token{12}=\\operatorname{segment}\\left(\\token{13},\\token{15}\\right)"
},
{
"type": "expression",
"id": "15",
"folderId": "**dcg_geo_folder**",
"color": "#6042a6",
"latex": "\\token{15}=\\left(3.616,-1.4\\right)",
"hidden": true
},
{
"type": "folder",
"id": "32",
"title": "Points defining the triangle",
"collapsed": true
},
{
"type": "expression",
"id": "5",
"folderId": "32",
"color": "#6042a6",
"latex": "p_{4}=\\left(A,0\\right)",
"dragMode": "X"
},
{
"type": "expression",
"id": "27",
"folderId": "32",
"color": "#388c46",
"latex": "A=1",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "4"
}
},
{
"type": "expression",
"id": "3",
"folderId": "32",
"color": "#6042a6",
"latex": "p_{2}=\\left(B,0\\right)",
"dragMode": "X"
},
{
"type": "expression",
"id": "28",
"folderId": "32",
"color": "#6042a6",
"latex": "B=4",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "A+.5",
"max": "4.5"
}
},
{
"type": "expression",
"id": "4",
"folderId": "32",
"color": "#6042a6",
"latex": "p_{3}=\\left(C,\\ D\\right)"
},
{
"type": "expression",
"id": "29",
"folderId": "32",
"color": "#000000",
"latex": "C=1",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "4.5"
}
},
{
"type": "expression",
"id": "30",
"folderId": "32",
"color": "#c74440",
"latex": "D=1.016",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "2.5"
}
},
{
"type": "folder",
"id": "34",
"title": "Points defining rotation angle",
"collapsed": true
},
{
"type": "expression",
"id": "21",
"folderId": "34",
"color": "#000000",
"latex": "p_{1}=\\operatorname{glider}\\left(\\token{12},a\\right)",
"showLabel": true,
"label": "`\\space${d}°`",
"labelOrientation": "above"
},
{
"type": "expression",
"id": "26",
"folderId": "34",
"color": "#2d70b3",
"latex": "a=0",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "1"
}
},
{
"type": "expression",
"id": "1",
"folderId": "34",
"color": "#c74440",
"latex": "d=\\operatorname{round}\\left(360a\\right)"
},
{
"type": "expression",
"id": "36",
"folderId": "34",
"color": "#c74440",
"latex": "R=2\\pi\\cdot a"
}
]
}
})
revolution3d.setState({
"version": 11,
"randomSeed": "a4a9005b8f2e6813dc2d9a93a30c402b",
"graph": {
"viewport": {
"xmin": -1,
"ymin": -3,
"zmin": -3,
"xmax": 5,
"ymax": 3,
"zmax": 3
},
"userLockedViewport": true,
"threeDMode": true,
"worldRotation3D": [
-0.5132799671593364,
-0.8314696123025455,
-0.212607523691814,
0.7681777567114166,
-0.555570233019602,
0.3181896451432085,
-0.3826834323650897,
0,
0.9238795325112867
],
"axis3D": [
0,
0,
-1.0000000000008726
],
"product": "graphing-3d"
},
"expressions": {
"list": [
{
"type": "expression",
"id": "8",
"color": "#388c46",
"latex": "R=0",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "2\\pi"
}
},
{
"type": "folder",
"id": "50",
"title": "Variables for the base triangle",
"collapsed": true
},
{
"type": "expression",
"id": "42",
"folderId": "50",
"color": "#388c46",
"latex": "A=1",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "4"
}
},
{
"type": "expression",
"id": "44",
"folderId": "50",
"color": "#aaaaaa",
"latex": "B=4",
"hidden": true,
"slider": {
"hardMin": true,
"min": "A+.5",
"max": "10"
}
},
{
"type": "expression",
"id": "46",
"folderId": "50",
"color": "#2d70b3",
"latex": "C=1",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "4.5"
}
},
{
"type": "expression",
"id": "47",
"folderId": "50",
"color": "#388c46",
"latex": "D=1",
"hidden": true,
"slider": {
"hardMin": true,
"hardMax": true,
"min": "0",
"max": "2.5"
}
},
{
"type": "folder",
"id": "66",
"title": "Show points",
"collapsed": true
},
{
"type": "expression",
"id": "41",
"folderId": "66",
"color": "#6042a6",
"latex": "p_{1}=\\left(A,0,0\\right)",
"pointSize": "2"
},
{
"type": "expression",
"id": "43",
"folderId": "66",
"color": "#6042a6",
"latex": "p_{2}=\\left(B,0,0\\right)",
"pointSize": "2"
},
{
"type": "expression",
"id": "45",
"folderId": "66",
"color": "#6042a6",
"latex": "p_{3}=\\left(C,D,0\\right)",
"pointSize": "2"
},
{
"type": "expression",
"id": "56",
"folderId": "66",
"color": "#6042a6",
"latex": "p_{4}=\\left(C,\\ D\\cos R,\\ D\\sin R\\right)",
"pointSize": "2"
},
{
"type": "folder",
"id": "68",
"title": "Show segments",
"collapsed": true
},
{
"type": "expression",
"id": "57",
"folderId": "68",
"color": "#6042a6",
"latex": "\\operatorname{segment}\\left(p_{1},\\ p_{4}\\right)"
},
{
"type": "expression",
"id": "58",
"folderId": "68",
"color": "#6042a6",
"latex": "\\operatorname{segment}\\left(p_{2},\\ p_{4}\\right)"
},
{
"type": "expression",
"id": "59",
"folderId": "68",
"color": "#6042a6",
"latex": "\\operatorname{segment}\\left(p_{1},\\ p_{3}\\right)"
},
{
"type": "expression",
"id": "60",
"folderId": "68",
"color": "#6042a6",
"latex": "\\operatorname{segment}\\left(p_{2},\\ p_{3}\\right)"
},
{
"type": "expression",
"id": "61",
"folderId": "68",
"color": "#6042a6",
"latex": "\\operatorname{segment}\\left(p_{1},\\ p_{2}\\right)"
},
{
"type": "folder",
"id": "52",
"title": "Draw rotations",
"collapsed": true
},
{
"type": "text",
"id": "54",
"folderId": "52",
"text": "This is the path that point p3 follows:"
},
{
"type": "expression",
"id": "40",
"folderId": "52",
"color": "#6042a6",
"latex": "\\left(C,\\ D\\cos t,\\ D\\sin t\\right)\\ \\operatorname{for}\\ 0<t<R"
},
{
"type": "expression",
"id": "55",
"folderId": "52",
"color": "#6042a6",
"latex": "\\left(Cu+B\\left(1-u\\right),\\ Du\\cos t,\\ Du\\sin t\\right)\\ \\operatorname{for}\\ 0<t<R,\\ 0<u<1"
},
{
"type": "expression",
"id": "69",
"folderId": "52",
"color": "#6042a6",
"latex": "\\left(Cu+A\\left(1-u\\right),\\ Du\\cos t,\\ Du\\sin t\\right)\\ \\operatorname{for}\\ 0<t<R,\\ 0<u<1"
},
{
"type": "expression",
"id": "62",
"folderId": "52",
"color": "#6042a6",
"latex": "\\operatorname{triangle}\\left(p_{1},\\ p_{2},\\ p_{4}\\right)"
},
{
"type": "expression",
"id": "48",
"folderId": "52",
"color": "#6042a6",
"latex": "\\operatorname{triangle}\\left(p_{1},\\ p_{2},\\ p_{3}\\right)"
},
{
"type": "expression",
"id": "70",
"color": "#c74440"
}
]
}
});
function hookupHelper(name, id) {
var helper = revolutionGeo.HelperExpression({ latex: name });