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khanacademy.html
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<!DOCTYPE html>
<html lang="en"
itemscope itemtype="http://schema.org/Organization"
xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:og="http://opengraphprotocol.org/schema/"
xmlns:fb="http://www.facebook.com/2008/fbml" >
<head prefix="og: http://ogp.me/ns# khanacademy:
http://ogp.me/ns/apps/khanacademy#">
<script>
window.KA_ENABLE_SENTRY = true;
</script>
<title>Khan Academy | Free Online Courses, Lessons & Practice</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="description" content="You can learn anything. Expert-created content and resources for every course and level. Always free." />
<meta property="fb:app_id" content="160249463991765"/>
<meta property="fb:admins" content="100000121497109,1305017,100001572496923"/>
<meta property="og:site_name" content="Khan Academy"/>
<meta property="og:url" content="http://www.khanacademy.org"/>
<meta property="og:type" content="non_profit"/>
<meta property="og:title" content="Khan Academy"/>
<meta property="og:description" content="Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere."/>
<meta property="og:image" content="https://cdn.kastatic.org/images/khan-logo-dark-background.new.png"/>
<meta property="og:image:width" content="381"/>
<meta property="og:image:height" content="200"/>
<meta property="fb:page_id" content="159403248441" />
<meta name="twitter:site" content="@khanacademy">
<meta name="twitter:title" content="Khan Academy">
<meta name="twitter:description" content="Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.">
<meta name="twitter:image" content="https://cdn.kastatic.org/images/khan-logo-dark-background.new.png">
<meta itemprop="name" content="Khan Academy">
<meta itemprop="description" content="Watch. Practice. Learn almost anything for free.">
<meta itemprop="image" content="https://cdn.kastatic.org/images/khan-logo-dark-background.new.png">
<link rel="shortcut icon" href="/favicon.ico?logo">
<link rel="apple-touch-icon-precomposed" sizes="57x57" href="https://cdn.kastatic.org/images/apple-touch-icon-57x57-precomposed.new.png"/>
<link rel="apple-touch-icon-precomposed" sizes="72x72" href="https://cdn.kastatic.org/images/apple-touch-icon-72x72-precomposed.new.png"/>
<link rel="apple-touch-icon-precomposed" sizes="114x114" href="https://cdn.kastatic.org/images/apple-touch-icon-114x114-precomposed.new.png"/>
<link rel="apple-touch-icon-precomposed" sizes="144x144" href="https://cdn.kastatic.org/images/apple-touch-icon-144x144-precomposed.new.png"/>
<link rel='stylesheet' type='text/css' href='https://cdn.kastatic.org/genwebpack/prod/en/javascript/app-shell-package/app-entry~./stylesheets/shared-minimal-package/shared-minimal.a7b033c9e19bd14d7d21.css'>
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!important;display:-moz-box !important;display:-ms-flexbox !important;display:-webkit-flex !important;display:flex !important;-webkit-flex-direction:column !important;-ms-flex-direction:column !important;flex-direction:column !important;padding:0px !important;position:relative !important;z-index:0 !important;min-height:0px !important;min-width:0px !important;margin:-80px 0 80px 0 !important;}@media screen and (max-width: 1023px) /* mediaQueries.mdOrSmaller */{._vhudmz2{margin-top:0px !important;}}._1qqvwcwk{-webkit-box-pack:center !important;-ms-flex-pack:center !important;-webkit-box-align:center !important;-ms-flex-align:center !important;-webkit-box-direction:normal !important;-webkit-box-orient:vertical !important;border-width:0px !important;border-style:solid !important;-moz-box-sizing:border-box !important;box-sizing:border-box !important;display:-webkit-box !important;display:-moz-box !important;display:-ms-flexbox !important;display:-webkit-flex !important;display:flex 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220.298 506.67 255.527 480.435 311.193C454.2 366.86 461.67 417.553 407.906 442.336C359.682 464.566 303.656 486.011 292.623 490.195C291.321 490.688 290.037 490.891 288.647 490.811C272.996 489.907 172.044 484.034 161.194 482.301C150.764 480.635 101.751 461.938 90.7552 457.714Z" fill="#C4C4C4"></path></mask><g style="transform:translateY(0px) translateX(0px) translateZ(0);will-change:transform"><g mask="url(#lohp_hero_mobile_orange_mask)"><rect x="0" height="429" width="529.5" y="97.0001" fill="#ed8b76"></rect><image style="pointer-events:none" href="https://cdn.kastatic.org/images/lohp/orange_mobile_v31.jpeg" xlink:href="https://cdn.kastatic.org/images/lohp/orange_mobile_v31.jpeg" x="0" height="429" width="529.5" y="97.0001"></image></g></g></svg></div><h1 class="_1agbrc6d">For every student,every classroom.Real results.</h1><p class="_el81vex"><span class="_1gf4zc3">We’re a nonprofit with the mission to provide a free, world-class education for anyone, anywhere.</span></p><div 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76.9717 69.8215C76.9717 69.0543 77.003 68.2813 76.8995 67.52C76.0497 61.2638 75.9978 54.454 75.9978 48.1245C75.9978 45.4328 76.0255 42.2892 75.601 39.6267C75.339 37.9837 75.5428 36.2536 75.096 34.6697C74.8749 33.8861 75.2754 32.8275 74.6271 32.1912C74.2419 31.8131 72.5076 32.1125 72.0299 32.1125C71.185 32.1125 67.898 32.6525 68.2063 32.8206" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M86.2324 29.5745C87.3358 39.3115 87.2669 49.143 87.2669 58.9306C87.2669 61.0865 86.5267 65.846 87.8799 67.6022C88.4073 68.2865 87.6406 69.5033 89.1826 68.7757C90.5606 68.1253 92.5152 68.2387 94.0102 68.2387C94.8629 68.2387 96.2324 68.6459 96.2324 67.5028C96.2324 64.3912 95.8876 61.3416 95.8876 58.2146C95.8876 48.8145 95.1979 39.4862 95.1979 30.1115C95.1979 28.8976 95.1297 28.765 94.1635 29.296C93.4559 29.6849 92.3592 29.7322 91.5772 29.9126C90.0625 30.2621 85.3703 29.9325 86.9221 29.9325" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M5.16015 88C4.98272 87.5314 2.48815 80.3312 3.45391 80.0536C6.68186 79.1257 10.8663 79.5275 14.1867 79.5275C29.7521 79.5275 45.3393 77.328 60.8883 76.5649C74.9331 75.8756 89.1866 75.5405 103.242 75.5405C106.191 75.5405 109.099 75.6983 111.911 75.0698C114.784 74.4273 114.14 78.3854 114.14 80.2474C114.14 81.0139 114.55 84.4577 113.644 84.5113C110.497 84.6976 107.055 85.3839 103.957 84.7605C97.8032 83.5222 91.4937 84.5103 85.2987 83.9022C76.7547 83.0636 67.8792 84.0129 59.2647 84.0129C47.3922 84.0129 34.9335 84.5755 23.2409 86.754C17.7963 87.7684 1.10916 87.5016 6.64624 87.5016" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M52.2324 32.25C52.2324 36.9047 52.4427 41.5485 52.4824 46.1944C52.5127 49.737 52.2682 53.3394 52.4963 56.875C52.7655 61.0467 52.9824 65.3316 52.9824 69.5C52.9824 70.619 53.4622 69.9812 54.2324 70.3056C55.0807 70.6627 56.6824 70.75 57.6074 70.75C58.4799 70.75 59.233 70.5 60.1074 70.5C61.5539 70.5 60.6452 68.9725 60.4269 67.75C58.6885 58.0152 58.0845 48.0529 57.7324 38.1944C57.6648 36.3019 57.4546 34.1138 57.4546 32.3889C57.4546 32.3417 55.3578 32 55.1213 32C54.1288 32 53.5867 32.4652 52.7324 32.75" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path></svg></div><div class="_u65sq1a"><h3 class="_eib2kdk">Trusted content</h3><span class="_1jhgniwy">Created by experts, Khan Academy’s library of trusted, standards-aligned practice and lessons covers math K-12 through early college, grammar, science, history, SAT®, and more. It’s all free for learners and teachers.</span></div></div></div><div class="_1h26rsod"></div><div class="_3vgeo5o"><div class="_5hffmqw"><div class="_1wq0cf2d"><svg fill="none" height="101" viewBox="0 0 133 101" width="133" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path d="M104.991 65.7341C93.7893 76.9591 88.6184 81.5151 79.3678 86.7574C70.1172 91.9997 53.8726 99.9862 49.6212 100.363C45.3698 100.741 32.0332 99.3573 28.9398 97.4526C25.8545 95.5433 8.25927 75.5772 6.56742 71.7904C4.87004 68.0128 20.7057 55.6499 26.9665 49.3945C33.2272 43.1391 42.4197 37.7923 57.7367 33.9891C73.0619 30.1814 86.3172 22.6696 94.0725 26.403C101.828 30.1364 109.536 35.2532 109.536 35.2532C109.536 35.2532 110.358 51.3131 110.118 53.0745C109.879 54.8358 104.991 65.7341 104.991 65.7341Z" fill="#BDE9DB"></path><path d="M28.9993 52.9999C28.9993 56.9906 26.3468 70.9999 31.7771 70.9999C37.0189 70.9999 42.1431 70.9593 41.9993 64.7777C41.9239 61.5363 40.9993 58.5037 40.9993 55.2221C40.9993 53.1652 42.1866 52.9999 39.9993 52.9999C37.9506 52.9999 29.0997 51.2006 29.9993 52.9999" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M53.0003 67C52.8454 56.4706 50.5873 44.9793 50.0003 35C49.7798 31.2521 50.2085 31 54.0003 31C56.4992 31 58.5731 31.2384 61.0003 31.7778C62.7628 32.1695 65.1344 30.7923 66.4447 31.1667C68.8717 31.8601 67.0003 60.6232 67.0003 65.5C67.0003 69.3799 63.9794 67.5212 61.0003 68.2222C59.8558 68.4915 53.3415 69 57.0003 69" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M76.0537 9.94443C75.6903 9.86369 77.2844 60.04 77.4426 67C78.5 70.5 88.356 69.5 90.9426 69.5C94.8281 69.5 92.2204 67 92.2204 63C91.4426 60 91.4426 51.8609 91.4426 49.9444C91.4426 39.3346 90.3984 28.1428 92.2204 17.6667C93.0216 13.0593 91.8891 13 87.6648 13C83.7376 13 79.8354 10.7848 76.0537 9.94443Z" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M3 53C16.924 48.8228 26.2875 41.5192 34.6726 29.9091C37.8596 25.4963 41.2098 20.3736 43.6082 15.5768" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M32.4609 18.762C34.839 16.8119 38.5625 12.7983 42.0158 12.3921C43.3924 12.2301 44.1329 9.89979 45.997 10.0034C49.5903 10.203 47.2402 20.5779 49.9782 21.9469" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M128.5 35C127.805 37.5491 127.329 40.4822 128.389 43C128.835 44.0603 128.122 43.9144 127.5 43.5" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M122 40.4999C124.832 40.8539 127.154 40.1579 129.889 39.611C130.832 39.4224 131.412 39.4119 132 39.9999" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M113 4.89258C113.559 1.88669 113 -1.49795 113 3.69813C113 5.78968 114 11.9841 114 9.89258" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M108 4.8928C109.505 4.6419 119.5 2.9771 119.5 5.3928" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M6 8C6.456 11.591 6.5 15.1398 6.5 18.75C6.5 19.1839 6.64387 22.7877 6 21.5" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path><path d="M1 16C4.60253 15.052 8.06366 16.0195 11.6111 15.3889C12.1851 15.2868 14.0563 15.0563 13.5 14.5" stroke="#21242c" stroke-linecap="round" stroke-linejoin="round" stroke-width="2"></path></svg></div><div class="_u65sq1a"><h3 class="_eib2kdk">Tools to empower teachers</h3><span class="_1jhgniwy">With Khan Academy, teachers can identify gaps in their students’ understanding, tailor instruction, and meet the needs of every student.</span></div></div></div></div></div></div><div class="_1x3vdj2l"><div class="_cw9itor"><svg aria-hidden="true" fill="none" viewBox="80 0 741 520" class="_18oi75re _1g928bt "></svg></div><div class="_gzw0fm6"><svg aria-hidden="true" fill="none" viewBox="80 0 741 520" class="_18oi75re _1g928bt "></svg></div><div aria-hidden="true" class="_4bsxcct"></div><div class="_mbioy"><span class="_1xfrfndw">TEACHERS</span><h2 class="_tnisq39">“I’m finally able to truly differentiate my classroom. This has been priceless for my students’ engagement.”</h2><span class="_12ekvbx">UDAYA LAKSHMI PALAPALA / Middle school Coordinator / Hyderabad, Telangana</span><p class="_6g8vjfk">We empower teachers to support their entire classroom. 90% of US teachers who have used Khan Academy have found us effective.</p><span class="_1ebwcljx">SOURCE: 2018 ConStat U.S. Online Education Customer Survey</span><div class="_fctr8xf"><div class="_xo579zs"><a role="button" tabindex="0" href="/signup?isteacher=1" class="_14uvcb7"><span class="_1wylm4ef"><div class="_1qbaeg9v">Teachers, start here</div></span></a></div><div aria-hidden="true" class="_rg8deia"></div></div><div class="_11nxon6w"><a role="button" tabindex="0" href="/signup?isteacher=1" class="_1l0xpe7f"><span class="_1wylm4ef"><div class="_xu2jcg">Teachers, start here</div></span></a></div></div></div><div class="_bqhq1hy"><div class="_cw9itor"><div class="_u0qwyzf"><svg aria-hidden="true" fill="none" viewBox="100 115 800 539" class="_113kehyv _1xhfxo7 "></svg></div></div><div class="_gzw0fm6"><div class="_u0qwyzf"><svg aria-hidden="true" fill="none" viewBox="100 115 800 539" class="_113kehyv _1xhfxo7 "></svg></div></div><div aria-hidden="true" class="_4bsxcct"></div><div class="_mbioy"><span class="_1xfrfndw">LEARNERS AND STUDENTS</span><h2 class="_ji9nyhl">You can learn anything.</h2><p class="_y4cg9fa">Build a deep, solid understanding in math, science, grammar, history, SAT®, and more.</p><div class="_fctr8xf"><div class="_xo579zs"><a role="button" tabindex="0" href="/signup" class="_14uvcb7"><span class="_1wylm4ef"><div class="_1qbaeg9v">Learners, start here</div></span></a></div><div aria-hidden="true" class="_rg8deia"></div></div><div class="_11nxon6w"><a role="button" tabindex="0" href="/signup" class="_1l0xpe7f"><span class="_1wylm4ef"><div class="_xu2jcg">Learners, start here</div></span></a></div></div></div><div class="_vhudmz2"><svg viewBox="0 0 1366 631" height="631" class="_dkkao8NaN" preserveAspectRatio="none" aria-hidden="true"><path d="M1366 614.626V42.2878C1216.44 32.481 1071.16 25.6274 902.892 20.0618C647.674 11.6203 291.457 3.37253 0 0.135254V612.111C313.572 631.987 694.403 637.367 1189.78 619.86C1248.63 617.783 1307.48 616.071 1366 614.626Z" fill="#F7F5F4"></path></svg><svg viewBox="0 0 376 621" height="621" class="_dvwof5NaN" preserveAspectRatio="none" aria-hidden="true"><path d="M0 9.68462V617.774C147.168 622.024 270.083 621.875 376 618.496V0C260.308 0 77.1282 6.45641 0 9.68462Z" fill="#F7F5F4"></path></svg><div class="_1qqvwcwk"><div class="_kshjfs3"><span class="_1waf7l6b">“When I was a child, I used to fear mathematics. But now, I am in love with mathematics because of Khan Academy.”</span><div class="_1wqqgcad"><div class="_46s8e9s"><img class="_1k6dqj1" alt="" src="https://cdn.kastatic.org/images/lohp/v1-anjali-2x.png"/></div><div class="_uzt8817"><span class="_dgtlqba">ANJALI</span><span class="_1hjwrn16">Gurugram, Haryana</span></div></div></div></div></div><div class="_1x3vdj2l"><div class="_cw9itor"><svg aria-hidden="true" fill="none" viewBox="0 0 619 496" class="_18oi75re _18c3ikb "></svg></div><div class="_gzw0fm6"><svg aria-hidden="true" fill="none" viewBox="0 0 619 496" class="_18oi75re _18c3ikb "></svg></div><div aria-hidden="true" class="_4bsxcct"></div><div class="_mbioy"><span class="_1xfrfndw">TOGETHER WE CAN MAKE A DIFFERENCE</span><h2 class="_ji9nyhl">Every child deserves the chance to learn.</h2><p class="_y4cg9fa">Across the globe, 617 million children are missing basic math and reading skills. We’re a nonprofit delivering the education they need, and we need your help. You can change the course of a child’s life.</p><div class="_fctr8xf"><div class="_xo579zs"><a role="button" tabindex="0" class="_14uvcb7" href="/donors"><span class="_1wylm4ef"><div class="_1qbaeg9v">Give them the chance</div></span></a></div><div aria-hidden="true" class="_rg8deia"></div></div><div class="_11nxon6w"><a role="button" tabindex="0" class="_1l0xpe7f" href="/donors"><span class="_1wylm4ef"><div class="_xu2jcg">Give them the chance</div></span></a></div></div></div><div id="last-chance-lohp" tabindex="-1" class="_xxirkbi"><h2 class="_1cizif6b">Join Khan Academy today</h2><div class="_1rjln9or"><div class="_90e3qxr"><svg width="769" height="438" viewBox="0 0 769 438" fill="none" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><mask id="last_chance_mask0" mask-type="alpha" maskUnits="userSpaceOnUse" x="7" y="0" width="457" height="353"><path d="M380.139 303.105C404.427 294.932 434.28 219.128 451.508 173.613C453.323 168.817 451.2 163.433 446.609 161.15L237.386 57.1088C236.45 56.6431 235.447 56.3277 234.413 56.1725C217.615 53.6513 172.874 46.7357 115.217 37.2599C40.786 25.0272 46.0614 150.875 43.958 176.436C41.8547 201.997 99.4417 228.965 184.083 274.034C268.725 319.102 354.277 311.808 380.139 303.105Z" fill="#FFF"></path></mask><g mask="url(#last_chance_mask0)"><image href="https://cdn.kastatic.org/images/lohp/last_chance_pattern0.jpg" xlink:href="https://cdn.kastatic.org/images/lohp/last_chance_pattern0.jpg" height="352.5" width="482.5" id="last_chance_image0" x="-6"></image></g><mask id="last_chance_mask1" mask-type="alpha" maskUnits="userSpaceOnUse" x="352" y="20" width="402" height="404"><path d="M737.383 182.064L506.853 95.8527C502.831 94.3486 498.298 95.585 495.597 98.9229L392.553 226.255C391.166 227.969 390.363 230.085 390.428 232.289C391.006 251.98 400.014 293.233 433.279 325.224C477.424 367.68 553.412 362.699 592.966 350.229C622.509 340.915 699.705 250.41 741.721 197.495C745.912 192.217 743.695 184.425 737.383 182.064Z" fill="#FFF"></path></mask><g mask="url(#last_chance_mask1)"><image id="last_chance_image1" width="429.5" height="406.5" x="340" y="16.4736" href="https://cdn.kastatic.org/images/lohp/last_chance_pattern1.jpg" xlink:href="https://cdn.kastatic.org/images/lohp/last_chance_pattern1.jpg"></image></g><g style="mix-blend-mode:multiply"><image id="last_chance_image2" width="219" height="218" x="423" y="220" href="https://cdn.kastatic.org/images/lohp/last_chance_dots.png" xlink:href="https://cdn.kastatic.org/images/lohp/last_chance_dots.png"></image></g></svg></div><div class="_14docu54"><a role="button" tabindex="0" href="/signup" class="_nirxk4k"><span class="_1wylm4ef"><div class="_1qbaeg9v">Learners</div></span></a><a role="button" tabindex="0" href="/signup?isteacher=1" class="_nirxk4k"><span class="_1wylm4ef"><div class="_1qbaeg9v">Teachers</div></span></a><a role="button" tabindex="0" href="/signup?isparent=1" class="_nirxk4k"><span class="_1wylm4ef"><div 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