{"product_id":"mindmap-trigonometrie-kopie-1","title":"Mind Map Quadratic Function","description":"\u003cdiv class=\"flex-1 overflow-hidden\"\u003e\n\u003cdiv class=\"react-scroll-to-bottom--css-zrxok-79elbk h-full\"\u003e\n\u003cdiv class=\"react-scroll-to-bottom--css-zrxok-1n7m0yu\"\u003e\n\u003cdiv class=\"flex flex-col pb-9 text-sm\"\u003e\n\u003cdiv data-testid=\"conversation-turn-7\" class=\"w-full text-token-text-primary\"\u003e\n\u003cdiv class=\"px-4 py-2 justify-center text-base md:gap-6 m-auto\"\u003e\n\u003cdiv class=\"flex flex-1 text-base mx-auto gap-3 md:px-5 lg:px-1 xl:px-5 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem] group final-completion\"\u003e\n\u003cdiv class=\"relative flex w-full flex-col agent-turn\"\u003e\n\u003cdiv class=\"flex-col gap-1 md:gap-3\"\u003e\n\u003cdiv class=\"flex flex-grow flex-col max-w-full\"\u003e\n\u003cdiv data-message-id=\"7acba01d-26cc-4b5e-9bf3-afa1c62264ba\" data-message-author-role=\"assistant\" class=\"min-h-[20px] text-message flex flex-col items-start gap-3 whitespace-pre-wrap break-words [.text-message+\u0026amp;]:mt-5 overflow-x-auto\"\u003e\n\u003cdiv class=\"markdown prose w-full break-words dark:prose-invert light\"\u003e\n\u003ch1 data-end=\"213\" data-start=\"156\"\u003e🟢 Mind Map: Quadratic Function\u003c\/h1\u003e\n\u003cp data-end=\"252\" data-start=\"111\"\u003eThis learning mind map makes the topic of \u003cstrong data-end=\"173\" data-start=\"146\"\u003eQuadratic Functions\u003c\/strong\u003e instantly understandable – structured, visually clear, and brain-friendly.\u003c\/p\u003e\n\u003cp data-end=\"455\" data-start=\"254\"\u003eProperties, roots, solution methods, and application examples are clearly linked.\u003cbr data-end=\"369\" data-start=\"366\"\u003eIdeal for math classes, tests, exams, and sustainable understanding.\u003c\/p\u003e\n\u003chr data-end=\"460\" data-start=\"457\"\u003e\n\u003ch2 data-end=\"502\" data-start=\"462\"\u003e⭐ Why this mind map is so valuable\u003c\/h2\u003e\n\u003cp data-end=\"630\" data-start=\"504\"\u003eQuadratic functions are among the most important fundamentals of algebra – and at the same time, one of the most common stumbling blocks.\u003c\/p\u003e\n\u003cp data-end=\"668\" data-start=\"632\"\u003eThis mind map shows at a glance:\u003c\/p\u003e\n\u003cul data-end=\"847\" data-start=\"670\"\u003e\n\u003cli data-end=\"696\" data-start=\"670\"\u003e\n\u003cp data-end=\"696\" data-start=\"672\"\u003ehow parabolas are formed\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"741\" data-start=\"697\"\u003e\n\u003cp data-end=\"741\" data-start=\"699\"\u003ewhat the parameter \u003cstrong data-end=\"722\" data-start=\"717\"\u003ea\u003c\/strong\u003e really does\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"801\" data-start=\"742\"\u003e\n\u003cp data-end=\"801\" data-start=\"744\"\u003ehow to determine the vertex and roots\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"847\" data-start=\"802\"\u003e\n\u003cp data-end=\"847\" data-start=\"804\"\u003ewhich solution paths lead safely to the goal\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-end=\"959\" data-start=\"849\"\u003eInstead of isolated formulas, an overall picture emerges – clearly structured, visually reduced, and logically constructed.\u003c\/p\u003e\n\u003cp data-end=\"973\" data-start=\"961\"\u003ePerfect for:\u003c\/p\u003e\n\u003cul data-end=\"1106\" data-start=\"975\"\u003e\n\u003cli data-end=\"1004\" data-start=\"975\"\u003e\n\u003cp data-end=\"1004\" data-start=\"977\"\u003eStudents from grade 8 upwards\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1047\" data-start=\"1005\"\u003e\n\u003cp data-end=\"1047\" data-start=\"1007\"\u003eExam preparation \u0026amp; tests\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1074\" data-start=\"1048\"\u003e\n\u003cp data-end=\"1074\" data-start=\"1050\"\u003eTeachers \u0026amp; tutoring\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1106\" data-start=\"1075\"\u003e\n\u003cp data-end=\"1106\" data-start=\"1077\"\u003eIndependent review\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-end=\"1111\" data-start=\"1108\"\u003e\n\u003ch2 data-end=\"1148\" data-start=\"1113\"\u003e💡 What you learn at a glance\u003c\/h2\u003e\n\u003cp data-end=\"1185\" data-start=\"1150\"\u003eThe mind map systematically links:\u003c\/p\u003e\n\u003ch3 data-end=\"1207\" data-start=\"1187\"\u003e🔹 Properties\u003c\/h3\u003e\n\u003cul data-end=\"1333\" data-start=\"1208\"\u003e\n\u003cli data-end=\"1225\" data-start=\"1208\"\u003e\n\u003cp data-end=\"1225\" data-start=\"1210\"\u003eStandard parabola\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1255\" data-start=\"1226\"\u003e\n\u003cp data-end=\"1255\" data-start=\"1228\"\u003eOpening upwards \/ downwards\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1296\" data-start=\"1256\"\u003e\n\u003cp data-end=\"1296\" data-start=\"1258\"\u003eStretching \u0026amp; compressing (a \u003e 1, a \u003c 1)\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1333\" data-start=\"1297\"\u003e\n\u003cp data-end=\"1333\" data-start=\"1299\"\u003eIncreasing \u0026amp; decreasing behavior\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-end=\"1362\" data-start=\"1335\"\u003e🔹 Function Equations\u003c\/h3\u003e\n\u003cul data-end=\"1447\" data-start=\"1363\"\u003e\n\u003cli data-end=\"1404\" data-start=\"1363\"\u003e\n\u003cp data-end=\"1404\" data-start=\"1365\"\u003eGeneral form: \u003cspan class=\"katex\"\u003e\u003cspan class=\"katex-mathml\"\u003e\u003cmath xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"\u003e\u003csemantics\u003e\u003cmrow\u003e\u003cmi\u003ef\u003c\/mi\u003e\u003cmo stretchy=\"false\"\u003e(\u003c\/mo\u003e\u003cmi\u003ex\u003c\/mi\u003e\u003cmo stretchy=\"false\"\u003e)\u003c\/mo\u003e\u003cmo\u003e=\u003c\/mo\u003e\u003cmi\u003ea\u003c\/mi\u003e\u003cmsup\u003e\u003cmi\u003ex\u003c\/mi\u003e\u003cmn\u003e2\u003c\/mn\u003e\u003c\/msup\u003e\u003cmo\u003e+\u003c\/mo\u003e\u003cmi\u003eb\u003c\/mi\u003e\u003cmi\u003ex\u003c\/mi\u003e\u003cmo\u003e+\u003c\/mo\u003e\u003cmi\u003ec\u003c\/mi\u003e\u003c\/mrow\u003e\u003cannotation encoding=\"application\/x-tex\"\u003ef(x)=ax^2+bx^2+c\u003c\/annotation\u003e\u003c\/semantics\u003e\u003c\/math\u003e\u003c\/span\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003ef\u003c\/span\u003e\u003cspan class=\"mopen\"\u003e(\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003ex\u003c\/span\u003e\u003cspan class=\"mclose\"\u003e)\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mrel\"\u003e=\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003ea\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003ex\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e2\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mbin\"\u003e+\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003eb\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003ex\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mbin\"\u003e+\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003ec\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1426\" data-start=\"1405\"\u003e\n\u003cp data-end=\"1426\" data-start=\"1407\"\u003eVertex form\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1447\" data-start=\"1427\"\u003e\n\u003cp data-end=\"1447\" data-start=\"1429\"\u003eFactored form\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-end=\"1467\" data-start=\"1449\"\u003e🔹 Roots\u003c\/h3\u003e\n\u003cul data-end=\"1568\" data-start=\"1468\"\u003e\n\u003cli data-end=\"1489\" data-start=\"1468\"\u003e\n\u003cp data-end=\"1489\" data-start=\"1470\"\u003eDiscriminant (D)\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1522\" data-start=\"1490\"\u003e\n\u003cp data-end=\"1522\" data-start=\"1492\"\u003eone, two, or no solutions\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1568\" data-start=\"1523\"\u003e\n\u003cp data-end=\"1568\" data-start=\"1525\"\u003eRelationship between graph and equation\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-end=\"1593\" data-start=\"1570\"\u003e🔹 Solution Methods\u003c\/h3\u003e\n\u003cul data-end=\"1655\" data-start=\"1594\"\u003e\n\u003cli data-end=\"1607\" data-start=\"1594\"\u003e\n\u003cp data-end=\"1607\" data-start=\"1596\"\u003epq-formula\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1622\" data-start=\"1608\"\u003e\n\u003cp data-end=\"1622\" data-start=\"1610\"\u003eabc-formula\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1638\" data-start=\"1623\"\u003e\n\u003cp data-end=\"1638\" data-start=\"1625\"\u003eFactoring\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1655\" data-start=\"1639\"\u003e\n\u003cp data-end=\"1655\" data-start=\"1641\"\u003eTaking the root\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-end=\"1675\" data-start=\"1657\"\u003e🔹 Applications\u003c\/h3\u003e\n\u003cul data-end=\"1764\" data-start=\"1676\"\u003e\n\u003cli data-end=\"1692\" data-start=\"1676\"\u003e\n\u003cp data-end=\"1692\" data-start=\"1678\"\u003eBridge arches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1707\" data-start=\"1693\"\u003e\n\u003cp data-end=\"1707\" data-start=\"1695\"\u003eTrajectories\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1741\" data-start=\"1708\"\u003e\n\u003cp data-end=\"1741\" data-start=\"1710\"\u003eArea \u0026amp; extremum problems\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"1764\" data-start=\"1742\"\u003e\n\u003cp data-end=\"1764\" data-start=\"1744\"\u003ePhysics (free fall)\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-end=\"1868\" data-start=\"1766\"\u003eEverything is logically connected – ideal for understanding, applying, and long-term retention.\u003c\/p\u003e\n\u003chr data-end=\"1873\" data-start=\"1870\"\u003e\n\u003ch2 data-end=\"1920\" data-start=\"1875\"\u003e📦 Mind Maps in Print and Digital Formats\u003c\/h2\u003e\n\u003cp data-end=\"1969\" data-start=\"1921\"\u003e\u003cstrong data-end=\"1969\" data-start=\"1921\"\u003eReady-made learning mind maps for immediate use\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp data-end=\"2165\" data-start=\"1971\"\u003eOur mind maps are designed to make learning easy, structured, and brain-friendly. They summarize the most important content at a glance and make complex knowledge understandable.\u003c\/p\u003e\n\u003cp data-end=\"2198\" data-start=\"2167\"\u003e\u003cstrong data-end=\"2198\" data-start=\"2167\"\u003eYour selection options:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp data-end=\"2540\" data-start=\"2200\"\u003e📄 Colored PDF – download immediately and use digitally or as a high-quality print version (A3, A4, or A5)\u003cbr data-end=\"2311\" data-start=\"2308\"\u003e⚫ Digital black and white version (PDF) – perfect for printing or design\u003cbr data-end=\"2391\" data-start=\"2388\"\u003e✏️ Fill-in-the-blank mind map (PDF) – ideal for practicing, reviewing, and reinforcing\u003cbr data-end=\"2459\" data-start=\"2456\"\u003e📦 Complete package – colored PDF, black and white template, and fill-in-the-blank mind map together\u003c\/p\u003e\n\u003cp data-end=\"2626\" data-start=\"2542\"\u003e❗ Note: The paper version is only available as a colored print version.\u003c\/p\u003e\n\u003chr data-end=\"2631\" data-start=\"2628\"\u003e\n\u003ch2 data-end=\"2654\" data-start=\"2633\"\u003e📦 What you get\u003c\/h2\u003e\n\u003cul data-end=\"2869\" data-start=\"2656\"\u003e\n\u003cli data-end=\"2712\" data-start=\"2656\"\u003e\n\u003cp data-end=\"2712\" data-start=\"2658\"\u003ehigh-quality learning mind map on quadratic functions\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"2771\" data-start=\"2713\"\u003e\n\u003cp data-end=\"2771\" data-start=\"2715\"\u003eall important connections clearly presented\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"2814\" data-start=\"2772\"\u003e\n\u003cp data-end=\"2814\" data-start=\"2774\"\u003evisual structure instead of a formula collection\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-end=\"2869\" data-start=\"2815\"\u003e\n\u003cp data-end=\"2869\" data-start=\"2817\"\u003eideal for school, tutoring \u0026amp; exam preparation\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Akademie für Lernmethoden","offers":[{"title":"PDF Color Download","offer_id":57059127132543,"sku":"MM-PDF-0546","price":6.0,"currency_code":"EUR","in_stock":true},{"title":"Software Copy Template Download","offer_id":57059127165311,"sku":"MM-SW-0546","price":6.0,"currency_code":"EUR","in_stock":true},{"title":"Gap Mind Map Download","offer_id":57059127198079,"sku":"MM-LÜ-0546","price":6.0,"currency_code":"EUR","in_stock":true},{"title":"PDF color+b\/w+gap as download package - with copy license","offer_id":57059127230847,"sku":"MM-Paket-0546","price":11.0,"currency_code":"EUR","in_stock":true},{"title":"A3 paper size","offer_id":57059127263615,"sku":"MM-A3-0546","price":8.0,"currency_code":"EUR","in_stock":true},{"title":"A4 paper size","offer_id":57059127296383,"sku":"MM-A4-0546","price":7.0,"currency_code":"EUR","in_stock":true},{"title":"A5 paper size 300g","offer_id":57059127329151,"sku":"MM-A5-0546","price":7.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0929\/3404\/6079\/files\/Quadratische-Funktion-Mockup.jpg?v=1772532459","url":"https:\/\/www.mindmaps-shop.de\/en\/products\/mindmap-trigonometrie-kopie-1","provider":"Akademie für Lernmethoden","version":"1.0","type":"link"}