// Numbas version: exam_results_page_options
{"name": "INLEIDING: Twee breuken optellen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "INLEIDING: Twee breuken optellen", "tags": [], "metadata": {"description": "<p>Oefeningen:</p>\n<p>BASIS: Maak een extra \"part\" aan, waar om het product van de twee breuken gevraagd wordt.</p>\n<p>BASIS: Zoek uit waar <code>typische_fout</code> voor dient (bij de variabelen) en hoe die typische fout dan effectief gesignaleerd wordt.</p>\n<p>GEMIDDELD: Zorg dat geen/enkel (jouw keuze) noemers voorkomen die geen gemeenschappelijke deler hebben. (Hint: <code>gcd(a,b)</code> kan een hulp zijn, met <a href=\"https://docs.numbas.org.uk/en/latest/jme-reference.html?highlight=#for:\">een for-loop</a>.)</p>\n<p></p>", "licence": "None specified"}, "statement": "<p>Je hebt twee breuken: \\(\\frac{\\var{a}}{\\var{b}}\\) en \\(\\frac{\\var{c}}{\\var{d}}\\)</p>\n<div id=\"ConnectiveDocSignExtentionInstalled\" data-extension-version=\"1.0.4\"></div>\n<div id=\"simple-translate\" class=\"simple-translate-dark-theme\">\n<div>\n<div style=\"background-image: url('moz-extension://c1096f94-99fe-4825-ae1d-653fe1c5f58b/icons/512.png'); height: 22px; width: 22px; top: 38px; left: 172px;\" class=\"simple-translate-button isShow\"></div>\n<div class=\"simple-translate-panel \" style=\"width: 300px; height: 200px; top: 0px; left: 0px; font-size: 13px;\">\n<div class=\"simple-translate-result-wrapper\" style=\"overflow: hidden;\">\n<div class=\"simple-translate-move\" draggable=\"true\"></div>\n<div class=\"simple-translate-result-contents\">\n<p class=\"simple-translate-result\" dir=\"auto\"></p>\n<p class=\"simple-translate-candidate\" dir=\"auto\"></p>\n</div>\n</div>\n</div>\n</div>\n</div>", "advice": "<p>Om twee breuken op te tellen, gebruiken we de volgende regel:</p>\n<p>\\[\\frac{a}{b} + \\frac{c}{d} = \\frac{ad+bc}{bd}\\]</p>\n<p>In dit specifieke geval, geeft dat dus</p>\n<p>\\[\\frac{\\var{a}}{\\var{b}} + \\frac{\\var{c}}{\\var{d}} =<br/>\\frac{\\var{a}\\times\\var{d}+\\var{b}\\times\\var{c}}{\\var{b}\\times\\var{d}} = <br/>\\frac{\\var{a*d}+\\var{b*c}}{\\var{b*d}} =<br/>\\frac{\\var{a*d+b*c}}{\\var{b*d}}\\]</p>\n<p>De vereenvoudigde breuk is dan \\(\\var[fractionNumbers]{juiste_som}\\).</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(mogelijke_getallen)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(mogelijke_getallen)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(mogelijke_getallen)", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(mogelijke_getallen)", "description": "", "templateType": "anything", "can_override": false}, "juiste_som": {"name": "juiste_som", "group": "Ungrouped variables", "definition": "a/b+c/d", "description": "<p>Merk op: het systeem van NUMBAS berekent zelf de correcte breuk. Ik hoef niets te doen om op gelijke noemer te zetten.</p>", "templateType": "anything", "can_override": false}, "typische_fout": {"name": "typische_fout", "group": "Ungrouped variables", "definition": "(a+c)/(b+d)", "description": "", "templateType": "anything", "can_override": false}, "primes": {"name": "primes", "group": "Indien je priemgetallen wil gebruiken", "definition": "x for: x of: 1..100 where: length(divisors(x))=2", "description": "", "templateType": "anything", "can_override": false}, "mogelijke_getallen": {"name": "mogelijke_getallen", "group": "Ungrouped variables", "definition": "2..10#1", "description": "<p>Getallen van 2 tot 10 (inclusief) in stapjes van 1</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "a<b & c<d", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "d", "juiste_som", "typische_fout", "mogelijke_getallen"], "variable_groups": [{"name": "Indien je priemgetallen wil gebruiken", "variables": ["primes"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Wat is de som van deze twee breuken?</p>", "alternatives": [{"type": "numberentry", "useCustomName": true, "customName": "typische_fout_mogelijkheid", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>Je telde tellers en noemers apart op, maar zo tel je breuken niet op. </p>\n<p>In dat geval zou namelijk $\\frac{1}{2}+\\frac{1}{2}$ gelijk zijn aan $\\frac{1+1}{2+2}=\\frac{2}{4}=\\frac{1}{2}$ dus weer een halfje...</p>", "useAlternativeFeedback": false, "minValue": "{typische_fout}", "maxValue": "{typische_fout}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "minValue": "{juiste_som}", "maxValue": "{juiste_som}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Alexander Holvoet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19859/"}]}]}], "contributors": [{"name": "Alexander Holvoet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19859/"}]}