// Numbas version: finer_feedback_settings
{"name": "Marlon's copy of Adaptive marking: quadratic equation", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Marlon's copy of Adaptive marking: quadratic equation", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>A quadratic function&nbsp;$f(x)$ goes through the points $(\\var{xs[0]},\\var{ys[0]})$,&nbsp;$(\\var{xs[1]},\\var{ys[1]})$ and&nbsp;$(\\var{xs[2]},\\var{ys[2]})$.</p>\n<p>Find the two roots of $f$. Write the&nbsp;least root first.</p>\n<p>Least root:&nbsp;[[0]]</p>\n<p>Greatest root:&nbsp;[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "a", "minValue": "a", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "1", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "b", "minValue": "b", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "1", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Write&nbsp;a quadratic function $g(x)$ whose roots are the values you entered above, with $x^2$ coefficient $1$.</p>\n<p>$g(x) =&nbsp;$&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [{"variable": "a", "part": "p0g0", "must_go_first": false}, {"variable": "b", "part": "p0g1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(x-{a})(x-{b})", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>What is the midpoint of the two roots of $f$?</p>", "allowFractions": false, "variableReplacements": [{"variable": "roots", "part": "p0", "must_go_first": false}], "maxValue": "mean(roots)", "minValue": "mean(roots)", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "statement": "<p>(This question doesn't make a lot of pedagogic sense, it just shows off how adaptive marking works)</p>", "variable_groups": [{"variables": ["roots", "a", "b", "xs", "ys"], "name": "Quadratic equation"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "roots[0]", "templateType": "anything", "group": "Quadratic equation", "name": "a", "description": "<p>Least root of the quadratic equation</p>"}, "xs": {"definition": "shuffle(-5..5 except [a,b])[0..3]", "templateType": "anything", "group": "Quadratic equation", "name": "xs", "description": "<p>Three given x coordinates</p>"}, "ys": {"definition": "map((x-a)*(x-b),x,xs)", "templateType": "anything", "group": "Quadratic equation", "name": "ys", "description": "<p>y coordinates corresponding to the given x coordinates</p>"}, "b": {"definition": "roots[1]", "templateType": "anything", "group": "Quadratic equation", "name": "b", "description": "<p>Greatest root of the quadratic</p>"}, "roots": {"definition": "sort(shuffle(list(-5..5))[0..2])", "templateType": "anything", "group": "Quadratic equation", "name": "roots", "description": ""}}, "metadata": {"notes": "", "description": "<p data-bind=\"html: 'hi'\">Give the student three points lying on a quadratic, and ask them to find the roots.</p>\n<p data-bind=\"html: 'hi'\">Then ask them to find the equation of the quadratic, using their roots. Error in calculating the roots is carried forward.</p>\n<p data-bind=\"html: 'hi'\">Finally, ask them to find the midpoint of the roots (just for fun). Error is carried forward again.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}]}], "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}