// Numbas version: finer_feedback_settings
{"name": "Centroid of parts", "extensions": ["geogebra", "sheets", "quantities"], "custom_part_types": [{"source": {"pk": 242, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/242/edit"}, "name": "Spreadsheet", "short_name": "spreadsheet", "description": "<p>An editable spreadsheet. Ranges of cells can be disabled, and you can specify ranges of cells to be marked. A cell is marked correct if its value is equal to the value in the expected answer spreadsheet.</p>", "help_url": "", "input_widget": "spread-sheet", "input_options": {"correctAnswer": "settings[\"correct_answer\"]", "hint": {"static": true, "value": ""}, "initial_sheet": {"static": false, "value": "disable_cells(settings[\"initial_sheet\"], settings[\"disable_ranges\"])"}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nif(sum(mark_ranges)=0,\n  incorrect(),\n  apply(mark_ranges)\n)\n\ninterpreted_answer:\nstudentAnswer\n\nrange_cells:\nmap(parse_range(ref),ref,values(settings[\"mark_ranges\"]))\n\ntotal_cells:\nlen(flatten(range_cells))\n\nrange_weights:\nswitch(\n  settings[\"marking_method\"]=\"per_cell\",\n    map(len(r)/total_cells, r, range_cells),\n  // otherwise, mark per range\n    repeat(1/len(range_cells), len(range_cells))\n)\n\nmark_ranges:\nmap(\n  let(\n    range_credit,\n      sum(map(\n        let(\n          correctCellString, correctAnswer[c],\n          correctCellNumber, parsenumber(correctCellString, notation_styles),\n          studentCellString, studentAnswer[c],\n          studentCellNumber, parsenumber(studentCellString, notation_styles),\n          award(\n            1/len(cells), \n            switch(\n              correctCellString=\"\",\n                isnan(studentCellNumber) or studentCellString=\"\",\n              isnan(correctCellNumber),\n                lower(correctCellString) = lower(studentCellString)\n              ,\n                abs(studentCellNumber - if(isnan(correctCellNumber),0,correctCellNumber)) <= settings[\"tolerance\"]\n            )\n          )\n        ),\n        c,\n        cells\n      )),\n    message,\n      switch(\n        range_credit=0,\n          if(len(cells)=1, \"This entry is incorrect.\", \"All entries in this range are incorrect.\"),\n        range_credit=1,\n          if(len(cells)=1, \"This entry is correct.\", \"All entries in this range are correct.\"),\n        //otherwise\n          \"Some entries in this range are correct.\"\n      ),\n    assert(len(cells)=0, add_credit(range_credit*w, \"<strong>{name}:</strong> \"+message)); \n    range_credit\n  ),\n  [cells,w,name],\n  zip(range_cells, range_weights, keys(settings[\"mark_ranges\"]))\n)\n\nnotation_styles:\n[\"plain\",\"si-en\"]\n\ncorrectAnswer:\nsettings[\"correct_answer\"]", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "if(sum(mark_ranges)=0,\n  incorrect(),\n  apply(mark_ranges)\n)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "studentAnswer"}, {"name": "range_cells", "description": "<p>For each range to be marked, the addresses of the cells in that range.</p>", "definition": "map(parse_range(ref),ref,values(settings[\"mark_ranges\"]))"}, {"name": "total_cells", "description": "<p>The total number of cells to be marked. Cells in overlapping ranges will be counted once for each range they're in.</p>", "definition": "len(flatten(range_cells))"}, {"name": "range_weights", "description": "<p>The weight of each range, as a proportion of the available credit.</p>", "definition": "switch(\n  settings[\"marking_method\"]=\"per_cell\",\n    map(len(r)/total_cells, r, range_cells),\n  // otherwise, mark per range\n    repeat(1/len(range_cells), len(range_cells))\n)"}, {"name": "mark_ranges", "description": "<p>Mark each of the ranges specified by the question author.</p>", "definition": "map(\n  let(\n    range_credit,\n      sum(map(\n        let(\n          correctCellString, correctAnswer[c],\n          correctCellNumber, parsenumber(correctCellString, notation_styles),\n          studentCellString, studentAnswer[c],\n          studentCellNumber, parsenumber(studentCellString, notation_styles),\n          award(\n            1/len(cells), \n            switch(\n              correctCellString=\"\",\n                isnan(studentCellNumber) or studentCellString=\"\",\n              isnan(correctCellNumber),\n                lower(correctCellString) = lower(studentCellString)\n              ,\n                abs(studentCellNumber - if(isnan(correctCellNumber),0,correctCellNumber)) <= settings[\"tolerance\"]\n            )\n          )\n        ),\n        c,\n        cells\n      )),\n    message,\n      switch(\n        range_credit=0,\n          if(len(cells)=1, \"This entry is incorrect.\", \"All entries in this range are incorrect.\"),\n        range_credit=1,\n          if(len(cells)=1, \"This entry is correct.\", \"All entries in this range are correct.\"),\n        //otherwise\n          \"Some entries in this range are correct.\"\n      ),\n    assert(len(cells)=0, add_credit(range_credit*w, \"<strong>{name}:</strong> \"+message)); \n    range_credit\n  ),\n  [cells,w,name],\n  zip(range_cells, range_weights, keys(settings[\"mark_ranges\"]))\n)"}, {"name": "notation_styles", "description": "<p>Accepted number notation styles for a value in an individual cell.</p>", "definition": "[\"plain\",\"si-en\"]"}, {"name": "correctAnswer", "description": "", "definition": "settings[\"correct_answer\"]"}], "settings": [{"name": "initial_sheet", "label": "Initial sheet", "help_url": "", "hint": "A <code>spreadsheet</code> object giving the initial state of the sheet that the student should fill in.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "correct_answer", "label": "Correct answer", "help_url": "", "hint": "A <code>spreadsheet</code> object representing a correct answer to the part.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "disable_ranges", "label": "Ranges to disable", "help_url": "", "hint": "A list of cell or range references, denoting the cells that should not be editable.", "input_type": "code", "default_value": "[]", "evaluate": true}, {"name": "mark_ranges", "label": "Ranges to mark", "help_url": "", "hint": "A dictionary of cell or range references, mapping names to ranges of cells, denoting the cells that should be compared for equality with the expected answer.", "input_type": "code", "default_value": "dict()", "evaluate": true}, {"name": "marking_method", "label": "Marking method", "help_url": "", "hint": "", "input_type": "dropdown", "default_value": "per_cell", "choices": [{"value": "per_cell", "label": "Each cell has the same weight"}, {"value": "per_range", "label": "Each range has the same weight"}]}, {"name": "tolerance", "label": "Allowed margin of error", "help_url": "", "hint": "", "input_type": "code", "default_value": "0", "evaluate": true}], "public_availability": "always", "published": true, "extensions": ["sheets"]}], "resources": [["question-resources/centroids.png", "centroids.png"], ["question-resources/centroids_3A0rXlj.png", "centroids_3A0rXlj.png"], ["question-resources/centroids_zSOgoBb.png", "centroids_zSOgoBb.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Centroid of parts", "tags": [], "metadata": {"description": "<p>Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>Fill the table with the coordinates of the centroids of the three shapes. &nbsp;Grid units are $[\\var{units}]$.</p>\n<p>{applet}</p>\n<p><span data-jme-visible=\"debug\">{answer_table}</span></p>", "advice": "<p>For a rectangle, the centroid is at the geometric center.</p>\n<p>For a right triangle, divide the base and height into thirds. &nbsp;The centroid is located at the intersection point nearest to the right angle.</p>\n<p>For a semicircle, the centroid is located on the axis of symmetry, a distance of $\\frac{4r}{3\\pi}$ from the straight edge.</p>\n<p></p>\n<p><img src=\"resources/question-resources/centroids_zSOgoBb.png\" width=\"778\" height=\"250\"/></p>", "rulesets": {}, "extensions": ["geogebra", "quantities", "sheets"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"CC": {"name": "CC", "group": "Ungrouped variables", "definition": "C1 + (C2-C1) 4 / 3 / 3.14159", "description": "", "templateType": "anything", "can_override": false}, "C2": {"name": "C2", "group": "inputs", "definition": "random(\n  vector(C1[0],c1[1]+random(-6..6)),\n  vector(C1[0]+random(-6..6),C1[1]))\n  \n  \n  \n  ", "description": "", "templateType": "anything", "can_override": false}, "TC": {"name": "TC", "group": "Ungrouped variables", "definition": "T1 + (T2-T1)/3", "description": "", "templateType": "anything", "can_override": false}, "T1": {"name": "T1", "group": "inputs", "definition": "vector(random(-10..10),random(-8..8))", "description": "", "templateType": "anything", "can_override": false}, "T2": {"name": "T2", "group": "inputs", "definition": "vector(random(-10..10),random(-8..8))", "description": "", "templateType": "anything", "can_override": false}, "C1": {"name": "C1", "group": "inputs", "definition": "vector(random(-10..10),random(-8..8))\n", "description": "", "templateType": "anything", "can_override": false}, "debug": {"name": "debug", "group": "Ungrouped variables", "definition": "false", "description": "", "templateType": "anything", "can_override": false}, "R1": {"name": "R1", "group": "inputs", "definition": "vector(random(-10..10),random(-8..8))", "description": "", "templateType": "anything", "can_override": false}, "R2": {"name": "R2", "group": "inputs", "definition": "vector(random(-10..10),random(-8..8))", "description": "", "templateType": "anything", "can_override": false}, "units": {"name": "units", "group": "Ungrouped variables", "definition": "random('in','cm','mm','ft')", "description": "", "templateType": "anything", "can_override": false}, "RC": {"name": "RC", "group": "Ungrouped variables", "definition": "R1 + (R2-R1)/2", "description": "", "templateType": "anything", "can_override": false}, "centroid_table": {"name": "centroid_table", "group": "Ungrouped variables", "definition": "spreadsheet_from_base64_file(safe(\"centroid_table-2.xlsx\"), 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