// Numbas version: exam_results_page_options
{"name": "PreCal Identify key characteristics of an ellipse from a graph", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"vertexRight": {"name": "vertexRight", "templateType": "anything", "definition": "vector(C[0]+a,C[1])", "description": "", "group": "Ungrouped variables"}, "vertexTop": {"name": "vertexTop", "templateType": "anything", "definition": "vector(C[0],C[1]+b)", "description": "", "group": "Ungrouped variables"}, "eccentricity": {"name": "eccentricity", "templateType": "anything", "definition": "[cFoci[orient]/b,cFoci[orient]/a]", "description": "", "group": "Ungrouped variables"}, "C": {"name": "C", "templateType": "anything", "definition": "vector(random(-5..5),random(-5..5))", "description": "", "group": "Ungrouped variables"}, "vertexLeft": {"name": "vertexLeft", "templateType": "anything", "definition": "vector(C[0]-a,C[1])", "description": "", "group": "Ungrouped variables"}, "foci2": {"name": "foci2", "templateType": "anything", "definition": "[vector(C[0],C[1]+cFoci[orient]),vector(C[0]+cFoci[orient],C[1])]", "description": "<p>fo</p>", "group": "Ungrouped variables"}, "a": {"name": "a", "templateType": "anything", "definition": "random(2..9)", "description": "", "group": "Ungrouped variables"}, "signOrient": {"name": "signOrient", "templateType": "anything", "definition": "sign(a-b)", "description": "", "group": "Ungrouped variables"}, "foci1": {"name": "foci1", "templateType": "anything", "definition": "[vector(C[0],C[1]-cFoci[orient]),vector(C[0]-cFoci[orient],C[1])]", "description": "", "group": "Ungrouped variables"}, "vertexBottom": {"name": "vertexBottom", "templateType": "anything", "definition": "vector(C[0],C[1]-b)", "description": "", "group": "Ungrouped variables"}, "cFoci": {"name": "cFoci", "templateType": "anything", "definition": "[sqrt(b^2-a^2),sqrt(a^2-b^2)]", "description": "", "group": "Ungrouped variables"}, "b": {"name": "b", "templateType": "anything", "definition": "random(2..9 except a)", "description": "", "group": "Ungrouped variables"}, "orient": {"name": "orient", "templateType": "anything", "definition": "(1+signOrient)/2", "description": "", "group": "Ungrouped variables"}}, "tags": [], "advice": "", "extensions": ["geogebra"], "functions": {}, "ungrouped_variables": ["C", "a", "b", "cFoci", "signOrient", "orient", "foci2", "foci1", "vertexTop", "vertexBottom", "vertexLeft", "vertexRight", "eccentricity"], "variable_groups": [], "rulesets": {}, "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "name": "PreCal Identify key characteristics of an ellipse from a graph", "parts": [{"customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{C}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "prompt": "<p>Identify the center of the ellipse.&nbsp;&nbsp;<em><strong>Enter your answer as: vector(x,y)</strong></em></p>", "checkingType": "absdiff", "failureRate": 1}, {"type": "gapfill", "adaptiveMarkingPenalty": 0, "customName": "", "marks": 0, "sortAnswers": false, "useCustomName": false, "scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>Identify the vertices of the given ellipse:</p>\n<p>Left Vertex: [[0]]</p>\n<p>Right Vertex: [[1]]</p>\n<p>Bottom Vertex: [[2]]</p>\n<p>Top Vertex: [[3]]</p>", "variableReplacementStrategy": "originalfirst", "gaps": [{"customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{vertexLeft}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "absdiff", "failureRate": 1}, {"customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{vertexRight}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "absdiff", "failureRate": 1}, {"customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{vertexBottom}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "absdiff", "failureRate": 1}, {"customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{vertexTop}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "absdiff", "failureRate": 1}], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}, {"type": "gapfill", "adaptiveMarkingPenalty": 0, "customName": "", "marks": 0, "sortAnswers": false, "useCustomName": false, "scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>Identify the focii of the ellipse:&nbsp;<em><strong>Enter values to 3 decimal places</strong></em></p>\n<p>Left/Bottom Foci: [[0]]</p>\n<p>Right/Top Foci:&nbsp; [[1]]</p>", "variableReplacementStrategy": "originalfirst", "gaps": [{"customName": "", "marks": 1, "checkingAccuracy": 3, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{foci1[orient]}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "dp", "failureRate": 1}, {"customName": "", "marks": 1, "checkingAccuracy": 3, "customMarkingAlgorithm": "", "scripts": {}, "vsetRangePoints": 5, "useCustomName": false, "vsetRange": [0, 1], "valuegenerators": [], "checkVariableNames": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "jme", "answer": "{foci2[orient]}", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "unitTests": [], "variableReplacements": [], "showPreview": true, "checkingType": "dp", "failureRate": 1}], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}, {"type": "gapfill", "adaptiveMarkingPenalty": 0, "customName": "", "marks": 0, "sortAnswers": false, "useCustomName": false, "scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>What is the eccentricity of this ellipse? [[0]]</p>", "variableReplacementStrategy": "originalfirst", "gaps": [{"correctAnswerStyle": "plain", "customName": "", "showPrecisionHint": true, "marks": 1, "mustBeReduced": false, "precisionPartialCredit": "75", "allowFractions": false, "customMarkingAlgorithm": "", "scripts": {}, "useCustomName": false, "mustBeReducedPC": 0, "maxValue": "eccentricity[orient]", "strictPrecision": true, "minValue": "eccentricity[orient]", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "adaptiveMarkingPenalty": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "unitTests": [], "precision": "2", "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "precisionType": "dp", "notationStyles": ["plain", "en", "si-en"]}], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International", "description": ""}, "statement": "<p>GIVEN:&nbsp; The ellipse shown below.</p>\n<p>{geogebra_applet('https://www.geogebra.org/m/watryunh',[ ['a',a], ['b',b], ['C',C] ])}</p>", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}