math project

Mathematics

the university of manchester

Question Description

Students are required to prepare and submit a probability and statistical research project by:

 obtaining data to investigate rolling multiple dice

 collecting and analysing data to investigate this as a mathematical problem.

 calculating probabilities and most likely outcomes

 calculating measures of central tendency such as mean, median and mode

 calculating measures of spread such as variance, standard deviation and IQR

 reaching conclusions and predicting trends based on the findings of the investigation.

Data for analysis may be downloaded from websites such as anydice.com or generated using an Excel spreadsheet which

simulates rolling 100 dice rolls.

Students should refer to the Moodle site for additional resources and information.

Each student is required to submit the all following documents:

 A Project Report:

o An electronic copy of the Project Report must be uploaded to Moodle. Students should include graphs and

calculations from a their statistical analysis in the document.

o A MS Word document is preferred.

 A Statistical Analysis Spreadsheet:

o An electronic copy of the Statistical Analysis Spreadsheet must also be uploaded to Moodle.

o A MS Excel document is preferred.

TASK DOCUMENTS (on Moodle): Home ► Assessment ► T2 Project

SUBMISSION METHOD: 6:00pm, Friday, 5 February 2021 Electronic submission through Moodle

Turnitin.

LATE SUBMISSIONS:

Written and spoken assessment tasks submitted or performed after the due

date without an approved extension of time will ordinarily be met with a

penalty of 5% of the awarded score per working day late, up to a

maximum of five working days.

For assessments submitted/performed after five (5) working days, a grade

of 0% may be applied.

Requesting an assignment extension: if a student wishes to apply to an

assignment extension, they need to fill out and submit the

Request an

extension for an assignment

form found in Academic Support in Moodle at

least 24 hours before the due date of their assessment item and provide any

relevant supporting evidence (e.

g

. medical certificate, letter from

parent/homestay, technical issues)

.

Unformatted Attachment Preview

TASK SHEET: MATHEMATICS ASSESSMENT ACTIVITY C - PROJECT August Standard 2020 TASK DETAILS: DUE DATE: 6 PM (Brisbane time), Friday, 05 February 2021 ASSESSMENT TYPE: PROJECT WEIGHTING: 25% RESOURCES REQUIRED: COMPUTER SOFTWARE: MS WORD, MS EXCEL, OR SIMILAR, SNIPPING TOOL. TASK OUTLINE: Students are required to prepare and submit a probability and statistical research project by:       obtaining data to investigate rolling multiple dice collecting and analysing data to investigate this as a mathematical problem. calculating probabilities and most likely outcomes calculating measures of central tendency such as mean, median and mode calculating measures of spread such as variance, standard deviation and IQR reaching conclusions and predicting trends based on the findings of the investigation. Data for analysis may be downloaded from websites such as anydice.com or generated using an Excel spreadsheet which simulates rolling 100 dice rolls. Students should refer to the Moodle site for additional resources and information. Each student is required to submit the all following documents:   A Project Report: o An electronic copy of the Project Report must be uploaded to Moodle. Students should include graphs and calculations from a their statistical analysis in the document. o A MS Word document is preferred. A Statistical Analysis Spreadsheet: o An electronic copy of the Statistical Analysis Spreadsheet must also be uploaded to Moodle. o A MS Excel document is preferred. TASK DOCUMENTS (on Moodle): Home ► Assessment ► T2 Project SUBMISSION METHOD: 6:00pm, Friday, 5 February 2021 Electronic submission through Moodle – Turnitin. Written and spoken assessment tasks submitted or performed after the due date without an approved extension of time will ordinarily be met with a penalty of 5% of the awarded score per working day late, up to a maximum of five working days. LATE SUBMISSIONS: For assessments submitted/performed after five (5) working days, a grade of 0% may be applied. Requesting an assignment extension: if a student wishes to apply to an assignment extension, they need to fill out and submit the “Request an extension for an assignment” form found in Academic Support in Moodle at least 24 hours before the due date of their assessment item and provide any relevant supporting evidence (e.g. medical certificate, letter from parent/homestay, technical issues). STD-MA-AAC-Project-(v1.0 Aug 20)-Task Sheet ASSESSMENT ACTIVITY C – PROJECT MATHEMATICS FAMILY NAME: GIVEN NAME: STUDENT CODE: CLASS NAME: ASSESSOR’S NAME: DATE: PC 2.6 5.1 Relevant part of the activity relating to the criteria. Introduction Above Satisfactory The student clearly identified the parameters of their investigation. AND The student has made a well explained prediction of the outcome. 3 marks The student has correctly calculated the required single probabilities for both roll combinations. 2 marks 2.6 Single Probabilities The student has clearly explained how the probabilities were obtained and how they relate to their initial prediction. 2 marks 5.2 Probability Distributions The student has sourced and included a Probability Distribution for both roll combinations. 2 marks The student has obtained the required experimental data for both roll combinations. 2 marks 5.2 5.6 5.7 Obtaining Experimental Data The student has provided clear and relevant explanation as to how the experimental data was obtained AND summarised. 2 marks The student has included a correct histogram for both roll combinations in their report. 2 marks 1.12 1.13 5.4 5.5 1.12 1.13 5.4 5.5 Calculated Statistics The student has included all the required statistics in their report. 2 marks Statistical Analysis Spreadsheet The student has used relevant and accurate spreadsheet calculations to obtain all the required statistics in their spreadsheet. 2 marks STD-MA-T2C-Project-(v1.1 Aug 20)-Marking Sheet Satisfactory Not Yet Satisfactory The student clearly identified the parameters of their investigation. OR The student has made a well explained prediction of the outcome. The student attempted to outline the parameters of their investigation. OR The student has made a poorly explained prediction of the outcome. 2 marks The student has correctly calculated some single probabilities for both roll combinations. 1 mark The student has explained how the probabilities were obtained. OR How they relate to their initial prediction. 1 mark The student has sourced and included a Probability Distribution for one roll combination. 1 mark The student has obtained some experimental data for at least one roll combination. 1 mark The student has provided some relevant explanation as to how the experimental data was obtained OR summarised. 1 mark The student has included a histogram for at least one roll combination in their report. 1 mark The student has included some of the required statistics in their report. 1 mark The student has used relevant spreadsheet calculations to obtain some of the required statistics in their spreadsheet. 1 mark 1 – 0 marks The student has failed to calculate any single probabilities correctly. 0 marks The student has not explained how the probabilities were obtained or how they relate to their initial prediction. 0 marks The student has not sourced and included a Probability Distribution for either roll combination. 0 marks There is no evidence the student has gathered enough experimental data for either roll combination. 0 marks The student has not provided clear explanation as to how the experimental data was obtained and summarised. 0 marks The student has not included any histograms in their report. 0 marks The student has included none of the required statistics in their report. 0 marks The student has not used appropriate spreadsheet calculations to obtain all of the required statistics in their spreadsheet. 0 marks Page 1 of 2 PC Relevant part of the activity relating to the criteria. Above Satisfactory The student has clearly and correctly used the evidence gathered in the investigation to correctly support or disprove their initial prediction. 2 marks 2.6 5.6 5.7 Conclusion The student has clearly and correctly used the evidence gathered in the investigation to answer the aim of the investigation. 2 marks The student has used the evidence gathered in the investigation to draw relevant conclusions which have led to correct outcome. 2 marks Satisfactory The student has inconsistently used the evidence gathered in the investigation to support or disprove their initial prediction. 1 mark The student has attempted to use the evidence gathered in the investigation to answer the aim of the investigation. 1 mark The student has used the evidence gathered in the investigation to draw some conclusions which have led to an outcome. 1 mark Total Marks Not Yet Satisfactory The student has not attempted to support or disprove their initial prediction. 0 marks The student has not answered the aim of the investigation. 0 marks The student has not identified any relevant conclusions. 0 marks / 25 marks Assessor’s Comments (Strengths/Areas of Improvement) STD-MA-T2C-Project-(v1.1 Aug 20)-Marking Sheet Page 2 of 2 ...
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