Mathematics
Order ID 
53563633773 
Type 
Essay 
Writer Level 
Masters 
Style 
APA 
Sources/References 
4 
Perfect Number of Pages to Order 
510 Pages 
Description/Paper Instructions
Mathematics
Conditions 
Duration 
3 weeks in class 
Mode 
Written report 
Length 
Up to 5 pages, not including appendixes 
Individual/ group 
Individual 
Other 
Show all your working out 
Resources available 
The use of technology is required, e.g., excel
· access to the internet and textbooks

Context 
Sports fans love to debate who is the Greatest of All Time (GOAT) in their favourite sport. Whilst this can never be truly decided due to differences in competition through different eras, player statistics can provide plenty of fuel for discussions.

Task 
You are to choose a sport and select five candidates to be awarded the title of GOAT. Write a mathematical report utilising statistics to determine which of your candidates is the GOAT of your chosen sport. 
To complete this task, you must: 
· develop a unique response in the form of a mathematical report
· show all calculations to support your response
· follow the approach to problemsolving and mathematical modelling used in all Mathematics classes.

Subject 
Year 9 Mathematics 
Instrument no. 
5 
Technique 
Problemsolving and modelling task (PSMT) 
Content strand 
Statistics 
Topic 
Construct & compare a range of data displays including stemandleaf plots and dot plots
Calculate mean, median, mode & range for sets of data. Interpret these statistics in context 
Criteria 
Grade 
Fluency and Understanding 

Problem Solving and Reasoning 

Total 



ProblemSolving and Mathematical Modelling Feedback Check Points
Formulate 
Solve 
Evaluate and verify 
Communicate 
Grade 
The student work has the following characteristics: 
· documentation of appropriate assumptions
· accurate documentation of relevant observations
· accurate translation of all simple, complex familiar, and some complex unfamiliar aspects of the problem by identifying and connecting mathematical concepts and techniques to the problem. 
· accurate use of a range of complex procedures to reach a valid solution
· discerning, systematic application of simple and complex mathematical concepts and techniques relevant to the task
· accurate and appropriate use of technology. 
· evaluation of the reasonableness of solutions by considering the results, assumptions and observations
· documentation of relevant strengths and limitations of the solution and/or model
· logical justification of decisions made using mathematical reasoning. 
· correct use of appropriate terminology, conventions, symbols and diagrams to develop the response.
· coherent and concise organisation of the response, appropriate to the genre, including a suitable introduction, body and conclusion. 
A 
· statements of appropriate assumptions with some documentation
· statements of relevant observations with some documentation
· translation of simple and complex familiar aspects of the problem by identifying and connecting mathematical concepts and techniques to the problem. 
· use of complex procedures to reach a reasonable solution
· application of simple and complex mathematical concepts and techniques relevant to the task
· appropriate use of technology. 
· statements about the reasonableness of solutions by considering the context of the task
· statements about relevant strengths and limitations of the solution and/or model
· statements about decisions made, explained through relevance to the context of the task. 
· consistent use of appropriate mathematical terminology, conventions, symbols and diagrams to develop the response
· organisation of the response, including a suitable introduction, body and conclusion. 
B 
· statement of appropriate assumptions
· statement of relevant observations
· translation of simple familiar aspects of the problem by identifying and connecting mathematical concepts and techniques to the problem. 
· use of simple procedures to make some progress towards a solution
· application of simple mathematical concepts and techniques relevant to the task
· use of technology. 
· statement about the reasonableness of solutions
· statement about strengths and/or limitations of the solution and/or model
· statement about decisions made. 
· Satisfactory use of mathematical terminology, conventions, symbols and diagrams to develop the response
· adequate organisation of the response. 
C 
· statement of assumptions
· statement of observations
· translation of some simple aspects of the problem by identifying mathematical concepts and techniques. 
· application of some simple procedures, mathematical concepts or techniques
· superficial use of technology. 
· statement about a decision/strengths and limitations and/or the reasonableness of a solution. 
· Aspects of mathematical terminology, conventions symbols and diagrams to develop a response
· basic organisation and/or incomplete response. 
D 
· statement of an assumption or observation
· translation of an obvious aspect of the problem. 
· partial selection of problem solving approaches
· inappropriate use of technology or procedures. 
· isolated or inappropriate statement about a decision or the reasonableness of a solution. 
· use of everyday language to develop a response
· unclear, disjointed organisation and/or incomplete response. 
E 





Table of Contents
Page
1.0 Introduction .………………………………………………………………………………………….……… 3
2.0 Considerations .………………………………………………………………………………………………… 3
2.1 Observations ……………………………………………………………………………………………………. 3 2.2 Assumptions ………………………………………………………………………….…………………………. 3
3.0 Plan …………………………………………………………….…………………………………… 3
3.1 Subheading …………………………………………………………………………………………………… 3
3.2 Subheading ……………………………………………………………………….……………………….. 4
3.3 Subheading .…………………………………………………………………………………………………… 4
3.4 Subheading ……………………………………………………………………………………………. 4
4.0 Results ……………………………………………………………….………………………………… 5
4.1 Subheading …………………………………………………………………………………………………… 5
4.2 Subheading ……………………………………………………………………….……………………….. 5
4.3 Subheading .…………………………………………………………………………………………………… 5
4.4 Subheading ……………………………………………………………………………………………. 5
5.0 Evaluation ………………………………………………………………………….……………….….…. 5
5.1 Reasonableness …………………………………………….………………………………….……………… 5
5.2 Strengths and Limitations ………………………………………………………….………………….…. 6
6.0 Conclusion ……………………………………………………………………….………………….….…. 6
Appendix …………………………………………………………………………………………………. 6
 Appendix: 1 …………………………………………………………………………………………………… 6
 Appendix: 2 ………………………………………………………………………………………………… 7
 Appendix: 3 ………………………………………………………………………………………….. 8
References ……………………………………………………………………………………………………… 10
Scaffolding for assessment, put these notes into your own document
1.0 Introduction
Background Information
 Outline the topic for this assignment
 Outline the task for this assignment
 Outline the outcome for this assignment
2.0 Considerations
 Document what you will need to know in order to complete this assignment
2.1 Observations
 Document any relevant observations
2.2 Assumptions
 Document (explain) your assumptions
 What are you controlling to be able to solve this problem?
3.0 Plan
Procedure
 What steps do you need to follow to be able to solve this problem?
 Identify appropriate mathematical concepts and techniques
 Identify what technology should be utilised
4.0 Results
 Evidence showing of all your calculations, relevant graphs, and data
 What is my final decision
5.0 Evaluation
Justification of Procedure
 Justify why you used your procedure
 Why did you follow the steps you used and made the decisions you did?
Reasonableness of results
 Discuss if you have solved your research question
 Do your results answer the research question?
 Evaluate the reasonableness of your solution by considering the results
 Do your results make sense, explain why they do or do not?
Evaluate assumptions
 Evaluate the reasonableness of your solution by considering assumptions
 How do your assumptions make your answer reasonable or realistic?
Evaluate strengths and limitations
 Evaluate relevant strengths and limitations of your procedure and solution
 What was good and effective about the process you used to develop your answer?
(Not your own time management, work ethic, etc.)
6.0 Conclusion
 Summarise your entire report.
Appendix
Any extra information that is still helpful for the understanding of your report, but not important enough to put in the main section of your report (extra graphs, charts, results, etc.)
Mathematics
RUBRIC
QUALITY OF RESPONSE 
NO RESPONSE 
POOR / UNSATISFACTORY 
SATISFACTORY 
GOOD 
EXCELLENT 
Content (worth a maximum of 50% of the total points) 
Zero points: Student failed to submit the final paper. 
20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 
30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking. 
40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 
50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. 
Use of Sources (worth a maximum of 20% of the total points). 
Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 
5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6^{th} Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 
10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6^{th} Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 
15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6^{th} Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 
20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6^{th} Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. 
Grammar (worth maximum of 20% of total points) 
Zero points: Student failed to submit the final paper. 
5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 
10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 
15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 
20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. 
Structure of the Paper (worth 10% of total points) 
Zero points: Student failed to submit the final paper. 
3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6^{th} edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6^{th} edition requirements whatsoever. 
5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6^{th} edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 
7 points out of 10: Research paper presents an aboveaverage use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 
10 points: Student provides a highcaliber, formatted paper. This includes an APA 6^{th} edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper. 


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