Presentation on theme: "The Math Studies Project for Internal Assessment"— Presentation transcript:
1 The Math Studies Project for Internal Assessment A good project should be able to be followed by a non-mathematician and be self explanatory all the way through.
2 LengthThe project does not have a word limit. It is the quality of the mathematics and the processes used and described that is important, rather than the number of words written.
3 CommitmentThe project is a substantial piece of work (counts for 20% of the final IB grade)The project should demonstrate a commitment of time and effort by the student
4 Choice of TopicThe choice of topic must give students sufficient scope to demonstrate their mathematical ability.StatisticalChi-Squared test for IndependenceCorrelation/Linear regressionStudent ‘t’ testSpearman’s rank order correlation
5 Choice of Topic Algebraic Modelling Calculus i. Optimization Problems QuadraticExponentialTrigonometricCalculusi Optimization Problemsii Modelling
6 Choice of Topic Number and algebra i Sequences and series ii Linear programmingSets, Logic and Probabilityi Venn diagramsii ProbabilitiesFinancial Mathematics
7 Title page The Project must have a clear title Candidate’s name Candidate’s numberDateSubjectTeacher’s Name
8 Table of contentsPage numbering where each part of the project can be found
9 A: Introduction Task: What is the aim of the project? The task must focus on a distinct objective with a clear hypothesis or directionThe task must be clearly statedPlan: What must be done to achieve this aim?Include as much detail as is necessary to be clearInclude a description of method of data collection including any sampling techniques, this will be useful for validityInclude a description of the mathematical processes to be used and the reason for choosing these processes
10 B: Information / Measurement The information/measurements collected may come from a survey, internet, calculation, etcThe information/measurements must be sufficient in quantityWhen the information/measurements is to be split, as in the chi squared test, more than 50 pieces of data is necessary to avoid small expected values, rendering the test invalid.The information/measurements must be relevantThe information/measurements must be organisedThe information/measurements should be reorganised each time, to suit calculations being done eg. Male, female categoriesIf a questionnaire is used then include this in the projectA questionnaire should be designed to collect multidimensional mathematical dataRaw data must be included to determine the accuracy of calculations
11 C: Mathematical Processes Always include some relevant simple math processesWhat is the mathematical process used? Explanation of mathematical techniqueWhy is this particular procedure useful? Relevance/validity of mathematical techniqueAlways state formulae used and do one calculation by hand. The GDC can be used to perform further similar calculationsAlways check the accuracy of your resultsInterpret results/draw conclusions from the results of the calculations(Standard deviation is often calculated but not used or commented on.)
12 C: Mathematical Processes Apply relevant sophisticated processes as thoroughly as for simple process.Interpret results/draw conclusions from the results of the calculationsComment on validity of resultsCheck the accuracy of the resultsFor Chi-squared tests to be valid:Frequencies must be used, not raw data or percentagesNo more than 20% of the expected cells should have a number less than 5No expected cells should have a number less than 1For Linear correlationThere is no point in finding the correlation coefficient or regression line if the scatter graph shows that there is no correlation
13 D: Interpretation of results Always give a thorough and detailed analysis and discussion of results
14 E: Validity Validity of mathematical processes used Validity of results obtained from these processes
15 F: Structure and Communication The project should include the discussion in the body of the workAppropriate mathematical language should always be usedThe project should be presented correctly and in a systematic manner.All sources should be acknowledgedInclude website addresses in bibliographyInclude raw data in body of document or in appendix
16 Conclusion Did the data and calculations support your task? Discuss limitations in its applicability within the project.Scope for improvement /extension of the project
17 Bibliography State websites Footnotes as necessary Other sources of information
18 AppendicesRaw data collected can be placed here
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