ms internal assessment power point

8/2/2019 MS Internal Assessment Power Point

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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.


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Length

The project does not have a word limit. It is thequality of the mathematics and theprocessesused and described that is important, rather

than the number of words written.


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Commitment

The project is a substantial piece of work (20hours class time plus several more hours outsidethe class)

The project should demonstrate a commitmentof time and effort by the student


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Choice of Topic

The choice of topic must give studentssufficient scope to demonstrate theirmathematical ability.

Statistical

Chi-Squared test for Independence

Correlation/Linear regression

Student t test

Spearmans rank order correlation


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Choice of Topic

Algebraic Modelling

Quadratic

Exponential

Trigonometric

Calculus

i. Optimization Problems ii. Modelling


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Choice of Topic

Number and algebra

i Sequences and series

ii Linear programming Sets, Logic and Probability

i Venn diagrams

ii Probabilities Financial Mathematics


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Title page

The Project must have a clear title

Candidates name

Candidates number Date

Subject

Teachers Name


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Table of contents

Page numberring where each part of the projectcan be found


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A: Introduction

Task: What is the aim of the project? The task must focus on a distinct objective with a clear

hypothesis or direction The task must be clearly stated Plan: What must be done to achieve this aim? Include as much detail as is necessary to be clear Include a description of method of data collection

including any sampling techniques, this will be usefulfor validity

Include a description of the mathematical processes tobe used and the reason for choosing these processes


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B: Information / Measurement The information/measurements collected may come from a

survey, internet, calculation, etc The information/measurements must be sufficient in quantity When the information/measurements is to be split, as in the chi

squared test, more than 50 pieces of data is necessary to avoidsmall expected values, rendering the test invalid.

The information/measurements must be relevant The information/measurements must be organised The information/measurements should be reorganised each

time, to suit calculations being done eg. Male, female categories

If a questionnaire is used then include this in the project A questionnaire should be designed to collect multidimensional

mathematical data Raw data must be included to determine the accuracy of

calculations


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C: Mathematical Processes

Always include some relevantsimple math processes What is the mathematical process used? Explanation of

mathematical technique Why is this particular procedure useful? Relevance/validity of

mathematical technique Always state formulae used and do one calculation by hand.

The GDC can be used to perform further similar calculations Always check the accuracy of your results Interpret results/draw conclusions from the results of the

calculations (Standard deviation is often calculated but not used or

commented on.)


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C: Mathematical Processes

Applyrelevant sophisticated processes as thoroughly as forsimple process. Interpret results/draw conclusions from the results of the

calculations Comment on validity of results

Check the accuracy of the results For Chi-squared tests to be valid:

Frequencies must be used, not raw data or percentages No more than 20% of the expected cells should have a

number less than 5 No expected cells should have a number less than 1

For Linear correlation There is no point in finding the correlation coefficient or

regression line if the scatter graph shows that there is no

correlation


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D: Interpretation of results

Always give a thorough and detailed analysis anddiscussion of results


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E: Validity

Validity of mathematical processes used

Validity of results obtained from these processes


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F: Structure and Communication

The project should include the discussion in thebody of the work

Appropriate mathematical language should

always be usedThe project should be presented correctly and in

a systematic manner.

All sources should be acknowledged Include website addresses in bibliography Include raw data in body of document or in

appendix


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Conclusion

Did the data and calculations support your task?

Discuss limitations in its applicability within theproject.

Scope for improvement /extension of theproject


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Bibliography

State websites

Footnotes as necessary

Other sources of information


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Appendices

Raw data collected can be placed here

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