Download Descriptions of past successful projects File

Descriptions of successful projects
What is the minimum amount of aluminium foil needed to wrap a bar of chocolate in
the shape of a Toblerone? (triangular prism)
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Measure the Toblerone bar and calculate the fixed volume assuming the
triangles to be equilateral.
Find equations for area of triangle, volume, length and surface area.
Method 1—Trial and error (this addresses criterion B).
Method 2—Graphing.
Method 3—Calculus.
Complete the study with conclusion and evaluation and discuss how the
assignment could perhaps be improved. Also comment on how the three
methods compare and which is the most accurate.
Relationship between shoe sizes and height
This topic was chosen because the candidate found it interesting how the CSI
determine height from shoe sizes.
• Select men and women of various ages.
• Measure their heights.
• Record their shoe sizes.
• Perform simple mathematics (such as mean, mode, standard deviation).
• Draw bar charts.
• Use the simple mathematics to divide the groups into categories (less than
the mean age and greater than the mean age, for example).
• Perform further mathematical processes such as chi-squared test and
correlation coefficient as appropriate.
• Give a detailed discussion of the results.
• Talk about the validity of the results and the processes used.
What are the mathematical patterns for car premiums?
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Collect information from websites.
Dependent variables— amount of premium.
Controlled variables—age of driver and accident-free years.
Constant—type of car.
Quotes were given for different ages and accident-free years.
Graphs were plotted—age vs premium, accident free years vs premium, and
accident-free years vs age.
Model the above graphs with functions (perhaps obtained using the
regression features of the GDC) if this is possible.
Give a thorough discussion of the results, as well as some comments on the
validity.
The relationship between an elite male tennis player’s height and the percentage of
first serves he gets in
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Obtain the dimensions of tennis court.
Use Pythagoras’ theorem and trigonometry to determine the angle of
depression for the tennis ball served from three different heights and just
passing over the net.
Use the angle of depression to calculate how far from the net each serve will
land.
Create hypotheses about first serves and whether there is a correlation
between height and percentage of first serves in.
Research the statistics on the percentage of first serves at a Grand Slam
Tournament.
Create a table comparing heights with percentage of first serves in.
Calculate means.
Plot data on scatter graph.
Determine type of correlation.
Find r.
Place data in contingency table.
Use chi-squared test for independence (as appropriate).
Present results and have discussion on conclusions.
Comment on the validity of the results and how the experiment could be
improved.