Student Name:IA WRITING GUIDE Date(by 0800hrs)TaskCommentWed 15 Sep● Title selection● Make sure you have access torelevant data● ‘Google’ title to ensure there isacademic writing on this topic.Mon 27 Sep● Data gathered● Simpler maths techniquescompleted● Office hours available30 Sep – 6 Oct● IA writing week● Plan to come to all office hours inthis period.Thu 7 Oct● Complete draftSubmit on managebacMon 15 Nov● Final exploration submittedSubmit on managebac. 1PROJECT GUIDANCEGeneral20% of your IB Maths studies mark. 12-20 pages.Read Ch14 in your textbook. Assess your own work before submitting.● Your project should read well and look professional. A friend should be able to read the project withoutany prior knowledge about the subject or maths. You can ask one of your relatives to check it or yourtutor.● Font. Times New Roman or Arial. Size 11 or 12. Line spacing 1.5. Justified left alignment.● Write in Microsoft word using equation editor and use Microsoft excel for calculations. See Annex A forhelp.● Pages numbered, tables labelled, graphs labelled. Use page breaks.● Footnotes used as appropriate.● Use appendices for raw data if you have a lot of data.● Bibliography, including websites where you got all your data.ANNEX A: Microsoft word and excel tips2EXPLORATION TEMPLATE:FRONT PAGE3Introduction1. The project has an introduction which:a. Introduces the idea and your personal interest in it.b. Gives a clear statement of the specific task (i.e. what you are interested in determining).c. Provides a clear description of the plan, including in general the mathematical processes youwill use. You must follow the plan, best to write the plan up at the end of the project.2. A clear and concise statement of the aim of the exploration. (The aim needs to be met).Method ParagraphThis should be an outline of how you will conduct the project, normally write this at the end of the project. Itshould guide the reader through what to expect.1. Data gathering techniques and sources.2. Mathematics techniques to be employed. State exactly what you are going to do and why.Irrelevant maths techniques would be penalised. Make sure the order matches the project.Data CollectionYou will be collecting data no matter what your topic is: Statistics, Modelling or Voronoi. (Check your datawith teacher before proceeding).1. Statistics: Ensure you have enough data whether searching for primary or secondary data:a. Correlation: Needs a minimum of 50 data pointsb. Survey: Ensure teacher checks first. Questions need to be good and the survey needs torun for long enough to get responses.2. Modelling: Modelling of quadratics, cubics, exponentials and other functions. [See student project].Find the source on the internet and ensure you have enough data points for modelling onDESMOS/Geogebra or even a dynamic model on loggerpro (for physics students).3. Voronoi: [See student project]. Types of areas you might be dividing.a. Allocation of space. Sea, air, landb. Largest empty space. Siting new school, vaccination centre, helicopter landing site etcc. You will likely to be gathering statistical data as well as doing the Voronoi process.How to get marks:● Describe clearly how you have gathered the information / measurements.● If using gapminder or other internet data sources you need to interrogate it to see where the dataoriginally comes from. Note this in your data section and bibliography.4Mathematical processesThis is the main body of your IA and should be done before writing up the project.These are suggestions of processes, not all need to be done. Indeed, some might be irrelevant to yourproject.Statistics:1. Bivariate data, numerical.a. Finding the mean, median, modeb. Range, Box & Whisker, Inter-quartile range in a set of data, Cumulative Frequencyc. Standard deviationd. Bar charts & pie chartse. Scatter graphf. Finding the value of r (Pearson’s product-moment correlation coefficient)g. Finding the value of rs (Spearmans rank correlation). If relevant.h. Finding the equation of the line of best fit (if r value more than 0.6)2. Univariate data, categorical.a. Finding the mean, median, modeb. Range, Box & Whisker, Inter-quartile range in a set of data, Cumulative Frequencyc. Standard deviationd. Bar charts & pie chartse. Performing a Chi-squared test (with Yates’ Continuity Correction for 2 x 2 cases)Modelling:1. Using technology to fit model. DESMOS/Geogebra/Loggerpro/TI Nspire.2. If a linear or quadratic model – confirm mathematics by hand. Cubic also possible to do by hand…3. As per class project, take it further and think of other mathematics that can be involved such as thedesign of a bridge or the movement of a project. You can also include statistics.Voronoi:1. Using DESMOS plot the points and the command Delauney can be used to draw the Voronoi.2. As per the class project, try and confirm as many calculations as possible by hand.3. For more mathematics statistics can also be gathered and some of the stats techniques aboveused.How to get marks:● Technology should be used to full advantage. But – you must explain the techniques and confirmsome of them by hand to demonstrate your understanding.● All graphs and tables must contain all relevant information. Axis labels, scales etc.● You should interpret the results regularly, a table to summarise results can be useful.● Try to explain reasons behind your results.56ConclusionThis conclusion summarizes the main findings of your results.● Discuss how reliable were your sources / data. How confident are you in your results. Perhaps youcan suggest how it could be improved.● Discusses the usefulness of your results and their implications in other areas. If relevant discussionof further work that could be done.BIBLIOGRAHPY7ANNEX A: COMPUTER TIPSEntering Equations – Mac word docSelect document elements, then math equation (see arrow below)Excel Common Formulas Subtraction=SUM(C2-C53)Addition=SUM(C2+C53)Multiply=PRODUCT(E2,F2)Divide (by 50)=H53/50Mean=AVERAGE(C2:C50)Median=Median(C2:C50)Min, Max values=Min( ) or =Max( )Lower Quartile=QUARTILE(B4:B11,1) **Upper Quartile=QUARTILE(B4:B11,3)Standard Deviation=STDEVP(C2:C50)Correlation (r value)=CORREL(C2:C50,D2:D50) 8
