ࡱ>  ;+bjbj pZ"S 77$P,KLzzzdLfLfLfLfLfLfL$NwQjLzX"zzzL77yLz7RdLzdL(I0",L-fXJ$PLL0L|JQrQH,LQ,L$zzzzzzzLLzzzLzzzzQzzzzzzzzz : Title: Using data cards and describing displays Achievement Objectives: S4-1 Plan and conduct investigations using the statistical enquiry cycle: S4-1B Gathering, sorting and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationship and trends S4-1D Communicating findings, using appropriate displays Key Competencies: Thinking: Investigating Predicting / envisioning outcomes Analyse Make connections Interpret Using Language, Symbols and Texts: Explore different representations Interpret visual representations such as graphs, diagrams Communicate findings Participating and Contributing: Contribute to a culture of inquiry and learning This activity explores the following key ideas: Making displays using data cards Writing descriptions of displays for category data Writing descriptions of displays for measurement data Resources Data cards made ready for copying Year 8 year8posing.xls Year 9 year9posing.xls Prior Knowledge: Posing investigative questions initial look at making displays using data cards initial description of displays formalising what makes a good investigative question for summary situations Adapting for ICTIntroduction/Background This activity leads on from the posing investigative questions activity. Students will need to be familiar with the background information to the data set. This may involve looking at the variables in the dataset, looking at how the data was collected and measured, looking at the survey question that was asked to get the data. In this activity students will be exploring the given data cards in response to investigative questions they have posed. In some instances students might organise the data cards and then pose their investigative question once they have found something of interest in their data cards (EDA- exploratory data analysis). This activity will also allow students to develop the language of description for summary situations. Problem Using previously posed summary investigative questions OR get students to pose summary investigative questions. Collate some on the board, for each one go through the checklist that was developed in the posing investigative questions activity, getting students to critique the investigative question. What makes a good summary investigative question? (Poster at end enlarge to A3) check that the variable that is being investigated is clear eg heights, fitness level etc check that the investigative question is general in format and allows for analysis to be made of the whole group not just an individual eg what are typical heights... check that the group that is being investigated is clear eg year 9 students in 9BA, this group of year 8 students check that the investigative question is able to be answered with the data you have eg there is enough data and the variable being investigated is in the data set is the investigative question worth investigating, that is, will the information obtained be useful to someone eg kiwi bird typical weights may be of use to DOC staff or other conservation groups Examples of investigative questions for these data cards. I wonder what are typical heights (or other measurement variable) for the year 9 students in this group? I wonder what is the fitness level breakdown of the year 9 students in this group? I wonder what are typical ways that the year 9 students in this group get to school? I wonder what sorts of superpowers the year 9 students in the group would like to be? Analysis  Initially take the same question for each group, try to do one categorical question eg mode of transport to school and one measurement question eg right foot length. Get students to write the question in their book. Make a display using the data cards. Conversation to have: Category data eg mode of transport to school I wonder what are typical ways that the year 9 students in this group get to school? What are the values that the variable can take? How might we sort the data? Does it matter with categorical data? What if we wanted to compare across groups in the class, would it matter then? Measurement data eg right foot length I wonder what are typical right foot lengths for the year 9 students in this group? What is the unit that foot lengths were measured in? What values do we expect to get? Think about the class data, what was the shortest in the class, longest in the class? What might be the shortest they expect? The longest they expect? Refer to the shoe conversion chart further on. Gives ideas for shoe measures that maybe useful in deciding which data to use and which data not to use. What to do with data we decide not to use. How might we order the data? For measurement data we always have the values of the variable in order. Make the displays (see below for examples) Write descriptions about the displays in their book. Use I notice as a starter. Conversation to have before they start: What can we write about our displays? Brainstorm ideas. Most common category or value Least common category (or values) Values with no responses The data ranges from X to Y for measurement data Shape of the measurement data Spread of the measurement data Students to write down what they notice - immediately then notice about - shape (hills, bumps, skew, symmetrical, bimodal) - middle group (modal clump) - high/low range describe the range rather than give the value - density (crowded, empty, piled up, clumped, busy) - spread (spread out, close together) - unusual/values of special interest (outliers, gaps, clumps) Konold & Higgins (2003) Bakker and Gravemeijer (2004) Using these and other ideas build up a list of possible things that could be described from summary graphs.   19 20 21 22 23 24 25 26 27 28 29 Bik Bus Mot Tra Walk Right foot length Mode of transport I notice that the right foot length with the most people was 25 cm. I notice that the right foot lengths range from 19 cm to 29 cm. I notice that there are some right foot lengths in this group of students that noone had. I notice that the right foot length values for this group of year 9 students have a peak at 25 cm, with 13 students right foot less than 25 cm in length and 8 students right foot lengths greater than 25 cm. Nearly all of the students have a right foot length between 21 and 26 cm. Conclusion In the conclusion we need to answer the investigative question posed. This answer should be supported with evidence from the analysis. Further questions or suggestion can be given at this point.Reflection What is category data? What is measurement data? How are they different?To extend this activity Problem What makes a good summary investigative question? check that the variable that is being investigated is clear eg heights, fitness level etc check that the investigative question is general in format and allows for analysis to be made of the whole group not just an individual eg what are typical heights... check that the group that is being investigated is clear eg year 9 students in 9BA, this group of year 8 students check that the investigative question is able to be answered with the data you have eg is there enough data and is the variable being investigated in the data set is the investigative question worth investigating, that is, will the information obtained be useful to someone eg kiwi bird typical weights may be of use to DOC staff  Information on shoe sizes (from http://www.dancesport.uk.com/shoes/conchart.htm) Ladies shoe sizes British 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 European 34 35 35.5 36 37 37.5 38 38.5 39 39.5 40 41 42 American 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 Japanese (cm) 21.5 22 22.5 23 23 23.5 24 24 24.5 25 25.5 26 26.5 Mens shoe sizes British 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 European 38 38.7 39.3 40 40.5 41 42 42.5 43 44 44.5 45 46 46.5 47 American 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 Japanese (cm) 23.5 24 24.5 25 25.5 26 26.5 27 27.5 28 28.5 29 29.5 30 30.5 Girls shoe sizes British 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 1 1.5 2 2.5 European 26 26.5 27 27.5 28 28.5 29 30 30.5 31 31.5 32.2 33 33.5 34 35 American 8.5 9 9.5 10 10.5 11 11.5 12 13.5 13 13.5 1 1.5 2 2.5 3 Japanese (cm) 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 20.5 21 21.5 22 Boys shoe sizes British 11 11.5 12 12.5 13 13.5 1 1.5 2 2.5 3 3.5 4 4.5 European 29 29.7 30.5 31 31.5 33 33.5 34 34.7 35 35.5 36 37 37.5 American 11.5 12 12.5 13 13.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Japanese (cm) 16.5 17 17.5 18 18.5 19 19.5 20 20.5 21 21.5 22 22.5 23     NZ CensusAtSchool activities 2009 NZ CensusAtSchool activities 2009 Curriculum Level: 4 23KO. 3 g h i z {  w x Ѡ}l}ll}l}lh}lWllW hhCJOJQJ^JaJh hhCJOJQJ^JaJ#hh5CJOJQJ^JaJ!hhB*CJOJQJph$hh5B*CJOJQJphhhOJQJ^J hhCJOJQJ^JaJ#hh5CJOJQJ^JaJ7jhh5CJOJQJU^JaJmHnHu"123K. g h i { uZZZX$If^`Xgdl $Ifgdl fkd$$Ifl%p& t0p&44 layt$Ifl {  & a w x  s$Ifgdl  st$If^t`gdl $Ifl   R u___Huh$If^hgdl  & F $Ifgdl $Ifl ykd$$Ifl0%79 t0p&44 layt bykd$$Ifl0%r t0p&44 layt$Ifl $Ifgdl  G g Lykd$$Ifl0%r t0p&44 layt$Ifl $Ifgdl  & F$Ifgdl  @abr-s)4pEPʵ᪞xxnxnxg hhhh5CJhhCJ!johhOJQJU^Jhh5CJaJhh>*CJaJhhCJaJ(jhh5CJOJQJUaJhh5CJOJQJaJ h^Hh#hh5CJOJQJ^JaJhhOJQJ^J& + , -.mno$Ifgdl fkd>$$Ifl%p& t0p&44 layt$$Ifa$gdl PQbcdy=>xy5 & F $Ifgdl $Ifgdl $$Ifa$gdl vcM=c$Ifl $$Ifa$gdl $Ifgdl kd$$Ifl0(% ` t d0p&44 lap dyt4JpqLw  & F $Ifgdl  & F$Ifgdl $Ifgdl   _`Jh$e$Ifgdl  & F$Ifgdl $Ifgdl 45b!!$Ifgdl $Ifgdl !!!#!$!%!&!!!!!A"B"Y"Z"["\"^"e"f"g"h"طخ؝؋zp`K(jEhh5CJOJQJUaJhh5CJOJQJaJhOJQJ^J h^Hhhh5CJ#hh5CJOJQJ^JaJ hhCJOJQJ^JaJhhaJj&hhOJQJU#hh5CJOJQJ^JaJhhOJQJ^Jj2hUjO0hU hhh!!$!&!!vcM:$Ifgdl $$Ifa$gdl $Ifgdl kd&$$Ifl0(%  t h0p&44 lap hyt!!!!")"vfS44 & F tt$If^tgdl $Ifgdl $Ifl kdjC$$Ifl0(%  t C0p&44 lap Cyt)"A"B"Z"["WD1$Ifgdl $Ifgdl kd,D$$Ifl0(%  t 0p&44 lap yt & F tt$If^tgdl ["\"^"f"h"""vtaK88$Ifgdl $$Ifa$gdl $Ifgdl kdD$$Ifl0(%  t 0p&44 lap yth"""""#e#f###$c$$$Z%[%\%^%%%************+ +"+.+蹯|m|m]hB*CJOJQJaJphh8RhCJOJQJaJhCJOJQJaJhjhUhCJOJQJ^JhhCJOJQJ^JhOJQJ^JhhOJQJ^JhhCJ,aJhh5CJ,aJhhCJ$aJhhCJ(aJhh>*CJ(aJ#""#$$[%\%]%^%%%`^YYYgdkdV$$Ifl0(% ` t d0p&44 lap dyt & F $Ifgdl %%%C&&&&&&,'}''#($(%(6(((/))))))5*{****gdgd********* +!+"+7+8+9+:+;+gd$a$gd$a$gdgd.+7+:+;+hhCJOJQJ^Jh%h`hB*CJOJQJaJph3 0&P 1F. 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