1. Michelle Dalrymple & Grant Ritchie Cashmere High School

2. Playing with toys  Sort your toys… 2

3. Introduction  Us, and our background  Junior Statistics focus  Plan  We’ll speak for 1 hour-ish  Share where we’re all at after that 3

4. Back to the toys  I notice…  I wonder… 4

5. Curriculum levels  Information has been collated from:  Curriculum AOs  Second tier information: student exemplars  http://nzmaths.co.nz/nzc-and-standards http://nzmaths.co.nz/nzc-and-standards  Key ideas  http://www.nzmaths.co.nz/key-mathematical- ideas?parent_node http://www.nzmaths.co.nz/key-mathematical- ideas?parent_node 5

6. CHS Emphasis Year 9Year 10  Playing with data  Introducing PPDAC  Asking good questions  Single distributions  Dot plots  Shape  Box plots  Summary stats (centre, spread)  Making the call 6

7. Year 9  Playing with data - toys 7

8. Year 9  Introducing PPDAC  Background article for teachers  “How Kids Learn – The Statistical Enquiry Cycle”  http://www.censusatschool.org.nz/resources/how- kids-learn/ http://www.censusatschool.org.nz/resources/how- kids-learn/ 8

9. Year 9  Census at school resources: 9

10. Year 9  Year 9 Data Cards 10

11. Year 9  Asking good questions  Posing questions L4 11

12. Year 9  Asking good questions  Posing questions L4 12

13. Year 9  Single distributions descriptions  Using data cards L4 13

14. Year 9 data cards  Summary question:  I wonder what are typical heights for the year 9 students in this group? 14

15. Year 9  Single distributions descriptions  Data cards  dot plots  Analysis Tools L4 v3 15

16. Year 9  Dot plots  Shape  SHAPE ACTIVITIES sheet 16

17. Quickly sketch the general shape of the distribution

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36. Reflection: Seeing shape  What did you look for when catching a glimpse of the plot?  Are your plots similar to your neighbours? 36

37. Describing shape  Choose one plot and with your neighbour discuss how your Year 9 students would describe the shape  What sort of language would they use? 37

38. Connecting shape and context  In pairs, match each context with its graph 38

39. Contexts - variables graphed 1. Number of skips in 30 seconds 2. Birth month 3. Reaction time (secs) 4. Kiwi weight (kg) 5. Attendance (half days) 6. Foot length (cm) 7. Hours worked weekly 8. Household debt 9. Hair length (cm) 39

40. Normal (Bell-curved) Symmetric Uniform Unimodal Bimodal Trimodal Skew Right, Positively Skewed, Long Upper Tail Skew Left, Negatively Skewed, Long Lower Tail Outliers, Extreme Values Giving students statistical language for shapes 40

41. Engaging with shape  One of the keys for unlocking the story behind the data  Develops the skill of what to look at and what to look for  Using their imagination, they start to notice what is interesting, unusual or unexpected. What are the data trying to tell us? 41

42. Shape resources…  http://www.censusatschool.org.nz/engaging- with-shape-3/ http://www.censusatschool.org.nz/engaging- with-shape-3/ 42

43. CHS Emphasis Year 9Year 10  Playing with data  Introducing PPDAC  Asking good questions  Single distributions  Dot plots  Shape  Box plots  Summary stats (centre, spread)  Making the call 43

44. Year 10  http://www.censusatschool.org.nz/2009/t eachers-day/  A complete set of Year 10 lesson plans available that develop students informal inferential reasoning 44

45. Teacher resource Year 10 – making the call 45

46. Pip Arnold Session  Thursday 7 th July 1.30 – 5.00pm  Watch plenary video before the day, found here:  http://www.censusatschool.org.nz/2010/videos/teache rs-day.mov http://www.censusatschool.org.nz/2010/videos/teache rs-day.mov  Will cover  Making the call @ Year 10  Making the call @ Year 11 (91035) 46

47. Time series Year 9Year 10  Linking into what students have done at Primary  Growing plants etc  Emphasis on scales, comparisons, slope, intercepts  Activity using whole PPDAC  Reviewing others reports based on time series  Focus on comparisons  Current time series that students can relate to 47

48. Bivariate data Year 9Year 10  Relationships fall naturally out of playing with data cards  C@S tasks including  Scatterit  The case of the missing cake  Are you a Masterpiece  Good opportunity to review Year 9 work and complete full PPDAC cycle  Leads into 91036 Bivariate data 48

49. Statistical Literacy Year 9Year 10  Evaluating effectiveness of data displays and statements made by others Eg: Grant says that all girls seem to be quite fit  C@S Chocolicious  Evaluate statistical investigations undertaken by others including data collections methods, choice of measures, and validity of findings  Statistics court for extension students 49

50. Second tier information: http://nzmaths.co.nz/nzc-and-standards Links with useful information… Key mathematical (and statistical) ideas: http://www.nzmaths.co.nz/key-mathematical-ideas?parent_node Census at School http://www.censusatschool.org.nz/ 50 For the slides please email: canterburymaths@gmail.com