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Junior Statistics

Join Michelle Dalrymple and Grant Ritchie from Cashmere High School for an interactive session on Junior Statistics focusing on data analysis through playful methods. The presenters will discuss the relevance of statistical concepts such as single distributions, dot plots, and box plots. Engage with activities designed to develop questioning skills and statistical language, allowing students to explore and analyze their own data. This session emphasizes the importance of shape in data visualization and supports Year 9 and Year 10 students in their statistical journey.

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Junior Statistics

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  1. Michelle Dalrymple & Grant Ritchie Cashmere High School Junior Statistics

  2. Playing with toys • Sort your toys…

  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

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

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

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

  7. Year 9  • Playing with data - toys

  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/

  9. Year 9 • Census at school resources:

  10. Year 9 • Year 9 Data Cards

  11. Year 9 • Asking good questions • Posing questions L4

  12. Year 9 • Asking good questions • Posing questions L4

  13. Year 9 • Single distributions descriptions • Using data cards L4

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

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

  16. Year 9 • Dot plots  Shape • SHAPE ACTIVITIES sheet

  17. Quickly sketch the general shape of the distribution Sketching shapes

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

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

  20. Connecting shape and context • In pairs, match each context with its graph

  21. Contexts - variables graphed • Number of skips in 30 seconds • Birth month • Reaction time (secs) • Kiwi weight (kg) • Attendance (half days) • Foot length (cm) • Hours worked weekly • Household debt • Hair length (cm)

  22. Giving students statistical language for shapes 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

  23. 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?

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

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

  26. Year 10 • http://www.censusatschool.org.nz/2009/teachers-day/ • A complete set of Year 10 lesson plans available that develop students informal inferential reasoning

  27. Teacher resource Year 10 – making the call

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

  29. Time series Year 9 Year 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

  30. Bivariate data Year 9 Year 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

  31. Statistical Literacy Year 9 Year 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

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

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