Michelle Dalrymple & Grant Ritchie Cashmere High School.

JUNIOR STATISTICS

Michelle Dalrymple & Grant RitchieCashmere High School

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Playing with toys

Sort your toys…

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Introduction

Us, and our background Junior Statistics focus Plan

We’ll speak for 1 hour-ish Share where we’re all at after that

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Back to the toys

I notice… I wonder…

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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

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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

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Year 9 Playing with data - toys

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Year 9 Introducing PPDAC

Background article for teachers “How Kids Learn – The Statistical Enquiry

Cycle” http://www.censusatschool.org.nz/resources/h

ow-kids-learn/

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Year 9 Census at school resources:

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Year 9

Year 9 Data Cards

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Year 9

Asking good questions

Posing questions L4

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Year 9

Asking good questions

Posing questions L4

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Year 9

Single distributions descriptions Using data cards L4

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Year 9 data cards

Summary question: I wonder what are typical heights for the

year 9 students in this group?

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Year 9

Single distributions descriptions Data cards dot plots

Analysis Tools L4 v3

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Year 9

Dot plots Shape

SHAPE ACTIVITIES sheet

SKETCHING SHAPES

Quickly sketch the general shape of the distribution

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0 20 40 60 80 100 120 140

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0 2 4 6 8 10 12 14

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0.5 1.0 1.5 2.0 2.5 3.0 3.5

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1.5 2.0 2.5 3.0 3.5 4.0 4.5

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0 20 40 60 80 100

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16 20 24 28 32

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0 200 400 600 800

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0 100000 200000

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0 20 40 60 80

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Reflection: Seeing shape

What did you look for when catching a glimpse of the plot?

Are your plots similar to your neighbours?

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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?

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Connecting shape and context

In pairs, match each context with its graph

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Contexts - variables graphed1. Number of skips in 30 seconds2. Birth month3. Reaction time (secs)4. Kiwi weight (kg)5. Attendance (half days)6. Foot length (cm)7. Hours worked weekly8. Household debt 9. Hair length (cm)

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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

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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?

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Shape resources…

http://www.censusatschool.org.nz/engaging-with-shape-3/

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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

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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

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Teacher resource

Year 10 – making

the call

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Pip Arnold Session

Thursday 7th July1.30 – 5.00pm

Watch plenary video before the day, found here: http://www.censusatschool.org.nz/2010/vide

os/teachers-day.mov

Will cover Making the call @ Year 10 Making the call @ Year 11 (91035)

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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

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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

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Statistical Literacy

Year 9 Year 10

Evaluating effectiveness of data displays and statements made by othersEg: 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

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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/

For the slides please email:

[email protected]