# NZC Level 1

# NZC Level 2

## Resources for teaching and learning

### Teacher Preparation

### Classroom Activities

### Tools

### Curriculum and Assessment

# NZC Level 3

## Resources for teaching and learning

### Key Resources

**Learning about the Census****Probability - Planning to learn, G. Ritchie & M. Dalrymple****The dog ate my homework (Year 7-10) - Robyn Headifen****Stick Figure Data Cards - Anna Fergusson****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster**

### Teacher Preparation

**Probability - Planning to learn, G. Ritchie & M. Dalrymple****STEW, STatistics Education Web****Education and Training Census 2013 infographic****How Kids Learn – the statistical enquiry cycle****Statistical Investigation****Alignment of C@S activities with National Standards****Building Statistical Thinking towards Level 6****Using the Data Viewer to explore stories in data.****Review of e-asTTle assessment tool: Statistics in the New Zealand Curriculum**

### Classroom Activities

**Learning about the Census****The dog ate my homework (Year 7-10) - Robyn Headifen****By the Numbers: National Geographic Kids****I notice, I wonder... - NCTM****Stick Figure Data Cards - Anna Fergusson****Nosey Parker 2****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster****Reconnecting Data and Chance****E-ako: Probability and Statistics Pathways****Conducting statistical investigations in Year 9 and Year 10 to develop learners’ statistical thinking****Misleading claims in the media: Junior focus****Engaging junior students in dynamic and collaborative statistics****Digital Learning Objects****Building Statistical Thinking towards Level 6****The Survey Toolkit****Nosey Parker 1****Stop or Dare****Collecting Data in the Classroom****Figure it Out****ID Cards**

### Tools

### Sourcing Materials

### Curriculum and Assessment

# NZC Level 4

## Resources for teaching and learning

### Key Resources

**Learning about the Census****Probability - Planning to learn, G. Ritchie & M. Dalrymple****Year 9 and 10 Statistics and Probability****Fun + Relationships + Curriculum = Awesome, Grant Ritchie & Michele Dalrymple****The dog ate my homework (Year 7-10) - Robyn Headifen****Stick Figure Data Cards - Anna Fergusson****Masterpiece 2****Scatter it****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster****Statistical Reasoning with Data Cards - Webinar. Anna Fergusson****Posing summary investigative questions**

### Teacher Preparation

**Probability - Planning to learn, G. Ritchie & M. Dalrymple****Changing Teaching Statistics: Real Data, Real learning****STEW, STatistics Education Web****Education and Training Census 2013 infographic****The Language of Shape****How Kids Learn – the statistical enquiry cycle****Statistical Investigation****Statistics Education 21st Century NZ****Statistical Reasoning with Data Cards - Webinar. Anna Fergusson****Engaging Students in dynamic and collaborative Statistics****Alignment of C@S activities with National Standards****Building Statistical Thinking towards Level 6****Using the Data Viewer to explore stories in data.****Review of e-asTTle assessment tool: Statistics in the New Zealand Curriculum****Bowland Maths**

### Classroom Activities

**Learning about the Census****Year 9 and 10 Statistics and Probability****Fun + Relationships + Curriculum = Awesome, Grant Ritchie & Michele Dalrymple****The dog ate my homework (Year 7-10) - Robyn Headifen****Worthwhile tasks: Exploring measurement and using statistics in a practical context - Blake Watkins****Oxfam: Bringing data to life****By the Numbers: National Geographic Kids****I notice, I wonder... - NCTM****Conducting statistical investigations in Yr 9 & 10 - Robyn Masanga****Stick Figure Data Cards - Anna Fergusson****Masterpiece 2****Scatter it****Interactive World Statistics****Making Stats more awesome - Helen Teal****The progression of Inference from Year 9 to AS1.10 and beyond****Nosey Parker 2****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster****Reconnecting Data and Chance****Mix'n'match statistical games****Data card sampling from a population Yr 9-12****E-ako: Probability and Statistics Pathways****Conducting statistical investigations in Year 9 and Year 10 to develop learners’ statistical thinking****How far until it stops?****Misleading claims in the media: Junior focus****Engaging junior students in dynamic and collaborative statistics****Engaging Students in dynamic and collaborative Statistics****Digital Learning Objects****Developing Quality in Mathematics Education (DQME)****Junior Statistics - an integrated programme (Year 9 and 10)****Building Statistical Thinking towards Level 6****Bowland Maths****The Survey Toolkit****Nosey Parker 1****8 glasses per day?****Statistical graphs and writing starters****Posing summary investigative questions****Stop or Dare****Collecting Data in the Classroom****Figure it Out****How high can you jump?****Speedster****Who wants to be a millionaire?****Using data cards****The case of the missing cake****Rumbling Tummy****Analysis tools**

### Tools

### Sourcing Materials

### Curriculum and Assessment

# NZC Level 5

## Resources for teaching and learning

### Key Resources

**Learning about the Census****Probability - Planning to learn, G. Ritchie & M. Dalrymple****Introduction to mulitvariate data - Michelle Dalrymple****Year 9 and 10 Statistics and Probability****Fun + Relationships + Curriculum = Awesome, Grant Ritchie & Michele Dalrymple****Statistical Investigations Part 1: Introduction to the PPDAC cycle****Statistical Investigations Part 2****Statistical Investigations Part 3****The dog ate my homework (Year 7-10) - Robyn Headifen****How data can change our worldview? Rachel Cunliffe****Stick Figure Data Cards - Anna Fergusson****Caught in the path of the data deluge****Engaging with shape****Masterpiece 2****Masterpiece 3****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster****Karekare College: building conceptions of populations and samples****Introduction to making a call (Karekare College)****Developing Students' Inferential Reasoning****Animations of sampling variation****Developing the language of (statistical graphs) shape****Essential Teaching and Learning Experiences for successful Probabilistic Thinking****Probability experiences, Level 1 and before****Making the call Year 10**

### Teacher Preparation

**Probability - Planning to learn, G. Ritchie & M. Dalrymple****Statistical Investigations Part 1: Introduction to the PPDAC cycle****Statistical Investigations Part 2****Cross curricular projects to give meaning to statistics - Abigail Mantaj****A Models and Modelling approach - Anne Patel****Changing Teaching Statistics: Real Data, Real learning****STEW, STatistics Education Web****The “Battle” (??) between mathematics and statistics****Caught in the path of the data deluge****Education and Training Census 2013 infographic****Using iNZight for the first time****The Language of Shape****How Kids Learn – the statistical enquiry cycle****Statistical Investigation****Animations of sampling variation****A teachers's guide to informal comparative reasoning****Statistics Education 21st Century NZ****Engaging Students in dynamic and collaborative Statistics****Building Statistical Thinking towards Level 6****Developing the language of (statistical graphs) shape****Bowland Maths**

### Classroom Activities

**Learning about the Census****Introduction to mulitvariate data - Michelle Dalrymple****Year 9 and 10 Statistics and Probability****Fun + Relationships + Curriculum = Awesome, Grant Ritchie & Michele Dalrymple****Statistical Investigations Part 1: Introduction to the PPDAC cycle****Statistical Investigations Part 2****Statistical Investigations Part 3****Zoom In! - Dynamic Data Science****The dog ate my homework (Year 7-10) - Robyn Headifen****Worthwhile tasks: Exploring measurement and using statistics in a practical context - Blake Watkins****Describing distributions - Pip Arnold****Oxfam: Bringing data to life****By the Numbers: National Geographic Kids****I notice, I wonder... - NCTM****Conducting statistical investigations in Yr 9 & 10 - Robyn Masanga****Statistical thinking and reasoning for Level 1 - Dr Nic****Johnnie's Math Page - Probability****Activities for Probability - Pip Arnold****Stick Figure Data Cards - Anna Fergusson****2013 Census Spotlight on greater Christchurch****Engaging with shape****Masterpiece 2****Masterpiece 3****Interactive World Statistics****Making Stats more awesome - Helen Teal****iNZight instructions 2 (Bear hugs 2)****Bear hugs 2****Armspans****The progression of Inference from Year 9 to AS1.10 and beyond****Nosey Parker 2****Bear hugs 3****iNZight instructions 1 (Bear Hugs 1)****Are you getting enough zzz?****Statistics Latte - Dru Rose****Te Tūhuratanga Tauanga He Toa Tūhura Koe****Data Detective Poster****Karekare College: building conceptions of populations and samples****Introduction to making a call (Karekare College)****Developing Students' Inferential Reasoning****iNZight instructions 3 (Bear hugs 3)****Data card sampling from a population Yr 9-12****E-ako: Probability and Statistics Pathways****How far until it stops?****Misleading claims in the media: Junior focus****Engaging junior students in dynamic and collaborative statistics****Engaging Students in dynamic and collaborative Statistics****Digital Learning Objects****Developing Quality in Mathematics Education (DQME)****Sugar guzzlers****Junior Statistics - an integrated programme (Year 9 and 10)****Building Statistical Thinking towards Level 6****Developing the language of (statistical graphs) shape****Bowland Maths****The Survey Toolkit****Nosey Parker 1****Statistical graphs and writing starters****Making the call Year 10****Masterpiece 1****Speedster****Tell it like it is!****Cleaning data****A tall tale****Chocolicious****Big Foot****Bear Hugs 1**

### Tools

### Sourcing Materials

**How data can change our worldview (+ why CensusAtSchool matters more than ever) - Rachel Cunliffe,****How data can change our worldview? Rachel Cunliffe**

### Curriculum and Assessment

# 1.10 Investigate a given multivariate data set using the statistical enquiry cycle

# 1.11 Investigate bivariate numerical data using the statistical enquiry cycle

# 1.12 Demonstrate understanding of chance and data

# 1.13 Investigate a situation involving elements of chance

# 2.8 Design a questionnaire

# 2.9 Use statistical methods to make an inference

# 2.10 Conduct an experiment to investigate a situation using statistical methods

# 2.11 Evaluate a statistically based report

# 2.12 Apply probability methods in solving problems

# 2.13 Investigate a situation involving elements of chance using a simulation

# 3.8 Investigate time series data

# 3.9 Investigate bivariate measurement data

# 3.10 Use statistical methods to make a formal inference

# 3.11 Conduct an experiment to investigate a situation using experimental design principles

# 3.12 Evaluate statistically based reports

# 3.13 Apply probability concepts in solving problems

# 3.14 Apply probability distributions in solving problems

# Scholarship

Scholarship Statistics candidates are expected to demonstrate high-level critical thinking, abstraction and generalisation, and to integrate, synthesise and apply knowledge, skills, understanding and ideas to complex situations.

The student will use knowledge of statistics to apply statistical and probability concepts and methods to complex problems in contexts which may be unfamiliar, interpret and, where appropriate, make inferences and clearly communicate concepts and findings.

* Applying* and *interpreting *statistical and probability concepts and methods may involve:

- exploring data
- drawing on informed contextual knowledge
- making inferences
- dealing with sources and consequences of uncertainty
- applying appropriate models
- stating and evaluating assumptions of models used
- explaining conceptions and processes (e.g. simulation-based processes)
- critiquing based on the Problem-Plan-Data-Analysis-Conclusion (PPDAC) cycle
- offering competing explanations and important follow-up questions
- evaluating statistically based and / or probabilistically based reports

* * from the NZQA Statistics Performance Standard*

**Scholarship Statistics Specifications and Guides**

- NZQA Scholarship Awards
- Statistics Assessment Specification and Examinations 2013 – 2004
- Statistics Scholarship Performance Standard Dec 12
- Sample Resources
- Some personal comments on the NZ Scholarship Statistics Sample Examination

## Resources for teaching and learning

### Key Resources

**Higher level communication for Scholarship and Excellence - Dr Nic (SLC)****Video: Comparing Series [ 4 min]**

### Teacher Preparation

**The Joy of data analysis and critical thinking - a Welsh perspective****Higher level communication for Scholarship and Excellence - Dr Nic (SLC)****2016 Panel discussion on Scholarship Statistics****2015 Scholarship Statistics discussion group****Video: Comparing Series [ 4 min]**