Statistical Investigations Units of Work

Level 1 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S1-1

  • Pose investigative questions with support from the teacher.
  • With the teacher decide on how to collect the data to answer the investigative question.
  • Sort objects into categories for display.
  • Make a display of the data collected (pictograph).
  • Make statements about data displays.
I like trucks
Greedy Cat

Level 2 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S2-1
 

  • Pose investigative questions.
  • Plan for and collect category data.
  • Display data in tally charts, pictographs and bar graphs.
  • Make statements about data displays.
  • Answer the investigative question.
Parties and favourites
 
  • Write investigative questions for statistical investigations and design a method of collection of data.
  • Display collected data in an appropriate format.
  • Make statements about implications or possible actions based on the results of an investigation.
  • Make conclusions on the basis of statistical investigations.
Planning a statistical Investigation
  • Pose investigative questions.
  • Write data collection or survey questions to support collecting information for investigation.
  • Collect information.
  • Sort information into categories.
  • Display information to answer investigative questions or find out things.
  • Answer investigative questions by sorting, organising and arranging information.
  • Make sensible statements about the information and be able to back up their statements with appropriate displays.
Data Cards Level 2
  • Pose investigative questions
  • Design data collection methods
  • Collect and collate data.
  • Display collected data in an appropriate format and make statements about the displays of data.
  • Make conclusions based on a statistical investigation.
Voting Vitality

Level 3 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S3-1
 

  • Display numerical data using dot plots.
  • Display categorical data using bar graphs.
  • Discuss features of data display.
Sports
  • Plan a statistical investigation.
  • Display data in dot plots, strip graphs and bar charts.
  • Discuss features of data display using middle, spread, and outliers.
Fridge pickers
  • Plan a statistical investigation using the PPDAC cycle.
  • Choose an appropriate data display (bar graph, dot plot, time series graph).
  • Make statements about the findings of the investigation.
Carrots
 
  • Pose investigative questions for statistical enquiry.
  • Plan for data collection.
  • Collect data.
  • Display collected data in an appropriate format.
  • Describe data collected referring to evidence in displays.
  • Make statements about implications or possible actions based on the results of an investigation.
  • Make conclusions on the basis of statistical investigations.
Planning a Statistical Investigation
  • Recognise what the variables are in a secondary data set.
  • Sort the given data into categories.
  • Answer investigative questions by sorting, organising and arranging data.
  • Make sensible statements about the data with supporting evidence.
Data Cards Level 3
  • Plan a statistical investigation to assess the reasonableness of a statement.
  • Carry out a statistical investigation to assess the reasonableness of a statement.
  • Check the reasonableness of answers obtained using a calculator by calculating mentally and using approximations.
Time for breakfast

S3-1

  • Interpret information from graphs.
  • Make statements based on data shown on graphs.
  • Identify the most suitable graph to show survey results.
  • Construct graphs using Excel.
Which Graph? with Excel
  • Display collected data in an appropriate format.
  • Produce bar charts of data using Microsoft Excel.
  • Make statements about implications or possible events based on selected data.
A name is vital

Level 4 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S4-1
 

  • Plan an investigation.
  • Use spreadsheets to display and analyse data.
  • Discuss features of data displays.
  • Compare features of data distributions.
Measuring up
Cars
Travel to school
 
  • design an investigation
  • measure accurately using length and time
  • record data in tables
  • use scatter plot graphs to display paired numerical data

Paper Planes: Level 4

  • Critically explore the validity of claims based on data.
  • Evaluate the quality of survey items that are developed by others.
  • Create survey items that align to a research question.
  • Administer a survey, collate and display the data, and report findings.
How much bullying?
  • Plan an investigation.
  • Use spreadsheets to display and analyse data.
  • Discuss features of data displays.
Sports statistics
  • Construct a stable ramp to meet conditions.
  • Follow and repeat a procedure to replicate exactly the same conditions (fair testing).
  • Measure and record distances accurately.
  • Graph the starting positions and distances travelled on scatter graphs.
  • Talk about distinctive features of scatter graphs.
  • Make statements, backed up by reference to graphs, about possible actions.
Marble Roll
  • Identify an area of interest to investigate.
  • Find data displays including graphs, tables, and non-traditional data representations, that can inform the investigation e.g. from websites and other sources.
  • Explore the information behind the data displays to make sense of the data and use it to explore an area of interest.
  • Interpret and use data displays.
  • Discuss features of a data display.
  • Communicate findings.
Exploring New Zealand’s data
  • Recognise variables and measures in an existing data set.
  • Establish criteria and use these to sort data.
  • Display data using dot plots and scatterplots for numeric data, and bar and pie charts for categoric data.
  • Use graphs to make comparisons between groups.
  • Justify conclusions based on data.
Rugby world cup stats

Level 5 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S5-1
 

  • Plan an investigation.
  • Discuss features of data displays using mean and mode.
  • State implications from investigation.
Average looking
  • Plan an investigation including selecting an appropriate sample choose and construct appropriate data displays.
  • Discuss features of data displays using mean, median and mode and looking at the range.
  • Where appropriate state implications from their investigation.
  • Look at possible further investigation or improvements to their investigation.
Census@School
Time Use Survey
What is a Typical Year 8?
  • Discuss features of small amounts of discrete data.
  • Compare features of sets of small amounts of discrete data.
  • Plan and conduct an investigation to ascertain information from a set of data.
  • Report the results of the investigation concisely and coherently.
Discrete Data
  • Identify questions that can be answered using statistical data.
  • Discuss the notion of ‘outlier’.
  • Draw box and whisker plots.
  • Compare two such plots.
A Preliminary Investigation of Reaction Times

Level 6 Statistical Investigations

Achievement Objectives Learning Outcomes Unit title

S6-1
 

  • Plan an investigation.
  • Be able to display time series data.
  • Discuss the components and features of time series distributions.
  • Compare features of different time series distributions.
  • Report the results of a statistical investigation concisely and coherently.
Time Series (L6)
  • Write and answer a question that compares sets of statistical data.
  • Justify the answer to a question with reference to graphs and statistical calculations.
  • Compare data about two variables by finding mean, median, modes, range and interquartile range.
  • Compare data about two variables by drawing graphs including back to back stem and leaf, box and whisker, scatter and composite bar graphs.
  • Record statistical information in ways that are helpful for drawing conclusions.
  • Comment on statistical processes e.g. bias, limitations and possible improvements.
Stork Delivery
  • Calculate means.
  • Choose appropriate ways of grouping continuous variables in order to represent them on histograms.
  • Compare two distributions.
  • Discuss the difference between the distribution of a variable and the distribution of the mean of a variable.
Further Investigations of Reaction Times