Statistical Investigations Units of Work

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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 toys Greedy Cat

Level 2 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title 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
• 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
 S3-2 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?
• 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 Plan an investigation. Use spreadsheets to display and analyse data. Discuss features of data displays. Compare features of data distributions. Measuring upCarsTravel 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 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@SchoolTime Use SurveyWhat 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
• 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