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YEAR 9 : handling data

The content for this section is sub-divided into the following areas:

Specifying a problem, planning and collecting data Processing and representing data
Interpreting and discussing results Probability

 

 

Specifying a problem, planning and collecting data        Top

Y7 Objectives Y8 Objectives Y9 Objectives Resources
  • Suggest possible answers for a given problem
  • Discuss a problem and identify related questions
  • Suggest a problem and identify questions/conjectures
 
  • Decide which data and sources would be relevant
  • Decide which data and sources are needed
  • Discuss how data relates to problem and sources of data
 
   
  • Identify possible sources of bias and how to minimise
 
  • Plan how to collect and organise small sets of data

 

  • Plan how to collect data, including sample size

 

  • Plan/design survey/experiment to capture data
 
  • Design a data collection sheet or questionnaire

 

 
  • Design, trial and refine data collection sheets
 
  • Construct frequency tables for discrete data
  • Construct frequency tables for grouped data
  • Construct frequency tables for continuous data

 

  • Construct tables for large sets of raw data 
 
 
  • Design and use two way tables for discrete data

 

  • Design and use two-way tables
 
  • Collect small sets of data from surveys and experiments

 

  • Collect data using a suitable method 

 

  • Gather data from specified secondary sources
S data picking (BBC Maths file)
   
  • Identify extra info. needed to pursue further enquiry
 

Processing and representing data                                 Top

Y7 Objectives Y8 Objectives Y9 Objectives Resources
  • Find the mode, median and range
  • Calculate statistics, including with a calculator
  • Calculate and select appropriate summary values
S train race (BBC Maths file)
  • Find the modal class for grouped data
 
  • Find the median for large data sets
 
  • Calculate mean, including from simple frequency tables
  • Appropriate use of measures of average and spread
  • Estimate the mean for large sets of grouped data
 
S train race (BBC Maths file)
 
  • Construct and use stem and leaf diagrams
  • Construct frequency polygons (ICT)
 
  • Construct graphs and diagrams on paper or using ICT
  • Use ICT to construct pie charts
  • Construct pie charts (ICT)
  • Use bar charts and frequency diagrams (ICT)
  • Use bar charts and frequency diagrams (ICT)
 
 
  • Construct simple line graphs (ICT)
  • Construct simple line graphs (ICT)
 
 
  • Construct simple scatter diagrams (ICT)
  • Construct scatter diagrams and discuss correlation (ICT)
W Correlation
 
  • Identify the most useful representation of data
  • Identify the most appropriate representation of data
 
   
  • Identify the key features present in the data

Interpreting and discussing results                                 Top

Y7 Objectives Y8 Objectives Y9 Objectives Resources
  • Interpret diagrams and graphs
  • Interpret tables, diagrams and graphs - relate to problem
  • Interpret tables, diagrams and graphs - relate to problem
S data picking (BBC Maths file)
   
  • Analyse data to find patterns and exceptions
 
   
  • Look for cause and effect and try to explain anomalies
 
  • Compare two distributions using range and an average
  • Compare two distributions using range and an average
  • Compare 2+ distributions using shape, range and average
S train race (BBC Maths file)
  • Write a short report of a statistical enquiry
  • Write a report of a statistical enquiry
  • Communicate interpretations/results of a statistical enquiry
 
   
  • Examine critically the results of a statistical enquiry
 

Probability                                                                         Top

Y7 Objectives Y8 Objectives Y9 Objectives Resources
  • Use vocabulary and ideas of probability
  • Use vocabulary and ideas of probability
  • Use vocabulary of probability
 
 
  • Appreciate that random processes are unpredictable
   
  • Understand and use the probability scale from 0 to 1
  • Know sum of probabilities of m.e. outcomes is 1 or 100%
  • Know sum of probabilities of m.e. outcomes is 1 or 100%
 
  • Find/justify probabilities based on equally likely outcomes

 

  • Find and record all possible outcomes systematically
  • Identify all mutually exclusive outcomes of an experiment
 
S fish tank (BBC Maths file)
 
  • Use diagrammatic and tabular forms of presentation
   
  • Estimate probabilities based on experimental data

 

  • Appreciate effect of sample size on experimental prob.
  • Estimate probabilities from experimental data
  • Understand relative frequency as an estimate of probability
 
  • Compare experimental and theoretical probabilities
  • Compare experimental and theoretical probabilities
  • Compare experimental and theoretical probabilities
 
   
  • Appreciate difference between explanation and evidence