MARS: data: representing data
This collection features eleven resources on the topic of representing data.
The resources feature:
- Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
- Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
- Tasks that provide mathematically rich problems that come with work for students to peer assess.
The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.
Resources
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Representing data with grouped frequency graphs and box plots
This is a problem solving lesson where students develop their understanding of how to interpret frequency graphs that use grouped data, together with their associated box plots. Particular attention is paid to minimum and maximum values, medians and quartiles.
The lesson begins with students interpreting...
Representing variability with mean, median, mode and range
This is a concept development lesson that involves deepening understanding of how to calculate the mean, median, mode, and range from a frequency chart. Coverage is also given to using a frequency chart to describe a possible data set given information on the mean, median, mode and range.
The situation is...
Birds' eggs: scatter diagrams
This task assesses understanding of scatter diagrams. A scatter diagram is presented that shows the lengths and widths of the eggs of some American birds.
The task involves plotting additional points on the diagram, describing correlation, interpreting a point on the diagram, and estimating the width of an...
Scatter diagrams
This task assesses understanding of scatter diagrams and lines of best fit. A scatter diagram is presented that shows the scores achieved in two tests.
The task involves plotting a point to show the average score for each test, drawing a line of best fit, and then assessing five statements about the scatter...