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Mystery spinner: challenge

Description

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to five equal-sized sectors. Fill the sectors with up to five colours. For example, make a six-part spinner with three red sectors, two blue sectors and one yellow sector. Test the new spinner over a number of spins. Look at a graph of the test results. Compare it to the graph generated by the mystery spinner. Are the results similar? This learning object is the second in a series of three objects that progressively increase in difficulty.

Key learning objectives

  • Students explore the difference between the information provided by short-run, medium-run and long-run data.
  • Students explore the relationship between sample space and likelihood of outcomes.
  • Students analyse experimental data to identify mathematical equivalence in random generators.
  • Students interpret data in tables and graphs.

Educational value

  • Students use frequency graphs and data tables to compare theoretical outcomes and actual results.
  • Includes a tool enabling students to construct area-based random generators in the form of spinners and to run trials to generate short-run, medium-run and long-run data.
  • The spinner tool maximises student choice, control and creativity as they explore the results from making various spinners.
  • Experimental results are dynamically displayed in a column graph and a table that shows both theoretical outcomes and actual results.
  • Supports both visual and numerical strategies through use of random generators, graphs and tables.


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