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Fitting
Numbers

At a basic level the task provides a setting for consolidation and practice of basic addition and multiplication of pairs of numbers from 1 to 10.

This leads naturally into a consideration of the distribution of results in the 10 x 10 multiplication table as a probability sample space.

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MATHEMATICAL STRANDS

Number and Probability

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PRIOR KNOWLEDGE

The task should be accessible to all students and provide an interesting competitive setting for practising basic arithmetic.

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RELEVANCE TO CORE MATHS QUALIFICATIONS

  • AQA
  • C&G
  • Eduqas
  • Pearson / Edexcel
  • OCR

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SUGGESTED APPROACHES

Ideal as a groupwork activity that could promote whole class cohesion. The random generation of the numbers introduces a chance element, meaning that success is not simply a question of mathematical ability.

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RESOURCES / DOCUMENTATION

In addition to this overview there are

  • Extensive teacher notes/guidance
  • An Excel spreadsheet with various worksheets including those for generating the random numbers and calculations and a response sheet that can be printed off for students to use when doing the activity.

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RELEVANT DIGITAL TECHNOLOGIES

The spreadsheet is needed for teacher use to generate the questions that students do without any calculator aids. (If the classroom has a 10 x 10 multiplication grid displayed, it should be removed for this activity.)

Software such as Excel, Autograph or Geogebra could be used for the statistical analysis of a distribution.

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POSSIBLE EXTENSIONS

Formulae for generating random numbers in a spreadsheet such as =INT(RAND()*10+1) along with the use of mixed absolute and relative references to efficiently generate the 10 x 10 multiplication table, e.g. =$B41*I$2.

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ACKNOWLEDGEMENT

Developed by Tom Rainbow at Ivybridge Community School.