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.

MATHEMATICAL STRANDS

Number and Probability

PRIOR KNOWLEDGE

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

RELEVANCE TO CORE MATHS QUALIFICATIONS

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

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.

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.

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.

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.

ACKNOWLEDGEMENT

Developed by Tom Rainbow at Ivybridge Community School.