Investigating Division

Years 2 - 6

Summary

Poly Plug are used to represent numbers. A chosen number is divided into equal rows and left overs are allowed. This physical division can be explored with the calculator and recorded in symbols. Suitable for threading.

Materials

  • One calculator each
  • One Poly Plug each

Acknowledgement

This activity was contributed by Kath Shearer and Rhonda Woods of Margate Primary School, Tasmania.

Procedure

  1. Choose a number of the day, say 18.
  2. Children use that many plugs and find as many ways as possible to arrange them in equal rows, with left overs if necessary. Colour can be used to highlight the arrangement.
  3. Children record in their journal (Poly Plug Paper may be useful) and check their recording with a calculator.
Two Rows of 7 plus 4

For example, this one illustrates:

  • 18 7 = 2 rem 4
  • (2 x 7) + 4 = 18
  • 7 + 7 + 4 = 18
  • 18 - 7 - 7 = 4
Members can find several extensions to this activity in Investigating Division Further.
 

Content

  • decimal calculations
  • decimal interpretation
  • decimal representation of a fraction
  • division
  • equations: creating/solving
  • exploring large numbers
  • multiples, factors & primes
  • multiplication - array model
  • multiplication
  • operations - whole number
  • order of operations
  • recording - calculator
  • recording - written
  • times tables
  • visual and kinaesthetic representation of number

Calculating Changes ... is a division of ... Mathematics Centre