Dancing

A Maths Starter of The Day

 

 

 

 

 

 

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Keywords: Starter | Number Patterns

  • Mr Heeley's Y7 Krew, Rawthorpe High in da Hud
  • Monday, January 28, 2008
  • "We thought that this was a totally cushtie starter and Lydia figured out that it must be the (LCM 0f 2,3 4 and 5) +1. Keep them coming Transum. As Depeche Mode said in 1983 - "We just can't get enough"!"
  • Mr. Davies, British International School, New York
  • Tuesday, January 27, 2009
  • "Fergus in Year 7 also suggested 61x61 = 3721 people would work too!
    That's alot of people dancing if you're the only one left without a partner!"
  • Year 9, Coln House School
  • Thursday, January 28, 2010
  • "This gave the class lots of discussion but we were disappointed with the answer because it was unclear whether you could dance in combinations or not.
    If combinations were not allowed we thought 11 might be a possible answer.
    If combinations were allowed then 8 x 5 plus 7 x 3 = 61 works."

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This starter has scored a mean of 3.8 out of 5 based on 40 votes.
 

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One answer is 61
but there are more!

61 is the lowest common multiple of 2, 3, 4 and 5 plus 1
Teacher, do your students have access to computers?
Do you have "Laptops in Lessons"?

Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning).

Students could use a spreadsheet to create a list of possible numbers of people at the dance. Columns could be set up to show the remainder after dividing by 2 or 3 etc. The MOD function could be used for this:

Eg =MOD(A7,4) shows the remainder when the number in cell A7 is divided by 4.

What if the problem was changed? What if the group sizes were 3,5,7 and 8?