Dancing

A Maths Starter Of The Day

How many people were at the dance?

When they danced as couples there was one person left over.

When they danced in threes one person was left over.

When they danced in fours one person was left over.

When they danced in fives one person was left over.

 

Dancing

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Topics: Starter | LCM | 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."
  • Mrs R,
  • Wednesday, January 25, 2012
  • "I didnt think it was unclear at all. The students knew that phrases 'danced in 3's' meant that everyone was in groups of three except 1.
    Perhaps saying 'When they all danced in threes' would help remove any doubt.
    I like this type of starter it makes some kids feel very smart when they get it and it isnt always the ones with the high grades as it takes a different type of skill to use your brain in this way. Well done transum."
  • Mr Walkers Year 4 Mathematical Genii, Forest Gate London
  • Friday, May 25, 2012
  • "It was a good activity to help with times tables and if we didn't know the 8 times table we did a pattern to work it out.
    "It made our brains exercise."."
  •  

  • Mr Spurling And His Homies,
  • Monday, January 28, 2013
  • "This was a totally sic starter. We took a while to get it but it was off the hook."
  • Miss Wilson's Awesome Year 7SC Class!, Ascot International School Of Awesomeness, 3rd Floor, End Of Corridor, Bangkok, Thailand
  • Wednesday, January 30, 2013
  • "We come from thailand,bangkok,ascot international school We danced to the music first to get our brain's going and it worked! Wong Zi Xiang Gu Rock!!!"

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This starter has scored a mean of 4.0 out of 5 based on 89 votes.


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Answers

One answer is 61

but there are more!

61 is the lowest common multiple of 2, 3, 4 and 5 plus 1


Laptops In Lessons

Teacher, do your students have access to computers?
Do they have Laptops in Lessons or iPads?

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

Laptops In Lessons

Here is the URL for a concise version of this page without comments or answers.

Transum.org/go/?Start=January28

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?

 

Here is the URL which will take them to a student number patterns activity.

Transum.org/go/?to=Satisfaction




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