# Flowchart

## A Mathematics Lesson Starter Of The Day

Try many different starting numbers in the flowchart above.
Which starting numbers reach one the fastest?

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Topics: Starter | Arithmetic | Investigations | Number

• Kerry Grindle, Litherland High School
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• On the Starter of the Day for October 13th, if you follow the flow chart exactly then the number 1 should never have been written down at the end.
• Graham Ingram, Furness School
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• Excellent 10 GI love it
• Mr Fawer, Class 6
•
• My class loved it.
• Borris, Ilkeston
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• The lowest power of 2 that is also bigger than 5 is 8, which is the answer.
• Mr M's Year 8s, Canggu Community School
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• This gave Aria a headache, but everyone else loved it! Thanks :).
• Year 6, Bryanston Square CE
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• We struggled with this and failed to understand how so many numbers were generated. Is this higher level maths?
• David, Illinois
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• The end of the flowchart should go to the second bubble, "write it down," not the first.
This is an employment of the Collatz Conjecture http://en.wikipedia.org/wiki/Collatz_conjecture, basically, any number (save for a few) should eventually end at 1.

[Transum: Thanks David for sharing the link to the Collatz Conjecture information. Regarding the flow chart, it is meant to show returning to the second bubble.]
• Class 5, Lady Royd PS
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• We found it easy and loved it.
• XD,
•
• You should have never have said over 5. You should have said 5 to a limit because kids start choosing numbers like 1,000,000 and then it's too hard so they give up.

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 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=October13

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

Transum.org/go/?to=Happy

Here is the URL which will take them to some more flowchart usage practice.

Transum.org/go/?to=flowchart

Here is the URL for the latest flowchart investigation.

Transum.org/go/?to=Redshift

For Students:

For All: