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Again
and Again
This
is an investigation involving fractions and decimals. Some knowledge
of the equivalence of fractions and decimals is required.
If
the same operations are carried out many times what is the final
result?
Does
it matter what the start number is?
Try dividing by 4 and adding 1, dividing by 6 and adding 1.
Change the number that is added..
dividing by 5 and adding 2.
Use
the Again and Again activity
Excel
spreadsheet
The
Mean Series
Start
with any two numbers
e.g. 3 and 5
The next term is the mean of the previous two terms
3, 5, 4, 4.5, 4.25 .....
Investigate
the Mean Series; some knowledge of the equivalence of fractions
and decimals is required.
If
this activity is carried out using a spreadsheet then it's a good
idea to tell the computer to draw a line graph showing the series.
Pupils
have described the resulting graph as a heart rate monitor with
a sad outcome!
Use
the Mean Series activity
Excel
spreadsheet
Here
are instructions
on how to set up the Excel spreadsheets.
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