median
don steward
mathematics teaching 10 ~ 16

Saturday, 4 April 2020

Friday, 3 April 2020

Thursday, 2 April 2020

n out of n + k as a percentage

a ppt is here

looking for integer percentages









increasing by a simple %

a ppt is here



end numbers have a 0 or 5 as the last digit

both start and end numbers have a common factor

they are all 4k , 5k


the start numbers might better be chosen to be of the form 20k

then the end numbers are 23k

with multiples of 10 as start numbers the end numbers are 11.5k

being given 10  ,  11.5 helps...



Wednesday, 1 April 2020

subsections, %

a ppt is here

problems that can be solved with algebra (simultaneous equations)
or diagrams (and simpler algebra)













percentages from a local newspaper

 a ppt is here


Tuesday, 31 March 2020

percentages using 'boxes'

a ppt is here

these are teacher's notes about using a 'boxes' approach to solve a lot of percentages questions
this approach is also identified in the ratio resources

all percentages questions are the same

  • you have four bubbles 
  • the question gives you two numbers
  • a third number is 100
  • this enables you to find the fourth

for an age this has been done by cross multiplying (e.g. ancient Chinese)
I prefer not to...

you get from one bubble to another by multiplicative methods
not by adding or taking

I prefer to use two steps (rather than one - the multiplier)
the default being the 'unitary' method: divide by the bubble you are coming from (to obtain 1) and then multiply by the number you are heading towards

sometimes, where there is a convenient common factor, this can be used as a 'stepping stone' - rather than 1











Monday, 30 March 2020

percentage bran


fdp connections

connections between fractions, decimals and percentages

a ppt is here







Saturday, 28 March 2020