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good afternoon everyone is great to be with you this afternoon
we've got a really special challenge for you to take a look at some on c_ challenge
circuits go straight into it
the mindset challenges all about problems solving
and here's the problem for this afternoon to take a look at
problem solving it is really importance for the next
but let's have a look and see if you can help us
gets this problem solved
the challenge
you're given a twelve liter container
so we got twelve e the container
an explosion of a toxic liquid
and you've got to be mt container is that mc
one holds any concerns
and the other holds five liters
the containers had no emission its
can you devised
the twelve liters of liquid in cheap cheap equal volumes
well that's a really interesting question
and on hoping that you can think about it for a while
really we've given you the sort of christians and think about
is it
the one thing about mathematics and i really love
is that it's addictive
it's addictive in its ability to
hook you into a problem
and asking to solve it
but many lenders dimes had the ability to and revel would problems like these
so in the short presentation i'd like to go to some fundamental states
before giving you
the on such a description
but the first thing is obviously to find out
and decode what the language is saying and trying to symbolize that so whether it's a
physics problem with the reason that's problem we like to start by saying let's draw a picture
to represent what we've got
so let's go to the picture straight away
and here we go
we've got
the starting condition
twelve lisa container sort of the toxic liquidated the and that that starting position
then we've got an eighty two containers that's empty
we recognize that the second container of its inti
is the body to contain
so that we need to be able to take the eighty the twelve liters yet
using just the eighty-two and the five liter
and providing in some way
certificates
what the in condition should be
so what do you think the inch conditions should be
that's all starting position
let's try and visualize what the question is telling us
what we need to do with the aids
have a look at the question again and let's make sure that we've got that sort of dots
and here we go
can you provide into cheap equal volumes will twelve divided by two that's going to give
us six
so into condition
should be something like that not clearly
this one was the twelve d two containers that you can contain sixty teachers
this one was the eighty two containers that can convert this one is a five major contender
its clients
contain anything
because it hasn't got enough volume
to contain the sixty-two so that's an important the diff
deduction that we've been able to make that point
so happens all the we've got the beginning
now we've got the year-end
how can we get the in between states well one of the ways of doing that is to create
a mathematical model
and mathematical models is well that's trying some things and so what i've done
is after taken some old
uh... coding contenders
and i have
scale them down because we have another twelve leader container in the studio
but i still down until we got
container contains one comment you deters of paper on toxic fluid it's not really toxic
but it's a problem for this
and what i've got here isn't empty container
that has a capacity
of eight hundred most and this one has a capacity
a five hundred
using these containers
starchy play around a little bit
the summit problem solving becomes interactive
and it's something that we really should be trying to get on the nasty chief interact
with modeling the prestigious
it doesn't really matter
with that come up with a solution or not
but they become actively engaged
injuring the problem like that so really think we should start
but you'd like to think about it for a minute
boulder to possible that starting points i suppose
one could pour
the food from
the large container into the taking the content of this container representing a jesus
or into the five easy container
i'm going to make the choice
of doing
twelve you to contain a
into the five liters
into the eighty-two ***
let's see what the skids s
as we finish it off
the redirect now we've got you containers
lexie were what up
indistinct ones in arias
technicians record s
because i've done some preparation of the day step one what we did
isri choke
some fluid from the large container
and removed its
into the second content on the chart into that container
managers
i moved it into that contain at like thats
and this
a container now let's summarize our results that we've got a few we started with twelve
he says
every filled up
this container which wasn't eighty-two container
so that means that we've got paid teachers of the hit uh... let's ha like that
we've got eight pieces of the here
we take twelve liters remove a_d_ ages away
well additions before he says that we can
that doesn't really help me too much
it's starting to get the juices going
so what's the next step what can i do you think the mixtape
we recognize that
somewhere over here for details
i want to get to six liters
maybe i should try something else
let's try this
it's take what i've got in the eighty-two container
and it's poured into the
five liter content
remember this doesn't really five liters
it's just a scaled down version of the five meters
set roughly that
what does that give us now
let's go to the stick to it can see the prices
that's where we were in step one
what we've done next is to move
incident
and let's pick it up commuted in
so that we've not got the situation
just to check that we've got the rock heights
can use
and measuring tool to check that's
notes as they know measuring tools on the
the volume that we know that because four he says that the here
support each is here
we use the religious to check
you can see
we started with eight reviews dot five
so we've got two releases lift you up
and naw
we've got five liters
atmosphere
so five liters of issue
wonder if it's helping you a little bit to see it in concrete detail
as well is to see the simulation
we need to get two sixty teachers somehow
or the in other ways of getting to six we could at three and three
alguna foreign to me
or even five and one
we're starting to get some differences here we recognize that
we've got to really turn a forty seven five needs a and maybe there's some solutions
help you can start to see some things
think about it a little bit let's pick up six three that we're going to do next
there is a starting point
this is the sleepover third st
now what are like is this to really take you up
but i would like to see this really tell
into this content of the chris three
gives me
uh... region two five
set anyway that i think it's
around that is by moving this country that what's the liquid in the small container
that came to the main content
to protect the five liters
move back into the main content
certain david it was hornets is in the ended main contender when i started
so that means i'm not good ninety two is here
ninety two's
and i've got three d tuesday
let's go to the next step let's just do it first of all take the small container
moderates
pour it back into here
and let's see how we got
so we've now got
and the large container ninety two's into smaller contend it's really just
the releases is really important
that's really just
is hough of what i really wants
i'm going to trial something here
uh... also recognize
nine
and haitians
there's a difference of all who wander heatedly
and that could be important to be able to add to the five nieces would you give me six
so there's some sort straight through some predictions i hope you've got some ideas as
well instead of the four th st and let's see what we can do from there
so there is the starting point of the four th st
we've got money to service get started
we've got three liters of this year
and what i'm going to do simply in the stick
is i'm going to take first releases and i'm going to transfer it into that contain
separate religious is no longer then three liters is sitting right here
so that's it
my next step three liters
i think it becomes clear what we're trying to do
is really going to try and gates
one detail lifting yet
that would be my next trip sarcastic number five
that's exactly what i'm going
under the pickup
the nine liters
to pick up
ninety twos and pull the country contents of this ninety choosing today which will lead
me which one you so let's do it
knew that in
i'm left with one liter
now that makes me pretty excited because if i do that
what i've got
i've got to have
this releases into this container
i'm going to need to
remainder into this country
leaving me with wine each year
modestly the model hasn't worked in well that stick with the simulation
these views because obviously main and being out of sorts
set that's got to the next step
uh... it's not as
practical is a great president i thought it would be
set let's move on to skip six i hope you can see what we got to do
we're going to take the pool containing kya
we're gonna move
from this
container
we're gonna fill up
the third concern about that one week on four from the bottom flow from the top
and we've not got
a scenario that i hope you can see
we've got quiet beaches in klia
we've got one lead to lift up there while you chat here
one teachers yeah
five leads is that he uh... and sixty to seventy let's just make sure you've got where we got
all that front
go back to the previous chip just to make absolutely sure that you you've got it
reinvent this container we've got eight legions
this content it we've got one liter
and initially in this country in a
we can't
we had mediators
so if i take the balance
of from here in today
i'm going to subtract choose me to subtract two beaches
which will give me the lively tuesday
to from and it was going to give me six which is what i've caught up with it
six
five and one
and we're almost done
we're almost home what are we going to do
what we've got to do you use the seventh step of the sal group until this problem
to go to take from this container
we've got to put it into here
'cause you've got sixty to seventy eight always go to do
is to pick this up
vivid across
and then you got
six meters in both containers
successes at least at sixty two seventy
now a problem like that once you've seen the solution what what christians can you lost
firstly we can asked question about the tools we use we've tried to model it you can do
diagrams and that's great kikuji containers we chose some recyclables plastic bottles
had you have problems with the neck and end up check and preps that's why that wasn't
you successful but it usually gets people involved in thinking about things
the next part of problem-solving to really make this meaningful that it's two ask the
question what if what if the containers were different shapes would still work whitehead
re austin other question would it not would work with a another set of numbers can learn
this perhaps try and find and none of us in our area where you can use the same sort of
idea to get some solutions well i hope that's provoked you're thinking about some problem
solving before we got a this one last thing that i want to do and that's to give you a
christmas challenge
here we go to church
*** for today christmas challenge
applying what we've learned so far here's your christmas challenge distribute twenty
liters of water into two jobs
each holding today new teachers
but you've only got three jaws to do it you've got a ship and visa job and a thirteen beach
a job
and at the stocks those of us full of water
and you've got one entry nineteen lead to job
hope you have fun with the christmas challenge seem great being with you this afternoon sorry
we couldn't chachi would be great to have its own interaction from the all the best
dr