[MWForum]Creating Fraction Materials

[Lauren Pacini]

Thanks, Mike!

I will see if I can get this far with the students!!

Lauren

--- Mike Sandy <mjsandy@btopenworld.com> wrote:

> Let me add a couple of points to Wendy's
> suggestions.
> 
> Any method for drawing a circle with MWLogo
> involves drawing a polygon.  If you are drawing a
> 360-
> sided polygon then the length of a side of the
> polygon
> will be approximately the length of segment of a
> circle
> of the same radius, subtending 1° at the centre.
> By simple proportion this is 2*pi*radius/360.
> This is a very good approximation.
> 
> to circle :r :n :d
> ; :n  and :d are the numerator and denominator
> ; of the fraction
>  pu cg home
>  make "s 2 * pi * :r / 360
>  pd fd :r lt 90 + .5 ;points turtle along polygon
> side
>  repeat round 360 * :n / :d
>    [fd :s lt 1]
>   home pu
> end
> 
> Alternatively use 2 turtles.
> One to draw the sides of the polygon, the other
> to find the vertices of the polygon.
> 
> to circle :r :n :d
>  ask[t1 t2][ht pu home] ; both turtles in the
> centre.
>  cg
>  t1, pd fd :r ; sets t1 on circle and draws side of
> sector
> t2,
>  repeat round 360 * :n / :d
>    [ lt 1 fd :r ; finds  next vertex
>     t1, setpos ask "t2 [pos] ; t1 draws line to next
> vertex
>     t2, bk :r] ;t2 returns to centre
>  t1, home ;t1 draws final side of sector
> end
> 
> 
> Mike
> 
> ----- Original Message ----- 
> From: "Lauren Pacini" <lrpacini@yahoo.com>
> To: <MWForum@lists.mathcats.com>
> Sent: Monday, September 13, 2004 8:19 PM
> Subject: [MWForum]Creating Fraction Materials
> 
> 
> > Our 6th Grade students have been asked to make a
> new
> > set of fraction materials (Montessori) for our
> Upper
> > Elementary classrooms (4th through 6th grades).
> >
> > The materials are a series of fractional circles
> with
> > a diameter of 20cm, ranging from 1/2 to 1/20 (180
> > degrees to 13 degrees).
> >
> > It is easy enough to do the job using Excel, but I
> > would like to try to use Microworlds 2.0. The
> students
> > use LOGO for geometric constructions, so this
> would be
> > an extension of that if it can be done.
> >
> > The bottom line is that they need to draw a circle
> > with a 20cm diameter and then insert the radii --
> all
> > with LOGO.
> >
> > Can that be done?
> >
> > If so, I want to work the students through the
> > discovery process to see if they can get there,
> but
> > first I have to know where "THERE" is!!
> >
> > Thanks, all!!
> >
> > Lauren Pacini
> > Ruffing Montessori School
> > Cleveland Heights, Ohio
> >
> >
> >
> >
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