Notes from the IWB Network
Meeting – Weds 4th July 2012
Present:
Kathryn, Janet, Louise, Simon, Rachel (Cottenham), Glenn
(St Peters), Mike (Linton), Paul (Longsands), Sarah (Ely), Fran, Alissa
(Parkside), Mark (Comberton)
Thanks to Rachel for hosting the meeting.
The focus of the session was Algebra.
Mark:
A photo-finish from the Athens Olympics 100m. Asking what this shows (without revealing the
source) provides some interesting discussion:
How do we know it is a sprint?
What do the vertical lines show?
How do we know who won?
How do we know, from this
picture, who came second? (we don’t)
How many runners are there?
Up to this point we had only used it as an image, so we
discussed how to use the board to enhance the discussion.
Use
the camera tool to take a picture of one of the runners and move it to help
estimate how far behind the final runner is.
Demonstrate
that the width of the lanes can’t be used to help decide the margin of victory.
Rachel:
Rachel shared an nrich problem (http://nrich.maths.org/7283) that works
very well when the pieces are created as separate rectangles on the IWB because
they can be moved around to show the different possibilities.
The questions posed by nrich (and others) were typed on a
slide for pupils to use.
Sarah:
Sarah uses geometrical diagrams to allow pupils to work
on algebraic expressions. For example,
start with a square with area x and a
quarter circle (radius the same as the side of the square) with area y.
Then make other diagrams. Eg the
area of a semi-circle is 2y, etc.
We explored how to make the fragment that has area (x – y)
made by subtracting the quarter circle from the square.
Alissa:
Alissa shared a file that involved balancing animal
pictures as a way of introducing and exploring simultaneous equations. This worked very well.
Glenn:
Glenn showed a way of helping pupils to understand what
is going on when trial and improvement is carried out. He gave an example using n2 + n =
25, showing a numberline from 0 to 10 and removing the sections that clearly
didn’t work until he was left with the 4-to-5 section.
Then he had a new numberline that ran from 4 to 5 in
tenths and removed sections of this.
We discussed whether the zoom function on SMART could be
helpful.
Mike:
Mike described a way of helping pupils not to be misled
into trying to simplify further an expression that is already in its simplest
form. For example, to show that 3x+2 is not identical to 5x, Mike draws a line that he labels as
being of length 1, another line (of a different, non-integer length) that he
labels x and then clones these and
makes a line to demonstrate the length 3x+2
and another, below it, to demonstrate 5x. The lines are different.
An extension to this can show that x2 + 3x is not
the same as 4x2
Rachel:
Using photographs of celebrities Rach used the camera
tool to take a picture of one half, copied and reflected it and used this to
test the idea that symmetrical faces are considered to be more attractive.
She then allowed pupils to use photos of themselves …
Next year:
This was the final meeting for this academic year.
Next year we will meet on four occasions as usual. Cottenham, Parkside and Comberton all
indicated a willingness to host a meeting.
Thanks to all for their input during the year.