Session ideas - date 11 July - lines and curves part 2 - leading to exploring curves

Kobon triangles (from Don Steward's blog)

I think we could start with a game of some kind that involves lines and intersections possibly. A couple of thoughts were kobon triangles or the line

Line multiplication method

multiplication technique.  Any ideas of ways to turn these into a game of some kind?  Or a different type of challenge like create two multiplications that equal 598.  One to think about.

I would like to look at mystic roses and investigate anything from the number of lines (could also do the handshake problem with this) (might be a good time to get out the number properties list too) shapes found inside and centre intersection or centre shape.


Possibly best to put the curve investigation on hold or save it for a time when it can be the sole focus. I think it would be good to have an activity that students could try themselves during exploration but may be better to save this session for another time.
Next session we could extend the last session by creating circles in circles, ellipses in rectangles and other curves.  It might be a good way to introduce parabolas at least in terms of how a thrown object makes an approximation to a parabola and look at the symmetry of it or get kids to extend certain curves.  exponential curves also?  Link to story ideas such as a number of missiles locked onto each other
updating their trajectory each second.  I've not managed to get that frame by frame breakdown working for the kids before but it might be a good opportunity for that.

Ending game?  Golf again?  That game where you take sticks out of a tube where they are holding up a ball would be a good one.  Does anyone have that (long shot. I know)?  I'll try to check a few charity shops.

Some way of recording what explorers are doing would be good to think about too.  I think we need to create some kind of passport and have stamps that can be qualified with different levels or colours?

Look forward to hearing your ideas.