these are based on an idea by Naoki Inaba
he produced the 'area mazes' as well as many other puzzles
he appears to refer to these shape tasks as Zukei puzzles (42 of them)
there are translations into the English/American names for shapes, done by Sarah Carter (who introduced them to a wider audience via her Math = Love blog)
she posted her translation from Japanese on Sat Dec 17th, 2016
one version of these is here
for those with tablet/laptop availability, Desmos have an activity builder (tool) that can be used when looking for the shapes in the original (Naoki Inaba) tasks, here
students can either construct lines or draw freehand and these steps can be reversed, or erased
many thanks to all of the above people
for my versions, there almost certainly needs to be a presentation/reminder about how you know lengths are the same - using the same or rotated vectors (or by involving pythagoras)
and how you can tell that lines are parallel or perpendicular
this is highly likely to involve vectors (maybe calling it a journey between two points)
join four dots to make a shape, as specified for a particular row
other dots are there to create the puzzle
some of the shapes are tilted
I've tried to create puzzles that have just one solution but I may well have overlooked some options...
(please let me know via the email address, bottom right)
for my shapes, in this task I have chosen not to involve special examples of e.g. a parallelogram should be a general example rather than a rhombus, rectangle or square
a ppt is here
median
don steward
mathematics teaching 10 ~ 16
don steward
mathematics teaching 10 ~ 16
Showing posts with label puzzles. Show all posts
Showing posts with label puzzles. Show all posts
Monday, 16 December 2019
Thursday, 1 February 2018
Wednesday, 19 July 2017
maths jigsaw
the shapes fit together to make a square (on the 5 by 5 dotty grid)
I'm fairly confident that you just need to rotate some of the shapes (mentally or otherwise) to fit them together i.e. you do not need to reflect/flip them
a related task:
fill up a 7 by 7 grid with the shapes indicated
the whole area should be covered
students could be asked to find alternatives
some of the questions have a few possibilities
e.g. for question 5 (there may well be more...) :
I'm fairly confident that you just need to rotate some of the shapes (mentally or otherwise) to fit them together i.e. you do not need to reflect/flip them
a related task:
fill up a 7 by 7 grid with the shapes indicated
the whole area should be covered
some of the questions have a few possibilities
e.g. for question 5 (there may well be more...) :
Monday, 21 November 2016
area mazes
these puzzles are very similar to those produced by Naoki Inaba, a prolific puzzle composer
they were featured in the Guardian by Alex Bellos on 3rd August 2015 and in the NY Times on 17th August 2015
the puzzles can all be done using integers
once the puzzles have been done it can be interesting to use fractions to justify lengths or areas
they were featured in the Guardian by Alex Bellos on 3rd August 2015 and in the NY Times on 17th August 2015
the puzzles can all be done using integers
once the puzzles have been done it can be interesting to use fractions to justify lengths or areas
Sunday, 31 July 2016
number puzzles
it may be helpful to have numbers (e.g. on card) to move around
there is an added dimension/extension of proving various statements, usually connected to the sum of the numbers used and those numbers that are in more than one line
Graeme Brown did some Excel versions of four of these puzzles (the first three and hollow triangle (i))
these can be found at nrich 5512
there is an added dimension/extension of proving various statements, usually connected to the sum of the numbers used and those numbers that are in more than one line
Graeme Brown did some Excel versions of four of these puzzles (the first three and hollow triangle (i))
these can be found at nrich 5512
Friday, 5 December 2014
number braids
an article by Richard Bennett appeared in the June 1976 edition (075) of Mathematics Teaching, published by the ATM
he called them 'number plaits' rather than braids
the 'triangle totals' must be in smallest to largest order going from left to right
a variety of 'triangle totals' are (usually) possible
why is there no variety of 'triangle totals' for the 1 to 6 case?
and of course you could carry on...
6 totals occur due to the braids...
he called them 'number plaits' rather than braids
the 'triangle totals' must be in smallest to largest order going from left to right
a variety of 'triangle totals' are (usually) possible
why is there no variety of 'triangle totals' for the 1 to 6 case?
and of course you could carry on...
6 totals occur due to the braids...
Sunday, 13 July 2014
river crossing
some puzzles with a long history, variations appearing in many cultures
there are phone aps for several of these
a flash version of this at onlybestflash
see wikipedia article
NRICH 5916 goes full screen
there are phone aps for several of these
a flash version of this at onlybestflash
see wikipedia article
NRICH 5916 goes full screen
Tuesday, 4 March 2014
Monday, 9 September 2013
Friday, 14 June 2013
Saturday, 11 August 2012
Thursday, 14 June 2012
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