median
don steward
mathematics teaching 10 ~ 16

Sunday, 15 January 2017

adding fractions procedure

the hope and intention of looping a presentation is for student's to attend to the structure of solution steps
the powerpoint needs to be downloaded for the animations to work

having introduced the procedure and indicated reasons for the steps, you might leave the powerpoint playing on the board
or use it to introduce the skill - asking students to discuss with their neighbour what is going on (and why)




Friday, 13 January 2017

equations with the as-yet-unknown on both sides





















the slides below are on a powerpoint that loops, hopefully highlighting the steps
(if it is downloaded)



Monday, 9 January 2017

Sunday, 8 January 2017

make a polygon










and another, that goes off the grid

quartering a 5 by 5 grid

hopefully being systematic, using some logic/reasoning, students can look to find all the ways to
quarter a 5 by 5 dotty grid with
(i) rotational symmetry order 4
(ii) rotational symmetry order 2
(iii) one line of symmetry

they could also find all 13 ways to half a 4 by 4 grid

the powerpoint for this












Friday, 6 January 2017

quadrilaterals on a grid

MathPickle (Gordon Hamilton in Calgary, Canada) have a task 'quadrilaterals on a grid' where students are asked to find special quadrilaterals on a 5 by 5 dotty grid with
(a) the biggest area and (b) the smallest area
with a restriction that the top left dot of the grid must be one of the quadrilateral's vertices























the task links to 'complete the quadrilateral'

MathPickle go on to consider a 9 by 9 dotty grid, with two fixed vertices, at (5, 2) and (1, 5)
this is presented on the MathPickle youtube (from 3.00 on) clip


Tuesday, 20 December 2016

congruent halves with rotation

an intention is that students not only find the congruent halves but also identify the centre for the 90 degree, clockwise rotation that maps one of the halves onto the other



Monday, 19 December 2016

order 4

order 4, rotational symmetry designs (11 by 11 grid):  






















or more intricate ones like Jamal Muhsin's:
(mostly 25 by 25 grid)


(a copy, based on the one below)




















or, for the even more adventurous, try some labyrinth tessellations

for order 4 patterns see Brian Eno's 77 million paintings (various locations)