don steward
mathematics teaching 10 ~ 16

Saturday, 18 February 2017

45 degree angles

a companion to isometric angles
and tangram angles

having a restricted set of angles, that are multiples of 45 degrees, provides opportunities to reason about the angles involved (on a grid) and the angle sums that
form the interior angles of polygons

a ppt is here

initial practice of multiples of 45 degrees angles:

tap on the end points
students call out the angles
(chanting in unison...)

create some polygons by fitting squares and isosceles right angled triangles together

some options

exploring the restricted set of quadrilaterals

what are the possibilities?

a sequence

how the sequence grows

another sequence

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