don steward
mathematics teaching 10 ~ 16

Friday, 10 March 2017

fractions of rectangles

this is practice in areas of shapes
with the question reversed - given the area, what could the shape look like?

students will hopefully seek suitable base and height dimensions
(possibly forgetting that in a triangle the area involves halving)

some questions have two solutions
this can create opportunities to discuss why e.g. triangles with the same base and between two parallels have the same area

it's been suggested (thanks Tom) that you need blank grids on the back of each sheet

these could involve finding areas by dissecting a rectangle

the bottom left two can be justified visually

or you could involve surds

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