Day 104: Construction Projects

I was down for the count yesterday… There are various colds and forms of the flu going around school and I came across one of them; so yesterday there was no post. I am feeling better today and wanted to share geometry’s finished construction projects.

A quick rundown of the project:

First I asked them to recreate a few designs out of a packet of 50 so. Then, I challenged students to mess around with inscribed penta/hexagons and get creative in various intersections and arcs. In all, they had about two days in class to work on them plus a weekend. I am pumped about their original creations…

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Lots of other great ones as well!

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Day 43: Constructing Parallel Lines

Today in Geometry I asked students to draw a line then create another parallel to it.

There were a lot of crazy constructions.

Some students drew a line then used the opposite side of the straight edge to construct a parallel line. Others copied angles or used an insane amount of circles. Here’s one of those methods:

*Students were using a straight edge and compass

Start with a line segment

Day44

Construct a circle whose radius spans more than half the segment.

Day44.1

Copy that same circle, this time centered and the other endpoint. (they just made a perpendicular bisector…)

Day44.2

Copy the same circle again, but make it just touch point B and do the same for the A side also.

Day44.3Connect the first intersection of the circles to the third.

Day44.4

There are a few points that I am uneasy with here but this particular student created a parallel line; doing exactly what they were asked to do. They also created an isosceles trapezoid, which is pretty awesome.

Here is the big question… if this method were used on a test would you mark it correct?