We are beginning a new unit that should test around Oct 17-18. The big topic is "Constructions". There is much more to the unit that learning to do some things with the compass and straightedge. We are learning to lean on the idea of compass setting as a distance that is not associated with a number and can therefore be relied upon as a form of deductive reasoning. Today we read and re-created Euclid's first proposition: given a line segment, construct an equilateral triangle. Questioning led us to why it works.
The daisy designs were collected for 5 pts. We did a daisy design in our notes to construct a regular hexagon inscribed in a circle. And why it works.
We started our "construction tool belt" today. Our current basic skills are 1) copy a segment, 2) copy an angle, 3) construct an equilateral triangle or a 60 degree angle (same thing).
No new definitions or conjectures today. Homework requires a compass. p 145:1-8.
For problem 7 on the homework, make the triangle fairly big. Can you you "copying a segment" and "copying an angle" to copy a triangle?
Tests will be viewed next time.
The daisy designs were collected for 5 pts. We did a daisy design in our notes to construct a regular hexagon inscribed in a circle. And why it works.
We started our "construction tool belt" today. Our current basic skills are 1) copy a segment, 2) copy an angle, 3) construct an equilateral triangle or a 60 degree angle (same thing).
No new definitions or conjectures today. Homework requires a compass. p 145:1-8.
For problem 7 on the homework, make the triangle fairly big. Can you you "copying a segment" and "copying an angle" to copy a triangle?
Tests will be viewed next time.