Today was our first full day of the Construction Unit. Students turned in their Daisy Designs (described in previous post with link available in "Link to Resources" for extra help). Many have already been posted on the wall in the hallway. This is a 5 pt grade. Bring next block for no penalty.
All students should now have access to a compass to use outside of class. Please go to Office Depot or Hobby Lobby right away if you have not gotten one yet. I only have 2 left to sell for $1.50 each. The compass needs to hold a radius well.
HW #13, due next block, is p 152:1-8. You will need a hard copy textbook to do your constructions.
In class, we: practiced constructing a daisy in our notes. Then we realized that the same construction yields a bunch of equilateral triangles, a regular hexagon, a bunch of 60 and 120 degree angles. We learned about how Euclid used definitions, postulates, common notions, compass, and straightedge to prove deductively (sketch vs. draw vs construct). There are no numbers in constructions, so they can be used for deductive reasoning. We re-created Euclid's first postulate (link below) to learn how to construct an equilateral triangle, a 60 degree angle, and how that might lead to a perpendicular bisector. We also learned that you do not have to make the whole circles, that you can stop with arcs. We then practiced and took notes over copying segments, doubling segments, adding and subtracting segments, copying angles and doubling angles. Then we googled "mathopenref constructions" and watched animations of copying angles... the best resource possible for doing your homework. Use plenty of paper on the homework. Do not erase the arc marks you make with your compass (except in the textbook).
Everyone except 3rd period got to see their test scores.
Make-ups need to be completed right away. Absences in this unit will be difficult to overcome.
All students should now have access to a compass to use outside of class. Please go to Office Depot or Hobby Lobby right away if you have not gotten one yet. I only have 2 left to sell for $1.50 each. The compass needs to hold a radius well.
HW #13, due next block, is p 152:1-8. You will need a hard copy textbook to do your constructions.
In class, we: practiced constructing a daisy in our notes. Then we realized that the same construction yields a bunch of equilateral triangles, a regular hexagon, a bunch of 60 and 120 degree angles. We learned about how Euclid used definitions, postulates, common notions, compass, and straightedge to prove deductively (sketch vs. draw vs construct). There are no numbers in constructions, so they can be used for deductive reasoning. We re-created Euclid's first postulate (link below) to learn how to construct an equilateral triangle, a 60 degree angle, and how that might lead to a perpendicular bisector. We also learned that you do not have to make the whole circles, that you can stop with arcs. We then practiced and took notes over copying segments, doubling segments, adding and subtracting segments, copying angles and doubling angles. Then we googled "mathopenref constructions" and watched animations of copying angles... the best resource possible for doing your homework. Use plenty of paper on the homework. Do not erase the arc marks you make with your compass (except in the textbook).
Everyone except 3rd period got to see their test scores.
Make-ups need to be completed right away. Absences in this unit will be difficult to overcome.
3.1_notes_and_practice.pdf |