Finals week: I will be around Tuesday 9-3 and Wednesday 11-3 (with a break for lunch somewhere in the middle) to answer questions. The final is Thursday at 1:00 in the computer lab.
Monday | Wednesday | Friday |
Jan 26 Introductions. Patty paper investigation. Isosceles triangle problems Assn: Read/watch about Van Hiele
levels |
Discussion of reasoning from isosceles triangle problems
Angles, angle sum and triangle congruence theorems Assn: do and reflect on sec 4.3 # 12, 13 |
Flow chart proofs; scaffolding for proof.
Discussion of Van Hiele levels |
Feb 2 Flow chart vs two column proofs |
Discussions of proofs, and ways to support learning proof
reasoning |
Discuss the role of proof in geometry |
Feb 9 Concurrency: sec 3.7
Katie |
Concurrency: Centroid sec 3.8 Tiffany |
Van Hiele level 2 arguments,
|
Feb 16
polygon angle sum
5.1
Shilo |
Kites and trapezoids 5.3 Elliot |
Venn diagrams and quadrilaterals |
Feb 23midsegments
5.4
Amber |
Chords 6.1 LeeAnn |
Tangent lines
6.2
Andy |
March 2 . Arcs and angles 6.3
Kayla |
Circumference and arc length 6.5 Leah |
"Power" of a point Worksheet probs. |
Mar 9 TBA | star polygons | Midterm |
Spring Break | ||
Mar 23 Transformations and symmetry | tessellations 7.4 Shilo |
more tessellations 7.5 Katie |
Mar 30 still more tessellations 7.6 Amber |
composition of transformations 7.3
Me |
Area review |
April 6 Area
of reg polygons 8.4
Tiffany |
Circle area 8.5 Leah |
Surface area 8.7 Elliot |
April 13 Pythagorean Theorem
9.1
LeeAnn |
Pythagorean theorem and circles 9.6 Kayla |
TBA |
Apr 20 A problem of definitions: 3D shapes | Platonic solids & Euler's formula Andy
|
More Euler
|
Apr 27 more about composition of transformations |
more euler | 3D shapes as shadows |
May 4 surface area and isometric drawings | Similarity as scale factor with area |
Some topics that may be substituted in to replace other topics:
Self similar fractals for example
Star polygons for example
semi-regular tessellations for example
Conway tessellations (this is in the book--tessellations of Conway hexagons)
Pick's formula for example
platonic solids for example
duals of solids for example
3D shapes from shadows for example
Euler number, etc. see here and here
Symbolic logic This is in the book.
Miquel's theorem for example
basic symmetry groups for example
Wallpaper patterns/groups for example
Ceva's theorem (and Menelaus?) for example
Morley's thm for example
Trisection and paper folding see here, here and here
Symmedians for example