Download Geometry CCLS Changes Units I and II

Unit I: Geometric Relationships
*take out parallel planes and lines perpendicular to a plane. (all the 3-D material)
*Start proofs using parallel lines, transversals, and angles (do this now instead of
during Quads chapter)
Prove theorems from G.CO- 9: vertical angles are congruent, when a
transversal crosses parallel lines, alternate interior angles are congruent.
Unit II – Logic and Proofs
*for all units when you prove theorems, should we use paragraph format??
Logic and polygons gone
Congruent Triangles:
Keep it the same
Similar Triangles:
Add in:
1. Prove Triangle Midsegment Theorem (G.CO.10)
2. Define Trig Ratios and solve problems using right triangles (G.SRT.6)
a. If two triangles are similar, the trig ratios for each pair of
corresponding angles will be the same.
3. Prove Triangle Proportionality theorem and it’s converse (G.SRT.4)
4. Prove Pythagorean Theorem using similar triangles (draw in altitude to
hypotenuse, and set up ratios between the similar triangles) (G.SRT.4)
**on outline are G.SRT.1 really covered here? Shouldn’t it be more in
Transformations unit?
Triangles Properties:
Add in:
1. Prove sum of the interior angles of a triangle is 180 degrees (G.CO.10)
2. Prove base angles of an isosceles triangle are congruent (G.CO.10)
Quadrilaterals:
G.CO.11 – do we actually prove the theorems about quads?? (opposite sides
congruent, opposite angles congruent , the diagonals bisect each other, and
diagonals of a rectangle are congruent)
**Some of the proofs that “prove a theorem”, would be easier as a coordinate
geometry proofs. Therefore if you teach coordinate geometry as a unit after this
proof unit (according to the outline it goes after quads) then some of these
theorem proofs would have to be moved to that unit.