1st/2nd Honors Geometry Skinny

What

1st/2nd Honors Geometry Skinny

When

5/2/2023

Standard Addressed:
MGSE.9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle (focus on quadrilaterals).


Learning Target/Success Criteria:
I can use coordinates to identify the most specific name of a quadrilateral.
I can prove the a parallelogram has 2 pairs of opposite sides parallel
I can prove that a rectangle has congruent diagonals or that adjacent sides are perpendicular.
I can prove that a rhombus has four congruent sides or perpendicular diagonals.
I can prove that a square has congruent diagonals and congruent sides (or perpendicular sides).

Introduction/Connection (Activator): TBD

Direct Instruction/Guided Practice:
Review bellringer
Review properties define special parallelograms (e.g. parallelogram has 2 pairs of opposite sides parallel and congruent). Guide students in deciding what properties would be the EASIEST to prove on the coordinate plane (e.g. its easier to prove that a parallelogram has 2 sets of opposite sides parallel using the slope formula than using the distance formula to 4 times to prove that opposite sides are congruent).
Guide students in completing Proving Parallelograms foldable (attached below)
If time, start Coordinate Quadrilaterals foldable (attached below)

Independent Practice/Collaboration/Differentiation:
Independent practice: various problems on foldable
Differentiation: Graphic organizers/foldable book, color-coding terms, cloze notes. One-on-one help for struggling students, accelerated practice for higher students.

Summarizer/CFU: round robin calling on students to describe the easiest/fastest way to prove various parallelograms on the coordinate plane.


Assignment: TBD.