The World is a Stage and Everyone Has a Part in it.
Gramercy Arts High School
DENISE DICARLO, PRINCIPAL
40 IRVING PLACE, MANHATTAN, NY 10003Phone: 212-253-7076
School Name, Number, or Address
Math DepartmentBrigid MoranMath Teacher7487480Katie O’BrienMath Teacher7027020Bill PsorasMath Teacher7467460
Investigate/Explore - Students will be given situations in which they will look for patterns or relationships between elements within the setting.
Discover - Students will observe relationships of perpendicularity, similarity after an investigation or exploration.
Conjecture - Students will make an overall statement, which they think is true, about the new discovery.
Reasoning - Students will engage in a process that leads to knowing something to be true or false.
Argument - Students will communicate, in verbal or written form, the reasoning process that leads to a conclusion. A valid argument is the end result of the conjecture/reasoning process.
Justify/Explain - Students will provide an argument for a mathematical conjecture. The argument will be written as a formal proof.
Proof - Students will present a valid argument, expressed in written form, justified by postulates, definitions, and theorems using properties of perpendicularity, parallelism, congruence, and similarity with polygons and circles.
Apply - Students will use a theorem or concept to solve a geometric problem.