Mathematics

 Math Department Brigid Moran Math Teacher 748 7480 Katie O’Brien Math Teacher 702 7020 Bill Psoras Math Teacher 746 7460

GROUP GOALS

Each of these terms is an important component in developing a student’s mathematical reasoning ability.  The class goals will be to reflect the different stages of the reasoning process as follows.

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.

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