G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include
a) identifying the converse, inverse, and contrapositive of a conditional statement;
b) translating a short verbal argument into symbolic form;
c) using Venn diagrams to represent set relationships; and
d) using deductive reasoning.
SWBAT: Identify/Use Inductive Reasoning
SWBAT: Find Counterexamples to false conjectures
SWBAT: Honors: Generalize conjectures (nth term)
SWBAT: Use/Identify Conjunctions
SWBAT: Use/Identify Disjunctions
SWBAT: Determine Truth Value of Conjunctions and Disjunctions
SWBAT: Read/Interpret Venn diagrams
SWBAT: Construct Venn diagrams
SWBAT: Convert statements to conditionals
SWBAT: Identify hypothesis/conclusions of conditionals
SWBAT: Determine truth value of conditionals
SWBAT: Write converse of a conditional
SWBAT: Write inverse of a conditional
SWBAT: Write contrapositive of a conditional
SWBAT: Determine the truth value of related conditionals
Mr. Volk will provide lecture notes on the white board presenting material both narratively as well as interactively.
The lesson will be structured and scaffolded in such a way that each student will be capable of both grasping the material as well as be intrigued and challenged by it at times during the lesson.
Finally, a question will be presented on the board for the students to complete as a sort of exit slip. If time remains after the lecture and exit slip, students will be allowed to start on their homework sets.
Time will be built into the block for students to meet with Mr. Volk about their grades or other matters.