SOL: G.1
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.

Learning Objectives

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.

{Extra Instruction on Logical Reasoning: Khan Academy}

Guided Practice: Integrated during the notes and then practiced with whiteboards.

{Extra Practice on Logical Reasoning: Khan Academy}

Closing: Mr. Volk reminds students about the Geometry Homework Set 2.5 due on Monday and offers any clarifying points.