Unit 2 Lesson 7 (Wednesday 2/19)

  1. 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.
  2. Learning Objectives
    1. SWBAT: Identify/Use Inductive Reasoning
    2. SWBAT: Find Counterexamples to false conjectures
    3. SWBAT: Honors: Generalize conjectures (nth term)
    4. SWBAT: Use/Identify Conjunctions
    5. SWBAT: Use/Identify Disjunctions
    6. SWBAT: Determine Truth Value of Conjunctions and Disjunctions
    7. SWBAT: Read/Interpret  Venn diagrams
    8. SWBAT: Construct Venn diagrams
    9. SWBAT: Convert statements to conditionals
    10. SWBAT: Identify hypothesis/conclusions of conditionals
    11. SWBAT: Determine truth value of conditionals
    12. SWBAT: Write converse of a conditional
    13. SWBAT: Write inverse of a conditional
    14. SWBAT: Write contrapositive of a conditional
    15. SWBAT: Determine the truth value of related conditionals
    16. SWBAT: Determine truth value of biconditionals
    17. SWBAT: Identify/Use Deductive Reasoning
    18. SWBAT: Identify/Use Law of Syllogism
    19. SWBAT: Identify/Use Law of Detachment
    20. SWBAT: Determine the validity of a conclusion
    21. SWBAT: Identify and use basic postulates about points, lines, and planes
    22. SWBAT: Use algebra to write two-column proofs
    23. SWBAT: Use properties of equality to write geometric proofs
    24. SWBAT: Write proofs involving segment addition
    25. SWBAT: Write proofs involving congruence
    26. SWBAT: Write proofs involving supplementary and complementary angles
    27. SWBAT: Write proofs involving congruent and right angles
  3. Starting Class
    1. Mr. Volk will go over any questions pertaining to Geometry Homework Set 2.6.
    2. Mr. Volk will make remarks about Quiz 2.1.
  4. Lesson/Lecture Notes
    1. Warm Up:Warm up Wed/Thur
    2. Mr. Volk will provide lecture notes on the SmartBoard presenting material both narratively as well as interactively.
    3. The students will spend 5 minutes studying them silently.
    4. Mr. Volk will quiz the entire class orally over the new vocabulary.
    5. The students will work in partners on a practice (Wednesday WS 2 Wednesday WS 1) due at the end of class.
    6. If time remains after the Lecture and Practice, students will be allowed to start on their homework sets.
    7. The vocabulary can also be studied online Flashcards.
    8. {Extra Instruction on Logical Reasoning: Khan Academy}
  5. Guided Practice: Integrated during the notes and then practiced with whiteboards.
    1. {Extra Practice on Logical Reasoning: Khan Academy}
  6. Closing: Mr. Volk reminds students about the Geometry Homework Set 2.7 due on Thursday and offers any clarifying points.

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