Recall that it is always suggested to preview the text pertaining to the upcoming day’s discussion so that the time that you hear it in class is not your FIRST time hearing it!
Day / Lesson / HSCE* / Study / Assignment0 / Plan and Prepare / p. 70-71 / Read!
1 / 2.1 Use Inductive Reasoning / L3.1.1
L31.2
L3.1.3
L3.2.1
L3.3.2 / p. 72-74 / p. 75+ #1-22, 23-27 odd, 33
2 / 2.2 Analyze Conditional Statements / L3.2.1
L3.2.2
L3.2.3
L3.2.4
L3.3.3 / p. 79-82 / p. 82+ #1-30
3 / 2.3 Apply Deductive Reasoning / L3.1.1
L3.1.2
L3.2.1
L3.2.2
L3.2.3 / p. 87-89 / p. 90+ #1-10, 12, 15-19, 21, 22, 25-29
4 / 2.3 Extension:
Symbolic Notation & Truth Tables / L3.2.1
L3.2.2
L3.2.3
L3.2.4 / p. 94-95 / p. 95 #1-8
5 / 2.3 Extension:
Symbolic Notation & Truth Tables, cont. / L3.2.1
L3.2.2
L3.2.3
L3.2.4 / WS: Symbolic Logic Packet
6 / 2.4 Use Postulates & Diagrams / L3.1.3
G1.1.6 / p. 96-98 / p. 99+ #1-25, 39, 40
7 / 2.5 Reason Using Properties from Algebra / L3.3.2
L3.3.1 / p. 105-108 / p.108+ #1-25, 31-32
8 / 2.6 Prove Statements about Segments & Angles / L3.1.3
L3.3.1
G1.1.1
G1.1.6 / p. 112-115 / p. 116+ #1-12, 15-17, 19-20
9 / 2.6 Prove Statements about Segments & Angles / L3.1.3
L3.3.1
G1.1.1
G1.1.6 / p. 112-115 / p. 118+ #22-26
10 / 2.7 Prove Angle Pair Relationships / L3.1.3
L3.3.1
G1.1.1 / p. 124-127 / p. 127+ #1-14, 16-30
11 / 2.7 Prove Angle Pair Relationships, cont. / L3.1.3
L3.3.1
G1.1.1 / p. 124-127 / p. 130+ #38, 39, 42, 43, 44, 47
11 / Chapter Review / p. 133-134 / p. 103 Michigan Mixed Review
p. 132 Michigan Mixed Review
p. 134-137 Chapter Review
p. 138 Chapter Test
12 / Chapter 2 Exam / Chapter 3 – Day 0
*High School Content Expectations (HSCE) Descriptions
L3.1.1 Distinguish between inductive and deductive reasoning, identifying and providing examples of each.
L3.1.2 Differentiate between statistical arguments (statements verified empirically using examples or data) and logical arguments based on the rules of logic.
L3.1.3 Define and explain the roles of axioms (postulates), definitions, theorems, counterexamples, and proofs in the logical structure of mathematics. Identify and give examples of each.
L3.2.1 Know and use the terms of basic logic (e.g., proposition, negation, truth and falsity, implication, if and only if, contrapositive, and converse).
L3.2.2 Use the connectives “not,” “and,” “or,” and “if..., then,” in mathematical and everyday settings. Know the truth table of each connective and how to logically negate statements involving these connectives.
L3.2.3 Use the quantifiers “there exists” and “all” in mathematical and everyday settings and know how to logically negate statements involving them.
L3.2.4 Write the converse, inverse, and contrapositive of an “If..., then...” statement. Use the fact, in mathematical and everyday settings, that the contrapositive is logically equivalent to the original while the inverse and converse are not.
L3.3.1 Know the basic structure for the proof of an “If..., then...” statement (assuming the hypothesis and ending with the conclusion) and that proving the contrapositive is equivalent.
L3.3.2 Construct proofs by contradiction. Use counterexamples, when appropriate, to disprove a statement.
L3.3.3 Explain the difference between a necessary and a sufficient condition within the statement of a theorem. Determine the correct conclusions based on interpreting a theorem in which necessary or suffi cient conditions in the theorem or hypothesis are satisfied.
G1.1.1 Solve multi-step problems and construct proofs involving vertical angles, linear pairs of angles, supplementary angles,
complementary angles, and right angles.
G1.1.6 Recognize Euclidean geometry as an axiom system. Know the key axioms and understand the meaning of and distinguish between undefined terms (e.g., point, line, and plane), axioms, definitions, and theorems.