Honors Geometry Fall 2004

Unit 2 – Reasoning in Geometry

Lesson	Topic	Read and Take Notes	Class work	Assignment
2.1	An Introduction to Proofs	Pg 80-82	Notes/Examples Guided Skills Practice Pg 83/ #6-8	(2.1) Page 83-86/ #9-12, 22-28, 33-39
2.2	An Introduction to Logic	Pg 90-93	Notes/Examples Guided Skills Practice Pg 94/ #6-8	(2.2) Page 95-97/ #13-37 odd, 38 Enrichment Masters, 2.2, page 9
2.3	Definitions	Pg 99-101	Notes/Examples Guided Skills Practice Pg 102/ #6-7	(2.3) Page 103-105/ #9-29 odd
12.1	Truth and Validity of Logical Arguments	Pg 768-771	Notes/Examples Guided Skills Practice Pg 772/ #6-9	(12.1) Page 773-774/ #11-27 odd, 32-36
12.2	And, Or, and Not, in Logic	Pg 776-778	Notes/Examples Guided Skills Practice Pg 779/ #9,10	(12.2) Page 779-781/ #11-33 odd, 34,35
12.3	A Closer Look at the If-Then Statements	Pg 784-787	Notes/Examples Guided Skills Practice Pg 788/ #6-9	(12.3) Page 788-790/ #11, 14-17,21,25,26,27
2.5	Conjectures That Lead to Theorems	Pg 117-120	Notes/Examples Guided Skills Practice Pg 121/ #7	(2.5) Page 121-124/ #11,13,15,17-24, 39-43
IG	Instructional Guide Lesson		Notes/Examples: deductive reasoning and valid arguments	Worksheet – complete logical chains
12.4	Indirect Proof	Pg 791-793	Notes/Examples Guided Skills Practice Pg 794/ #7-10	(12.4) Page 794-795/ #13,15,17,34,36,37,38

There may be additions to the assignments so you need to pay attention to directions in class

U1assign 2004

Indicators

2.2.3 use inductive or deductive reasoning

2.2.3.a define and apply deductive reasoning.

2.2.3.b define and apply inductive reasoning.

2.2.3.c distinguish between inductive and deductive reasoning.

2.2.3.d develop direct proofs using a paragraph, flowchart, or 2-column format.

2.2.3.e develop indirect proofs using paragraph or 2-column format.

2.2.3.2 construct a logical argument.

2.2.3.3 determine the validity of a logical argument using truth tables.

2.2.3.4 solve problems deductively or inductively using the structure of logic.

2.2.3.5 write and interpret conditional statements including the converse, inverse and contrapositive.

Essential Vocabulary:

Adjacent angles And, or, not

Antecedent Biconditional

Conclusion Conditional

Consequent Contradiction

Contrapositive Converse

Deductive Definition

Direct proof Euler diagram

Hypothesis Indirect proof

Inductive Invalid

Inverse Logic

Logically equivalent Modus Ponens

Modus Tollens Negation

Premise Proof

Theorem Transitive

Truth table Valid

Vertical angles