Download Evangelical Christian Academy

Evangelical Christian Academy
Instructional Guide: Course Outline
Department: Mathematics
Course Title: Geometry
Course Length: 2 Semesters
Unit #2: Reasoning and Proof
Chapter 2
Unit Length: 16 class periods
Instructional Objectives:
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Make conjectures based on inductive reasoning and find counterexamples
Determine truth value of conjunctions and disjunctions; construct truth tables
Analyze if-then statements and write the converse, inverse and contrapositive
Use the Law of Detachment and the Law of Syllogism
Identify and use basic postulates about points, lines and planes
Write paragraph proofs
Use algebra to write two-column proofs
Use properties of equality in geometric proofs
Write proofs involving segment addition and segment congruence
Write proofs involving supplementary, complementary, congruent and right angles
Instructional Resources:
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Text: Glencoe Geometry, 2005
Protractor
Compass
Graph paper
Scientific calculator
Smart Board
Document camera
Biblical Integration: Please see this section in Unit 1.
Assessments:
 Class participation/discussion/presentations (Grammar thru Rhetoric)
 Overhead/class questions (Grammar thru Rhetoric)
 Partner work (Grammar & Logic)
 Homework (Grammar & Logic)
 Writing in Math (Logic & Rhetoric)
 Quiz (Grammar, Logic & Rhetoric)
 Test (Grammar, Logic & Rhetoric)
Geometry, Unit #2
Revised 5/3/2013 RCO
Page 1 of 2
Student Activities:
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Board work (Grammar thru Rhetoric)
Calculator activities (Grammar & Logic)
Individual & team projects (Grammar thru Rhetoric)
Modeling “real-world” problems (Grammar thru Rhetoric)
Homework (Grammar & Logic)
Team Problems (Logic & Rhetoric)
TI-83 Graphing calculator explorations (Grammar)
Geometry, Unit #2
Revised 5/3/2013 RCO
Page 1 of 2