Download Unit 1C: Geometric Reasoning and Proofs

Unit 1C: Geometric Reasoning and Proofs
□ I can identify and name important building blocks of geometry.
□ I will identify and name points, lines, planes, rays, and line segments.
□ I will use symbolic notation to describe points, lines, planes, rays, and line segments.
□ I can use special angles and postulates related to special angles.
□ I will calculate the complement and supplement of an angle.
□ I will classify adjacent angles, linear pairs, and vertical angles.
□ I will classify alternate interior and exterior angles and same side interior and exterior angles.
□ I will calculate the measures of angles using intersecting and parallel line properties.
□ I can complete proofs of geometric theorems.
□ I will use the addition and subtraction properties of equality.
□ I will use the reflexive, substitution, and transitive properties.
□ I will complete paragraph, two-column, and flow chart proofs.
□ I will prove theorems involving angles.
□ I will understand the difference between inductive and deductive reasoning.
□ I will use the Corresponding Angles Postulate.
□ I will prove theorems involving angles formed by parallel lines cut by a transversal.
Key Vocabulary Terms
adjacent angles
line segment
alternate exterior angles
linear pair
alternate interior angles
paragraph proof
collinear points
plane
complementary angles
point
congruent line segments
postulate
conjecture
ray
corresponding angles
same side exterior angles
deductive reasoning
same side interior angles
endpoint of a line segment
supplementary angles
endpoint of a ray
theorem
flow chart proof
two-column proof
inductive reasoning
vertical angles
line
Properties, Postulates, and Theorems
Addition Property of Equality
Alternate Exterior Angle Theorem
Alternate Interior Angle Theorem
Angle Addition Postulate
Congruent Complement Theorem
Congruent Supplement Theorem
Corresponding Angles Postulate
Linear Pair Postulate
Reflexive Property
Right Angle Congruence Theorem
Same Side Exterior Angles Theorem
Same Side Interior Angle Theorem
Segment Addition Postulate
Substitution Property
Subtraction Property of Equality
Transitive Property
Vertical Angles Theorem
Unit 1C Pacing Guide on reverse side
Note: Your teacher reserves the right to alter this plan as needed.
Date
Wed
9/28
Thurs
9/29
Fri
9/30
Mon
10/3
Tues
10/4
Wed
10/5
Thurs
10/6
Fri
10/7
Mon
10/10
Tues
10/11
Lesson Focus
Tools of Geometry
Types of Angles
Properties and Proofs
Constructing a Proof
Angles on Parallel Lines cut by a
Transversal
Inductive and Deductive Reasoning
Introduction to Geometric Proofs
Gallery Walk
Review Geometric Reasoning and Proofs
Quiz on Geometric Reasoning and Proofs
Homework