Download Chapter 2 - Union Academy Charter School

Geometry – Chapter 1: Tools of Geometry
– Chapter 2: Reasoning and Proof
Objectives:
1.1 Make conjectures based on inductive reasoning
1.2 See relationships between nets and 3D solids
1.2 Create isometric, orthogonal, and foundation drawings
1.3 Identify and name collinear points and planes
1.3 Use axioms and postulates to identify geometric relationships
1.4 Name and identify segments and lines
1.4 Identify parallel and skew lines
1.5 Find the measure of various segments
1.5 Use and understand the addition and subtraction postulate
1.6 Measure and classify various angles
1.7 Construct congruent segments and congruent angles
September 2 - 6
1.7 Construct perpendicular bisectors and angle bisectors
1.8 Create and utilize the distance formula
1.8 Create and utilize the midpoint formula
1.9 Find perimeter, area, and circumference of various shapes
2.1 Name conditional statements with hypothesis and conclusion
2.1 Find a counterexample
2.2 Connect conditional and converse into Biconditional statement
2.2 Write a definition as a Biconditional statement
2.3 Use deductive reasoning to reach a conclusion
2.3 Use the Law of Detachment
2.3 Use the Law of Syllogism
Time Line:
(9/2)
Labor Day Holiday
Assignment: Project 2
“Crest” Part I: Concept
(tasks &)
Day 23 (9/3)
Day 24 (9/4)
Day 25 (9/5)
Day 26 (9/6)
Review Chapter 1 Performance
Tasks: apply key concepts
Chapter 1 Unit Test “Tools of
Geometry” closed book; and
“Crest” project work session
Assignment: Review notes for
Chapter 1 Test (closed book);
complete “Cumulative Review” for
Chapter 1
Chapter 2.3 Deductive
Reasoning: discussion of
deductive reasoning, Law of
Detachment, Law of Syllogism
Assignment: Project 2 “Crest”
Part II: Implementation due 9/9
Chapter 2.1 and 2.2 Conditional
Statements: discussion of
conditional, hypothesis,
conclusion, counterexample,
definitions and biconditionals
Assignment: Project 2 “Crest”
Part II: Implementation due 9/9
Assignment: Project 2 “Crest”
Part II: Implementation due 9/9
Chapter 1 Vocabulary:
Inductive reasoning
Conjecture
Counterexample
Point
Space
Line
Collinear Points
Plane
Coplanar
Postulate
Axiom
Segment
Ray
Opposite Rays
Parallel lines
Skew Lines
Parallel planes
Coordinate
Congruent Segments
Midpoint
Angle
Acute Angle
Right Angle
Obtuse Angle
Straight angle
Congruent Angles
Complementary angles
Supplementary angles
Straightedge
Compass Vertical Angles
Adjacent Angles
Constructions
Straightedge
Compass
Net
Orthographic drawing
Isometric Drawing
Foundation Drawing
Constructions
Perpendicular Lines
Perpendicular Bisector
Angle Bisector
Perimeter
Area
Circumference
Coordinate Plane
Origin
Quadrant
Chapter 2:
Conditional
Hypothesis
Conclusion
Counterexample
Converse
Biconditional
Definition
Law of Detachment
Law of Syllogism