Download Unit B: Reasoning in Geometry (2.1, 2.5, 2.6, and

Unit B: Reasoning in Geometry (2.1, 2.5, 2.6, and Logic)
□ I can use inductive reasoning to solve problems.
□ I will recognize the uses of inductive reasoning in the real-world.
□ I will use inductive reasoning to find the next term in a number or picture pattern.
□ I can use basic principles of logic and reasoning.
□ I will identify the hypothesis and conclusion of a conditional statement.
□ I will write the converse, inverse, and contrapositive of a conditional statement.
□ I will determine the truthfulness of a statement by determining if a counterexample exists.
□ I will write a biconditional statement, when applicable.
□ I will use Law of Detachment and Law of Syllogism to make conclusions.
□ I can recognize and use the relationships between the angles formed by two intersecting
lines.
□ I will use the Linear Pair Conjecture to find the measures of angles.
□ I will use the Vertical Angles Conjecture to find the measures of angles.
□ I will use algebra properties to solve equations and find missing values.
□ I can recognize and use the relationships between the angles formed by a transversal
cutting parallel lines.
□ I will use the Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles
Conjectures (Parallel Lines Conjecture) to find the measures of angles.
□ I will use the converse of the Parallel Lines Conjecture to determine if lines are parallel.
Key Vocabulary and Concepts
alternate exterior angles
alternate interior angles
biconditional statement
conditional statement
conjecture
contrapositive
converse
corresponding angles
if and only if
inductive reasoning
Conjectures
Linear Pair Conjecture
Vertical Angles Conjecture
Corresponding Angles Conjecture
Alternate Interior Angles Conjecture
Alternate Exterior Angles Conjecture
Parallel Lines Conjecture
Converse of Parallel Lines Conjecture
Online Textbook
http://math.kendallhunt.com
Online Resources
classpass: elliott12
inverse
Law of Detachment
Law of Syllogism
transversal
Information on Inductive vs. Deductive Reasoning
http://tutorfi.com/Math/inductivevsdeductivereasoning
Information on Conditional and Biconditional Statements
http://www.regentsprep.org/Regents/math/geometry/GP1/indexGP1.htm
Practice writing conditional statements
http://www.khanacademy.org/math/root/logical-reasoning/e/conditional_statements_2
Practice for Biconditional Statements
http://viking.coe.uh.edu/~jvanhook/geometry/chapter2/unit2lesson4ws.pdf
Converse, Inverse, and Contrapositive
http://hotmath.com/hotmath_help/topics/converse-inverse-contrapositive.html
Practice with converse, inverse, and contrapositive
http://www.khanacademy.org/math/root/logical-reasoning/e/converse_inverse_and_contrapositive
Parallel Lines and Special Angles
http://www.freemathhelp.com/feliz-parallel-lines.html
Angles formed between transversals and parallel lines
http://www.khanacademy.org/math/geometry/angles/v/angles-formed-between-transversals-and-parallel-lines
Interactive Lesson with Parallel Lines and Special Angles
http://www.mathsisfun.com/geometry/alternate-exterior-angles.html
Animation of Corresponding Angles and Parallel Lines
http://www.txar.org/training/materials/Geometry/Applets/cone/transversal2.html
Youtube video(s) about Parallel Lines and Special Angles
http://www.youtube.com/watch?v=aJsdjwtTabk
Extension Exercises
Truth Tables
http://www.youtube.com/watch?v=98jBy8x6HHw
Finding the nth term
Section 2.2 in textbook
Mathematical Modeling
Section 2.3 in textbook
The Seven Bridges of Konigsberg Exploration
p. 120-121 in textbook
Sherlock Holmes and Forms of Valid Reasoning Exploration
p. 569-571 in textbook