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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

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