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Honors Geometry Chapter 2 Syllabus All textbook answers are posted on Canvas. Students are expected to check answers before coming to class. Day Date Topic Tue Sep 6 Section 2.1 Inductive Reasoning Section 2.2 Finding the nth Term Vocabulary Revisited (Statement Reasons) Thur Sept 8 2.3 Mathematical Modeling 2.4 Deductive Reasoning Homework (due next class period) p. 98 #1, 3-13, 25-41 p.105# 1-8 p. 112 # 1-20 p.117 #14-35 Algebra Review #2 Due Monday! Mon Sept 12 Basics of Logic Logic Practice #1 + Review 2.5 Angle Relationships p. 125 # 1-11, 13-17, 19, 22-28 Wed Sept 14 2.6 Special Angles on Parallel Lines Algebra Proofs Logic Practice #1 Proof Intro Worksheet p.131 #1–10, 13–16, 19-22 p. 148 #12 Fri Sept 16 QUIZ 2.1 – 2.4 Basics Parallel Line Proofs Revisit Vocabulary (Statement Reasons) Tue Sept 20 Thur Sept 22 Review Chapter 2 Chapter 2 In Class Review Quiz Friday! Parallel Proof Practice Statement Reasons Logic Practice #2 p. 140 #1, 4-19, 24, 25 Extra Chp 1 and 2 Review Chapter 2 Test Thursday! p.136 #1–9 CHAPTER 2 TEST Slope Review READ page 135 Section 2.1 2.2 Indiana Standard GLP1 Understand and describe the structure of and relationships within the axiomatic system (undefined terms, definitions, axioms, postulates, methods of reasoning, and theorems). Understand the differences among supporting evidence, counterexamples, and actual proofs. GTS9 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. Practice Standard 2: Reason abstractly & quantitatively. Practice Standard 4: Model with mathematics. Learning Target Learn the definition of inductive reasoning. Use inductive reasoning to find the next term in a number or picture pattern. Sketch a cone section. Sketch a solid of revolution. (p.100 2527,30) Find the nth term for a linear function. Write a function rule. Apply inductive reasoning to finding patterns. Apply mathematical models to problem solving. Learn the handshake rule. 2.3 GLP1 Practice Standard 4: Model with mathematics. Practice Standard 8: Look for & express regularity in repeated reasoning. 2.4 GLP1 Practice Standard 2: Reason abstractly & quantitatively. Learn the definition of deductive reasoning. Learn the relationship between inductive & deductive reasoning. Explor. (p.631) GLP3 State, use, and examine the validity of the converse, inverse, and contrapositive of conditional and bi-conditional statements. Practice Standard 8: Look for & express regularity in repeated reasoning. Write and use the converse, inverse, and contrapositive of statements. Supplement: McDougal Geometry Section 2.1 p.71-78 2.5 GPL3 Prove and apply theorems about lines and angles, including the following: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and corresponding angles are congruent; when a transversal crosses parallel lines, same side interior angles are supplementary; and points on a perpendicular bisector of a line segment are exactly equidistant from the endpoints of the segment. Practice Standard 6: Attend to precision. GPL3 Practice Standard 1: Make sense of problems & persevere in solving them. Discover relationships between special pairs of angles. Prove vertical angles are congruent. 2.6 Algebra Skills 2 Practice Standard 6: Attend to precision. Explore relationships of the angles formed by a transversal cutting parallel lines. Prove alternate interior angles are congruent. (p.131 Example) Use a rule to relocate a figure. (p.134 23-25) Review slope as a measure of steepness and a rate of change.