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COURSE: PreAP Geometry Homework Calendar TEACHER: Robin Wetter UNIT 1: Chapter 1& 2 – Foundations of Geometry & Logical Reasoning WEEK 7: 10/7 – 10/11 S.E./TEKS Objective: Students will identify, name, and draw points, lines, segments, rays, angles, and planes. SE G.1.A Geometric structure, students will develop an awareness of the structure of mathematical system, connecting definitions and postulate. G.7.A Dimensionality and the geometry of location. Students will use one and two dimensional coordinate systems to represent points lines, rays, line segments and planes Objective: Students will use length and midpoint of a segment. Construct midpoints and congruent segments S.E.s G.2A Students will use constructions to explore attributes of geometric figures. G.2.B Students will make conjectures about angles, lines, segments and rays and determine the validity of the conjectures, choosing from a variety of approaches. Students will construct and justify statements about geometric figures and their postulates. G.3.B. Students will construct & justify statements about geometric figures and their postulates. G.7.C. Students will develop & use formulas involving midpoint. TEACHER / STUDENT ACTIVITIES Lesson: Activity 1.3 The Axiomatic System. Understanding proofs, definitions and logical reasoning. (chapter 1 & 2 in the book) Homework: Activity 1.3 page 23-29 Vocabulary: Ray, collinear points, Coplanar Points, Axiomatic System, Properties of equality, proofs, conditional statements, hypothesis, and conclusion, converse, inverse and contrapositive, logically equivalent, truth value. Lesson: Activity 1.3 The Axiomatic System. Understanding proofs, definitions and logical reasoning. (chapter 1 & 2 in the book) QUIZ: Page 30 Check your understanding. DUE Friday Homework: Finish Activity 1.3 Due Monday 10/14 Monday Vocabulary: Ray, collinear points, Coplanar Points, Axiomatic System, Properties of equality, proofs, conditional statements, hypothesis, and conclusion, converse, inverse and contrapositive, logically equivalent, truth value. Objective: Students will name and classify angles, measure Lesson: Activity 1.4 Using truth table and construct angles and angle bisectors. SEs G.1.A Geometric with conditional statements and structure, students will develop an awareness of the structure of mathematical disjunction and conjunctions. system, connecting definitions and postulate. G.1.B Students will recognize Homework: Activity 1.4 page 31- 36 the historical development of geometric systems and know mathematics is problems 1-16 developed for a variety of purposes. G.2A Students will use constructions to explore attributes of geometric figures. G.2.B Students will make conjectures Vocabulary: Truth Tables, Conjunctions and Disjunctions. about angles, lines, segments and rays and determine the validity of the conjectures, choosing from a variety of approaches. Students will construct and justify statements about geometric figures and their postulates. Objective: Identify adjacent, vertical, complementary, & Supplementary angles. Find measures of pairs of angles. Lesson: Activity 1.4 Finishing truth tables, disjunctions and conjunctions. SEs G.1.A Geometric structure, students will develop an awareness of the structure of mathematical system, connecting definitions and postulate G.2.B Students will make conjectures about angles, lines, segments and rays and determine the validity of the conjectures, choosing from a variety of approaches. FRIDAY NO SCHOOL TEACHER CONFERENCES M O N D A Y Objective: Students will apply formulas for perimeter, area, and circumference. SEs G.1.A Geometric structure, students will develop an awareness of the structure of mathematical system, connecting definitions and postulate. G.1.B Students will recognize the historical development of geometric systems and know mathematics is developed for a variety of purposes. G.8.A Students will find areas of regular geometric shapes. QUIZ: DUE BY END OF PERIOD QUIZ page 36 Check your understanding along with page 30 Check your Understanding .