• ## GEOMETRY CP

Instructor: Octeau, J.

• # Syllabus

Westerly High School Geometry Syllabus 2016-2017 ---------------------------------------------------------------------   Instructor: Mrs. Octeau Location: Rm 307 Email: jocteau@westerly.k12.ri.us Course: Geometry CP Credits: 1 Course Description: This course blends the concepts and skills that must be mastered before enrollment in a college level Calculus course. This course includes the study of relations and functions, exponential and logarithmic functions, trigonometry, trigonometric functions, trigonometric identities, and equations.   Course Sequence:   GEOMETRY CP TOPICS SEMESTER 1 Quarter 1: - Unit 1.1: Geometric Foundations, Constructions, and Relationships o Points, lines, planes, angles (complementary, supplementary, vertical ∡, linear pair) o Parallel and perpendicular lines o Parallel lines and transversal (alt. int. ∡, same-side int. ∡, alt. ext. ∡, corresponding ∡ theorems and their converse) o Logic (conditional, converse, inverse, contrapositive, bi-conditional) o Inductive and deductive reasoning o Distance along a line, midpoint, angle and segment addition o Constructions (∡ bisector, ⊥ bisector, copying an ∡) o Triangle Sum Thm, Exterior ∡s Thm. - Unit 1.2: Transformations o Def. of rigid motion (isometry, congruence transformations) o Rules for Reflections (along x-axis, y-axis, y = x), Rotations (90°, 180°, 270°), Translations, Dilations o Scale factor problems for a dilation Quarter 2: - Unit 2.1: Triangle Congruence o Def. of congruence (if two ∆� are ≅, then all of their corresponding parts are ≅) o Prove thms using triangle congruence criterions (SSS, SAS, ASA, AAS, HL) and CPCTC o Def. of ∡ bisector and ⊥ bisector o Isosceles Triangles Thm. and its Converse o Midsegment of a triangle, median, altitude, centroid, orthocenter - Unit 2.2: Triangle Similarity o Identify triangle by its angles and sides o Def. of similarity (if two ∆� are ~, then all of their corresponding sides are proportional) o Similarity Criterions (AA, SA