35720/35730 Geometry
Course Name: Geometry
Course Number: 35720/35730
Open to: Grades 9, 10, 11, 12
Length: 2 Semesters
Prerequisite: Algebra 1
Credits: 1 credit
Course content: Geometry aims to formalize and extend the geometry that students have learned in previous courses. It does this by focusing on establishing triangle congruence criteria using rigid motions and formal constructions, building a formal understanding of similarity based on dilations and proportional reasoning, developing the concepts of formal proof, exploring the properties of two- and three-dimensional objects, working within the rectangular coordinate system to verify geometric relationships, proving basic theorems about circles, and using the language of set theory to compute and interpret probabilities for compound events. On a daily basis, students in Geometry use problem solving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating rigorous arguments justifying their thinking. Students learn in collaboration with others, sharing information, expertise, and ideas. The course is well balanced between procedural fluency (algorithms and basic skills), deep conceptual understanding, strategic competence (problem solving), and adaptive reasoning (extension and transference). Topics covered during this course include shapes and transformations, angles and measurement, justification and similarity, trigonometry and probability, trigonometry and triangle toolkit, congruent triangles, proofs and quadrilaterals, polygons and circles, solids and constructions, circles and expected values.