Analytic Geometry extends students' geometric knowledge and introduces them to quadratic expressions, equations, and functions, and helps them explore the relationship between these and their linear and exponential counterparts. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include extending the number system; quadratic functions and modeling; expressions and equations; applications of probability; similarity, right triangle trigonometry, and proofs; and circles with and without coordinates.
This course supports all students as they simultaneously develop computational fluency, deepen conceptual understanding, and apply the eight Mathematical Practice Standards. Students begin each lesson by discovering new concepts through guided instruction, and they then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks help students synthesize their knowledge in novel, real-world scenarios that require them to make sense of multifaceted problems and persevere in solving them. Throughout the course, students are evaluated through a diversity of assessments specifically designed to prepare them for the content, form, and depth of Georgia's End of Course Test.
This course is built to the Common Core Georgia Performance Standards for Mathematics.