PARCC Components Key Advances from Grades K–8 According to the Partnership for Assessment of Readiness for College and Careers (PARCC), these standards highlight major steps in a progression of increasing knowledge and skill. PARCC cited the following areas from which the study of the content in Geometry Unit 4 should progress: The skills that students develop in Algebra I around simplifying and transforming square roots will be useful when solving problems that involve distance or area and that make use the Pythagorean Theorem. In grade 8, students learned the Pythagorean Theorem and used it to determine distances in a coordinate system (8.G.6–8). In high school Geometry, students will build on their understanding of distance in coordinate systems and draw on their growing command of algebra to connect equations and graphs of circles (G-GPE.1). The algebraic techniques developed in Algebra I can be applied to study analytic geometry. Geometric objects can be analyzed by the algebraic equations that give rise to them. Some basic geometric theorems in the Cartesian plane can be proven using algebra. Fluency Recommendations According to the Partnership for Assessment of Readiness for College and Careers (PARCC), the curricula should provide sufficient supports and opportunities for practice to help students gain fluency. PARCC cites the areas listed below as those areas where a student should be fluent. G-GPE.4, 5, 7 Fluency with the use of coordinates to establish geometric results, calculate length and angle, and use geometric representations as a modeling tool are some of the most valuable tools in mathematics and related fields.
PARCC Components Key Advances from Grades K–8 According to the Partnership for Assessment of Readiness for College and Careers (PARCC), these standards highlight major steps in a progression of increasing knowledge and skill. PARCC cited the following areas from which the study of the content in Geometry Unit 4 should progress: The skills that students develop in Algebra I around simplifying and transforming square roots will be useful when solving problems that involve distance or area and that make use the Pythagorean Theorem. In grade 8, students learned the Pythagorean Theorem and used it to determine distances in a coordinate system (8.G.6–8). In high school Geometry, students will build on their understanding of distance in coordinate systems and draw on their growing command of algebra to connect equations and graphs of circles (G-GPE.1). The algebraic techniques developed in Algebra I can be applied to study analytic geometry. Geometric objects can be analyzed by the algebraic equations that give rise to them. Some basic geometric theorems in the Cartesian plane can be proven using algebra. Fluency Recommendations According to the Partnership for Assessment of Readiness for College and Careers (PARCC), the curricula should provide sufficient supports and opportunities for practice to help students gain fluency. PARCC cites the areas listed below as those areas where a student should be fluent. G-GPE.4, 5, 7 Fluency with the use of coordinates to establish geometric results, calculate length and angle, and use geometric representations as a modeling tool are some of the most valuable tools in mathematics and related fields.
Geometry_U4_UP_Connecting_Algebra_and_Geometry_Through_Coordinates_December_11.docx