Instructional Resources Tasks Additional Resources (Illustrative Mathematics) Back to: Geometry NC Math 1 NC Math 2 NC Math 3 Analytic & Euclidean Focus on coordinate geometry Focus on triangles Focus on circles and continuing the work Distance on the coordinate plane Congruence with triangles Midpoint of line segments Similarity Introduce the concept of radian Slopes of parallel and perpendicular lines Right triangle trigonometry Angles and segments in circles Prove geometric theorems algebraically Special right triangles Centers of triangles Parallelograms A Progression of Learning Integration of Algebra and Geometry Geometric proof and SMP3 Geometric Modeling Building off of what students know from An extension of transformational geometry Connecting analytic geometry, algebra, 5th 8th grade with work in the concepts, lines, angles, and triangles from functions, and geometric measurement to – coordinate plane, the Pythagorean 7th and 8th grade mathematics. modeling. theorem and functions. Connecting proportional reasoning from Building from the study of triangles in Students will integrate the work of 7th grade to work with right triangle Math 2, students will verify the properties algebra and functions to prove geometric trigonometry. of the centers of triangles and theorems algebraically. Students should use geometric reasoning to parallelograms. Algebraic reasoning as a means of proof prove theorems related to lines, angles, and will help students to build a foundation to triangles. prepare them for further work with geometric proofs.
Instructional Resources Tasks Additional Resources (Illustrative Mathematics) Back to: Geometry NC Math 1 NC Math 2 NC Math 3 Analytic & Euclidean Focus on coordinate geometry Distance on the coordinate plane Midpoint of line segments Slopes of parallel and perpendicular lines Prove geometric theorems algebraically Focus on triangles Congruence Similarity Right triangle trigonometry Special right triangles Focus on circles and continuing the work with triangles Introduce the concept of radian Angles and segments in circles Centers of triangles Parallelograms A Progression of Learning Integration of Algebra and Geometry Building off of what students know from 5th – 8th grade with work in the coordinate plane, the Pythagorean theorem and functions. Students will integrate the work of algebra and functions to prove geometric theorems algebraically. Algebraic reasoning as a means of proof will help students to build a foundation to prepare them for further work with geometric proofs. Geometric proof and SMP3 An extension of transformational geometry concepts, lines, angles, and triangles from 7th and 8th grade mathematics. Connecting proportional reasoning from 7th grade to work with right triangle trigonometry. Students should use geometric reasoning to prove theorems related to lines, angles, and triangles. Geometric Modeling Connecting analytic geometry, algebra, functions, and geometric measurement to modeling. Building from the study of triangles in Math 2, students will verify the properties of the centers of triangles and parallelograms.