Middletown Public Schools Geometry Scope and Sequence Unit 1 – Transformations and the Coordinate Plan 4 Weeks September 16 instructional days (+3 instructional days, 1 testing) Standards Congruence Experiment with transformations in the plane. Expressing Geometric Properties with Equations Use coordinates to prove simple geometric theorems algebraically Unit 2 – Congruence, Proof and Constructions 5 Weeks October/November 20 instructional days (+3 instructional days, 1 testing) Congruence Understand congruence in terms of rigid motions. Prove geometric theorems. Unit 3 – Polygons 4 Weeks November/December 16 instructional days (+3 instructional days, 1 testing) Congruence Prove geometric theorems. Make geometric constructions. Unit 4 – Similarity, Proof and Trigonometry January/February 20 instructional days (+3 instructional days, 1 testing) Similarity, Right Triangles, and Trigonometry Understand similarity in terms of similarity transformations. Prove theorems involving similarity. Define trigonometric ratios and solve problems involving right triangles. Apply trigonometry to general triangles. 5 Weeks Modeling with Geometry Apply geometric concepts in modeling situations. Unit 5 – Circles and other Conic Sections 4 Weeks February/March 16 instructional days (+3 instructional days, 1 testing) Circles Understand and apply theorems about circles. Find arc lengths and areas of sectors of circles. Expressing Geometric Properties with Equations Translate between the geometric description and the equation for a conic section. Use coordinates to prove simple geometric theorems algebraically. Unit 6 – Extend to Three Dimensions April/May 16 instructional days (+3 instructional days, 1 testing) Geometric Measurement and Dimension Explain volume formulas and use them to solve problems. Visualize relationships between two-dimensional and three-dimensional objects. 4 Weeks Modeling with Geometry Apply geometric concepts in modeling situations Unit 7 – Applications of Probability May/June 3 Weeks 12 instructional days (+3 instructional days, 1 testing) Statistics and Probability Develop understanding of statistical variability. Summarize and describe distributions.