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# Geometry Geometry

High School

Mathematics

Course Description:

The fundamental purpose of the Geometry course is to formalize and extend students’ geometric experiences from the middle grades. In this Geometry course, students explore more complex geometric situations and deepen their explanations of geometric relationships, presenting and hearing formal mathematical arguments. Students will establish criteria for congruence of triangles based on rigid motions; establish criteria for similarity of triangles based on dilations and proportional reasoning; informally develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to the coordinate plane; and prove basic geometric theorems; and (6) extend work with probability.

Semester 1

From HMH Into Geometry

Unit 1: The Essentials of Geometry
Module 1: Geometry in the Plane
Module 2: Tools for Reasoning and Proof

Unit 2: Parallel and Perpendicular Lines
Module 3: Lines and Transversals
Module 4: Lines on the Coordinate Plane

Unit 3: Transformations
Module 5: Transformations that Preserve Size and Shape
Module 6: Transformations that Change Size and Shape

Unit 4: Triangle Congruence
Module 7: Congruent Triangles and Polygons
Module 8: Triangle Congruence Criteria

Unit 5: Relationships Within Triangles
Module 9: Properties of Triangles
Module 10: Triangle Inequalities

Semester 2

Note: if the following section is blank the course is 1 semester long

Unit 6: Quadrilaterals, Polygons, and Triangle Similarity
Module 12: Similarity

Unit 7: Right Triangle Trigonometry
Module 13: Trigonometry with Right Triangles
Module 14: Trigonometry with All Triangles

Unit 8: Circles
Module 15: Lines that Intersect Circles
Module 16: Relationships in Circles
Module 17: Circumference and Area

Unit 9: Surface Area and Volume
Module 18: Surface Area
Module 19: Volume

Unit 10: Probability
Module 20: Probability of Multiple Events
Module 21: Conditional Probability and Overlapping Events

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