Geometry Course

Geometry

Course Description: Geometry is the third course in Mathematics for High School students. On this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. The course includes the study of planes and three-dimensional figures. Logical thinking is explored through deductive and inductive methods. Topics include the geometry of points, lines and planes, properties of congruence and similarity, trigonometry, circles and spheres, coordinate geometry, area, and volume, and applications of probability. This course addresses the National Common Core Standards. This course is a 5 credit course.
Course Objectives:

UNIT 1
Constructions and Rigid Transformations

Constructions
Rigid Transformations
Evidence and Proof
Designs
UNIT 2
Congruence

Congruent Triangles
Proofs about Quadrilaterals
Putting It All Together
UNIT 3
Similarity

Properties of Dilations
Similarity Transformations and Proportional Reasoning
Similarity in Right Triangles
Putting It All Together
UNIT 4
Right Triangle Trigonometry

Angles and Steepness
Defining Trigonometric Ratios
UNIT 5
Solid Geometry

Cross Sections, Scaling, and Area
Scaling Solids
Prism and Cylinder Volumes
Understanding Pyramid Volumes
Putting it All Together
UNIT 6
Coordinate Geometry

Transformations in the Plane
Distances, Circles, and Parabolas
Proving Geometric Theorems Algebraically
Putting it All Together
UNIT 7
Circles

Lines, Angles, and Circles
Polygons and Circles
Measuring Circles
Putting It All Together
UNIT 8
Conditional Probability

Up to Chance
Combining Events
Related Events
Conditional Probability