Geometry B

Course Description

Uses the ASKME® model to present the most of the classical Euclidean geometry together with some topics of solid geometry (especially those emphasizing space perception). Offers the logical development of the subject from undefined terms, postulates, and definitions. (Prerequisite: Geometry A)

Required Course Materials

TI-83 graphing calculator

Course Organization

Chapter Movies. These animations will show you a problem that you will learn about throughout the unit.
Activities. The Activities are practice assignments. Each Activity is a non-graded exercise that allows you to build your knowledge and identify your strengths and weaknesses. Generally, the Activities consist of:
  Introduction: A short introduction to the Activity.
  Review Exercises: Short review assignments that you submit for a grade. These are required and must be completed to finish the course.
  Tutorials: Animations that teach concepts and ideas.
  Guided Practice Questions: Questions to answer with the help of hints.
Graded Assignments. Graded Assignments are the tasks you will submit to your instructor for a grade. Each assignment contains specific information about how your work will be assessed and how credit will be given for your responses. The average of your assignments will count for 75 percent of your course grade.

Final Examination

The final examination is comprehensive; it covers the material from all of the units. To pass the course, you must receive a grade of 70 percent or better. You can apply to take the Final Exam after 100 percent of your graded assignments have been submitted, and at least 70 percent have been graded and returned to you.
Format: Multiple-choice, short answer
Time Allowed: 3 hours
Materials Allowed: 2 pencil, graphing calculator, computer-graded answer sheet provided

Course Outline

Total Number of Units: 3
Total Number of Activities: 32
Total Number of Graded Assignments: 8
Instructor Graded (Online submission): 8

Unit 4: Similarity
Chapter 1: Similar Polygons
  Activity 1: Dilations and Similarity
  Activity 2: Proving Triangles Similar
  Activity 3: Using Similar Triangles
Chapter 2: Right Triangles
  Activity 4: The Pythagorean Theorem
  Activity 5: Special Right Triangles
  Activity 6: Right Triangle Trigonometry

Unit 5: Planar Figures
Chapter 1: Properties of Quadrilaterals
  Activity 1: Properties of Parallelograms
  Activity 2: Proving Quadrilaterals are Parallelograms
  Activity 3: Properties of Special Parallelograms
  Activity 4: Trapezoids and Kites
  Activity 5: Coordinate Proof
Chapter 2: Circles
  Activity 6: Circles in the Coordinate Plane
  Activity 7: Properties of Tangents
  Activity 8: Arcs, Chords, and Central Angles
  Activity 9: Angles Related to Circles
  Activity 10: Segment Lengths in Circles
Chapter 3: Areas of Plane Figures
  Activity 11: Areas of Parallelograms, Triangles, and Trapezoids
  Activity 12: Areas of Regular Polygons
  Activity 13: Circles: Circumference and Arc Length
  Activity 14: Circles: Areas, Sectors, and Segments

Unit 6: Three-dimensional Figures
Chapter 1: Representing 3-D Figures
  Activity 1: Prisms and Cylinders in the Real World
  Activity 2: Pyramids and Cones in the Real World
  Activity 3: Spheres and Plane Sections
  Activity 4: Views of a Figure
  Activity 5: Nets
Chapter 2: Surface Areas and Volumes
  Activity 6: Surface Area of Cylinders and Prisms
  Activity 7: Surface Area of Pyramids and Cones
  Activity 8: Volumes of Cylinders and Prisms
  Activity 9: Volume of Pyramids and Cones
  Activity 10: Volume and Surface Area of a Sphere
Chapter 3: 3-D Coordinates and Dimensional Change
  Activity 11: Three-dimensional Coordinates
  Activity 12: Dimensional Changes