# :: High School Courses

## 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.

### 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.
Time Allowed: 3 hours

### Course Outline

Total Number of Units: 3
Total Number of Activities: 32
Total Number of Graded Assignments: 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
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

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