Geometry A

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: Algebra 1)

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: 29
Total Number of Graded Assignments: 11
Instructor Graded (Online submission): 11

Unit 1: Geometry’s Window
Chapter 1: Modeling the World with Geometry
  Activity 1: Points, Lines, and Planes
  Activity 2: Segments and Distances
  Activity 3: Angles and Angle Measures
Chapter 2: Patterns, Patterns Everywhere
  Activity 4: Perpendicular Bisectors and Angle Bisectors
  Activity 5: Points of Concurrency in Triangles
Chapter 3: Building a Better Triangle
  Activity 6: Conditional Statements
  Activity 7: Introduction to Proofs
Chapter 4: Geometry’s Window: The Sequel
  Activity 8: Geometric systems
  Activity 9: Comparing Coordinate and Taxicab Geometry

Unit 2: Transformations
Chapter 1: Isometries
  Activity 1: Translations
  Activity 2: Reflections
  Activity 3: Rotations
  Activity 4: Symmetry
Chapter 2: Parallel Lines
  Activity 5: Proving Angles Congruent
  Activity 6: Proving Lines Parallel
Chapter 3: Slopes of Lines
  Activity 7: Slopes of Parallel Lines
  Activity 8: Slopes of Perpendicular Lines
Chapter 4: Composite Transfer
  Activity 9: Composition of Isometries
  Activity 10: Tessellations

Unit 3: Triangles
Chapter 1: Triangle Properties
  Activity 1: Classifying and Identifying Parts of Triangles
  Activity 2: Triangles and Angles
  Activity 3: Isosceles and Equilateral Triangles
  Activity 4: Special Segments in a Triangle
Chapter 2: Proving Triangles Congruent
  Activity 5: Proving Triangles Congruent: SSS and SAS
  Activity 6: Proving Triangles Congruent: ASA, AAS, HL
Chapter 3: CPCTC and Compass Constructions
  Activity 7: Congruent Triangles and CPCTC
  Activity 8: Applying Congruence
  Activity 9: Basic Constructions
  Activity 10: Constructing Perpendiculars and Parallels

Updated 11/13/12