High-School Geometry I

High school credit, 16 assignments, 2 exams, $210 tuition, $50 administration fee, Prerequisites: One year of high-school algebra. This is course H600-H20 (also course number C600-A20, 10 CEU).

This course is the first half of a one-year geometry course at the high-school level. Geometry is the study of spatial relationships in two and three dimensions. Proofs, which constitute a large part of this course, help students develop facility in rigorous logical thought. This course is also offered as a non-credit continuing education course, under the number C600-A20. The second semester of high-school geometry is offered as H600-H21.

Prerequisite: One year of high-school algebra.

Course Materials

• Geometry, Jugensen, Brown and Jurgensen, MacDougall Littell, 1997. Available through MBS at direct.mbsbooks.com/uwlearning.htm
• Course Guide for Mathematics H20, Hall, UW-Extension Independent Learning, available through MBS at direct.mbsbooks.com/uwlearning.htm (choose "Continue", then "Independent Learning") or 800-325-3252.
• Corrections to the Course Guide, on line at courses.dcs.wisc.edu/math/il/resources/H20/H20_errata.html. If you find an error in the course guide, let us know!
• Student Handbook, available at learn.wisconsin.edu/il/studenthandbook/studenthandbook.pdf, or on paper by request to Learner Services, toll-free 1-877-UW-LEARN (877-895-3276).

Course Format

The course consists of 16 lessons and 2 exams. Each lesson consists of:

• A reading assignment from the text.
• Exercises to test your understanding of the material. (Solutions to these self-test problems are provided in the course guide.)
• A written assignment, from the text, to submit for grading and feedback.

Exams are mailed to a proctor selected by the student in accordance with Independent Learning's guidelines.

Grading

Score	Letter Grade
NOTE: The grading scale was revised on Nov 13, 2003. This grading scale applies to all students who complete the course after that date.
93-100	A
90-92	AB
83-89	B
80-82	BC
73-79	C
65-72	D
0-64	F

Each lesson and each exam is graded on a 100-point scale. The exam average is weighted, with the midterm counting for 30% of the exam average, and the final counting for 70%. The final score is computed as a weighted average, with the average of the lessons counting for 40%, and the weighted average of the exams counting 60%. This score is then converted to a letter grade according to the table here.

Course Outline

• Lesson 1: Points, Lines, and Planes
• Lesson 2: Theorems, Postulates, and Angles
• Lesson 3: Using Deductive Reasoning
• Lesson 4: Theorems about Angles and Perpendicular Lines
• Lesson 5: Planning a Proof
• Lesson 6: When Lines and Planes are Parallel
• Lesson 7: Proving Lines Parallel
• Lesson 8: Applying Parallel Lines to Polygons
• Midterm Exam
• Lesson 9: Corresponding Parts in a Congruence
• Lesson 10: Some Theorems Based on Congruent Triangles
• Lesson 11: More About Proofs in Geometry
• Lesson 12: Parallelograms
• Lesson 13: Special Quadrilaterals
• Lesson 14: Inequalities and Conditional Statements Revised
• Lesson 15: Indirect Proof
• Lesson 16: Inequalities in Triangles
• Final Exam