Geometry as you’ve always wanted! We explore the shapes and their attributes, but we also learn logical reasoning and how to prove that something is true. This is a skill that can’t be underplayed in our day and age.
How to get the most out of Jurgensen, Brown, Jurgensen Geometry, Part One with Jean Hoeft:
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First, read the course materials below before the first class meeting.
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Print out a copy of the course syllabus to use as a guide for homework and topics.
- Watch the recorded lecture for each week before attending the live class.
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Then have a notebook, textbook, calculator, and pencil ready and available for class notes each live session.
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Read the chapters assigned before the class meeting.
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Watch that week’s recording if you need to revisit information from our live session.
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Do the assignments, quizzes, and any extra work assigned for that week.
- Turn in all homework and tests before it is due to ensure that no late grades are charged. Remember, homework and tests are ALWAYS due at 9:00 a.m. the day of class.
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Once the course is completed to the parent's and professor’s satisfaction, there is a Certificate of Completion at the end to be filled in for your records.
Total Classes: 14
Duration: 55 minutes
Prerequisite: Algebra 1 or equivalent coursework
Suggested Grade Level: 10th grade and up
Suggested Credit: One full semester Math
Instructor: Jean Hoeft, MA
Instructor Email: Jean.Hoeft.forjesus@gmail.com
Course Description: Students will explore all content of Euclidean geometry. They will complete 3-4 lessons per week, with a test bi-weekly. Each assignment will include at least one proof after, chapter 4. Students will also learn to use trigonometry and vector analysis.
Course Outline:
Week One: Chapter 1: Sections 1.1 to 1.2
Algebra Review
Week Two: Chapter 1: Sections 1.3 to 1.5
Topics to Include: Segments, Rays, Distance; Angles; Postulates and theorems relating to points, lines, and planes
Week Three: Chapter 2: Sections 2.1 to 2.4
Topics to include: If-then statements; Properties of Algebra; Proving Theorems; Special Pairs of Angles
Week Four: Chapter 2: Sections 2.5 to 2.6
Topics to Include: Perpendicular Lines; Planning a proof
Week Five: Chapter 3: Sections 3.1 to 3.3
Topics to Include: Definitions; Properties of Parallel lines; Proving Lines parallel
Week Six: Chapter 3: Sections 3.4 and 3.6
Topics to Include: Angles of a Triangle; Angles of a polygon; Inductive Reasoning
Week Seven: Chapter 4 Sections 4.1 to 4.4
Topics to Include: Congruent figures; Proving triangles congruent; Using congruent triangles; Isosceles triangle theorems
Week Eight: Chapter 4 Sections 4.5 to 4.7
Topics to Include: Other methods for proving triangles congruent; Using more than one pair of congruent triangles; medians, altitudes, and perpendicular bisectors
Week Nine: Chapter 5 Sections 5.1 to 5.3
Topics to Include: Properties of Parallelograms; Ways to prove that quadrilaterals are parallelograms; Theorems involving parallel lines
Week Ten: Chapter 5 Sections 5.4 to 5.5
Topics to Include: Special parallelograms; Trapezoids
Week Eleven: Chapter 6 Sections 6.1 to 6.4
Topics to Include: Inequalities; Inverses and contrapositives; Indirect proofs; Inequalities for one triangle
Week Twelve: Chapter 6 Section 6.5 and Chapter 7 sections 7.1 to 7.3
Topics to Include: Ratios and Proportions; Properties of proportions; Similar polygons
Week Thirteen: Chapter 7.4-7.6
Topics to include: Postulate for similar triangles; Theorems for similar triangles; Proportional lengths
Week Fourteen: Review and Final
Geometry by Jurgensen, Brown and Jurgensen, ISBN# 0-395-77120-X (www.amazon.com/exec/obidos/ASIN/039577120X/catholictreas-20)
Homework: Students will be asked to complete 3-4 lessons per week with a bi-weekly chapter test. Expect to spend 30 to 60 minutes per day on homework.
- Teacher: Jean Hoeft