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Jurgensen, Brown, Jurgensen Geometry, Part One

With Jean Hoeft, MA

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.

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.

**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**

**Course Materials:** Geometry by Jurgensen, Brown and Jurgensen, ISBN# 0-395-77120-X

**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.

**Class Dates:** Tuesdays, September 3 to December 10, 2024. (No class Oct. 29)

**Starting Time:** 11:30 AM Eastern (10:30 Central; 9:30 Mountain; 8:30 Pacific)

**Duration:** 55 minutes per class

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