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Jurgensen, Brown, Jurgensen Geometry, Part One

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.

Total Classes: 14

Prerequisite: Algebra 1 or equivalent coursework

Suggested Credit: One full semester of Math

##### 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.

##### 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

##### Materials and Homework

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.

##### Important Dates

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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