(Recorded Course) Jurgensen, Brown, Jurgensen Geometry, Part One with Jean Hoeft

Gain the foundational skills of Geometry -- including two and three-dimensional shapes, lines, rays, and figures in a plane; use deductive and analytical reasoning, logic, and problem-solving skills that connect Algebra and Geometry.

How to get the most out of Jurgensen, Brown, Jurgensen Geometry, Part One with Jean Hoeft:

  • First, read the course materials below before the first class meeting.

  • 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.

  • Then have a notebook, textbook, calculator, and pencil ready and available for class notes each live session.

  • Read the chapters assigned before the class meeting.

  • Watch that week’s recording if you need to revisit information from our live session.

  • 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.

  • 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.

Special Notes: This is Part One of a two-part course. Students are expected to register for Part Two in the Spring 2021 semester.

Mrs. Hoeft provides 14 recorded 20- to 30-minute lectures in addition to the 14 live classes.

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 study two and three dimensional shapes as well as lines, rays, and similar figures in a plane. Deductive reasoning will be used throughout the text to immerse students in proofs and the varying postulants and theorems that are used. Basic as well as more advanced constructions will be used along with algebra to connect algebra with the geometry that they are learning. We will be using the college entrance tests as a guide for the tests and quizzes so that students are familiar with the types of questions they will be expected to know and answer.

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

Course Materials: Geometry by Jurgensen, Brown and Jurgensen, ISBN# 0-395-77120-X (www.amazon.com/exec/obidos/ASIN/039577120X/catholictreas-20)

Homework: 4-5 assignments per week with 15-20 problems per lesson. Expect to spend 30 to 60 minutes a day on homework.