(Fall 2023) Geometry: Seeing, Doing, Understanding (Jacob’s), Part One with Monica Breier

Learn the foundational skills of Geometry -- including two- and three-dimensional shapes, lines, rays, and figures in a plane -- and use deductive and analytical reasoning, logic, and problem solving with clear illustrations of all equations.

How to get the most out of Geometry: Seeing, Doing, Understanding (Jacob’s Geometry), Part One with Monica Breier:

  • First, read the course materials and "Complete before Week 1 Checklist" below before beginning week 1.

  • Have a notebook, compass, straightedge, and protractor ready and available for class.

  • Stay on top of assignments! Each video will begin assuming completion of the day before's task(s).

  • Do the assignments, quizzes, and any extra work assigned for that week.

  • Use the weekly checklist for the order of assignments and assessments. Make sure to check off items as you go!

Total Classes: 14 

Duration: 55 minutes per live class

Prerequisite: Successful completion of an Algebra 1 or equivalent

Suggested Grade Level: 9th to 11th

Suggested Credit: One full semester Math or Geometry

Instructor: Monica Breier

Instructor Email: breiermm@gmail.com

Course Description: This course dives deep into logical reasoning and critical thinking through proofs and constructions. Students will develop deductive reasoning strategies to understand lines, angles, polygons, and their transformations, as well as the cognitive skills necessary for logical thinking as young adults.

Course Outline:

  • Week 1: An introduction to geometry
  • Week 2-3: Deductive Reasoning
  • Week 4: Lines and Angles
  • Week 5-6: Congruence
  • Week 7-8: Inequalities
  • Week 9-10: Parallel Lines
  • Week 11-12: Quadrilaterals
  • Week 13-14: Transformations

Course Calendar:

Course Materials: Geometry: Seeing, Doing, and Understanding by Harold Jacobs, ISBN 0716743612 or 1683442547 (https://amzn.to/2Py3Zat or bookfinder.com). Plus compass, protractor, ruler, graph paper, and a scientific calculator.

Homework: Daily assignments (aside from test days) taking 20-30 minutes, with weekly quizzes or tests occurring every week.