Geometry

Teachers
Kenneth Rochelle
Tsivia Morrison
Danny DiDomenico
Stefan Trienekens
Rachel Kaufman
Momeena Garcia
Alex Lasky
Edith Castro
Betsy Weber
Category:
Mathematics/
Geometry
Duration: 45- or 90-hour course
Lectures: Daily classwork and homework in DarwinPrep Diagnostic and summative exams

Course Description:

Geometry is the mathematical study of questions of shape, size, relative position of figures, and the properties of space. This course covers concepts in the foundations of Geometry and analysis of space from a geometric perspective, and balances those concepts and skills with activities that allow students to make the connection between the material learned and the world around them. TG’s Geometry Regents course maps out the foundations of Geometry and Introductory Trigonometry necessary for students to gain mastery in this subject as well as establishing a solid foundation in Trigonometry for more advanced mathematical study.

Curriculum:

Introduction and Course overview

Welcome to your lesson review.

Unit 1: Congruence

Congruence

Experiment with transformations in the plane.
Understand congruence in terms of rigid motions.
Prove geometric theorems.
Make geometric constructions.

Unit 2: Similarity, Right Angles and Trigonometry

Similarity, Right Angles and Trigonometry

Understand similarity in terms of similarity transformations.
Prove theorems involving similarity
Define trigonometric ratios and solve problems involving right triangles.
Apply trigonometry to general triangles

Unit 3: Circles

Circles

Understand and apply theorems about circles
Find arc lengths and areas of sectors of circles.

Unit 4: Expressing Geometric Properties with Equations

Expressing Geometric Properties with Equations

Translate between the geometric description and the equation for a conic section.
Use coordinates to prove simple geometric theorems algebraically.

Unit 5: Geometric Measurement, Dimension and Modeling

Geometric Measurement, Dimension and Modeling

Explain volume formulas and use them to solve problems.
Apply geometric concepts in modeling situations.

About Instructors

Kenneth Rochelle
Mr. Rochelle has been teaching for fifteen years with experience as a college math professor, a high school and middle school teacher and as an SAT and math tutor.
Tsivia Morrison
Tsivia Morrison holds a B.Sc. from University College in London and a Post-Graduate Certificate of Education from Middlesex University.
Danny DiDomenico
Danny Didomenico is a veteran online instructor who holds a Bachelor’s degree in Mathematics and music from Bennington College. Danny has been working with students for over 10 years, both in the classroom and online.
Stefan Trienekens
Mr. Trienekens has extensive experience tutoring small groups of up to four students in biology, college-level remedial math, writing, physics and history.
Rachel Kaufman
Ms. Kaufman’s experience includes teaching both mainstream and special needs elementary school students. In addition, she has taught adult education classes and worked as a private piano teacher.
Momeena Garcia
Momeena Garcia teaches math (K-12 and college), English language arts (elementary and middle school), special education (K-12), and Spanish, as well as preparation for exams such as the SAT and ACT.
Alex Lasky
Ms. Lasky says her educational philosophy can be summed up in one sentence: "Practice, practice, practice until no numbers can surprise you."
Edith Castro
Ms. Castro teaches middle and high school math up to calculus, with special expertise in algebra at all levels. She uses technology extensively.
Betsy Weber
"I believe that all students can and will learn if they are motivated, engaged, and given enough time," she says. "Students are individuals and so are their needs. I always want to know if there is a better way to teach a lesson, and go in search of tools or ideas that would take my lessons to the next level."