Geometry
High School Geometry and Introductory Linear Algebra
Next session on Mar 27, 2023
Hosted by Jose Roberto Cossich G
Series Details
About
Hey guys,
I decided to make a new, comprehensive series on Geometry, including matrices, vectors, and other concepts to discuss planes, shapes in 3-dimensions, etc.
IMPORTANT: You can join this series AFTER it has begun in case there are any specific topics you would like to learn or review!
This series we will covering all Khan Academy Courses on Basic Geometry, High School Geometry, as well as an introduction to linear algebra.
The units we'll be doing are the following:
Geometry Foundations, Triangles, Area and Perimeter, Surface Area and Volume, Polygons, Performing Transformations, Transformation properties and proofs, Congruence, Similarity, Analytical Geometry, Conic Sections, Circles, and Solid Geometry, Vectors and Matrices, and Planes.
This series is for students who have already completed Pre-algebra and Arithmetic and are eager to learn! Some units may require some knowledge of Algebra 1, but we will cover that as well in our sessions.
✋ ATTENDANCE POLICY
I try to make the session times as accommodating as possible, however make-up sessions are always available.
Dates
November 13 - May 21
Learners
97 / 100
Total Sessions
26
About the Tutor
Hi, my name's Jose, I'm a Junior and an international student. I love listening to Indie music, watching 80s movies, and reading in my spare time. I enjoy math because it allows me to express myself artistically, and tutor for the mere sake of those aha moments. I'm currently taking Calc 3 and AP Physics C, hope to see you soon!
Upcoming Sessions
Session 19
Analytic geometry
(Approx. 1h30m)
Today we'll work on some Khan Academy questions regarding parabolas.
After that, we will derive the equation of a general parabola (not only in the special cases that it is a vertical or horizontal one) by first deriving the equation for distance from a point to a line. Hope to see you there, and as always, feel free to ask for a catch-up/office our session in the group/private chat.
Session 20
Meetup
(Approx 1h30m).
Circumcenter and circumcircles. (More info to be added soon!)
Session 21
Meetup
(Approx 1h30m).
Incenters and Incircles. (More info to be added soon!)
Session 22
Meetup
(Approx 1h30m).
Medians and Centroids. (More info to be added soon!)
Session 23
Meetup
(Approx 1h15m).
Orthocenters and Euler's Line. (More info to be added soon!)
Session 24
Meetup
Introduction to Vectors
-We will explore what an n-vector is, what a vectors space is
-What is and how to calculate and interpret magnitude
-Understand what vector components are and how to understand direction through them.
Session 25
Meetup
Introduction to Vector Operation
-We will explore what a unit and zero-vector are.
-We will define vector addition and subtraction
-We will define the dot product
-We will explore the law of cosines for vectors and define orthogonality
Session 26
Meetup
Defining planes parametrically and algebraically
-Define parametric equations
-Define the algebraic equation of a plane
-Using three points on a plane to find the parametric and algebraic equations of a plane, and convert between the two.
-Using a normal vector to find the algebraic and parametric equations of a plane.