Pre-Calculus • Series
Triangles, Pyramids, and Trigonometry
PL
JG
Jose Roberto Cossich G
This series ended on April 9, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Welcome! In this series we'll start with the very basics of triangles and end with advanced trigonometry! Are you ready?
We'll cover:
-Types of triangles,
- General Triangle Properties
-Circumcenter, Centroid, Altitudes, and Medians
-Triangular Pyramids and Prisms (and their brain bending properties :)
-Right Triangle Trigonometry (SOHCAHTOA, Complementary Angles, Reciprocal Trigonometric Ratios, etc.)
-Unit Circle and Trigonometric Identities/Values
-Radians and Degrees
-Trigonometric Functions
-Inverse Trigonometric Functions
-Sinusoidal Graphs/Equations
-Angle Addition Identities
-(other) Trigonometric Identities
Each session will be about an hour to an hour and a half and we'll end each session with a Quizziz (game). Catch-up sessions are always available, just ask! Everything is organized in a google sites (homework, resources, slides, etc.)
Pre-requisite: Pre-Algebra; Algebra and Geometry in general are also useful and recommended, but not required.
YOU CAN ALWAYS JOIN AFTER THE SERIES HAS BEGUN!
✋ ATTENDANCE POLICY
Optional, but concepts grow off one another, so if you can't make it just let me know and we can have a catch-up session if you want. Hope to see you soon!
Dates
February 5 - April 9
Learners
55 / 75
Total Sessions
18
About the Tutor
PL
JG
A little about me: I'm about the biggest Indie fan there is, I almost exclusively watch (John Hughes>>) 80s movies or the upcoming Star Wars series, and I read sci-fi in my spare time. I tutor for the sake of those aha moments, and have taken Multivariable Calc, Linear Algebra, Real Analysis, and Complex Analysis. Who knows what I'll tutor next, hope to see you soon.
View Jose Roberto Cossich G's Profile
Upcoming Sessions
0
Past Sessions
18
5
Feb
Rt
Session 1
Right triangles & trigonometry
It's great to see you guys here!
We're going to start with a brief series overview, then get into
-Types of Triangles
-Angle Properties
-The Triangle Inequality Theorem
-The Pythagorean Theorem (we'll do the proof after the quizziz using similarly for those who wanna see, I'll also send a video of it to you guys)
Catch-up sessions are always available!
11
Feb
Rt
Session 2
Right triangles & trigonometry
Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready! Catch-up sessions are always available!
18
Feb
Rt
Session 3
Right triangles & trigonometry
Hey guys,
Today we're going to learn the trigonometric ratios (SOHCAHTOA), reciprocal ratios, and build some intuition around them (it would be helpful to know about Similarity beforehand). We'll find the lengths of missing sides of right triangles, learn about complementary angles, and do some other practice.
As always, catch-up sessions are available.
20
Feb
Nt
Session 4
Non-right triangles & trigonometry
Hey guys, today we're going to go over the law of sines and cosines (and their proofs) to find the missing sides of arbitrary triangles (and provide some more intuition to some congruence theorems using these laws)
As always, catch-up sessions are available.
25
Feb
Tf
Session 5
Trigonometric functions
Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values.
As always, catch-up sessions are available.
27
Feb
R
Session 6
Review
Hey guys, today we're going to be reviewing everything we've learnt so far:
-Triangle types, finding angles.
-Medians, circumcenters, centroids of triangles
-Pythagorean Theorem (& Special Right Triangles)
-SOHCAHTOA and reciprocal trigonometric ratios
-Using the law of sines/cosines to find missing side lengths
As always, catch-up sessions are available.
6
Mar
Tf
Session 7
Trigonometric functions
Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values.
As always, catch-up sessions are available.
7
Mar
Tf
Session 8
Trigonometric functions
Hey guys, today we're going to be plotting the values of trigonometric functions that we derived using the unit circle onto a graph; then we'll play around with inverse functions and make the trigonometric functions invertible (For background knowledge on making functions invertible, go to https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/a/intro-to-invertible-functions). We'll also determine the domain and range of these inverse functions and see their graphs as well.
As always, catch-up sessions are available.
13
Mar
Tf
Session 9
Trigonometric functions
Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine.
As always, catch-up sessions are available.
14
Mar
Tf
Session 10
Trigonometric functions
Today we'll just practice what we learnt last session, deriving the equations of sinusoidal functions using their graphs. This is a very tedious process, so we will have an additional session on this.
As always, catch-up sessions are available.
19
Mar
Ti
Session 11
Trigonometric equations and identities
Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine.
As always, catch-up sessions are available.
20
Mar
Ti
Session 12
Trigonometric equations and identities
Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine.
As always, catch-up sessions are available.
21
Mar
Tf
Session 13
Trigonometric functions
Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine.
As always, catch-up sessions are available.
23
Mar
Ti
Session 14
Trigonometric equations and identities
Today we're going to be applying trig identities to solve sinusoidal equations!
Have fun, see you soon.
As always, catch-up sessions are available.
24
Mar
Ti
Session 15
Trigonometric equations and identities
Today we're going to cover angle addition identities for sine, cosine, and tangent. This is our second-to-last session for the series, so enjoy!
As always, catch-up sessions are available.
27
Mar
R
Session 16
Review
Hey guys, today we're going to review everything we've learned so far since the last review:
-Trigonometric functions and identities
-Properties of inverse trigonometric functions
-Solving sinusoidal equations
-Angle addition identities
This was our last session, but I'm sure we'll see each other again! Have fun and good luck, it was great having you guys.
As always, catch-up sessions are available.
8
Apr
Ti
Session 17
Trigonometric equations and identities
Today we're going to be applying trig identities to solve sinusoidal equations!
Have fun, see you soon.
As always, catch-up sessions are available.
9
Apr
Ti
Session 18
Trigonometric equations and identities
Today we're going to cover angle addition identities for sine, cosine, and tangent. This is our second-to-last session for the series, so enjoy!
As always, catch-up sessions are available.