Algebra 2 • Series
Comprehensive Algebra 2 with Trig 🍎
PL
JG
Jose Roberto Cossich G
This series ended on June 3, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Hey guys! Along with my Geometry series, here's one for Algebra 2 and Trig! It's never too early/late to start learning, so why not join?
Prerequisites: Algebra 1; good grasp of quadratics (which you can learn concurrently if you haven't already).
We're going to be covering
-Polynomials
-Vectors
-Complex Numbers
-Rational Functions
-Exponents/Logarithms
-Function Transformations
-Linear Transformations using Matrices
-Types of triangles
-Right Triangle Trigonometry
-Unit Circle and Trigonometric Identities/Values
-Radians and Degrees
-Trigonometric Functions
-Inverse Trigonometric Functions
-Sinusoidal Graphs/Equations
-Other Trigonometric Identities
✋ ATTENDANCE POLICY
Attendance is optional but highly recommended since topics build on each other; however I understand that everyone has a busy schedule, so if you can't make it and want a catch-up session just ask!
Dates
November 14 - June 3
Learners
122 / 150
Total Sessions
28
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
28
14
Nov
Pa
Session 1
Polynomial arithmetic
Hey guys, today we will start by
-Introducing the series
-Defining polynomials
-Learning how to add, subtract, and multiply polynomials (FOIL)
As always, catch-up sessions are available, just ask.
21
Nov
Pd
Session 2
Polynomial division
-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials
-Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
5
Dec
Pf
Session 3
Polynomial factorization
-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials
-Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
11
Dec
R
Session 4
Review
-Reviewing quadratic factorization
-Learn about the features of polynomials represented visually in graphs including factors (zeros), the multiplicity of their zeros, the graphs y-intercept, and end behavior (odd or even or none).
Hey guys, today we will review the concepts in our first unit, polynomials. We will be focused more on practicing our skills and resolving any remaining doubts.
12
Dec
T
Session 5
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.
19
Dec
Pf
Session 6
Polynomial factorization
-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials
-Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
20
Dec
T
Session 7
Trigonometry
CONTINUING
-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials
-Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
27
Dec
T
Session 8
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.
28
Dec
Cn
Session 9
Complex numbers
Hey guys, these two sessions will be on Vectors, but I put it as about Complex Numbers because their relation will lay the foundations for our understanding of Complex Numbers.
- What is a Vector? What are n-vectors?
-Zero vectors
-Vector quantities vs Scalar quantities
-Finding the x and y component of a vector, adding and subtracting vectors together (the parallelogram rule
-The argument and modulus of a vector, what they are and how to derive them (inverse trig functions)
-Some more advanced problems on vectors from Khan Academy
16
Jan
Cn
Session 10
Complex numbers
Hey guys, today we will begin to cover Complex Numbers
-What they are,
-Complex solutions to quadratics,
-Factoring by sum of squares (and solving for the complex roots of polynomials using sum of squares),
-De Moivre's Theorem
-Euler's Formula
23
Jan
Cn
Session 11
Complex numbers
Hey guys, today we're going to find all the complex solutions to polynomials in general (not just through sum of squares or in quadratics) by covering
-Rectangular Form of Complex numbers and converting it to
-Polar Form of Complex Numbers
- The Imaginary Plane
-The Argument and Modulus of Complex Numbers.
30
Jan
Cn
Session 12
Complex numbers
(CONTINUING LAST SESSION)
Hey guys, today we're going to find all the complex solutions to polynomials in general (not just through sum of squares or in quadratics) by covering
-Rectangular Form of Complex numbers and converting it to
-Polar Form of Complex Numbers
- The Imaginary Plane
-The Argument and Modulus of Complex Numbers.
6
Feb
R
Session 13
Review
Hey guys, today we will review the concepts in our second unit, complex numbers. We will be focused more on practicing our skills and resolving any remaining doubts.
13
Feb
T
Session 14
Trigonometry
We're starting our Trigonometry Unit!
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
-Review of SOHCAHTOA
20
Feb
T
Session 15
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)
6
Mar
T
Session 16
Trigonometry
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.
21
Mar
T
Session 17
Trigonometry
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.
26
Mar
T
Session 18
Trigonometry
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.
27
Mar
T
Session 19
Trigonometry
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.
4
Apr
T
Session 20
Trigonometry
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.
10
Apr
T
Session 21
Trigonometry
(CONTINUING)
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.
17
Apr
T
Session 22
Trigonometry
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
May
Em
Session 23
Exponential models
Hey guys, today we're going to be covering
-Properties of exponents (rational exponents as well) (review)
-Exponential function properties (growth and decay)
25
May
L
Session 24
Logarithms
-What logarithms are and converting expressions into exponential/logarithmic form
-Logarithm properties
- Logarithmic functions
28
May
T
Session 25
Trigonometry
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.
29
May
L
Session 26
Logarithms
-What logarithms are and converting expressions into exponential/logarithmic form
-Logarithm properties
- Logarithmic functions
30
May
Tf
Session 27
Transformations of functions
Hey guys, today we're going to be doing something different. We'll be play with different functions on desmos to build some intuition on...
-Vertical and horizontal translations
-Vertical and horizontal stretches/compressions
-Reflections
3
Jun
Tf
Session 28
Transformations of functions
Hey guys, today we're going to be doing something different. We'll be play with different functions on desmos to build some intuition on...
-Vertical and horizontal translations
-Vertical and horizontal stretches/compressions
-Reflections
We'll also cover vectors and matrices--what they are, how to add and subtract them, as well as multiply them.
We'll use this to prove the rotation matrix, a linear function to rotate functions or points by a given angle.