Algebra 2 w/Trig

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Algebra 2 w/Trig

SAT Score Range

•

23 sessions

•

+45

This series ended on August 9, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Hey guys, wanna get ahead of the curve? Wanna catch-up or reinforce your skills? I'm hosting this series because I really enjoyed my Algebra 2 and Trigonometry series in the past and because of popular demand. 

In this series we'll cover:
-Polynomials (polynomial arithmetic, factoring, remainder and factor theorem, solving equations, features of graphs)
-Vectors
-Complex Numbers and Equations
-Rational Functions
-Exponents/Logarithms (Arithmetic, Algebra, and Graphs)
-Function Transformations
-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
-Other Trigonometric Identities

Tutored by

Jose Roberto Cossich G 🇬🇹

Senior Tutor

Certified in 69 topics

View Profile

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.

Schedule

✋ ATTENDANCE POLICY

Catch-up sessions are always available. Notes will also be posted.

SESSION 1

7

Jun

SESSION 1

Polynomial arithmetic

Tue 1:45 PM - 3:15 PM UTCJun 7, 1:45 PM - 3:15 PM UTC

Hey guys, today we will start by
-Introducing the series (orientiation)
-Defining polynomials
-Learning how to add, subtract, and multiply polynomials (FOIL)
-Learn how to divide by polynomials
As always, catch-up sessions are available, just ask.

SESSION 2

12

Jun

SESSION 2

Polynomial graphs

Sun 1:30 PM - 3:00 PM UTCJun 12, 1:30 PM - 3:00 PM UTC

-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

SESSION 3

14

Jun

SESSION 3

Review

Tue 1:30 PM - 3:30 PM UTCJun 14, 1:30 PM - 3:30 PM UTC

-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.

SESSION 4

16

Jun

SESSION 4

Complex numbers

Thu 1:30 PM - 3:30 PM UTCJun 16, 1:30 PM - 3:30 PM UTC

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? 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
-Some more advanced problems on vectors from Khan Academy

SESSION 5

19

Jun

SESSION 5

Polynomial factorization

Sun 1:30 PM - 2:10 PM UTCJun 19, 1:30 PM - 2:10 PM UTC

-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

SESSION 6

21

Jun

SESSION 6

Review

Tue 1:30 PM - 2:10 PM UTCJun 21, 1:30 PM - 2:10 PM UTC

-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.

SESSION 7

23

Jun

SESSION 7

Complex numbers

Thu 1:30 PM - 3:30 PM UTCJun 23, 1:30 PM - 3:30 PM UTC

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

SESSION 8

26

Jun

SESSION 8

Complex numbers

Sun 1:30 PM - 3:30 PM UTCJun 26, 1:30 PM - 3:30 PM UTC

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.

SESSION 9

28

Jun

SESSION 9

Review

Tue 1:30 PM - 2:40 PM UTCJun 28, 1:30 PM - 2:40 PM UTC

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.

SESSION 10

30

Jun

SESSION 10

Exponential models

Thu 1:30 PM - 3:30 PM UTCJun 30, 1:30 PM - 3:30 PM UTC

Hey guys, today we're going to be covering
-Properties of exponents (rational exponents as well) (review)
-Exponential function properties (growth and decay)

SESSION 11

3

Jul

SESSION 11

Logarithms

Sun 1:30 PM - 3:30 PM UTCJul 3, 1:30 PM - 3:30 PM UTC

-What logarithms are and converting expressions into exponential/logarithmic form
-Logarithm properties
- Logarithmic functions

SESSION 12

6

Jul

SESSION 12

Review

Wed 2:00 PM - 3:10 PM UTCJul 6, 2:00 PM - 3:10 PM UTC

Hey guys, today we wil review the concepts in our third unit, exponents, logarithms, and their graphs. We will be focused more on practicing our skills and resolving any remaining doubts.

SESSION 13

8

Jul

SESSION 13

Exponential models

Fri 1:30 PM - 3:00 PM UTCJul 8, 1:30 PM - 3:00 PM UTC

-Properties of exponents (rational exponents and graphs) (review)
- Introduction to Logarithms and Logarithm Properies

SESSION 14

16

Jul

SESSION 14

Logarithms

Sat 3:00 PM - 4:30 PM UTCJul 16, 3:00 PM - 4:30 PM UTC

- Logarithm properties (review), proofs, and graphs.
- Unit review

SESSION 15

18

Jul

SESSION 15

Transformations of functions

Mon 2:00 PM - 3:30 PM UTCJul 18, 2:00 PM - 3:30 PM UTC

Continuing 
- Logarithm properties (review), proofs, and graphs.
- Unit review
Then, 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

SESSION 16

20

Jul

SESSION 16

Modeling

Wed 2:15 PM - 3:45 PM UTCJul 20, 2:15 PM - 3:45 PM UTC

Hey guys, today is our last session; we're going to be going over how to model situations using functions.

SESSION 17

21

Jul

SESSION 17

Equations

Thu 2:00 PM - 3:30 PM UTCJul 21, 2:00 PM - 3:30 PM UTC

Hey guys, today we'll be covering
-Square root equations (extraneous solutions)
-non-linear system of equations
-solving equations by graphing

SESSION 18

24

Jul

SESSION 18

Trigonometry

Sun 2:30 PM - 4:00 PM UTCJul 24, 2:30 PM - 4:00 PM UTC

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 (

SESSION 19

31

Jul

SESSION 19

Trigonometry

Sun 2:15 PM - 4:15 PM UTCJul 31, 2:15 PM - 4:15 PM UTC

Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready!

SESSION 20

2

Aug

SESSION 20

Trigonometry

Tue 1:30 PM - 2:10 PM UTCAug 2, 1:30 PM - 2:10 PM UTC

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)

SESSION 21

5

Aug

SESSION 21

Trigonometry

Fri 3:00 AM - 3:40 AM UTCAug 5, 3:00 AM - 3:40 AM UTC

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.

SESSION 22

7

Aug

SESSION 22

Trigonometry

Sun 6:00 PM - 6:40 PM UTCAug 7, 6:00 PM - 6:40 PM UTC

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 (

SESSION 23

8

Aug

SESSION 23

Trigonometry

Mon 11:00 PM - 11:40 PM UTCAug 8, 11:00 PM - 11:40 PM UTC

Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready!

Public Discussion

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Jun 7 - Aug 8

9 weeks

40 - 120 mins

/ session