Essence of Algebra 2, Masterclass-- Basics to Advance
SAT Score Range
•
6 sessions
•
AP
MA
FM
+7
This series ended on December 23, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
In this series, we'll dive deep into the world of Algebra 2, breaking it down step by step to help you not just understand it, but master it. Whether you're just starting out or looking to sharpen your skills, this course has something for everyone.
We'll cover everything from:
--The building blocks of Algebra 2, like quadratic functions, polynomials, and rational expressions.
--Key techniques for solving equations, graphing functions, and analyzing systems.
--Advanced concepts like logarithms, exponential growth, and complex numbers, all explained in a clear, approachable way.
By the end of this series, you'll not only feel confident tackling Algebra 2 problems but also understand how these concepts connect to real-world applications and prepare you for even higher-level math.
Get ready to level up your math game—let's begin!
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Schedule
✋ ATTENDANCE POLICY
Regular attendance is crucial for your success in the Masterclass. Each class builds on the last, so missing a session can create gaps in your understanding. If you must miss a class, please inform us in advance, and we’ll provide resources to help you catch up. Consistent participation is key to mastering the material, and missing multiple classes may affect your progress. Let's stay committed and make the most of every session!
SESSION 1
15
Dec
SESSION 1
Polynomial arithmetic
Polynomial arithmetic
Sun 10:30 AM - 12:00 PM UTCDec 15, 10:30 AM - 12:00 PM UTC
Welcome to Polynomial Arithmetic! In this section, we’ll focus on performing basic operations with polynomials. Just like with numbers, we can add, subtract, and multiply polynomials. These skills are fundamental for simplifying and solving polynomial equations. Here's what we'll cover:
Addition of Polynomials: You’ll learn how to combine like terms and add polynomials efficiently.
Subtraction of Polynomials: You’ll understand how to subtract one polynomial from another, making sure to distribute the negative sign correctly.
Multiplication of Polynomials: You’ll master the distributive property (also called the FOIL method for binomials) and apply it to multiply polynomials, including binomials, trinomials, and higher-degree polynomials.
SESSION 2
16
Dec
SESSION 2
Polynomial factorization
Polynomial factorization
Mon 10:30 AM - 12:00 PM UTCDec 16, 10:30 AM - 12:00 PM UTC
Welcome to Factorization of Polynomials! In this section, we will focus on breaking down polynomials into simpler components. You'll learn how to recognize different types of polynomials and factor them using various methods, including:
Greatest Common Factor (GCF)
Factoring by Grouping
Difference of Squares
Trinomial Factoring (such as factoring quadratics) By mastering factorization, you'll gain a powerful tool to simplify complex polynomial expressions and solve equations effectively.
SESSION 3
18
Dec
SESSION 3
Polynomial graphs
Polynomial graphs
Wed 10:30 AM - 12:00 PM UTCDec 18, 10:30 AM - 12:00 PM UTC
Welcome to Graphing Polynomials! In this section, we will explore how to graph polynomial functions and understand their behavior. By the end of this topic, you'll be able to visualize polynomials and analyze key features such as roots, end behavior, and the general shape of the graph. Here's what we'll cover:
Identifying Key Features: You’ll learn how to find the x-intercepts (roots), y-intercept, and degree of the polynomial, all of which provide important information about the graph.
End Behavior: We’ll explore how the degree and leading coefficient of a polynomial affect the graph’s behavior as it moves toward positive and negative infinity.
Shape of the Graph: Depending on the degree of the polynomial, the graph will have different shapes—whether it’s linear, quadratic, cubic, or a higher-degree polynomial.
This section will give you the tools to sketch polynomials accurately and understand their important characteristics. Let’s get started with graphing!
SESSION 4
19
Dec
SESSION 4
Rational exponents and radicals
Rational exponents and radicals
Thu 10:30 AM - 12:00 PM UTCDec 19, 10:30 AM - 12:00 PM UTC
Welcome to Radical Functions and Exponents! This section is split into two key areas:
Exponents: We’ll explore exponent laws and how to simplify expressions involving powers. You’ll learn how to apply the laws of exponents (like product, quotient, and power rules) to manipulate and simplify complex expressions.
Radical Functions: We’ll then shift to square roots, cube roots, and higher-order roots. You’ll learn to simplify radical expressions, solve equations with radicals, and understand the behavior of radical functions.
SESSION 5
20
Dec
SESSION 5
Complex numbers
Complex numbers
Fri 10:30 AM - 12:00 PM UTCDec 20, 10:30 AM - 12:00 PM UTC
Let’s dive into Complex Numbers! Here, we will explore the concept of imaginary numbers and how they combine with real numbers to form complex numbers. You’ll learn:
Adding, Subtracting, Multiplying, and Dividing complex numbers.
Representing complex numbers in standard form (a + bi) and polar form.
Understanding the real and imaginary components and how to use complex numbers to solve equations that real numbers can't handle.
SESSION 6
23
Dec
SESSION 6
Polynomial graphs
Polynomial graphs
Mon 10:30 AM - 12:00 PM UTCDec 23, 10:30 AM - 12:00 PM UTC
Welcome to Graphing Polynomials! In this section, we will explore how to graph polynomial functions and understand their behavior. By the end of this topic, you'll be able to visualize polynomials and analyze key features such as roots, end behavior, and the general shape of the graph. Here's what we'll cover:
Identifying Key Features: You’ll learn how to find the x-intercepts (roots), y-intercept, and degree of the polynomial, all of which provide important information about the graph.
End Behavior: We’ll explore how the degree and leading coefficient of a polynomial affect the graph’s behavior as it moves toward positive and negative infinity.
Shape of the Graph: Depending on the degree of the polynomial, the graph will have different shapes—whether it’s linear, quadratic, cubic, or a higher-degree polynomial.
This section will give you the tools to sketch polynomials accurately and understand their important characteristics. Let’s get started with graphing!