Essence of Algebra 2, Masterclass-- Basics to Advance
SAT Score Range
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10 sessions
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CM
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🔥 9 spots left!
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
17
Dec
SESSION 3
Polynomial division
Polynomial division
Tue 10:30 AM - 12:00 PM UTCDec 17, 10:30 AM - 12:00 PM UTC
Now, let’s dive into Polynomial Division! In this section, we’ll explore two main methods to divide polynomials:
Long Division – You’ll learn how to divide polynomials step-by-step, just like dividing numbers.
Synthetic Division – A faster, streamlined method for dividing polynomials, especially useful when dividing by linear binomials. These techniques are essential for simplifying complex polynomial expressions and solving polynomial equations more efficiently.
SESSION 4
18
Dec
SESSION 4
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 5
19
Dec
SESSION 5
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 6
20
Dec
SESSION 6
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 7
21
Dec
SESSION 7
Exponential models
Exponential models
Sat 10:30 AM - 12:00 PM UTCDec 21, 10:30 AM - 12:00 PM UTC
Welcome to Exponential Models! In this section, we will explore exponential functions and how they model real-world scenarios. You’ll learn to:
Set up and solve exponential equations for applications such as population growth, radioactive decay, and compound interest.
Understand the concept of growth and decay rates and how they affect exponential behavior.
Apply exponential functions to model real-life problems and make predictions based on mathematical formulas.
SESSION 8
22
Jan
SESSION 8
Logarithms
Logarithms
Wed 10:30 AM - 12:00 PM UTCJan 22, 10:30 AM - 12:00 PM UTC
Now let’s explore Logarithms! In this section, we’ll look at the relationship between logarithms and exponents. You’ll learn:
The definition of a logarithm and how to convert between logarithmic and exponential forms.
The basic properties of logarithms, such as the product, quotient, and power rules.
How to solve logarithmic equations and apply logarithms to real-world problems like exponential growth or decay.
SESSION 9
23
Jan
SESSION 9
Trigonometry
Trigonometry
Thu 10:30 AM - 12:00 PM UTCJan 23, 10:30 AM - 12:00 PM UTC
Welcome to Trigonometry! This section introduces the fundamental concepts of trigonometry. You’ll learn:
The basic trigonometric ratios: sine, cosine, and tangent.
How to solve problems involving right triangles and use the trigonometric functions to find missing sides and angles.
The foundation for more advanced trigonometric concepts, such as the unit circle and periodic functions, which are crucial for higher-level math.
SESSION 10
24
Jan
SESSION 10
Other Topics
Other Topics
Fri 10:30 AM - 12:00 PM UTCJan 24, 10:30 AM - 12:00 PM UTC
Finally, let’s get a sneak peek at Precalculus. This section serves as a bridge to higher-level mathematics, such as Calculus. :)