This module serves as an introduction to conic sections, explaining what conic sections are and their significance in mathematics and geometry.
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This module introduces the concept of simple algebraic equations in the form of Ax=B. Students will learn how to isolate the variable, understand the properties of equality, and solve for unknowns.
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Building on the previous module, this section delves into slightly more complicated equations. Students will encounter equations that require more advanced manipulation techniques.
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This module focuses on equations that have variables on both sides, increasing the complexity of problem-solving. Students will learn to rearrange equations and simplify effectively.
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This module covers solving linear equations that involve variable expressions in denominators. Students will learn to handle fractions and understand their role in equations.
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This module focuses on graphing linear equations using Cartesian coordinates. Students will learn how to plot points and draw lines based on various equations.
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This module provides an intuitive understanding of slope and y-intercept, essential components of linear equations. Students will grasp how these concepts affect the graph of a line.
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This module focuses on calculating the slope of a line given two points. Students will learn the formula for slope and practice finding it through various examples.
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This module continues the exploration of slope through additional examples and problems. Students will become proficient in calculating slope in various situations.
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This module further develops the understanding of slope through advanced problems. Students will tackle challenging scenarios to enhance their skills.
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This module introduces the concept of averages in algebra, providing students with a basis for solving problems that involve mean values.
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This module focuses on adding sums of consecutive integers. Students will explore techniques for calculating sums quickly and efficiently.
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This module teaches how to take percentages of numbers, a fundamental skill in both algebra and real-world problem-solving. Students will learn the concept of percentages and practice calculations.
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This module focuses on growing a quantity by a percentage. Students will learn how to apply percentages to determine increased amounts in various contexts.
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This module addresses a common percentage word problem: finding the original price when given a discounted price. Students will learn problem-solving techniques for these situations.
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This module challenges students with slightly harder percentage problems, enhancing their problem-solving skills and understanding of percentages.
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This module introduces systems of equations, where students will learn to solve multiple equations simultaneously. This is a crucial skill in algebra and problem-solving.
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This module focuses on ratio problems that involve basic algebra. Students will learn to set up and solve ratio equations effectively.
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This module presents more advanced ratio problems, pushing students to deepen their understanding and skills in solving ratio-related equations.
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This module offers an alternate solution to the advanced ratio problem discussed previously, showcasing different methods to approach the same problem.
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This module introduces basic ratio problems, ensuring that students have a solid foundation before moving on to more complex ratios and applications.
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This module delves into more advanced ratio problems, building on previous knowledge to tackle more complex scenarios and calculations.
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This module explores age word problems, where students will learn to set up and solve equations based on age-related scenarios.
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This module continues the exploration of age word problems, presenting more complex scenarios for students to tackle.
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This module presents the final set of age word problems, allowing students to apply what they have learned in previous modules to solve these equations.
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This module introduces the concept of multiplying expressions, starting with the multiplication of binomials. Students will learn the significance of this operation in algebra.
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This module focuses on solving quadratics by factoring, a crucial skill for students as they progress in algebra. Students will learn to identify and factor quadratic expressions.
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This module introduces the concept of the imaginary unit 'i', explaining its significance in mathematics and how it is used in algebra.
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This module delves into complex numbers, teaching students how to add, subtract, and multiply them. A strong understanding of complex numbers is essential for advanced mathematics.
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This module focuses on dividing complex numbers, a critical skill for students to master as they advance in algebra. Students will learn about complex conjugates and their importance in division.
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This module introduces the quadratic equation, teaching students how to use it to solve second-degree polynomials. Understanding quadratics is fundamental in algebra.
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This module presents additional examples of solving equations using the quadratic formula, reinforcing students' understanding and application of this important algebraic tool.
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This module focuses on the method of completing the square to solve quadratic equations. This technique is essential for understanding the properties of quadratics deeply.
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This module covers the derivation of the quadratic formula by completing the square, providing students with a clear understanding of how this formula is formulated.
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This module introduces quadratic inequalities, teaching students how to solve these inequalities using techniques such as factoring and graphing.
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This module serves as an introduction to functions, where students will learn the definition of a function and its fundamental characteristics.
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This module continues the exploration of functions with more examples, allowing students to practice solving function problems and understanding their applications.
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This module provides even more examples of function exercises, allowing students to deepen their understanding and application of functions in various scenarios.
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This module presents a function problem submitted by a viewer, providing students with a practical example to solve and analyze.
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This module focuses on figuring out the domain of a function, a key aspect of understanding how functions operate and their limitations.
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This module presents a proof of the logarithmic property: log a + log b = log ab, helping students understand the foundational rules of logarithms.
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This module covers proofs of additional logarithmic properties, including A(log B) = log (B^A) and log A - log B = log (A/B), essential skills for algebra students.
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This module presents proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A)), deepening students' understanding of logarithmic properties across different bases.
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This module introduces polynomial long division, a technique necessary for dividing one polynomial by another. Students will learn the steps involved in this process.
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This module serves as an introduction to conic sections, explaining what conic sections are and their significance in mathematics and geometry.
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This module provides an introduction to circles, one of the primary conic sections. Students will learn the properties and equations associated with circles.
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This module introduces ellipses as another conic section, explaining their properties and equations. Students will learn to identify and work with ellipses.
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This module focuses on hyperbolas, introducing students to their properties and equations as another important conic section.
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This module continues the exploration of hyperbolas, diving deeper into their properties and various applications in mathematics and real life.
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This module presents the final part of the hyperbola series, focusing on advanced concepts and problem-solving techniques related to hyperbolas.
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This module focuses on identifying conic sections, helping students understand how to recognize and differentiate between different types of conics.
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This module continues the identification of conic sections, providing students with more examples and practice in recognizing different types of conics.
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This module provides further practice in identifying conic sections, allowing students to apply their knowledge and skills to more complex scenarios.
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This module focuses on calculating the foci of an ellipse, an important aspect of understanding this conic section.
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This module introduces the concept of foci in hyperbolas, teaching students how to calculate the foci and understand their significance.
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This module provides a proof of the hyperbola foci formula, solidifying students' understanding of this important concept in geometry.
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This module introduces partial fraction expansion, a technique used to simplify rational expressions. Students will learn the importance of this method in algebra.
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This module continues the study of partial fraction expansion with more complex problems. Students will practice applying techniques learned in the previous module.
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This module addresses partial fraction expansion dealing with repeated factors. Students will learn advanced techniques for simplifying these expressions.
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This module focuses on the concept of parabolas as the locus of all points equidistant from a point and a line. Students will learn the properties of parabolas.
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This module continues the study of parabolas, focusing on how to find the focus and directrix. Students will engage in practical examples to solidify their understanding.
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This module presents a fun algebra word problem involving two bicycles passing each other. Students will apply their problem-solving skills to find the solution.
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This module presents a fun algebra word problem involving a train passing a bike. Students will learn to set up equations and solve the scenario effectively.
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This module addresses a scenario involving trains passing at different rates. Students will learn to set up and solve equations based on the situation.
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This module presents a word problem involving three people overtaking each other at different rates. Students will analyze the problem and solve the equations.
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This module explores a fun word problem that is almost a brain teaser involving trains. Students will need to apply their problem-solving skills effectively.
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This module presents a fun scenario involving an officer on horseback, providing students with a unique word problem to solve.
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This module introduces rational inequalities, teaching students two methods for solving these types of inequalities effectively.
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This module continues the exploration of rational inequalities, presenting slightly harder problems for students to tackle and solve.
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This module presents an interesting polynomial problem where students will find the coefficients of a third-degree polynomial given two roots and the y-intercept.
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This module focuses on geometric series and their sums, specifically teaching students how to figure out the formula for fixed mortgage payments.
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