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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore solving logarithmic equations by focusing on understanding and applying logarithmic properties. Develop skills in solving equations, comprehending logarithmic principles, and effectively utilizing technology in mathematical problem-solving.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Investigate the fundamental concepts of domain and range in exponential functions. This exploration promotes a comprehensive understanding of function behavior, empowering learners to precisely determine domain, range, and asymptotic characteristics in mathematical graphs.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore exponential and logarithmic functions by examining their properties, graphing techniques, and real-life applications such as compound interest. Strengthen mathematical skills through understanding the relationship between logarithms and exponential functions, mastering graphing methods, and solving logarithmic equations.
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Interactive Video
8th Grade - 12th Grade
Mathematics
Explores the essential characteristics of exponential functions, guiding learners through the identification of growth and decay in mathematical contexts. Enables students to master the ability to match equations to graphs and develop a deeper understanding of the role of initial values and base in exponential functions.
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Interactive Video
10th Grade - University
Mathematics, Physics, Science
Investigate how Euler's formula connects exponential functions to trigonometric relationships, influencing complex number theory and engineering applications. Gain understanding of the fusion of mathematics with real-world phenomena, enhancing skills in solving differential equations and analyzing circuit systems using sinusoidal principles.
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Interactive Video
11th Grade - University
Mathematics
Explore the fundamental concepts of derivatives in exponential functions, emphasizing the unique properties of the constant e and its significant role in calculus. Understand exponential growth, calculate derivatives, and investigate the relationships between exponential functions and their natural logarithmic interpretations. Enhance the ability to apply these concepts to real-world phenomena.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the process of evaluating and graphing exponential functions through detailed instructions on function evaluation and plotting. Develop skills in identifying ordered pairs, understanding the domain and range, and applying exponential growth concepts.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore logarithms with a focus on their role as inverses of exponential functions. Understand the properties of logarithmic functions and gain practical experience in calculating logarithms using various bases. This facilitates a deeper mathematical comprehension and solidifies foundational skills in dealing with exponential relationships.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Focuses on the fundamental principles of exponential functions, highlighting the importance of understanding initial values and common ratios. Learners will be able to define exponential functions, determine initial values, and compute common ratios, thus enhancing their ability to conduct mathematical analysis.
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9th Grade - 12th Grade
Logarithmic Equations - Exponential Growth & Decay - Exponential and Logarithmic Functions
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the challenges involved in using logarithms to solve equations and understand the dynamics of exponential growth and decay. Develop skills in calculating compound interest and working with inverse functions. Enhance your ability to tackle mathematical problems involving logarithms and exponential functions, thereby improving mathematical comprehension and analytical skills.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Focus on mastering the writing of exponential functions derived from word problems, including scenarios like rabbit population growth and salary increases. Develop the ability to identify initial values, compute growth rates, and formulate exponential equations, thereby deepening the understanding of real-world mathematical applications.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Focuses on the intricacies of exponential functions, with an emphasis on graph interpretation, base manipulations, and transformations. Learners develop a deeper understanding of exponential growth, decay, and graphical alterations, enhancing their critical analysis of mathematical functions.
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Interactive Video
8th Grade - 12th Grade
Mathematics
Engage with the exploration of exponential functions by examining their properties and methods for graphing. Focus on understanding key features such as domain, range, intercepts, and asymptotes. Develop skills in identifying these characteristics and grasping the end behavior of exponential functions. Enhance the ability to graph and compare different exponential functions, deepening comprehension of their underlying principles.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore transformations in quadratic functions and inverses of exponential and linear functions. Develop the ability to identify function transformations and compute function inverses, enhancing mathematical problem-solving and analytical skills.
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Interactive Video
11th Grade - University
Mathematics, Other, Physics, Science
Explore the concept of exponential derivatives, focusing on numerical patterns and the unique properties of the constant 'e'. Gain insights into exponential functions, learn how to calculate derivatives, and apply these concepts to real-world situations such as growth models and natural logarithms.
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Interactive Video
7th Grade - 12th Grade
Mathematics, Science
Investigate the characteristics of exponential growth and decay through graphical representation and mathematical analysis. Develop the ability to compare exponential functions and understand their behavior, enhancing skills in graphing and algebraic manipulation.
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Interactive Video
9th Grade - 12th Grade
Mathematics, Biology, Science
Explore exponential growth and decay functions through real-world examples such as bacterial growth and phosphorus-32 decay. Develop skills in writing and solving these functions, gain an understanding of logarithms, and clearly distinguish between scenarios of growth and decay.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Master the advanced techniques of differentiating logarithmic and exponential functions by utilizing properties of natural and common logarithms. Develop expertise in solving intricate derivatives through the practical application of logarithmic properties and differentiation rules.
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Interactive Video
10th Grade - 12th Grade
Mathematics
Develop skills in differentiating exponential and logarithmic functions, focusing on the application of the chain rule and handling functions with different bases. Enhance the ability to solve complex mathematical problems through a deeper understanding of these concepts.
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Interactive Video
10th Grade - University
Mathematics, Physics, Science
Explore the application of Euler's Formula in AC circuit analysis, emphasizing real-world signal processing with sinusoidal inputs. Gain skills in utilizing Euler's Formula to simplify circuit equations and apply superposition principles and exponential sources for effective problem-solving in electrical circuits.
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