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Approximate Solutions Using A Table Interactive Videos
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Solving Trigonometric Equations - Multiple Angles - Sine Function
10th Grade - 12th Grade
Mathematics
Explore solving trigonometric equations with multiple angles by utilizing substitution to simplify complex sine functions. Gain proficiency in solving these equations, calculating inverse trigonometric functions, and applying these techniques to determine solutions across various quadrants.
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Evaluating Inverse Cosecant - Reference Triangles & Unit Circle - Trigonometric Functions
9th Grade - 12th Grade
Mathematics
Explore concepts of evaluating inverse cosecant values using reference triangles and the unit circle within trigonometry. Develop skills to rationalize expressions and identify angle quadrants, enhancing understanding of inverse trigonometric functions.
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Simpson's Rule - Numerical Integration - Calculus Concepts
9th Grade - 12th Grade
Mathematics
Explore numerical integration principles using Simpson's Rule to estimate definite integrals from data tables. Develop skills in mathematical estimation, gain an understanding of quadratic functions, and enhance the ability to interpret data in calculus-based problem-solving.
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Conceptual Visualization - Integrals & Derivatives - Calculus Basics
11th Grade - University
Mathematics
Explore the fundamental principles of calculus by focusing on an intuitive and visual understanding of integrals and derivatives. Learners will gain insight into key calculus concepts and apply mathematical thinking to solve real-world problems.
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Understanding Calculus Concepts - Integrals and Geometry - The Essence of Calculus
11th Grade - University
Mathematics
Explore the fundamental principles of calculus through visually engaging methods, starting with the geometric interpretation of a circle. Build knowledge of integral concepts and understand the connection between integrals and derivatives, enhancing comprehension of calculus applications in solving practical problems.
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Derivatives and Series Expansion - Exploring Maclaurin Series in Calculus
9th Grade - 12th Grade
Mathematics
Explore the Maclaurin series with a focus on the mathematical function e^x and its derivatives. Gain skills in approximating functions using series representations and discover connections between exponential and trigonometric functions. This enhances calculus and mathematical analysis abilities.
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Inverse Functions - Derivative Analysis - Calculus Concepts
10th Grade - 12th Grade
Mathematics
Exploration of inverse functions and the calculation of their derivatives, with a focus on graphical representation and calculus rules. Develop skills in calculating inverse functions and conducting graphical analysis, leading to an enhanced understanding of mathematical concepts and improved problem-solving abilities.
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Interactive Video
Using the Midpoint Rule - Calculating Double Integrals
10th Grade - 12th Grade
Mathematics
Explore the application of the Midpoint Rule to estimate double integrals over a square region, enhancing comprehension of contour maps and partitioning techniques. Develop proficiency in applying mathematical techniques for integration and learn to approximate complex integrals effectively.
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Understanding Limits - Tangent Line Justifications - L'Hôpital's Rule in Calculus
10th Grade - 12th Grade
Mathematics
Explore the application of tangent lines to justify L'Hôpital's Rule, focusing on approximating limits in indeterminate forms such as 0/0. Gain a deeper understanding of graphical analysis and apply this knowledge to evaluate limits using tangent line approximations.
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Graphing Techniques and Polynomial Solutions - Principles of Graphing - Algebraic Equations
8th Grade - 12th Grade
Mathematics
Develop skills in identifying graph intersections to approximate solutions for polynomial equations and analyze polynomial graphs to understand the significance of these solutions. This exploration focuses on principles of graphing techniques to find solutions for polynomial equations.
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Interactive Video
Calculus Fundamentals - Visual Learning - Understanding Integrals and Derivatives
11th Grade - University
Mathematics
Explore fundamental calculus concepts through engaging visual approaches, starting with the geometry of a circle and progressing to integral and derivative applications. Learners will deepen their understanding of calculus and learn to connect theoretical concepts with practical real-world problems.
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Integration Techniques - Real-World Applications - Calculus Concepts
10th Grade - 12th Grade
Mathematics
Explore the use of integration for calculating averages and addressing real-world problems through calculus. Gain a deeper understanding of the inverse relationship between integrals and derivatives, and learn to apply these skills to effectively solve mathematical challenges.
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Interactive Video
Graph Linear Functions - Discrete and Continuous Domains - Mathematics
10th Grade - 12th Grade
Mathematics
Exploration of linear function representation through graphs, highlighting the differences between discrete and continuous domains. Develop the skills to graph linear equations, identify data types, and apply these concepts to real-world contexts.
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Interactive Video
Vision Science - Anatomy of the Eye - Visual Functionality
9th Grade - 12th Grade
Mathematics
Examine the intricate mechanics of human eye function by focusing on essential components such as the cornea, iris, lens, and retina. Gain insights into visual processing and understand each eye part's role in maintaining vision, enhancing comprehension of biological systems and sensory mechanisms.
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Interactive Video
Analyzing Quadratic Inequalities - Sign Table Method
11th Grade - 12th Grade
Mathematics
Explore the analysis of quadratic inequalities through the intricacies of the sign table method. Gain the ability to identify quadratic roots and effectively apply sign tables in solving inequalities, developing a deeper understanding of analytical techniques for quadratic expressions.
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Trigonometric Functions - Evaluation & Inverse - Comprehensive Trigonometry Review
9th Grade - 12th Grade
Mathematics
Explore core trigonometry concepts with a focus on evaluating trigonometric functions and understanding inverse functions. Master the skills of calculating exact and approximate values, applying inverse trigonometric functions, and efficiently solving complex trigonometric problems.
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[Understanding Step Functions - Video Quiz - Mathematics]
9th Grade - 12th Grade
Mathematics
Understand the characteristics of step functions through graphical analysis, emphasizing comprehension of their operation and identifying unique features such as horizontal segments and vertical jumps.
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Interactive Video
Calculus Skills - Rates of Change - Understanding Derivatives
9th Grade - 12th Grade
Mathematics
Examine the fundamental concepts of rates of change, with a focus on both average and instantaneous rates through calculus principles such as derivatives and tangent lines. Learners will be able to calculate derivatives, estimate instantaneous rates, and interpret graphs effectively by the end of this lesson.
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Interactive Video
Visual System Functionality - Anatomy of the Eye - Biological Processes
9th Grade - 12th Grade
Mathematics
Explore the intricate anatomy and functionality of the human eye by focusing on critical components such as the cornea, iris, lens, and optic nerve. Understand how these parts collaborate to facilitate vision, gaining insights into key biological processes and the fundamental role of eye structures in perception.
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Interactive Video
Calculus - Power Series - Applications in Differentiation and Integration
10th Grade - 12th Grade
Mathematics
Explore the intriguing applications of power series within calculus, focusing on the differentiation and integration of functions. Learners will develop the ability to approximate derivatives and integrals utilizing power series, thereby deepening their comprehension and enhancing problem-solving skills in advanced mathematics.
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