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Interactive Video
8th Grade - 9th Grade
Mathematics
Explore function notation with a focus on its structure, purpose, and common misconceptions. Develop skills to identify and utilize function notation effectively while clarifying misunderstandings regarding its use and application.
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Interactive Video
8th Grade - 9th Grade
Mathematics
Explore exponential functions, focusing on identifying ordered pairs, applying growth factors, and predicting future points in the function. Understand growth patterns and master the calculation of new ordered pairs through engaging examples and explanations, enhancing skills in analyzing and predicting exponential change.
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Interactive Video
7th Grade - 10th Grade
Mathematics
Explore linear functions by understanding the roles of coefficients and variables. Gain the ability to identify key characteristics of linear functions, enhancing skills in analyzing and differentiating function types across various mathematical contexts.
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Interactive Video
7th Grade - 10th Grade
Mathematics, Science, Education
Enhance understanding of graphing exponential functions by focusing on transformations and asymptotes. Identify exponential growth or decay and apply graphing techniques to illustrate these concepts effectively.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the intricate details of inverse trigonometric functions through graphing and analysis, focusing on sine, cosine, and tangent. Gain a thorough understanding of representing these functions graphically while comprehending their domains and ranges, enhancing skills in advanced trigonometry.
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Interactive Video
9th Grade - 12th Grade
Mathematics, Education
Explore the complexities of piecewise functions with an emphasis on graphing techniques and algebraic solutions. Learners will gain the ability to graph piecewise-defined functions, derive formulas from graphical data, and solve equations within specified domains. This will enhance their mathematical problem-solving capabilities significantly.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore graphing techniques of rational functions, focusing on finding intercepts, and identifying asymptotes and holes. Strengthen understanding of solving rational equations and applying domain restrictions to achieve confidence in practical problem-solving and analytical reasoning.
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Interactive Video
10th Grade - 12th Grade
Mathematics
Explore vector-valued functions by understanding their definitions, components, and graphical representations in both two-dimensional and three-dimensional spaces. Gain proficiency in converting vector functions to rectangular form and comprehend how orientation influences the tracing of curves. Enhance your ability to visualize complex mathematical concepts, equipping yourself with skills to analyze and interpret these functions effectively.
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Interactive Video
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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Interactive Video
11th Grade - University
Mathematics, Information Technology (IT), Architecture, Physics, Science
Explore methods for identifying even and odd functions using graphical and algebraic techniques. Develop the ability to analyze function symmetry and comprehend the impact of transformations and polynomial coefficients on the classification of functions.
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Interactive Video
11th Grade - University
Mathematics
Learn methods to determine when a function is increasing, decreasing, or constant by analyzing its graph. Develop skills in graph analysis to accurately identify and understand function behaviors over specific intervals.
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Interactive Video
11th Grade - University
Mathematics
Explore common misconceptions in mathematics by focusing on characteristics of functions, including bounded functions, discontinuities, and end behavior. Develop the skills to accurately identify and analyze function properties, enhancing the understanding of advanced mathematical concepts.
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Interactive Video
11th Grade - University
Mathematics
Learn how to determine whether graphs represent functions using the vertical line test, and understand the concepts of domain and range. Develop skills in identifying graph functionality and learn to express domain and range through set notation. The course emphasizes comprehension of these mathematical principles and enhances ability to analyze and interpret graphs effectively.
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Interactive Video
11th Grade - University
Mathematics
Explore the essential concepts of functions, including function notation and the principles of domain and range. Gain the ability to confidently identify functions and non-functions, apply the vertical line test, and interpret function graphs effectively.
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Interactive Video
11th Grade - University
Mathematics, Information Technology (IT), Architecture, Physics, Science
Explore the techniques and principles involved in graphing polynomial functions, focusing on continuity, smoothness, and identifying zeros. Gain proficiency in accurately plotting polynomial graphs and effectively using graphing utilities, enhancing algebraic problem-solving and analytical skills.
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Interactive Video
11th Grade - University
Social Studies, Mathematics
Understand the intricacies of piecewise functions through graphing techniques and practical application. Develop skills in defining and graphing these functions, enhancing comprehension of dependent and independent variables in real-world contexts.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Investigate inverse trigonometric functions, concentrating on inverse sine, cosine, and tangent. Attain proficiency in evaluating these functions and understanding their ranges and domains. Apply these concepts utilizing the unit circle and reference angles.
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Interactive Video
10th Grade - 12th Grade
Mathematics
Explore the inverse hyperbolic functions, specifically the inverse hyperbolic cosine and sine, focusing on evaluation, formula application, and understanding domain restrictions. Enhance mathematical problem-solving skills and conceptual understanding in higher-level mathematics.
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Interactive Video
8th Grade - 10th Grade
Mathematics
Explore essential concepts of quadratic functions, with an emphasis on graphing techniques and identifying key features such as zeros, axis of symmetry, and vertex. Gain the ability to graph quadratic equations, determine critical points, and use formulas, including the quadratic formula, to solve relevant problems.
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Interactive Video
8th Grade - 10th Grade
Mathematics
Explore quadratic functions by focusing on the vertex and symmetry in graphs. Understand the structure of quadratic functions and develop skills in analyzing graphical representations for real-world applications.
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