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Interactive Video
9th Grade - 10th Grade
Mathematics
Explore function notation for identifying intercepts and graphing linear functions. By engaging with video content, develop the ability to evaluate functions, solve equations, and interpret intercepts graphically, thereby enhancing problem-solving skills in algebra.
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Interactive Video
7th Grade - 10th Grade
Mathematics
Explore function evaluation by understanding and calculating values of functions like f(x) and g(x). Enhance skills in recognizing function rules and applying the distributive property effectively, leading to improved proficiency in mathematical operations.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Study the dynamics of composite and inverse functions by focusing on their evaluation and effective application. Gain a deeper understanding of function evaluation processes, learn how to identify inverse values, and develop the ability to solve complex mathematical problems involving these concepts.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the concept of function composition by learning to evaluate composite functions using both step-by-step methods and direct evaluation. Develop the skills to evaluate, find, and simplify composite functions, thereby enhancing understanding of advanced algebraic techniques.
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Interactive Video
9th Grade - 10th Grade
Mathematics
Explore the concept of rotating functions around the x-axis to determine volumes through examples involving functions such as y = sqrt(x) and y = x². Gain an ability to visualize function rotations, set up integrals for volume calculation, and apply fundamental calculus principles to solve related problems.
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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
9th Grade - 12th Grade
Mathematics
Explore the concepts of definite integrals and antiderivatives through the lens of the Fundamental Theorem of Calculus. Gain the ability to evaluate definite integrals, apply calculus concepts graphically, and understand the significance of area calculations in mathematical analysis.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Understanding the fundamental concept of limits in calculus through graphical representation and comparative function analysis helps learners comprehend how functions behave as they approach specific values. The focus is on developing skills in evaluating and graphing limits, laying the groundwork for more complex calculus topics.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Gain proficiency in evaluating inverse tangent expressions using the unit circle by focusing on simplifying calculations and identifying angles. Develop skills in rationalizing fractions and applying trigonometric principles for accurate problem-solving and angle determination.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore core concepts of analyzing rational functions, including intercepts, asymptotes, and symmetry. Develop skills to factor expressions, determine domains, and accurately graph rational functions, enhancing algebraic proficiency and graph interpretation abilities.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the fundamentals of calculus by grasping the concept of limits, mastering derivative calculations, and applying integration techniques. Acquire essential skills for evaluating functions, determining slopes, and solving calculus-related problems to deepen mathematical understanding and proficiency.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Focus on understanding and using function notation by substituting variables and expressions within algebraic contexts. Gain skills in simplifying expressions, combining like terms, and applying substitution effectively in mathematical functions.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore inverse cosine functions by evaluating expressions, understanding domain and range, and analyzing trigonometric contexts. Gain proficiency in identifying key cosine values using the unit circle and convert these values into degrees and radians. Enhance comprehension of trigonometric evaluations and applications.
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Interactive Video
8th Grade - 10th Grade
Mathematics
Gain a comprehensive understanding of evaluating piecewise functions and analyzing their graph representations. Master the ability to determine function rules for specific values, interpret domain intervals, and effectively analyze graphs, enhancing analytical skills in mathematical contexts.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the evaluation of inverse trigonometric functions by understanding range restrictions and unit circle applications. Develop the ability to evaluate inverse sine, cosine, and tangent functions and apply these concepts to solve trigonometric problems effectively.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the essential concepts of continuity and differentiability, focusing on evaluating limits and examining the behavior of functions at specific points. Learn to understand continuity, assess differentiability, and apply these concepts to address real-world mathematical challenges.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the historical significance and geometric representation of trigonometric functions through a unique case study of a math-related tattoo. Enhance skills in identifying core trigonometric concepts, understanding their practical applications, and appreciating their role in mathematical history.
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Interactive Video
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
9th Grade - 12th Grade
Mathematics
Exploration of evaluating limits in composite functions through graph analysis. Develop skills in analyzing function behavior and interpreting limits from different directions to enhance problem-solving abilities in calculus.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the concepts of differentiability and continuity by evaluating limits in piecewise functions. Understand the relationship between continuity and differentiability, and apply derivative concepts to analyze function properties at specific points.
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