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11th Grade - 12th Grade
Understanding Graphing Functions and Analyzing Derivatives in Calculus
Interactive Video
11th Grade - 12th Grade
Mathematics
Gain a comprehensive understanding of graphing functions and analyzing derivatives by mastering essential concepts such as converting parametric equations to Cartesian form, recognizing the significance of the gradient function, and identifying stationary points. Develop a deep comprehension of graph concavity, the function of the y-intercept, and the importance of precise graph visualization to enhance calculus application skills.
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8th Grade - 12th Grade
Graphing Linear and Quadratic Functions - Analyzing Graph Translations and Transformations
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore graphing and analyzing linear and quadratic functions with a focus on transformations like translations and shifts. Develop skills in identifying slopes, y-intercepts, and understanding how coefficients influence graph shapes. Achieve a deeper comprehension of function behaviors and graphical representations.
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8th Grade - 12th Grade
Interactive Graphing: Functions and Calculator Techniques
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore graphing functions to understand their shapes by mastering the TI-Nspire calculator. Develop proficiency in identifying key features of graphs and utilizing calculator shortcuts, enabling the application of these skills to solve mathematical problems effectively.
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8th Grade - 12th Grade
Graphing Functions - Function Analysis and Domain Limitations - Algebra Topics
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the fundamentals of graphing functions, focusing on analyzing different function types and understanding the implications of limited domains in algebra. Develop skills to accurately graph functions, identify key characteristics such as continuity, and comprehend the significance of domain restrictions in real-world applications.
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8th Grade - 12th Grade
Graphing and Analyzing Functions - Domain Restrictions - Function Graphing
Interactive Video
8th Grade - 12th Grade
Instructional Technology, Mathematics, Education, Computers
Exploration of graphing functions with domain restrictions highlights the process of applying these limits to graphs. Learners will gain a thorough understanding of how to determine and depict these domain boundaries, enhance their proficiency in utilizing graphing tools effectively, and grasp the real-world implications of such restrictions.
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9th Grade - 12th Grade
Analyzing Derivatives - Graphing Behavior - Function Graphs
Interactive Video
9th Grade - 12th Grade
Mathematics
Understand how derivatives reveal the graphical behaviors of functions, specifically focusing on intervals of increase and decrease. Learn to identify critical points, which are pivotal in predicting the shape of a graph. By mastering these concepts, gain insights into how functions behave visually.
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8th Grade - 12th Grade
Analyzing and Graphing - Functions and Their Intercepts - Mathematics
Interactive Video
8th Grade - 12th Grade
Mathematics
Focusing on graphing linear, quadratic, and exponential functions, this educational content develops skills in identifying intercepts, determining asymptotes, and evaluating function transformations.
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8th Grade - 12th Grade
Transformation Identification - Function Families - Graph Transformations
Interactive Video
8th Grade - 12th Grade
Mathematics
Examine and comprehend the transformations applied to function families, including horizontal and vertical shifts, reflections, and stretches. Improve the ability to identify and describe these transformations, thereby applying these concepts confidently to various mathematical functions.
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9th Grade - 12th Grade
Polynomial Function Graphing - Characteristics & Analysis - Algebra
Interactive Video
9th Grade - 12th Grade
Mathematics
Analyze the key characteristics of polynomial functions, including degree, intercepts, turning points, and end behavior. Develop skills to predict polynomial graph behavior using mathematical reasoning and problem-solving abilities.
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8th Grade - 12th Grade
Graphing Techniques - Piecewise Functions - Mathematical Analysis
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the fundamentals of graphing piecewise functions, focusing on understanding function values and interpreting graphs. Enhance analytical skills and improve mathematical problem-solving abilities by learning to analyze and graph these functions effectively.
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8th Grade - 12th Grade
Graphing Techniques - Asymptotes and Behavior - Rational Functions
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore graphing of simple rational functions with a focus on understanding and identifying asymptotes and their significance. Gain insights into different types of asymptotes, determination of intercepts, and the overall behavior of rational function graphs. Enhance skills in mathematical graph analysis.
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11th Grade - 12th Grade
Understanding Graphical Analysis - Relative and Absolute Extrema - Calculus Concepts
Interactive Video
11th Grade - 12th Grade
Mathematics
Learners will explore key calculus concepts by analyzing graphs to identify absolute minimums and turning points. The focus is on developing skills in recognizing extrema, understanding graph behavior, and applying derivative tests to enhance the ability to analyze and interpret mathematical functions.
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8th Grade - 12th Grade
Understanding Piecewise Functions - Linear, Quadratic, & Absolute Value Analysis
Interactive Video
8th Grade - 12th Grade
Mathematics
An exploration of piecewise functions covers a range of function types, including linear, quadratic, and absolute value functions. Learners will develop skills to analyze shifts in slopes and intercepts, gaining an understanding of how functions behave under various conditions.
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8th Grade - 12th Grade
Understanding Parent Functions - Absolute Value, Quadratics, and Exponentials
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the foundational aspects of parent functions, focusing on absolute value, quadratic, and exponential functions. Gain an understanding of graph shapes, functional forms, and the behaviors of these mathematical models. Develop essential algebraic problem-solving skills.
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11th Grade - 12th Grade
Identifying Points of Inflection - Analysis of Derivatives - Calculus
Interactive Video
11th Grade - 12th Grade
Mathematics
Analyzing derivatives is crucial for identifying points of inflection in functions, offering insights into graph sketching and understanding function concavity. Master these concepts to improve mathematical problem-solving capabilities.
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8th Grade - 12th Grade
Exploring Function Ranges - Linear, Quadratic, and Complex Functions
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the concept of function ranges by examining various types of functions, such as linear, quadratic, and absolute value functions. Develop the ability to determine and compare the range of these functions, thereby enhancing analytical skills and mathematical understanding.
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8th Grade - 12th Grade
Graphical Transformations - Parent Functions - Algebra
Interactive Video
8th Grade - 12th Grade
Mathematics
Learners will gain a comprehensive understanding of parent functions in algebra and their graphical transformations. They will develop the ability to analyze and describe transformations, enhancing their grasp of mathematical concepts and graphical representation.
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11th Grade - University
Exploring Logarithmic Functions - Graphing and Transformations - Algebra
Interactive Video
11th Grade - University
Mathematics
Explore the graphing and analysis of logarithmic functions with a focus on transformations such as vertical shifts and reflections. Develop skills in identifying domains and ranges and understanding how transformations affect function behavior.
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11th Grade - 12th Grade
Identifying Turning Points - Applying Derivatives - Algebraic Function Analysis
Interactive Video
11th Grade - 12th Grade
Mathematics
Analyze algebraic functions to identify turning points and examine concavity using derivative applications. Develop skills in interpreting function behavior, applying the second derivative test, and effectively solving complex algebraic problems.
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8th Grade - 12th Grade
Function Behavior Analysis - Even and Odd Degree Functions - Graphical Interpretations
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore polynomial functions, focusing on the characteristics of even and odd degree functions and their graphical representations. Understand critical concepts such as end behavior, turning points, and the significance of leading coefficients to enhance mathematical analysis skills.
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