11th Grade - 12th Grade

Understanding Graphing Functions and Analyzing Derivatives in Calculus

Understanding Graphing Functions and Analyzing Derivatives in Calculus

Interactive Video

Understanding Graphing Functions and Analyzing Derivatives in Calculus

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

Graphing Linear and Quadratic Functions - Analyzing Graph Translations and Transformations

Interactive Video

Graphing Linear and Quadratic Functions - Analyzing Graph Translations and Transformations

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 Graphing: Functions and Calculator Techniques

Interactive Video

Interactive Graphing: Functions and Calculator Techniques

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

Graphing Functions - Function Analysis and Domain Limitations - Algebra Topics

Interactive Video

Graphing Functions - Function Analysis and Domain Limitations - Algebra Topics

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

Graphing and Analyzing Functions - Domain Restrictions - Function Graphing

Interactive Video

Graphing and Analyzing Functions - Domain Restrictions - Function Graphing

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

Analyzing Derivatives - Graphing Behavior - Function Graphs

Interactive Video

Analyzing Derivatives - Graphing Behavior - Function Graphs

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

Analyzing and Graphing - Functions and Their Intercepts - Mathematics

Interactive Video

Analyzing and Graphing - Functions and Their Intercepts - Mathematics

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

Transformation Identification - Function Families - Graph Transformations

Interactive Video

Transformation Identification - Function Families - Graph Transformations

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

Polynomial Function Graphing - Characteristics & Analysis - Algebra

Interactive Video

Polynomial Function Graphing - Characteristics & Analysis - Algebra

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

Graphing Techniques - Piecewise Functions - Mathematical Analysis

Interactive Video

Graphing Techniques - Piecewise Functions - Mathematical Analysis

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

Graphing Techniques - Asymptotes and Behavior - Rational Functions

Interactive Video

Graphing Techniques - Asymptotes and Behavior - Rational Functions

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

Understanding Graphical Analysis - Relative and Absolute Extrema - Calculus Concepts

Interactive Video

Understanding Graphical Analysis - Relative and Absolute Extrema - Calculus Concepts

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

Understanding Piecewise Functions - Linear, Quadratic, & Absolute Value Analysis

Interactive Video

Understanding Piecewise Functions - Linear, Quadratic, & Absolute Value Analysis

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

Understanding Parent Functions - Absolute Value, Quadratics, and Exponentials

Interactive Video

Understanding Parent Functions - Absolute Value, Quadratics, and Exponentials

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

Identifying Points of Inflection - Analysis of Derivatives - Calculus

Interactive Video

Identifying Points of Inflection - Analysis of Derivatives - Calculus

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

Exploring Function Ranges - Linear, Quadratic, and Complex Functions

Interactive Video

Exploring Function Ranges - Linear, Quadratic, and Complex Functions

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

Graphical Transformations - Parent Functions - Algebra

Interactive Video

Graphical Transformations - Parent Functions - Algebra

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

Exploring Logarithmic Functions - Graphing and Transformations - Algebra

Interactive Video

Exploring Logarithmic Functions - Graphing and Transformations - Algebra

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

Identifying Turning Points - Applying Derivatives - Algebraic Function Analysis

Interactive Video

Identifying Turning Points - Applying Derivatives - Algebraic Function Analysis

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

Function Behavior Analysis - Even and Odd Degree Functions - Graphical Interpretations

Interactive Video

Function Behavior Analysis - Even and Odd Degree Functions - Graphical Interpretations

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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