Subject

8th Grade - 12th Grade

Understanding Functions - Identification & Evaluation - Function Concepts

Understanding Functions - Identification & Evaluation - Function Concepts

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Understanding Functions - Identification & Evaluation - Function Concepts

8th Grade - 12th Grade

Mathematics

Explore foundational concepts of functions, including identification and evaluation through tables and graph tests. Gain the ability to differentiate between various types of functions and apply key concepts to real-world problem-solving scenarios.

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8th Grade - 12th Grade

[Graph Analysis - Domain and Range from Graphs - Understanding Functions]

[Graph Analysis - Domain and Range from Graphs - Understanding Functions]

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[Graph Analysis - Domain and Range from Graphs - Understanding Functions]

8th Grade - 12th Grade

Mathematics

Investigate methods to identify the domain and range of functions through graphs, addressing specific scenarios such as open and closed intervals. Develop skills to describe and express domains and ranges using interval notation, deepening comprehension of function properties and graphical analysis.

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8th Grade - 12th Grade

Conceptual Analysis - Functions vs. Relations - Mathematical Representations

Conceptual Analysis - Functions vs. Relations - Mathematical Representations

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Conceptual Analysis - Functions vs. Relations - Mathematical Representations

8th Grade - 12th Grade

Mathematics

Explore the fundamental differences between functions and relations in mathematics by examining essential concepts such as graph representations and solving equations. Learn to identify functions and interpret mathematical relationships, enhancing problem-solving and analytical skills within mathematical contexts.

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11th Grade - 12th Grade

Calculus Skills - Functions, Derivatives, and Logarithms

Calculus Skills - Functions, Derivatives, and Logarithms

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Calculus Skills - Functions, Derivatives, and Logarithms

11th Grade - 12th Grade

Mathematics

Study the vital aspects of functions and derivatives with a focus on logarithmic functions, exploring their properties and graphical representations. Develop a deeper understanding of calculus-related mathematical concepts, including the identification of stationary points, the importance of derivatives, and the analysis of graph behaviors.

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10th Grade - 12th Grade

[Comprehending Mathematical Functions - Elements and Transformations - Vector Spaces and Mappings]

[Comprehending Mathematical Functions - Elements and Transformations - Vector Spaces and Mappings]

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[Comprehending Mathematical Functions - Elements and Transformations - Vector Spaces and Mappings]

10th Grade - 12th Grade

Mathematics

Explore foundational concepts of mathematical functions with a focus on elements and transformations within vector spaces. Develop the ability to map vector-valued functions and understand significant applications of transformations, particularly their relevance in fields like video game programming.

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9th Grade - 12th Grade

Operations on Functions - Function Manipulation - Mathematical Functions

Operations on Functions - Function Manipulation - Mathematical Functions

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Operations on Functions - Function Manipulation - Mathematical Functions

9th Grade - 12th Grade

Mathematics

Study and manipulate mathematical functions through operations such as addition, subtraction, multiplication, and division. Develop skills to expand functions, analyze their domains, and address complex function equations using these operations. Gain proficiency in applying these techniques to enhance problem-solving capabilities.

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7th Grade - 12th Grade

Problem Solving Skills - Algebraic Applications - Functions and Graphs

Problem Solving Skills - Algebraic Applications - Functions and Graphs

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Problem Solving Skills - Algebraic Applications - Functions and Graphs

7th Grade - 12th Grade

Mathematics, Science

Explore algebraic applications covering functions, graph interpretation, and real-world mathematical problems related to scenarios such as aircraft travel and mixtures. Enhance skills in analyzing functions and graphs, solving practical mathematical issues, and understanding key algebraic concepts.

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9th Grade - 12th Grade

Understanding Domain and Range - Discrete Relations - Functions and Graphs

Understanding Domain and Range - Discrete Relations - Functions and Graphs

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Understanding Domain and Range - Discrete Relations - Functions and Graphs

9th Grade - 12th Grade

Mathematics

Explore the principles of domain and range within discrete relations using ordered pairs and graphical data. Develop skills to analyze discrete data sets and accurately determine domain and range. Enhance understanding of mathematical functions and their applications in real-world contexts.

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10th Grade - 12th Grade

Function Mapping - Identity & Inverse Functions - Mathematical Structures

Function Mapping - Identity & Inverse Functions - Mathematical Structures

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Function Mapping - Identity & Inverse Functions - Mathematical Structures

10th Grade - 12th Grade

Mathematics

Gain a comprehensive understanding of function mapping with a focus on identity and inverse functions in mathematical frameworks. Develop insights into the operation of functions and the conditions required for a function to be invertible. Strengthen problem-solving abilities in algebraic settings by exploring these fundamental concepts.

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9th Grade - 12th Grade

Function Mapping - Bijective Functions - Understanding Mathematical Functions

Function Mapping - Bijective Functions - Understanding Mathematical Functions

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Function Mapping - Bijective Functions - Understanding Mathematical Functions

9th Grade - 12th Grade

Mathematics

Gain a deep understanding of the fundamental principles of function mapping with a focus on bijective functions. Learn to identify bijective functions, explore their distinct properties, and calculate the number of possible bijective functions using core mathematical concepts. Develop the skills to effectively analyze and work with bijective mappings, enhancing your comprehension of this essential mathematical concept.

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9th Grade - 12th Grade

Invertibility Tests - Understanding Functions - Mathematical Concepts

Invertibility Tests - Understanding Functions - Mathematical Concepts

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Invertibility Tests - Understanding Functions - Mathematical Concepts

9th Grade - 12th Grade

Mathematics

Examine essential mathematical concepts such as functions and invertibility, focusing on domain, range, and line tests. Understand the conditions required for a function to be invertible and develop the ability to apply these principles effectively to solve mathematical problems.

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9th Grade - 12th Grade

Function Composition - Expressions and Problem Solving - Functions in Mathematics

Function Composition - Expressions and Problem Solving - Functions in Mathematics

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Function Composition - Expressions and Problem Solving - Functions in Mathematics

9th Grade - 12th Grade

Mathematics

Explore the complex realm of function compositions by focusing on expressions, substitutions, and patterns. Engaging with these concepts enhances the ability to identify and create function compositions, ultimately improving problem-solving skills and mathematical reasoning.

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9th Grade - 12th Grade

Analyzing Functions - Inverses and Derivatives - Algebra

Analyzing Functions - Inverses and Derivatives - Algebra

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Analyzing Functions - Inverses and Derivatives - Algebra

9th Grade - 12th Grade

Mathematics

Explore the properties and relationships of functions, including their inverses and derivatives. Develop skills in evaluating function values, calculating derivatives, and understanding the connections between a function and its inverse. Enhance mathematical reasoning and analytical skills through this in-depth examination of functions.

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8th Grade - 12th Grade

Analyzing Domain and Range - Rational Functions - Functions and Their Properties

Analyzing Domain and Range - Rational Functions - Functions and Their Properties

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Analyzing Domain and Range - Rational Functions - Functions and Their Properties

8th Grade - 12th Grade

Mathematics

Explore the domain and range of rational functions by focusing on characteristics such as asymptotes and function inputs and outputs. Enhance the ability to determine key function properties, reinforcing the understanding of function behavior in mathematical contexts.

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8th Grade - 12th Grade

Domain and Range Identification - Graphing Linear Functions - Function Analysis

Domain and Range Identification - Graphing Linear Functions - Function Analysis

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Domain and Range Identification - Graphing Linear Functions - Function Analysis

8th Grade - 12th Grade

Mathematics

Explore the concepts of domain and range within the context of linear functions. Learn techniques for graphing and analyzing lines, enabling the accurate determination of domain and range. Develop skills in utilizing graphing methods and applying the vertical line test to thoroughly understand the characteristics of functions.

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10th Grade - 12th Grade

Understanding Functions - Domain & Range Analysis - Mathematical Relations

Understanding Functions - Domain & Range Analysis - Mathematical Relations

Interactive Video

Understanding Functions - Domain & Range Analysis - Mathematical Relations

10th Grade - 12th Grade

Science, Mathematics

Understand the foundational aspects of mathematical functions by identifying their characteristics and analyzing their domain and range. Develop the ability to distinguish relations as functions and comprehend the relationship between independent and dependent variables, thereby enhancing mathematical reasoning skills.

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8th Grade - 12th Grade

Understanding Domain and Range - Interval Notation - Functions Analysis

Understanding Domain and Range - Interval Notation - Functions Analysis

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Understanding Domain and Range - Interval Notation - Functions Analysis

8th Grade - 12th Grade

Mathematics

Learn how to determine the domain and range of various functions using interval notation. Develop the ability to interpret and analyze functions, enhancing proficiency in understanding mathematical concepts related to domain and range.

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9th Grade - 12th Grade

Graph Analysis - Domain and Range - Function Behavior

Graph Analysis - Domain and Range - Function Behavior

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Graph Analysis - Domain and Range - Function Behavior

9th Grade - 12th Grade

Mathematics

Analyze the concepts of domain and range by examining graphs and functions in detail. Enhance understanding of function behavior by identifying critical values and interpreting their impact on the visualization of mathematical functions.

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8th Grade - 12th Grade

Analyzing Domain and Range - Graph Interpretation - Understanding Functions

Analyzing Domain and Range - Graph Interpretation - Understanding Functions

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Analyzing Domain and Range - Graph Interpretation - Understanding Functions

8th Grade - 12th Grade

Mathematics

Learn to identify domain and range from various graph types, emphasizing the interpretation of graphical data in the context of functions. Master skills in determining functional characteristics and effectively using interval notation.

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9th Grade - 12th Grade

Domain and Range Interpretation - Interval Notation - Function Analysis

Domain and Range Interpretation - Interval Notation - Function Analysis

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Domain and Range Interpretation - Interval Notation - Function Analysis

9th Grade - 12th Grade

Mathematics

Explore the fundamental concepts of domain and range in function analysis, with a focus on interval notation and visual graph interpretation. Learners will acquire skills to accurately determine and represent domain and range, thereby enhancing their understanding of function behavior and continuity.

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