9th Grade - 12th Grade

Exponential and Linear Functions - Growth and Decay - Mathematical Analysis

Exponential and Linear Functions - Growth and Decay - Mathematical Analysis

Lesson

Exponential and Linear Functions - Growth and Decay - Mathematical Analysis

9th Grade - 12th Grade

Mathematics

Exploration of exponential and linear functions highlights the differences between growth and decay patterns. Learners will develop skills to identify these functions, construct and analyze data tables accurately, and grasp the mathematical principles that dictate these patterns.

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10th Grade - 12th Grade

Advanced Analysis - Exponential Functions - Mathematical Models

Advanced Analysis - Exponential Functions - Mathematical Models

Lesson

Advanced Analysis - Exponential Functions - Mathematical Models

10th Grade - 12th Grade

Mathematics

Explore the mathematical realm of exponential functions by examining their behavior, characteristics, and applications in real-world modeling. Learn to identify exponential growth and decay, solve function-related problems, and distinguish between various types of exponential equations. Enhance analytical and problem-solving skills in mathematics.

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10th Grade - 12th Grade

Understanding Exponential Functions - Growth and Decay - Mathematical Models

Understanding Exponential Functions - Growth and Decay - Mathematical Models

Lesson

Understanding Exponential Functions - Growth and Decay - Mathematical Models

10th Grade - 12th Grade

Mathematics

Explore the concepts of exponential functions by distinguishing between growth and decay models in mathematical contexts. Gain an understanding of the essential principles of exponential change and develop the ability to apply these concepts to real-world scenarios, thereby enhancing critical thinking and problem-solving skills in mathematics.

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9th Grade - 12th Grade

Function Analysis - Linear vs. Exponential Growth - Mathematical Comparisons

Function Analysis - Linear vs. Exponential Growth - Mathematical Comparisons

Lesson

Function Analysis - Linear vs. Exponential Growth - Mathematical Comparisons

9th Grade - 12th Grade

Mathematics

Explore the fundamental differences between linear and exponential functions with an emphasis on real-world examples of each growth pattern. Gain the ability to distinguish between linear and exponential relationships, predict outcomes, and model complex scenarios effectively.

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9th Grade - 12th Grade

Writing Exponential Equations - Identifying Patterns & Forms - Exponential Functions

Writing Exponential Equations - Identifying Patterns & Forms - Exponential Functions

Lesson

Writing Exponential Equations - Identifying Patterns & Forms - Exponential Functions

9th Grade - 12th Grade

Mathematics

Examine writing exponential equations from tables by focusing on identifying patterns and understanding the core elements of exponential functions. Develop the ability to recognize exponential growth and decay and accurately describe the roles of initial values and multipliers in equations.

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9th Grade - University

Exponential Models - Car Depreciation & Investment Growth

Exponential Models - Car Depreciation & Investment Growth

Lesson

Exponential Models - Car Depreciation & Investment Growth

9th Grade - University

Mathematics

Study exponential models through examples such as car depreciation and investment growth. Focus on developing the ability to formulate exponential functions to represent real-world scenarios, thus enhancing understanding of exponential growth and decay dynamics.

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9th Grade - 12th Grade

Understanding Linear and Exponential Functions - Graphs, Tables, and Equations

Understanding Linear and Exponential Functions - Graphs, Tables, and Equations

Lesson

Understanding Linear and Exponential Functions - Graphs, Tables, and Equations

9th Grade - 12th Grade

Mathematics

Explore differences between linear and exponential functions by analyzing graphs, tables, and equations. This study enhances the ability to identify, interpret, and apply these mathematical concepts in real-world contexts.

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9th Grade - 12th Grade

Exponential Growth and Decay - Compound Interest and Mathematical Applications

Exponential Growth and Decay - Compound Interest and Mathematical Applications

Lesson

Exponential Growth and Decay - Compound Interest and Mathematical Applications

9th Grade - 12th Grade

Mathematics

Focuses on mathematical concepts of exponential growth and decay, with an emphasis on compound interest and its real-world applications. Provides a comprehensive understanding of how to calculate future values, interpret exponential functions, and identify percent rate changes.

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10th Grade - 12th Grade

Transformations - Exponential Function Changes - Mathematics

Transformations - Exponential Function Changes - Mathematics

Lesson

Transformations - Exponential Function Changes - Mathematics

10th Grade - 12th Grade

Mathematics

Engage with transformations of exponential functions, covering concepts such as growth, decay, and transformations. Acquire skills to classify and analyze exponential functions, enhancing understanding and application of mathematical transformations in varied contexts.

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9th Grade - 12th Grade

Identifying Appropriate Exponential Models - Equation Application - Mathematical Problem-Solving

Identifying Appropriate Exponential Models - Equation Application - Mathematical Problem-Solving

Lesson

Identifying Appropriate Exponential Models - Equation Application - Mathematical Problem-Solving

9th Grade - 12th Grade

Mathematics

Investigate various exponential models applied to real-world problems in the contexts of appreciation, depreciation, half-life, and continuous growth. Focus on selecting the appropriate exponential formula and applying it to calculate rates of increase or decrease. Enhance mathematical problem-solving abilities by understanding these concepts and their applications.

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9th Grade - 12th Grade

Function Identification - Linear & Exponential Characteristics - Algebraic Concepts

Function Identification - Linear & Exponential Characteristics - Algebraic Concepts

Lesson

Function Identification - Linear & Exponential Characteristics - Algebraic Concepts

9th Grade - 12th Grade

Mathematics

Focuses on the identification and differentiation of linear and exponential functions through various forms, including graphs, equations, and tables. Enhances the ability to recognize function types and apply understanding in real-world contexts, fostering strong algebraic reasoning and analytical skills.

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9th Grade - 12th Grade

Understanding Linear and Exponential Growth - Equations and Multiplier Identification

Understanding Linear and Exponential Growth - Equations and Multiplier Identification

Lesson

Understanding Linear and Exponential Growth - Equations and Multiplier Identification

9th Grade - 12th Grade

Mathematics

Focuses on distinguishing between linear and exponential growth using equations and identifying multipliers within tables. Learners will acquire skills to write equations describing each type of growth and recognize key characteristics of linear versus exponential patterns.

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11th Grade - 12th Grade

The Natural Base 'e' - Euler's Number - Exponential Functions

The Natural Base 'e' - Euler's Number - Exponential Functions

Lesson

The Natural Base 'e' - Euler's Number - Exponential Functions

11th Grade - 12th Grade

Mathematics

Explore the concept of the natural base 'e' and its significance in various applications such as finance and calculus. Learners will recognize Euler’s number, apply exponential growth and decay concepts, and solve mathematical expressions involving 'e'.

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9th Grade - 11th Grade

Modeling - Graphs - Exponential Functions

Modeling - Graphs - Exponential Functions

Lesson

Modeling - Graphs - Exponential Functions

9th Grade - 11th Grade

Mathematics

Graphical representation and modeling of exponential functions are explored to enhance understanding and skills in interpreting and constructing these graphs. Learners will develop problem-solving capabilities and strengthen mathematical reasoning through a focused study of exponential functions.

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9th Grade - 12th Grade

Exponential Growth and Decay - Percentage Increase/Decrease - Mathematical Modeling

Exponential Growth and Decay - Percentage Increase/Decrease - Mathematical Modeling

Lesson

Exponential Growth and Decay - Percentage Increase/Decrease - Mathematical Modeling

9th Grade - 12th Grade

Mathematics

Examine exponential growth and decay by focusing on real-world applications. Explore the conversion of decimals to percentages and vice versa, and model population growth scenarios. Develop the ability to solve problems involving exponential changes and utilize equations for modeling different scenarios.

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9th Grade - 12th Grade

Identifying Patterns - Exponential Functions - Algebra Concepts

Identifying Patterns - Exponential Functions - Algebra Concepts

Lesson

Identifying Patterns - Exponential Functions - Algebra Concepts

9th Grade - 12th Grade

Mathematics

Examine the identification and characteristics of exponential functions with a focus on recognizing patterns and classifying functions. Enhance understanding of exponential growth by determining key components such as common ratios and y-intercepts.

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10th Grade - 12th Grade

Exponential Functions - Growth vs. Decay - Mathematical Concepts

Exponential Functions - Growth vs. Decay - Mathematical Concepts

Lesson

Exponential Functions - Growth vs. Decay - Mathematical Concepts

10th Grade - 12th Grade

Mathematics

Explore the principles, mathematical representations, and real-world applications of exponential growth and decay. Gain a clear understanding of how to distinguish between these functions, interpret their graphs, and apply exponential models to solve practical problems.

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9th Grade - 12th Grade

[Evaluating Exponential Functions - Rate of Change - Applications of Exponential Growth]

[Evaluating Exponential Functions - Rate of Change - Applications of Exponential Growth]

Lesson

[Evaluating Exponential Functions - Rate of Change - Applications of Exponential Growth]

9th Grade - 12th Grade

Mathematics

Examine exponential functions to understand and determine their role in calculating average rates of change. Develop the ability to model real-world scenarios, grasp exponential growth, and apply these functions in various contexts.

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8th Grade - 11th Grade

Identifying and Analyzing Exponential Functions - Characteristics and Application

Identifying and Analyzing Exponential Functions - Characteristics and Application

Lesson

Identifying and Analyzing Exponential Functions - Characteristics and Application

8th Grade - 11th Grade

Mathematics

Examine the fundamental traits of exponential functions, such as identification, initial values, y-intercepts, and growth rates. Upon completion, learners will be able to recognize exponential functions and comprehend their use in mathematical modeling and computations.

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11th Grade - 12th Grade

Function Identification - Parent Functions - Algebra Foundations

Function Identification - Parent Functions - Algebra Foundations

Lesson

Function Identification - Parent Functions - Algebra Foundations

11th Grade - 12th Grade

Mathematics

Engage in a detailed exploration of parent functions with a focus on recognizing and classifying linear, exponential, and quadratic functions in algebraic contexts. Gain a deeper understanding of function properties to accurately align functions with their graphical representations and critically analyze their characteristics.

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