11th Grade Constructing Linear & Exponential Functions Resources

Focus on building and analyzing exponential functions related to mathematical modeling. Understand the processes of growth and decay while developing the skills necessary to create and interpret exponential equations. Enhance abilities in real-world applications and computational thinking.

Explore exponential and logarithmic functions with a focus on understanding transformations and their impact on graphs and asymptotes. Develop the skills to identify and apply various transformations, refine graphing techniques, and construct new functions effectively.

Discover the core differences between linear and exponential functions through graph interpretation and equation matching exercises. Gain the ability to construct and analyze mathematical models, enhancing your skills in understanding graph slopes and growth rates.

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.

Explore and contrast linear and exponential functions through equations and real-world scenarios. Develop the ability to differentiate between these function types and apply them to model practical situations, enhancing mathematical reasoning skills.

Explore exponential models to understand growth and decay, focusing on applications in population studies and radioactive decay. Develop skills in writing and interpreting exponential equations, predicting outcomes, and analyzing factors that influence exponential changes.

Explore exponential functions through models and equations, with a focus on principles of growth and decay. Develop skills to identify, construct, and solve exponential function equations, enhancing proficiency in mathematical modeling and problem-solving.

Analyze key characteristics and behaviors of exponential functions, focusing on graph features and intercepts. Strengthen algebra skills by understanding concepts such as common ratios and y-intercepts in exponential functions.

The focus is on understanding and analyzing exponential functions, identifying growth and decay, finding y-intercepts, and matching equations to graphs. Learners will develop skills to solve real-world problems involving exponential changes and enhance their ability to interpret exponential models.

Learn to identify and distinguish between linear and exponential functions by examining graphs. Focus on key concepts such as the slope, y-intercept, and growth patterns. Strengthen skills in constructing and analyzing function equations, enhancing foundational abilities in mathematical graph interpretation and function analysis.

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.

Examine the characteristics of exponential functions, with a focus on graph identification, y-intercepts, and common ratios. Develop the ability to differentiate between growth and decay, gain a comprehensive understanding of function components, and apply exponential function principles to real-world scenarios.

Explore exponential functions, focusing on the key principles of growth and decay models. Practical examples include car depreciation and bacterial culture reduction. Learn to identify and differentiate these models, solve complex exponential equations, and understand their applications in real-world scenarios.

Explore exponential functions through their application in modeling real-world phenomena, including population dynamics, financial growth, and resource decay. Gain proficiency in interpreting exponential equations, calculating rates of change, and applying these concepts to solve practical problems involving growth and decline.

Focus on differentiating and constructing linear and exponential functions through equations and graphs. Achieve mastery in identifying these function types and comprehend their graphical behaviors.

Investigate exponential growth and decay models through practical examples such as bacteria cultures, car depreciation, and population changes. Understand how to formulate equations for real-world scenarios, enhancing skills in mathematical modeling and prediction.

Graphing logarithmic functions involves understanding their connection with exponential functions and interpreting their graphical forms. Learners will examine key properties such as asymptotes, domains, and ranges, and will develop skills to accurately graph these functions using calculators.

Explore key concepts of exponential functions with a focus on growth and decay. Gain the ability to identify exponential growth and decay in equations and understand their impact on graphs, enhancing quantitative reasoning skills.

Investigate the innovative architectural methods employed in constructing the dome of St Paul's Cathedral, with a focus on overcoming engineering challenges and applying mathematical models. Gain insights into structural engineering principles to enhance understanding of historic architectural collaborations and the role of mathematics in design.

Explore the key concepts of eigenvalues and eigenvectors to solve linear homogeneous systems of ordinary differential equations. Develop the ability to apply the eigenvalue method to determine the general solution, enhancing skills in calculating eigenvectors and comprehending their role in the exponential functions of matrices.