High School Constructing Linear & Exponential Functions Resources

Explore the construction and analysis of linear and exponential functions through problem-solving tasks involving equations in tables, graphs, and real-life scenarios. Develop skills to identify and model these functions, enhancing the ability to apply mathematical concepts to solve practical problems.

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.

Explore the construction and interpretation of linear functions, focusing on identifying slopes and y-intercepts from graphs, tables, and real-world scenarios. Gain the ability to model linear relationships, define variables and parameters, and apply these concepts effectively to solve problems.

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.

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.

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.

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.

Focus on identifying and classifying various parent functions, including quadratic, exponential, and cube root functions. Enhance the ability to recognize different function types, understand their domains and ranges, and develop skills in graph interpretation and function analysis.

Exploring the fundamental differences between linear and exponential functions, this content emphasizes characteristics such as constant addition versus multiplication. Learners will differentiate between these functions through tables, equations, and real-world scenarios, enhancing their ability to identify and describe various mathematical models.

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 the distinctions between linear and exponential functions by answering a series of questions and examining examples. Gain the ability to differentiate these functions, interpret associated graphs and tables, and solve relevant equations to build a foundation for advanced mathematical problem-solving skills.

Differentiate between linear and exponential functions by exploring their real-world applications, such as creating knitting patterns and organizing tennis tournaments. Develop the skills to identify and model these functions, enhancing mathematical reasoning and problem-solving abilities.

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 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.

Analyze the differences between linear and exponential functions through graph analysis and equation identification. Develop skills in distinguishing these function types and accurately match them to corresponding equations. This process enhances algebraic understanding and interpretation of graphs.

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.

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.

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.

Focus on understanding exponential functions by identifying and distinguishing between exponential growth and decay. Develop skills in analyzing functions to comprehend key aspects such as y-intercepts and horizontal asymptotes, which enhances the ability to interpret mathematical graphs and solve related equations.