12th Grade Multi-scale Modeling Resources

Explore the principles of modeling quadratic functions through real-world scenarios involving projectile motion in sports. Gain the ability to analyze and predict the path of objects by examining the characteristics of parabolas, such as the vertex and intercepts, to enhance understanding of quadratic equations and their practical applications.

Engage in function modeling by applying equations to real-world scenarios, such as calculating discounts. Develop the ability to construct equations to address problems, enhance problem-solving skills, and deepen understanding of direct and inverse variation within mathematical contexts.

Quadratic functions offer a powerful tool for modeling real-world scenarios, particularly in understanding the behavior of projectiles and conducting profit analysis. By exploring vertices and intercepts, learners will gain the skills necessary to solve complex problems involving quadratic equations, enhancing their mathematical proficiency and analytical abilities.

Engage in exploring exponential growth and decay, focusing on real-world applications and mathematical models. Gain expertise in identifying growth and decay factors, modeling exponential trends, and solving complex problems involving these phenomena.

Explore the fundamental concepts of simulations and probability to understand practical applications in various scenarios and models. Gain insights into the reasons for employing simulations, recognize their limitations, and develop skills in designing basic simulations using programming languages such as Python.

Explore quadratic functions by focusing on modeling through point analysis and equation identification. Develop the ability to interpret graphs, calculate key points such as maximum height and ground impact time, and understand the vertex form of quadratic equations. Build proficiency in applying quadratic models to real-world scenarios, which will enhance problem-solving skills and analytical thinking.

Examine the complexities of model development and prototypes, emphasizing both abstract and physical representations grounded in engineering design principles. Build competency in distinguishing between conceptual and mathematical models. Gain expertise in the creation and assessment of effective prototypes, enabling a deeper understanding of their application in various engineering contexts.

Explore mathematical modeling through data interpretation and function analysis. Enhance abilities to identify and apply various mathematical models to real-world data situations.

Explore the utilization of computer simulations to analyze the social dynamics of religion. Gain an understanding of the role of modeling in cultural analysis and develop skills in interpreting data concerning religion's influence on societal structures.

Analyze various real-world scenarios to understand and evaluate the rate of change using linear models and equations. Improve the ability to model relationships between variables and interpret changes in real-life contexts, enhancing problem-solving and mathematical reasoning skills.

Gain insights into various attribution models to understand customer interactions with brands. Develop the ability to effectively allocate resources, maximize ROI, and grasp the significance of different models in marketing strategies.

Engage with the intriguing phenomena of accretion discs and their significant role in cosmology through interactive simulations. Develop skills in creating simulations and gain insights into the scientific principles behind the formation and alignment of accretion discs in space.

Explore virtual simulations to develop skills in modeling applicable to robotics and technology. Gain expertise in constructing and simulating VR models, enhancing problem-solving abilities and understanding of technological systems.

Engage in the study of 3D geometric shapes, focusing on cylinders, spheres, and pyramids. Learners will develop skills to differentiate between various forms and calculate properties such as volume and surface area, enhancing their spatial reasoning and geometric understanding.

Explore the world of 3D shapes and geometric solids, focusing on how forms like cylinders, spheres, and prisms are created and characterized. Develop an understanding of key geometric concepts, gaining skills in recognizing and describing the properties and formulas associated with these shapes.

Exploration of mapping techniques, including remote sensing and topographic mapping, to model Earth's surface features. Develop skills in interpreting geographic data and understanding spatial relationships, enhancing the ability to assess environmental changes and human impact on landscapes.

Explore exponential functions with a focus on growth and decay models and their real-world applications. Gain proficiency in identifying exponential trends and calculating future values, enhancing quantitative reasoning and problem-solving skills.

Investigate exponential growth functions and the principles of compound interest through practical applications and calculations. Gain the ability to determine future investment values, differentiate among various interest compounding methods, and effectively model growth scenarios utilizing mathematical techniques.

Explore the concepts of exponential growth and decay, with a focus on applications in financial mathematics such as compound interest and population growth models. Learn to model real-life situations mathematically, understand exponential functions, and calculate financial growth. Develop essential skills applicable in both academic and practical contexts.

Explore the fundamental principles of exponential growth and decay and how they apply to compound interest calculations and population dynamics. Gain proficiency in calculating future values, distinguishing between different interest types, and understanding the inverse relationship with logarithms, enhancing mathematical reasoning and problem-solving skills.