12th Grade Mathematical Models Interactive Videos

Explore mathematical models and their role in kinematic equations, covering concepts such as velocity-time graphs and linearization. Learners will understand kinematic equations for motion analysis in physics, graphical motion representation, and skills to linearize complex relationships for improved predictability and analysis.

Analyze mathematical models inspired by Galileo's observations of Jupiter's moons to describe celestial motion. Gain insights into various modeling approaches that provide valuable scientific perspectives and enhance understanding of astronomical concepts.

Explore the impact of mathematical biology on understanding and modeling infectious diseases, focusing on concepts like the SIR model and exponential growth. Enhance analytical skills by applying mathematics to real-world epidemic scenarios.

Explore the intricate structure and organization of DNA, focusing on the double helix design, base pair alignment, and the challenges faced in cellular packaging. Gain an understanding of DNA's geometrical properties and its role in cell biology, enhancing knowledge of molecular biology and genetic organization.

Explore various modeling techniques, examining their limitations and applications within engineering and education. Learners will distinguish between different models, comprehend their advantages, and apply this knowledge to practical scenarios.

Master the process of constructing computational models by understanding underlying phenomena and using spreadsheets for data analysis. Develop the skills to automatically generate outputs and refine models to align with real-world data. Enhance analytical thinking and computational skills by engaging in systematic model building and testing.

Examine the mathematical principles involved in catching Pokémon by focusing on probability theory and distribution models. Gain insights into applying mathematics to model real-world scenarios, while developing skills in data analysis and strategic planning.

Analyze the complexities involved in planning missions to Mars, focusing on key challenges such as fuel management and radiation exposure, and the application of mathematical models. Gain an understanding of how different variables affect mission outcomes and learn the critical role of accurate mathematical modeling in space exploration.

Explore the concept of systems and system models, emphasizing their applications in science and engineering. Learners gain insights into how models enhance understanding, predict outcomes, and serve as crucial tools for engineering projects. The study focuses on developing a clear understanding of system behavior, components, and interactions, offering skills needed for effective model development and analysis. This exploration ensures an ability to apply these concepts in practical scenarios, facilitating improved project outcomes.

Investigate the dynamics of squirrel populations using mathematical models, focusing on factors such as competition and coexistence. Gain an understanding of how mathematical formalism assists in managing populations and predicting ecological outcomes.

Explore the application of mathematical concepts, such as the Poisson and Hawkes processes, in predicting and analyzing crime. Gain insights into statistical strategies for crime prediction, understand the limitations of these models, and examine their practical applications in real-world scenarios.

Explore the complexities involved in modeling tree branch growth using linear and exponential functions. Understand crucial factors that influence the selection of appropriate models and effectively calculate growth metrics. Focus on developing skills in analyzing growth patterns and applying mathematical models effectively.

Explore the influence of different models on our understanding of motion and physics concepts such as Galileo's observations and the Coriolis effect. Gain insights into applying multiple modeling approaches to scientific phenomena, enhancing interpretative skills and critical thinking.

Investigate innovative approaches in modeling human migration patterns through statistical techniques, gaining insights into enhancing predictive models. Apply these models to fields such as epidemiology to understand and anticipate migration-related impacts effectively.

Examine the methods for quantifying and modeling changes within systems by defining system parameters and developing mathematical models. Gain insights into system dynamics and enhance problem-solving skills through the application of mathematical models to real-world scenarios.

Fundamental concepts of scale, proportion, and quantity are crucial in science and engineering. Learners will enhance their skills in utilizing ratios and estimation, grasp the principles of mathematical modeling, and identify various types of growth.

Explore the role of models in science and engineering by examining physical, mental, and structural models. Enhance understanding of model applications and develop critical thinking skills necessary for analyzing complex systems through engaging questions and examples.

Examine the essential function of models in science and engineering, focusing on their application in system analysis, prediction, and design. Gain understanding of various model types, learn techniques for refining and developing models, and explore their practical use in real-world situations.

Explore the world of sticker collecting through principles of probability and cost analysis, with a focus on Panini World Cup sticker albums. Gain understanding of probability concepts, apply mathematical formulas for cost evaluation, and appreciate the social dynamics of collaborative collecting.