11th Grade Mathematical Models Resources

Engage in problem-solving exercises focused on taxicab fare calculations to explore the application of mathematical models in real-life situations. Develop a deeper understanding of mathematical functions and variables, and enhance skills in applying theoretical concepts to practical scenarios.

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.

Exploring the fundamentals of quadratic mathematical models involves understanding vertex form, intercepts, and graph interpretation. Learners will develop skills in writing and analyzing quadratic equations, enhancing their grasp of algebraic concepts and their real-world applications.

Explore multiplication principles through mathematical models, including arrays, area models, bar models, and number lines. Learners will gain confidence in applying these models to solve multiplication problems and discover which model best suits their problem-solving style.

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.

Develop skills in writing quadratic functions by using mathematical models to transform equations into their factored and vertex forms. Gain proficiency in converting quadratic equations while understanding the graphical implications, thus enhancing algebraic modeling capabilities.

Analyze various graph types and recognize their distinctive features through diverse examples. Achieve proficiency in identifying, labeling, and summarizing data across different graph formats, thereby improving data interpretation capabilities.

Explore electrical measurements and foundational principles, including Ohm's Law, and understand the characteristics of series and parallel circuits. Gain skills to analyze and solve problems related to current, voltage, and resistance across different circuit configurations.

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 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 fundamental concepts of modeling in physics and engineering, focusing on scalar and vector quantities, computer-aided design, and various types of modeling such as graphical, mathematical, and physical. Gain a deeper understanding of displacement and distance, engage in computational thinking, and apply these concepts to real-world scenarios to enhance problem-solving and decision-making skills.

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.

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

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 mathematical models with a focus on essential functions and their applications in real-world contexts. Gain the ability to identify, analyze, and construct models that represent various physical situations. Understand the domain and range of functions and develop skills in interpreting mathematical graphs.

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.