Filter your results
Interactive Video
10th Grade - 12th Grade
Mathematics
Explore linear dependence and independence through engaging examples and trigonometric identities. Enhance the ability to identify, verify, and solve equations involving function constants, boosting understanding of linear algebra relevant to high school and college-level mathematics.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics, Science
Understand how to determine the end behavior of polynomial and exponential functions. Learn the significance of the leading term in polynomials, which dictates their end behavior. Identify and distinguish between growth and decay in exponential functions, enhancing the ability to classify and describe these functions accurately.
See more
Interactive Video
8th Grade - 12th Grade
Mathematics
Discover the process of writing exponential functions by using key points to determine initial values and calculate the base. Develop skills in graphing these functions and gain a thorough understanding of exponential decay. Enhance algebraic problem-solving abilities and conceptual understanding of mathematical relationships.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore exponential functions through their representation on semi-log graphs, focusing on critical concepts like slope calculation and logarithmic conversions. Develop mathematical analysis skills by mastering the conversion of logarithmic equations into exponential form and accurately calculating exponential constants for graphing purposes.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the diverse growth patterns of turtle populations on different islands through linear, exponential, and quadratic growth models. Engage with examples and explanations to identify and compare these models, developing analytical skills to apply these concepts effectively in real-world scenarios.
See more
Interactive Video
11th Grade - University
Mathematics
Explore the process of finding derivatives using the chain rule, focusing on the combination of exponential and hyperbolic functions. Gain skills to differentiate composite functions and apply the chain rule effectively, reinforcing core competencies in calculus.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics, Education
Discover how to model changes in student populations through the use of linear and exponential functions, focusing on growth and decay factors within mathematical models. Learn to effectively identify and use function notation to analyze real-world population trends. Gain skills in applying mathematical concepts to observe and interpret population dynamics, ensuring a firm understanding of both linear and exponential growth and decay. Develop analytical capabilities necessary for assessing trends in various contexts.
See more
Interactive Video
10th Grade - 12th Grade
Mathematics
Distinguish between linear and nonlinear functions by examining equations, graphs, and tables. Develop skills in identifying function types and gain an understanding of key mathematical concepts, such as the constant rate of change and slope-intercept form, to enhance mathematical proficiency and analytical thinking.
See more
Interactive Video
10th Grade - 12th Grade
Mathematics
Learn the principles of linear independence for vector-valued functions, focusing on the hyperbolic cosine and exponential functions. Develop skills in solving vector equations and distinguishing linear dependence from independence, enhancing understanding of these mathematical concepts.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore exponential and logarithmic functions by examining their properties, graphing techniques, and real-life applications such as compound interest. Strengthen mathematical skills through understanding the relationship between logarithms and exponential functions, mastering graphing methods, and solving logarithmic equations.
See more
Interactive Video
8th Grade - 12th Grade
Mathematics
Explores the essential characteristics of exponential functions, guiding learners through the identification of growth and decay in mathematical contexts. Enables students to master the ability to match equations to graphs and develop a deeper understanding of the role of initial values and base in exponential functions.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the dynamic patterns of turtle population growth on various islands through linear, exponential, and quadratic models. Gain an understanding of how these growth models differ and learn to identify them using mathematical methods applied to real-world biological data.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the key features of exponential functions, focusing on asymptotes and graph behavior. Develop skills in identifying these features and applying exponential models to real-world scenarios.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics, Science, Biology
Investigate exponential functions through real-life contexts, such as bacterial growth and bouncing baseball examples. Develop the ability to write and graph exponential functions, comprehend growth and decay principles, and identify essential elements like initial values and common ratios.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the inverse relationship between exponential and logarithmic functions to gain insights into their comparison and contrast. Gain the ability to identify these functions on graphs and understand their implications in mathematical contexts.
See more
Interactive Video
8th Grade - 12th Grade
Mathematics
Engage with the exploration of exponential functions by examining their properties and methods for graphing. Focus on understanding key features such as domain, range, intercepts, and asymptotes. Develop skills in identifying these characteristics and grasping the end behavior of exponential functions. Enhance the ability to graph and compare different exponential functions, deepening comprehension of their underlying principles.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Explore transformations in quadratic functions and inverses of exponential and linear functions. Develop the ability to identify function transformations and compute function inverses, enhancing mathematical problem-solving and analytical skills.
See more
Interactive Video
11th Grade - University
Mathematics
Investigate the domain and range of essential mathematical functions, including linear and quadratic types, to understand their properties and the effects of transformations. Develop skills to apply these concepts effectively in problem-solving and graphing situations.
See more
Interactive Video
7th Grade - 12th Grade
Mathematics, Science
Investigate the characteristics of exponential growth and decay through graphical representation and mathematical analysis. Develop the ability to compare exponential functions and understand their behavior, enhancing skills in graphing and algebraic manipulation.
See more
Interactive Video
9th Grade - 12th Grade
Mathematics
Learners explore the characteristics and properties of logarithmic functions, highlighting their behavior and differences from exponential functions. Completing the study allows students to analyze and compare functions, determine domains, and ranges, and understand the relationships between logarithmic and exponential functions, fostering a deeper comprehension of these essential mathematical concepts.
See more