This set of interactive practice questions allows students of introductory physics to test their own understanding of the graphical depiction of motion. It consists of 37 questions/tasks, with answers provided. Extensive scaffolding is provided in the form of "Explanation" links. Editor's Note: Physics education research shows that students often enter college courses with limited understanding of the meaning behind velocity-time graphs and position-time graphs, even after instruction. This activity lets them self-assess, an important step to achieve deeper understanding. This resource is part of The Physics Classroom web site.
High School — Functions
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Interpreting Functions
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Interpret functions that arise in applications in terms of the context
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4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?
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5. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.?
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Linear, Quadratic, and Exponential Models?
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Construct and compare linear, quadratic, and exponential models and solve problems
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1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
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b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
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c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
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Interpret expressions for functions in terms of the situation they model
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5. Interpret the parameters in a linear or exponential function in terms of a context.
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Reason abstractly and quantitatively.
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Standards for Mathematical Practice
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