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ResourceSpotlight
Students will explore zooming in on various functions including piecewise functions. They will investigate the concept of local linearity. This introductory calculus activity has strong connections to many calculus concepts including slope, limit of a difference quotient, the definition of the derivative, and the criteria for differentiability.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore the link between Pascal's Triangle, the Binomial Theorem, and binomial probability experiments.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore translations, compressions, and stretches of the parent function graph f(x) = x2 and f(x) = x3.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will use polynomial regression to develop and assess the fit of equations modeling data. The equation models are then evaluated for reasonableness in their use for extrapolating beyond the given data sets.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will run two experiments that involve simulating pouring out coins from a bag. They will collect the data and graph it, using different methods to find equations to model the data. Then students will find the inverse of the data and corresponding equation to model it.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore interest related to consumer loans, credit, and savings accounts.
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Texas Instruments, Inc.
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ResourceSpotlight
Students discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases. Students explore the hypothesis that the two functions are related by a constant first by viewing a table of values, then by exploring different values for the two bases. Finally, they prove the change of base rule algebraically and apply it to find the sum of the two original functions.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore logarithmic equations relating to sound intensity and pH.
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Texas Instruments, Inc.
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ResourceSpotlight
Students explore vertical and phase shifts of sine and cosine functions, after a brief review of period and amplitude. Students will manipulate sliders to change the values of parameters in trigonometric functions; they will determine the effect that each change has upon the shape of the graph. They will then use this knowledge to write a sine function as a cosine function.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will sinusoidal regression to determine equations to model various data sets and use the equations to make inferences.
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Texas Instruments, Inc.
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