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ResourceSpotlight
In problem 1, students explore the logarithm (base 10) function and compare the functions y = 10x and y = log 10x first through a table of values, then through a graph. In problem 2, students explore logarithms with other bases via tables, graphs, the calculator application and the change of base formula.
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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
In this activity, students will use a temperature probe to generate a cooling curve and develop an appropriate regression equation to model collected data.
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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
Students use a combination of algebra and graphing to discover the properties of logarithms. Problems 1 and 2 cover the Power and Product Properties of logarithms, respectively; Problem 3 covers the Quotient Property in addition to introducing log-log "paper", a grid with a logarithmic scale on each axis.
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Texas Instruments, Inc.
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ResourceSpotlight
Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
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Texas Instruments, Inc.
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ResourceSpotlight
The main objective of the activity is to find an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, students are asked to search for the base, b, that defines a function f(x)=bx with the property that at any point on the graph, the slope of the tangent line is equal to f(x). The result is approximating the value of e - Euler's number and the base of the natural logarithms.
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Texas Instruments, Inc.
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