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ResourceSpotlight
Students will explore function notation and transformational graphing of trigonometric functions.
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Texas Instruments, Inc.
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ResourceSpotlight
Students are given the definitions of the six trigonometric functions and how they relate to the unit circle. Then, students are asked to use the unit circle to find the values of the functions at various angle measures to find patterns for each function.
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Texas Instruments, Inc.
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ResourceSpotlight
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find the rule of hidden functions by entering different domain values. They also use a nomograph with three vertical number lines to explore composite functions, including the composition of inverse functions.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore the different transformations of several polynomial functions. First they will use spreadsheet to investigate the changes of the y values as a value is added to or multiplied by the function. Then, students will confirm their conjectures using a minimized slider on a graph page. Several questions at the end of the activity assess students’ understanding of the transformations.
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Texas Instruments, Inc.
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ResourceSpotlight
Students systematically explore the effect of the coefficients on the graph of sine or cosine functions. Terminology describing the graph's amplitude, period, frequency, phase shift, baseline, and vertical offset is introduced, then reinforced as the student calculates these values directly from the graph using the handheld's geometry and measurement tools.
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Texas Instruments, Inc.
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ResourceSpotlight
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find the rule of hidden functions by entering different domain values. They also use a nomograph with three vertical number lines to explore composite functions, including the composition of inverse functions.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore how the constant of variation, k, affects the graph of direct and inverse variations. Students will apply what they have learned to real-world problems. As an extension or homework, students determine the type of variation of the given graph and then calculate the constant of variation.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore how the constant of variation, k, affects the graph of direct and inverse variations. Students will apply what they have learned to real-world problems. As an extension or homework, students determine the type of variation of the given graph and then calculate the constant of variation.
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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
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.
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Texas Instruments, Inc.
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