Illustrative Mathematics
Illustrative Mathematics: F Bf Rainfall
In this task, students are asked to analyze a function and its inverse when the function is given as a table of values. In addition to finding values of the inverse function from the table, they also have to explain why the given...
Illustrative Mathematics
Illustrative Mathematics: F Bf Graphs of Compositions
This task addresses an important issue about inverse functions. In this case, the function f is the inverse of the function g but g is not the inverse of f unless the domain of f is restricted. Aligns with F-BF.A.1.c.
Texas Instruments
Texas Instruments: Computing by Degrees!
In this activity, students use the calculator to solve trigonometry problems using sine, cosine, and tangent. They also find inverses of trigonometric functions.
Math Medics
S.o.s. Math: The Derivative
Very nice lesson on taking the derivative of a function and its inverse.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funciones Trigonometricas E Inversas
Learn about trigonometric functions and their inverses with this interactive unit.
Illustrative Mathematics
Illustrative Mathematics: F Bf Us Households
For this task, young scholars are asked to find a linear function which models the number of households in the U.S. as a function of the year. They are also to construct and use an inverse function to model the context, and interpret...
Texas Instruments
Texas Instruments: Learning Pre Calculus With the Ti 89
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
Illustrative Mathematics
Illustrative Mathematics: F Bf Latitude
For this task, students are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
CK-12 Foundation
Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Khan Academy
Khan Academy: Intro to Inverse Trig Functions
Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Math Is Fun
Math Is Fun: Sine, Cosine, Tangent
Students learn about the sine, cosine, and tangent functions. The tutorial consists of notes, examples, and practice problems to check for comprehension.
CK-12 Foundation
Ck 12: Trigonometry: Product to Sum Formulas for Sine and Cosine
[Free Registration/Login may be required to access all resource tools.] Examples of how to transform a product of trigonometric functions into a sum of trigonometric functions
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius
In this task involving temperature conversions, students construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns with...
Texas Instruments
Texas Instruments: Light at a Distance: Distance and Light Intensity
In this activity, students can use a light sensor to record the light intensity at various distances from a bulb. They will compare the data to an inverse square and a power law model.
Texas Instruments
Texas Instruments: Mm Cas 2002 Exam 1 Part 1 : Sample Solutions Q1 & Q7
Students use the Derive software to solve problems on trigonometric functions.
Texas Instruments
Texas Instruments: Geometric Representation of Trig Functions
Using similar triangles, a relationship is established between the six trigonometric functions of an angle and simple line segments. These relationships are then confirmed using line segment measurement capabilities of the graphing...
Other
Radford University: One to One and Inverse Functions
This site from the Radford University provides a concise mathematical definition of one-to-one and inverse functions.
Clark University
Clark University: Dave's Short Trig Course
This Clark University trigonometry tutorial site features questions and answers about what students can learn from trigonometry.
Texas Instruments
Texas Instruments: Flipping a Penny
In this activity, students will explore two functions which are inverses of each other. They also explore their characteristics and understand how they reverse each other's operation.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Familia De Funciones
Ministerio de Educacion y Ciencia: familia de funciones
University of Texas at Austin
Mathematics Teks Toolkit: Cricket's Natures Thermometer
Compare the chirps of different crickets and in various temperatures.
Other
Karl's Calculus Tutor: Trigonometric Functions
Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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