Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Illustrative Mathematics
Rainfall
Ideal for use as an introduction to the idea of inverse functions, this activity investigates rainfall as a function of time. Learners use the data displayed in a table of values to analyze the function and its inverse, including why the...
Illustrative Mathematics
Invertible or Not?
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Texas Instruments
Texas Instruments: Inverse Functions
Review inverse functions with your students using this TI-83 activity. Students will find inverses of given functions, determine whether the inverse is a function, graph both, and check for symmetry through the line y=x. The lesson...
Analyze Math
Analyze Math: Applications and Use of the Inverse Functions
Learners explore applications of inverse functions. Topics investigated are angle of elevation, range, and right circular cones. The activity includes examples on uses of inverse functions in real situations with detailed solutions.
Texas Instruments
Texas Instruments: The Inverse Relationship Between Pressure and Volume
In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.
Texas Instruments
Texas Instruments: Sequence of Bounces Activity Modeling Motion
The student will investigate a function and the function's inverse.
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.
Texas Instruments
Texas Instruments: Functions, Relations, and Inverses
This set of questions pertains to definition of functions, relations, inverses, and composition. Questions are multiple choice, true/false, and short answer. Solutions and explanations are included.
Texas Instruments
Texas Instruments: Swing Thing Activity Math and Science in Motion
This activity serves as a follow-up to Activity 10 in the Explorations book, Math and Science in Motion: Activities for Middle School by Chris Brueningsen, Elisa Brueningsen, and Bill Bower (Texas Instruments Incorporated, 1997).
Texas Instruments
Texas Instruments: Swinging Along Activity Modeling Motion
This activity serves as a follow-up to Activity 14 in the Explorations book, Modeling Motion: High School Math Activities with the CBR.
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.
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...
Texas Instruments
Texas Instruments: The Light Side of Trigonometry
In this activity, students use the TI InterActive! software to develop a model that determines the time of sunrise and sunset and the number of daylight hours in Melbourne on any day of the year. They also determine how the position on...
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.
Texas Instruments
Texas Instruments: The Normal Distribution
In this activity, students will apply the normal density function, normal cumulative distribution function, and inverse normal cumulative function to analyze a population with a normal distribution.
Texas Instruments
Texas Instruments: Phases of the Moon
In this TI InterActive! activity, students study the phases of the moon, plot the fraction of the moon showing each day in a month, and fit the data with an appropriate trigonometric function.
Texas Instruments
Texas Instruments: Swing Your Can
Sinusoidal data already obtained by swinging a can over a meter stick and measuring time and displacement from its resting position using a CBR or CBL with a motion detector. Using the TI-Navigator, you can monitor their "real time"...
Texas Instruments
Texas Instruments: Numb3 Rs: Magnetism
Based off of the hit television show NUMB3RS, this lesson, designed for upper-level high school students, has students linearize the data describing the force of a magnet at various distances. While it is assumed students already know...