Texas Instruments
Texas Instruments: Stay Tuned: Sound Waveform Models
In this activity, students' will record the sound waveform of a tuning fork and analyze the waveform to determine frequency, period and amplitude information. They will model the waveform using trigonometric functions.
Texas Instruments
Texas Instruments: The Linear Force Relation for a Rubber Band
In this activity, students' will use a force sensor and a motion detector to study the relationship between the force applied to a rubber band and the distance to which it stretches. They will then model force versus strech data with a...
Khan Academy
Khan Academy: Linear Models Word Problems
Solve general word problems about real-world relationships that can be modeled by linear equations or functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
CK-12 Foundation
Ck 12: Algebra Ii: 1.14 Polynomial Models
Learning to express real-life situations as mathematical functions (models) allows seemingly complex ideas and actions to be broken down into smaller, simpler parts and analyzed. In this section are three types of of those models:...
Other
Desmos: Charge!
In this interactive application of linear modeling, students make a prediction about the length of time it would take to charge a smartphone. They then work through a series of steps where they sketch their prediction, extend a table of...
Massachusetts Institute of Technology
Mit: Open Course Ware: Introduction to Probability and Statistics
The online course consists of educational materials about probability and statistics. Lecture notes, exams, and assignments are included.
CK-12 Foundation
Ck 12: Algebra: Graphs of Linear Models of Direct Variation
[Free Registration/Login may be required to access all resource tools.] Students will write, graph, and solve direct variation models for real-world problems. Students examine guided notes, review guided practice, study vocabulary, watch...
CK-12 Foundation
Ck 12: Algebra: Applications Using Linear Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn how to use various forms of linear equations to solve problems. Students watch a video tutorial, explore guided notes and attempt...
Texas Instruments
Texas Instruments: Chill Out: How Hot Objects Cool
Students use a temperature probe to collect data as the warmed probe cools. Students investigate Newton's law of cooling and model cooling data with an exponential function. They fit the data to a mathematical model after analysis.
Texas Instruments
Texas Instruments: Graph It in Pieces: Piecewise Defined Functions
In this activity, students' will record motion data for a walker and describe segments of the walker's motion using linear function. They will model the motion data using a piece-wise continuous function assembled from linear functions.
Texas Instruments
Texas Instruments: Take the Train
In this activity, students collect information about the stops made, time taken, and distance covered by a train on one of Amtrak's routes. They find a mathematical model that can best track the train. Students understand concepts...
Texas Instruments
Texas Instruments: Keep It Bottled Up: Linear Rates of Pressure Increase
In this activity, students' examine how temperature affects the rate of gas production during a chemical reaction. They measure this rate by recording the pressure variation using a pressure sensor and model the pressure data using a...
Texas Instruments
Texas Instruments: Step Up
Students learn to use measurements on a real model to develop the concept of slope and linear functions. They use a calculator to explore changing the slopes and Y- intercepts in the slope intercept form Y = MX + B.
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1982 1988
In this task, students are shown a table of U.S. population data between 1982 and 1988 and are asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.B.5 and F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Le Sandia Aerial Tram
For this task, students examine data on the elevation and the minutes into a ride for a tram that is traveling up a mountain and write an equation for the function that models the relationship between the two variables. Aligns with...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Non Linear Models
Students review non-linear models. The resource consists of review exercises on the mathematics concepts.
Other
Siam/mathematical Modelers Look to an Uncertain Future
A summary of error and uncertainty considerations, presented at an annual mathematicians' meeting. Not terribly deep, and covers the gamut of concerns about modeling of the real world with inadequate data or math tools. On target. This...
Texas Instruments
Texas Instruments: What Is Gravity? Activity Modeling Motion
This activity serves as a follow-up to Activity 4 in the Explorations book, Modeling Motion: High School Math Activities with the CBR by Linda Antinone, Sam Gough, and Jill Gough (Texas Instruments Incorporated, 1997).
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: Exponential Models
This lesson introduces students' to Activity Center and represents a suggested TI-Navigator classroom procedure for students to explore an exponential model for the rebound heights of a playground ball.
CK-12 Foundation
Ck 12: Algebra: Linear and Non Linear Patterns of Change
[Free Registration/Login may be required to access all resource tools.] Model and solve real-world problems involving patterns of change
CK-12 Foundation
Ck 12: Analysis: Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating logarithmic functions by comparing to exponential functions and rewriting to solve.
Illustrative Mathematics
Illustrative Mathematics: 8.f Distance Across the Channel
This task asks students to find a linear function that models the relationship between water depth and distance across a channel at water level. After finding the equation, they have to verbalize the meaning of the slope and intercept of...
CK-12 Foundation
Ck 12: Analysis: Linear and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions
Texas Instruments
Texas Instruments: Tight Rope
In this activity, students examine quantities that are linearly related and can be visually represented using a straight-line graph. Students collect distance versus time data using a motion detector and find a model for the...