Texas Instruments
Texas Instruments: Stepping to the Greatest Integer: Greatest Integer Function
In this activity, students' will use a motion detector to collect position data showing evenly-spaced jumps in value. They will then model this data using the greatest integer function.
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: Identifying Function Models: Linear, Exponential, and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Learn how to distinguish between linear, exponential, and quadratic models.
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...
Texas Instruments
Texas Instruments: Step by Step
In this activity, students take distance readings as they walk in front of a CBR. They apply the properties of a linear function to develop a model for the motion and interpret the values used in the model. Students learn to graph...
Texas Instruments
Texas Instruments: Step by Step Activity Data Collection & Analysis
In this activity, students create a situation that produces linear behavior by stepping heel to toe and taking distance readings as each step is taken. Students then apply the properties of a linear function to develop a model for motion.
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: 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...
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: Functions and Linear Models
The online quiz assesses student comprehension of math concepts. The quiz consists of true/false questions about functions and linear models.
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
Other
Georgia Perimeter College: Linear Equations and Inequalities in One Variable
This resource provides a look at linear equations and inequalities, from how to solve them to how to use them as models for word problems, with lots of examples.
Texas Instruments
Texas Instruments: Using Linear Programming in Real Life Problems
In this activity, students explore linear equation models for real-life situations.
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...
TeachEngineering
Teach Engineering: Applications of Linear Functions
This lesson plan culminates the unit with the Go Public phase of the legacy cycle. In the associated activities, young scholars use linear models to depict Hooke's law as well as Ohm's law. To conclude the lesson plan, students apply...
Illustrative Mathematics
Illustrative Mathematics: F Le Boiling Water
Young scholars are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however,...