Illustrative Mathematics
Illustrative Mathematics: F Le Boiling Water
Students 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, students...
Texas Instruments
Texas Instruments: Math Today Challenge Heat Watch
Students will explore linear & quadratic functions to determine how they model the relationship between air temperature & heat index. Once the models are determined students will make predictions about heat index when given a...
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: Sour Chemistry: The Exponential P H Change
In this activity, students' will use a pH sensor to record pH versus time data as an antacid tablet neutralizes acid in lemon juice. They will model the pH data with a modified exponential function.
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, students are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
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...
Texas Instruments
Texas Instruments: A Tall Story
In this activity, students can use the motion detector to measure their current height and obtain a mean value. They will use this and earlier data to plot a graph of height versus age. Students will identify the mathematical model that...
Texas Instruments
Texas Instruments: Titration Curves: An Application of the Logistic Function
In this activity, Students can use a pH sensor to record pH versus base volume data for an acid base titration. They will manually model the curve using a logistic function.
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...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 2 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 3 [Pdf]
Learners use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 4 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
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: Exponential Models and Logarithmic Scales
In this activity, students will analyze exponential growth data and then switch to a logarithmic scale. Includes both an exponential and a linear regression on the data, and asks students to make connections between two forms of...
Illustrative Mathematics
Illustrative Mathematics: S Id, F if Laptop Battery Charge
This task uses a situation that is familiar to students to solve a problem they probably have all encountered before: How long will it take until an electronic device has a fully charged battery? Given data, students perform a variety of...
Texas Instruments
Texas Instruments: Linear Programming Cookie Dough Kits
In this lesson students explore the concept of linear programming. The students model a real life situation with a system of inequalities and then use their graphing calculators to search for a maximum value for an objective function....
Texas Instruments
Texas Instruments: Creating Piece Wise Functions Using Cbr System
In this lesson, students can use the CBR ranger to model walking distance over time. They will walk away from the sensor, back towards the sensor and finally away from the sensor over an interval of 10 seconds. The result should be 3...
Student Achievement Partners
Student Achievement Partners: Penny Circle Task [Pdf]
Students will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
TeachEngineering
Teach Engineering: Latex Tubing and Hybrid Vehicles
This unit gives students the opportunity to make use of linear models in order to make predictions based on real-world data. Students experience how engineers address incredible and important design challenges through the use of linear...
Texas Instruments
Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel
Using data from the USA TODAY graphic "Humidity makes air feel hotter" students will explore linear functions to determine how well they model the relationship between air temperature and heat index. When the model has been determined...
Other
Resources for Implementation: Golf Balls in Water
A lesson in which students model linear data with a linear function to solve a real-world problem.
Khan Academy
Khan Academy: Fitting Quadratic and Exponential Functions to Scatter Plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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...