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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...
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: Walking the Line
In this activity, students use linear functions to model and solve problems in situations with slope and a constant rate of change. They learn to represent situations with variables in expressions, equations, and inequalities and use...
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.
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
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: 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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Functions and Linear Models
Students review functions and linear models. The resource consists of review exercises on the mathematics concepts.
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.
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.
TeachEngineering
Teach Engineering: Applications of Linear Functions
This lesson culminates the unit with the Go Public phase of the legacy cycle. In the associated activities, students use linear models to depict Hooke's law as well as Ohm's law. To conclude the lesson, students apply they've learned...
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...