Texas Instruments
Texas Instruments: Linear Functions Modeled by Data
Students submit their own data that can be modeled by a linear function. Students find the line of best fit, and discuss graphs of linear functions.
Texas Education Agency
Texas Gateway: Modeling Data With Linear Functions
Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear...
TeachEngineering
Teach Engineering: Walk the Line: A Module on Linear Functions
This module leads students through the process of graphing data and finding a line of best fit while exploring the characteristics of linear equations in algebraic and graphic formats. Then, these topics are connected to real-world...
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Linear Modeling
In this task, learners are shown a table of world population data and asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Le Choosing an Appropriate Growth Model
The goal of this task is to examine some population data for large cities from a modeling perspective. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...
Khan Academy
Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities grow linearly or exponentially. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
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.
Texas Instruments
Texas Instruments: Fitting an Equation to Bivariate Data
In this activity, students fit a linear least-square regression line to population data. They explore various functions to model the given data.
McGraw Hill
Glencoe Mathematics: Online Study Tools: Self Check Quiz on Linear Functions
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on linear functions. Topics include modeling real-world data with linear functions, scatterplots, and regression...
Texas Instruments
Texas Instruments: Finding Linear Models
Students graph a scatter plot, find average rate of change, develop a linear model, find a linear regression and a median/median line for a set of data graphed in a scatter plot and predict profit.
BBC
Bbc: Statistical Skills: Comparing Data Sets Using Statistics
This site is a demonstration of Comparing data sets using statistics and forming a linear model from a given set of data. Examples and a practice test are included.
ClassFlow
Class Flow: Fitting Models to Data
[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...
Texas Instruments
Texas Instruments: Ball Toss Activity
Students receive data from tossing a ball into the air. They are to graph it, set a window, and analyze the height, how long it was in the air, etc. They then find an equation that models the data.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Texas Instruments
Texas Instruments: Non Linear Association I
This set contains statistics questions regarding non-linear association: straightening data using logarithmic and power transformations. The student analyzes which type of regression will best model the data.
Texas Instruments
Texas Instruments: Linear Relationship Between Weight and Quality
Students use a Force Sensor to collect weight versus number data for a collection of identical pennies and model the data using a linear equation. They will then interpret the slope as it relates to independent and dependent variables.
CK-12 Foundation
Ck 12: Algebra: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw a scatter plot of data, find and draw the function that best fits that data, and make predictions from that information. Students watch...
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: It's a Small World
In this activity, students collect population data for the world on 10 different days and then find a model for the data set assuming that over a short period of time the data can be considered linear. Finally, they evaluate the model...
Texas Instruments
Texas Instruments: Science Today More of u.s.
Students examine the USA TODAY Snapshot "More of U.S.", construct a graph from the data, produce a mathematical model (linear) for the data, determine the rate of change for the data, and make predictions about future population levels.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Fitting Equations to Data
Five problems present practice using data to write equations and linear models. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Thinkport Education
Thinkport: Algebra Ii: Linear, Quadratic and Exponential Regression
Review linear regression and analyze how well this model fits the data. You will also be introduced to residuals and the correlation coefficient, and use these tools to determine whether or not a linear model is the best fit for a set of...
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...
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...