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Wolfram Research
Wolfram Math World: Linear Regression Model
A basic definition for what linear regression is can be found here. Examples of forms of linear regression are also given.
Khan Academy
Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations
This lesson focuses on Interpreting and analyzing linear, quadratic, and exponential models and graphs. Students will use best fit lines to interpret contexts, distinguish whether contexts are linear or exponential functions, use the...
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.
PBS
Pbs: Black Kingdoms of the Nile
A geometry lesson that examines the history and structure of ancient pyramids and engages students in constructing pyramid models. A comprehensive lesson that considers students with diverse learning styles. Math concepts introduced...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Dido and the Foundation of Carthage
According to ancient legend, Dido made a deal with a local ruler to obtain as much land as she could cover with an oxhide. Dido interpreted "cover" in an imaginative way and the land she obtained became the site of the important ancient...
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: 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...
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: Population Change
This lesson introduces students to Activity Center and is intended to help students develop the understanding of how use population information to compute populations, changes and to develop population models to make predictions.
Texas Instruments
Texas Instruments: Bounce Back
In this activity, students will explore the rebound height of a ball and develop a function that will model the rebound heights for a particular bounce. The model can then be used to predict the height of the ball for any bounce.
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.
Texas Instruments
Texas Instruments: Light Years Away
In this activity, students develop models for a light year and compare numbers written in scientific notation and in standard notation.
University of Cambridge
University of Cambridge: Maths and Sports: Project Ideas: World Records
This activity suggests a number of investigative projects, focusing on athletics and swimming, exploring some of the trends between performances in different sports at the same time in history and in the rate of improvement of records...
University of Cambridge
University of Cambridge: Maths and Sports: The Speed of the Game
Team games like football, hockey, basketball, handball and wheelchair rugby are played on pitches or courts of different sizes with different numbers of players. The density of players on the pitch plays a significant role in determining...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 5 [Pdf]
Students evaluate a scatter plot to determine the relationship between two variables. The scatter plot is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 6 [Pdf]
Students evaluate a scatter plot to determine the relationship between two variables. The scatter plot is available in PDF format.
Texas Instruments
Texas Instruments: Ball Bounce
This activity allows students to use real data obtained by them to model quadratic equations. students can use the TI-83 and/or TI-84 and a motion detector to collect their data. The students will then manually fit both quadratic and...
Texas Instruments
Texas Instruments: Women's 5000 M World Record Progression: Median Median Line
In this activity, students will collect the Women's 5000 meter progression of world record data and find the median - median line and the linear regression for the data. They will investigate the appropriateness of each of the models.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Solving Equations
This task models how a drawing can be used to represent a linear equation in one variable. Students are then asked to solve equations using algebraic symbols as well as pictures and to comment on issues they see. They are then asked to...
CK-12 Foundation
Ck 12: Algebra: Determining the Equation of a Line
This comprehensive study guide highlights the main terms and formulas needed to determine the equation of a line. Examples are included.
Thinkport Education
Thinkport: Algebra Ii: Regression
Build on your understanding of modeling with linear, quadratic and exponential functions to begin to include other function families.
Texas Instruments
Texas Instruments: Hooke's Law
In this activity, students study Hooke's Law. They understand that stretch on a spring is directly proportional to the force applied to the end of the string. Students observe a spring being stretched as candies are added to a cup...
Texas Instruments
Texas Instruments: Two Hot, Two Cold
In this activity, students collect both Celsius and Fahrenheit temperature data for several water samples of varying temperatures. They use the data to find a conversion equation that will calculate the Fahrenheit temperature for any...