Texas Instruments
Texas Instruments: Tight Rope
In this activity, students examine quantities that are linearly related and can be visually represented using a straight-line graph. Students collect distance versus time data using a motion detector and find a model for the...
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: If the Line Fits
This lesson introduces students to Activity Center and introduces students to the use of symbolic algebra to represent real world situations. They will use Activity Center to contribute equations that model a linear relationship and then...
Texas Instruments
Texas Instruments: Warming Up to Heating Curves
In this activity, students use the CBL 2 to collect temperature data as a sensor warms up in a cup of water. They find an appropriate mathematical model for the resulting data set.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 7 [Pdf]
Learners use a given scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]
Learners use a scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 1
This task asks young scholars to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...
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. Young scholars are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential...
Illustrative Mathematics
Illustrative Mathematics: F if a Sse Modeling London's Population
In this task, students are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...
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...
Khan Academy
Khan Academy: Ordered Pair Solutions to Linear Equations
Determine which ordered pair represents a solution to a graph or equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Missouri State University
Missouri State U.: Multivariate Statistics: Concepts, Models, and Applications
This site features an online textbook with very in-depth information about multivariable statistics. (NOTE: In the archived version, some images do not appear. However, many of them are multiple-choice questions for students, and if you...
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Illustrative Mathematics
Illustrative Mathematics: S Id.6a,7 Olympic Men's 100 Meter Dash
This task asks students to identify when two quantitative variables show evidence of a linear association and to describe the strength and direction of that association. Students will use a scatterplot showing the finishing times for the...
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: 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: Light Years Away
In this activity, students develop models for a light year and compare numbers written in scientific notation and in standard notation.
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...
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Texas Instruments
Texas Instruments: Tic, Toc: Pendulum Motion
In this activity, students' will use a motion detector to plot the position versus time graph for a swinging pendulum. They will determine the period of the motion and model the position data using a cosine function.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 5 [Pdf]
Learners 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]
Learners evaluate a scatter plot to determine the relationship between two variables. The scatter plot is available in PDF format.
Illustrative Mathematics
Illustrative Mathematics: F le.a & N Rn Extending the Definitions of Exponents 2
A biology student is studying bacterial growth. She was surprised to find that the population of the bacteria doubled every hour. Aligns with the F-LE.A and N-RN.A.1 standards.
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.