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...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 1
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 variant...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2
This task asks learners 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 Bf Us Households
For this task, students 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 their...
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: Getting Down to Basics
In this activity, students explore linear equation models for real-life situations. They learn to find a linear equation when two pairs of related points are on a line.
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: Stepping to the Greatest Integer: Greatest Integer Function
In this activity, students' will use a motion detector to collect position data showing evenly-spaced jumps in value. They will then model this data using the greatest integer function.
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: 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.
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: 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.
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: 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: 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.
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.
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...
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Math Graphs
Houghton Mifflin: Math Graphs: Line of Best Fit 9 [Pdf]
The practice problem has learners sketch a line of best fit, create a linear model, and compare both lines on a calculator. The given points are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Line of Best Fit 10 [Pdf]
The practice problem has learners sketch a line of best fit, create a linear model, and compare both lines on a calculator. The given points are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Line of Best Fit 11 [Pdf]
Students sketch a line of best fit, create a linear model, and compare both lines on a calculator. The given points are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Line of Best Fit 12 [Pdf]
Students sketch a line of best fit, create a linear model, and compare both lines on a calculator. The given points are available in PDF format.
Vision Learning
Visionlearning: General Science: The Scientific Method
Instructional module focusing on the scientific method as a process of investigation into the natural world rather than a linear collection of facts. Site also includes an interactive practice quiz and links relating to the topic.
Khan Academy
Khan Academy: Systems of Inequalities Word Problems
Solve word problems that involve systems of linear inequalities.