Texas Instruments
Texas Instruments: Investigating Equations of Lines
In this activity, students explore the equations of lines written in the form: y = mx + b. They move points defining the lines, and view the related changes in the parameters of the equations.
Math Medics
S.o.s. Math: Method of Variation of Parameters
This lesson shows how to solve a nonhomogeneous second order linear equation using variation of parameters and the Wronskian method.
Mathematics Archives
Math Archives: Visual Calculus: Families of Parametric Equations
This site gives an example of parametric equations. The site also gives an animation of how the curve is drawn. Requires the use of Live-Math plug-in, which is free.
Physics Aviary
Physics Aviary: Equations of Motion Lab
You will be adjusting different parameters, such as speed and time accelerating, in this lab to see how they affect the motion of your car. Record the data and then reset your system to make desired changes.
Richland Community College
Richland Community College: Parametric Equations
This is a discussion of how to graph parametric equations, how to enter them into your calculator, and how to eliminate the parameter. The site has examples to help clarify the concept of eliminating the parameter.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Equation of a Sphere
Learn about how many points determine a unique sphere and how many points are needed to create a family of spheres. Dr. Rob works out the equation of a family of spheres given three points and then the equation of a unique sphere can be...
Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
Khan Academy
Khan Academy: Algebra I: Linear Equations Word Problems
Solve word problems about real world relationships that are given in formulas. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Linear Models Word Problems
Solve general word problems about real-world relationships that can be modeled by linear equations or functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Georgia State University
Georgia State University: Hyper Physics: Wave Motion
Two wave graphs depicting a sine wave and relating the various characteristics (wavelength, amplitude, frequency, and period) of a wave to each other. The site includes an interactive JavaScript form in which the visitor enters one...
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Texas Instruments
Texas Instruments: Transformation Graphing App
This App helps students improve graphing comprehension. They input functions, view visual diagrams of functions, and observe changes in the function as the parameters change.
Illustrative Mathematics
Illustrative Mathematics: N q.a.1, a ced.a.1, and N q.a.2: Harvesting the Fields
This task is about farm-workers who are harvesting two fields. Students are presented with a scenario involving two teams of workers, two different sizes of fields, and work spread out over two days. They must calculate how many...
Other
Wpi: Exponential Decay and Effective Medicine Dosage
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
San Diego State University
San Diego State University: Allometric Modeling
This site shows how to use exponential graphs to model AIDS cases. Very detailed site.
Khan Academy
Khan Academy: Interpret Change in Exponential Models: Changing Units
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Wolfram Research
Wolfram Math World: Exponential Decay
MathWorld provides the equation for exponential decay and an explanation of the variables of the equation.
TeachEngineering
Teach Engineering: Eureka! Or Buoyancy and Archimedes' Principle
Students explore material properties in hands-on and visually evident ways via the Archimedes' principle. First, they design and conduct an experiment to calculate densities of various materials and present their findings to the class....
TeachEngineering
Teach Engineering: Bernoulli's Principle
Bernoulli's principle relates the pressure of a fluid to its elevation and its speed. Bernoulli's equation can be used to approximate these parameters in water, air or any fluid that has very low viscosity. Young scholars learn about the...
TeachEngineering
Teach Engineering: Penny Perfect Properties (Solid Liquid Interactions)
Students investigate the property dependence between liquid and solid interfaces and determine observable differences in how liquids react to different solid surfaces. They compare copper pennies and plastic "coins" as the two test...
Texas Education Agency
Texas Gateway: Graphing Conic Sections: Ellipses
Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.
Texas Education Agency
Texas Gateway: Graphing Conic Sections: Hyperbolas
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
Wolfram Research
Wolfram Science World: Elasticity
Over 30 equations which define quantities which server as measurable parameters of an object's elasticity are given. Some equations are derived and the derivations are explained. Highly technical!
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.