Concord Consortium
Parameters and Clusters II
Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
BW Walch
Linear & Exponential Functions
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Solar Isolation Changes and the Sunspot Cycle
In this sunspot cycle and solar irradiation worksheet, students use 2 graphs of daily total solar irradiance and sunspot activity to solve 3 problems. They find the average solar irradiance during a given time, they determine the...
Bytes Arithmetic
Geometry Pad+
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
Shodor Education Foundation
Rabbits and Wolves
A change in a parameter can end in overpopulation. The resources gives pupils the opportunity to control the parameters of rabbits and wolves in a natural setting. Using the set parameters, the simulation runs and displays the population...
Curated OER
Projectile Motion Lab
For this physics worksheet, students model the position, velocity and acceleration using mathematical formulas and a computer program. Then they interpret the parameters in each of the models. Students also complete the experiment and...
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
Curated OER
Correlation of Variables by Graphing
Middle and high schoolers use a spreadsheet to graph data. In this graphing lesson, learners determine how two parameters are correlated. They create a scatter plot graph using a computer spreadsheet.
Curated OER
Algebra II: Exponential Functions
Young scholars investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, young scholars use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of...
Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
EngageNY
Rotations
Searching for a detailed lesson to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson depending on each parameter. They construct models depending on the...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
Shodor Education Foundation
Plop It!
Build upon and stack up data to get the complete picture. Using the applet, pupils build bar graphs. As the bar graph builds, the interactive graphically displays the mean, median, and mode. Learners finish by exploring the changes in...
Shodor Education Foundation
Normal Distribution
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...
Curated OER
Affine Recurrence Plotter
Learners use the on-line affine recurrence plotter to graph equations. They work on-line to create graphs of trout in a trout pond and savings account balances when interest is compounded over time. Links to the four one-day lessons are...
Firelands Local Schools
Exponential Growth and Decay
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator...
Curated OER
Families of Functions
Students investigate families of functions. In this families of functions activity, students discuss how changing a functions parameters affect its' graph. Students vary slope and y-intercepts of linear functions. ...
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...