CK-12 Foundation
Regular and Irregular Polygons: Polygon States
Colorado would probably object if Wyoming enlarged its borders. Scholars use an interactive map to change the borders of U.S. states to see how angles change. They then answer questions about regular and irregular polygons.
CK-12 Foundation
Restricted Domain and Range: Translation of a Curve
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
CK-12 Foundation
Zeroes and Intercepts of Polynomials: Function Intercepts
There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.
CK-12 Foundation
Identify Functions and the Vertical Line Test: The Vertical Line Test
There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.
CK-12 Foundation
Sampling Distribution of a Sample Mean: The Mean of the Average Ages
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
Desmos
Desmos Graphing Calculator
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
GeoGebra
Getting on the Right Wavelength
Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...
GeoGebra
Photocopy Faux Pas
Why did it not copy correctly? Using the tools in GeoGebra, pupils explore an image and its preimage. The learners determine what happened with the copying process and determine where they should position the preimage to obtain a...
GeoGebra
Yardwork in Segments
Stretch your knowledge of ratios to the coordinate plane. The interactive allows pupils to set the endpoints of a directed line segment and form a right triangle. Using rubber bands, users visualize the line segment divided into equal...
GeoGebra
All For One, One For All
Will someone please constrain those pets? Pupils create two constraint equations on the number of cats and dogs for a pet sitter. They choose specific points and determine whether the point satisfies one or both constraints. The...
CK-12 Foundation
Variance of a Data Set
Use variable value sliders to understand variance. The interactive shows four whole numbers, their mean and deviation. Using the information, pupils find the variance of the numbers and respond to question related to the understanding of...
GeoGebra
Triangle Dilations
Stretch the class' knowledge of dilations. With the aid of the rubber band stretcher tool, learners perform dilations. They dilate the triangle by a whole number scale and a fractional scale from two centers of dilation.
GeoGebra
Pet Sitters Feasible Region
Find the best way to maximize the profit. Pupils graph four constraints of a pet-sitting company, using a revenue equation to find a maximum amount the sitters can earn. By using the equation, scholars determine the number of cats and...
GeoGebra
Too Big, or Not Too Big
Determine whether the point is just right. The interactive allows participants to input a constraint equation. Pupils pick a point and determine whether it is too big, not too big, or just right for the constraint. Using the graphing...
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
CK-12 Foundation
APR and APY: APR vs. APY
Who wins the battle of the interest rates? Scholars use an interactive to investigate three different bank rates. Comparing APR and APY lets them see how nominal and effective rates differ.
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
CK-12 Foundation
Least-Squares Regression
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
CK-12 Foundation
Properties of a Normal Distribution: Uniform Distributions
There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.
CK-12 Foundation
Coefficient of Variation: Diverse Populations
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
CK-12 Foundation
Mean: Harmonic Mean
Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...
GeoGebra
Conjectures and Proof
Transform proofs using triangle rotations. By rotating a triangle around various points, class members develop proofs. Participants prove relationships of alternative interior angles formed by parallel lines and the sum of the interior...
GeoGebra
More Ferris Wheels
Take a ride on a Ferris wheel. Using sliders to adjust the parameters of a Ferris wheel, pupils investigate the height of a point over time. The interactive traces out the curve on a time-height graph. Learners use what they learned to...