Interactive
CK-12 Foundation

Evaluate Relations with Scatter Plots: Regression and Correlation

For Students 8th - 12th Standards
Introduce the concept of a correlation coefficient using an interactive lesson. Learners begin by manipulating a correlation coefficient and watching a graph change to represent the new value. Questions help strengthen their...
Interactive
CK-12 Foundation

Understand and Create Stem-and-Leaf Plots: Stem-and-Leaf Plots

For Students 6th - 8th Standards
Explore the advantages to using a stem-and-leaf plot using an online lesson. Learners manipulate an animation to create a stem-and-leaf plot. They then calculate statistics for the data using their display. Guiding questions help them...
Interactive
CK-12 Foundation

Stem-and-Leaf Plots and Histograms: Digital Photography

For Students 8th - 10th Standards
Cameras use histograms to communicate the exposure of a photograph. An interesting lesson uses this idea to help learners deepen their understanding of histograms. It highlights the skew of the graphs by showing under- and overexposed...
Interactive
CK-12 Foundation

Understand and Create Stem-and-Leaf Plots: Event Survey

For Students 7th - 9th Standards
 A good lesson doesn't just grow on trees! Help your classes understand the concept of a stem-and-leaf plot using an interactive lesson. Learners first create a stem-and-leaf plot from a set of data by dragging the values to the...
Interactive
CK-12 Foundation

Simple Random Sampling: How Many Samples Does it Take to Change a Light Bulb?

For Students 7th - 10th Standards
Teach the concept of simple random sampling through an interactive lesson. Learners explore the concept by considering the strength of sampling methods. Size of the samples varies also as individuals determine which methods lead to the...
Interactive
CK-12 Foundation

Stratified Random Sampling: An Extracurricular Study

For Students 9th - 12th Standards
Learning isn't a random process. A well-designed interactive lesson helps classes make key conclusions about stratified random sampling. They calculate group percentages and use those percentages to decide on sampling totals.
Interactive
CK-12 Foundation

Properties of a Normal Distribution: Uniform Distributions

For Students 9th - 12th Standards
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.
Interactive
CK-12 Foundation

One-Sided Limit Type: Limit Notation and Graphs

For Students 11th - Higher Ed
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
Interactive
CK-12 Foundation

Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
Interactive
CK-12 Foundation

Least-Squares Regression

For Students 9th - 12th
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...
Interactive
CK-12 Foundation

Compound Interest per Period: Credit Card Payment

For Students 10th - 12th
Credit cards can be convenient, but are they worth it? Future consumers learn about compound interest and credit card payments. They use an interactive to create a table that shows the remaining balance after each month.
Interactive
CK-12 Foundation

Continuous Interest

For Students 10th - 12th
Continue teaching your financial scholars about interest. A slider interactive has users investigate the growth of an account earning continuous interest. A set of challenge questions has them solve problems given a variety of situations.
Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions

For Students 10th - 12th Standards
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)

For Students 10th - 12th Standards
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...
Interactive
CK-12 Foundation

Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
Interactive
CK-12 Foundation

Concept of Limit: Limit Notation

For Students 11th - Higher Ed
Limits to infinity are simple to find if you can compare numerators and denominators. Users of the interactive drag expressions to match with their limit as x approaches infinity. A set of challenge questions assesses their groupings.
Interactive
1
1
CK-12 Foundation

Mode: Mucho Money

For Students 6th - 8th Standards
Generate stacks of money. Given bills of different denominations, pupils stack them based on their values. The learners figure out which value is the mode of the data and determine whether the data is unimodal, bimodal, or multimodal.
Interactive
CK-12 Foundation

Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
Interactive
CK-12 Foundation

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
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.
Interactive
CK-12 Foundation

Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
Interactive
CK-12 Foundation

Higher Order Derivatives—Acceleration and Jerk

For Students 11th - Higher Ed
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...