CK-12 Foundation
Infinite Limit Type: Properties of Limits
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.
CK-12 Foundation
One-Sided Limit Type: One-Sided Limits
Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.
CK-12 Foundation
Evaluate Limits Using Graphs and Tables: Where Is That Limit?
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
CK-12 Foundation
Concept of Limit: Limit Notation
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.
CK-12 Foundation
And and Or Statements: Number Lines
Compound statements are actually quite simple. A virtual interactive provides a means to graph solution sets to compound statements involving and and or. Users then answer a few challenge questions on these solution sets.
CK-12 Foundation
Formulas for Problem Solving: Finding Distance, Rate, and Time
Go the distance in learning about distance, rate, and time. Young mathematicians use an interactive to investigate the relationship between distance, rate, and time. A set of challenge questions assesses understanding of these...
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
CK-12 Foundation
Intermediate Value Theorem, Existence of Solutions: Function Exploration
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
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...
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
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....
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....
CK-12 Foundation
Mode: Kittens
It is not as difficult as herding cats. The short interactive provides a group of kittens to sort according to their colors. Pupils determine the mode of the number of kittens by color. The questions continue with other numbers of...
CK-12 Foundation
Mode: Mucho Money
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.
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
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...
CK-12 Foundation
One-Sided Limit Type: Limit Notation and Graphs
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.
CK-12 Foundation
Evaluate Limits Using Graphs and Tables: Evaluate the Limits
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
CK-12 Foundation
Concept of Limit
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
CK-12 Foundation
Logistic Functions: Fab Fitness
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
CK-12 Foundation
Mode: Boxes of Oranges
See how your data stacks up. Pupils stack crates of oranges in increasing order, creating a simple bar graph. Using the graph, individuals determine measures of center and describe the shape of the distribution. Scholars determine what...
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...
CK-12 Foundation
Mean: Arithmetic Mean
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
CK-12 Foundation
Introduction to Mean, Median, and Mode: The Tree Conundrum
How many trees should we plant? Using an interactive as a manipulative, individuals find the mean, median, and mode for sets of data. They determine the number of trees to plant in each plot of land to reach a statistical goal.