Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
Interactive
CK-12 Foundation

Single Variable Expressions: Neighborhood Block

For Students 6th - 9th Standards
The number of bicycle wheel turns is as good as any way to describe the distance from school to home. An interactive lets young mathematicians determine the number of city blocks a person bicycles. They use this information along with an...
Interactive
CK-12 Foundation

Expression Evaluation with Basic Operations: Math Detective

For Students 6th Standards
Placement of parentheses is paramount. Scholars adjust the location of parentheses in a numerical expression so its value matches a given value. A slider interactive helps with this task.
Interactive
CK-12 Foundation

Order of Operations: Barrels of Candy

For Students 6th - 8th
We'd all love to have barrels of candy. An interactive shows the steps in evaluating a numerical expression that reflects the cost of buying several different barrels of candy.
Interactive
CK-12 Foundation

Order Real Numbers: Pie Baking Contest

For Students 6th - 8th Standards
Time is on your side. Scholars plot three points on number lines with different time units to represent the time it takes three people to bake pies. They determine the fastest baker and the difference in times between the bakers.
Interactive
CK-12 Foundation

Inequalities that Describe Patterns: Freezing Cold Comparison

For Students 6th Standards
Don't freeze out the interactive on inequalities from your lesson plans. Young mathematicians use an interactive thermometer and number line to compare freezing temperatures. Inequalities help express these comparisons.
Interactive
CK-12 Foundation

Evaluate Expressions with One or More Variables: Water Bottle Expression

For Students 6th Standards
Fill your mind as you fill virtual water bottles. Pupils use an interactive to find the amount of water that can fit in given containers. Writing and evaluating an algebraic expression helps with this task.
Interactive
CK-12 Foundation

Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion

For Students 7th - 9th Standards
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
Interactive
CK-12 Foundation

Expressions for Real-Life Situations: Shopping for Sisters

For Students 6th - 8th Standards
Shopping for a resource on writing algebraic expressions? Look no further. Pupils use an interactive to drag shirts and pants out of a shopping bag. They create and evaluate an expression to represent the cost of the clothes.
Interactive
CK-12 Foundation

Checking Solutions to Equations: Taxi Cab Calculations

For Students 8th
Ride to success in checking solutions to equations. Scholars use an interactive graph to identify points that are solutions to a linear equation. Interpreting these points in terms of the context completes the activity.
Interactive
CK-12 Foundation

The Real Numbers: Surjections, Injections and Bijections

For Students 8th - 12th
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
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

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

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
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.
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
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.
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

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

Zeroes and Intercepts of Polynomials: Function Intercepts

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

Restricted Domain and Range: Restricted Circle Radius and Area

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

Restricted Domain and Range: Translation of a Curve

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

Logistic Functions: Fab Fitness

For Students 11th - Higher Ed
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.
Interactive
CK-12 Foundation

APR and APY: APR vs. APY

For Students 10th - 12th
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.
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...