Interactive
CK-12 Foundation

One-Step Equations and Inverse Operations: Additive Inverse

For Students 6th - 8th Standards
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
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

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

Scientific Notation: Light Years to Centaurus Constellation

For Students 8th - 12th Standards
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
Interactive
CK-12 Foundation

Completing the Square

For Students 8th - 10th Standards
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
Interactive
CK-12 Foundation

Basic Counting Rules: Sandwich Shop

For Students 6th - 8th
Young mathematicians make a tree diagram of all possibilities for sandwiches using an interactive. They learn how multiplication speeds up the process of finding the number of outcomes.
Interactive
CK-12 Foundation

Fundamental Counting Principle with and without Repetition: Outfit Combinations

For Students 6th - 8th Standards
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
Interactive
CK-12 Foundation

Two-Step Equations with Subtraction and Multiplication: Cupcake Equation

For Students 7th - 9th Standards
Solving equations is a piece of cake. Young mathematicians use an interactive to create a bar model to representing a situation involving cupcakes. They use the model to solve for the cost of a cupcake.
Interactive
CK-12 Foundation

Simplify Variable Expressions Involving Integer Addition

For Students 7th - 9th Standards
Ensure your classes aren't drowning in expressions. An interactive simulation has scholars change the depth of a fish based on the coefficient of terms. As they add the terms together, the fish bobs up and down until reaching the answer.
Interactive
CK-12 Foundation

Mixed Numbers in Applications: Sharing a Chocolate Bar

For Students 5th - 7th Standards
The advantage of a virtual chocolate bar: it never melts. Learners use an interactive to share a chocolate bar among friends. Some challenge questions assess understanding of fractions in relation to this context.
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

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

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

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

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

Equivalent Fractions

For Students 3rd - 6th Standards
An interactive made up of five questions tests scholars' knowledge of equivalent fractions. Two fraction circles with moveable parts assist mathematicians in finding solutions. Questions are multiple-choice with one discussion. 
Interactive
CK-12 Foundation

Values Written as Powers: Binary Numbers 1 to 8

For Students 6th - 8th Standards
A six-question interactive tasks scholars with adding binary numbers one through eight. A tool acts as a visual aid to showcase the patterns made when working with base—2, digits zero and one. Question types include fill in the blank,...
Interactive
CK-12 Foundation

Fields in the Life Sciences

For Students 6th - 8th Standards
Many fields of study require a specialty and a sub-specialty as you progress through your education. Scholars learn about six sub-specialties of life science. From botany to zoology, our knowledge of the world of living organisms expands...
Interactive
CK-12 Foundation

Chemical Bonds: Covalent and Ionic Bonding

For Students 6th - 12th
Get back to bonding basics. Science scholars get a chance to show what they know using a simple interactive. Pupils create models of covalent and ionic bonds before answering questions about each interaction. The resource includes a...
Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Interactive
CK-12 Foundation

Factor Pairs: Flower Garden

For Students 6th Standards
Arrange the dimensions of Marissa's rectangular flower garden so that 12 flowers can be grown. How many factor pairs does the number 12 have? What dimensions are necessary for a square shaped planter?
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Interactive
CK-12 Foundation

Simplifying Rational Expressions: Sliding Solver

For Students 9th - 11th Standards
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...