Interactive
CK-12 Foundation

Venn Diagrams: Planets and Dwarf Planets of the Solar System

For Students 6th - 8th
Yes, Venn diagrams are helpful in science, too. Learners use an interactive to classify celestial bodies as having moons, as dwarf plants, as both, or as neither. They answer a set of challenge questions based on the Venn diagrams they...
Interactive
CK-12 Foundation

Counting Techniques: Permutations and Combinations

For Students 11th - 12th
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Interactive
CK-12 Foundation

Slope: Danger Mountain

For Students 8th - 10th
There's no danger in using an exciting resource. Pupils use an interactive to change the slope of a sledding path and see how the equation changes. They then apply information about safe slopes to see if their sledding paths are...
Interactive
CK-12 Foundation

Points that Partition Line Segments: Cutting a Log

For Students 9th - 12th
Teach ratios of line segments using an interactive approach. Scholars examine a line segment in the shape of a log and use their knowledge of ratios to divide it into various partitions. As an introductory lesson, the segment has a...
Interactive
CK-12 Foundation

Multi-Step Inequalities: Summer Camp

For Students 6th - 9th Standards
No chaperones are necessary to use this resource. Scholars solve a multi-step inequality problem on summer camp chaperones by using a pictorial representation. They write inequalities to represent various situations in this context.
Interactive
CK-12 Foundation

Inequality Expressions: Inequality Graph

For Students 6th - 8th Standards
Don't let inequalities be a drag. As young mathematicians drag the endpoint of the graph of an inequality in an interactive, the algebraic form of the inequality changes. This helps them see how the graph connects to the inequality.
Interactive
CK-12 Foundation

Compound Inequalities: Babysitting

For Students 6th Standards
Keep this resource close by. Given conditions on how close by a child must be to a babysitter, scholars use an interactive to position a picture of the child in relation to the babysitter. Compound inequalities help represent the condition.
Interactive
CK-12 Foundation

Problem-Solving Models: Subway vs. Taxi

For Students 8th Standards
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.  
Interactive
CK-12 Foundation

Supplementary Angles: Spiderweb Angles

For Students 7th - 10th Standards
The itsy, bitsy spider went up the virtual wall. An interactive allows users to change the angles in a spider web. They must attend to supplementary angles as they answer challenge questions throughout the interactive.
Interactive
CK-12 Foundation

Linear Pairs

For Students 7th - 10th Standards
Pair up this resource with a lesson on linear pairs. Scholars solve for missing variables and values of angles in linear pairs. They use an interactive to help with this endeavor.
Interactive
CK-12 Foundation

Properties of Equality and Congruence: Justifying Algebraic Steps

For Students 8th - 10th
No need to justify using this resource. Learners drag justifications for each step of solving an equation in an interactive. To see if they are correct, all they need to do is use a slider and the correct answers appear.
Interactive
CK-12 Foundation

Properties of Real Number Addition: The Secret of Subtraction

For Students 6th - 8th Standards
Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...
Interactive
CK-12 Foundation

Absolute Value: Picket Fence Painting

For Students 8th - 12th Standards
Painting a fence can be useful for more than just making your yard look good. A slider interactive has young mathematicians adjust the number of white fence panels. This activity helps in understanding how absolute value equations...
Interactive
CK-12 Foundation

Patterns and Expressions: Cookie Jars

For Students 6th - 9th Standards
It's okay to get caught with your hand in a virtual cookie jar. Pupils use an interactive to drag cookies from two cookie jars onto a plate. They investigate how an expression representing the number of remaining cookies changes as users...
Interactive
CK-12 Foundation

The Real Numbers: Union and Intersection of Sets

For Students 8th - 9th
Not everyone can get what they want in a smoothie. Learners determine the fruit they can place in a smoothie given constraints and preferences. The union and intersection of sets must be taken into consideration.
Interactive
CK-12 Foundation

Displaying Categorical Variables: Spending Habits

For Students 6th - 10th Standards
Bar or circle graph—which is best? Given a circle graph and a total amount of money earned, pupils calculate the amount of money in each category. Learners use the calculated amounts to create a bar graph and compare the two displays.
Interactive
CK-12 Foundation

Proofs: Angle Pairs and Segments—The Three Angle Problem

For Students 9th - 11th
Finding the sum of the measures of three angles is easy, unless you have no clue what the measures are. Learners use an interactive diagram to see a geometric problem in a different way. A set of challenge questions takes them through...
Interactive
CK-12 Foundation

Coefficient of Variation: Diverse Populations

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

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
Interactive
CK-12 Foundation

Related Rates of Car Speeds

For Students 11th - Higher Ed
Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...
Interactive
CK-12 Foundation

Arithmetic Series Sums: Adding Arithmetic Sums

For Students 11th - Higher Ed
Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 1)

For Students 11th - Higher Ed
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Interactive
CK-12 Foundation

Values Written as Powers: Binary Numbers 25 to 31

For Students 6th - 8th Standards
A five-question interactive boosts proficiency in working with binary numbers. Multiple-choice, short answer, and discussion questions challenge mathematicians to write numbers 25 through 31in exponential and binary form. An adjustable...