Interactive
CK-12 Foundation

Distributive Property: Catching Fireflies

For Students 6th Standards
Model the distributive property with jars of fireflies! An interactive animation has learners manipulate the number of jars of fireflies to determine the number caught. Accompanying questions ask scholars to consider the multiplication...
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

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Circling C's

For Students 7th Standards
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Soda Sugar Function Table

For Students 6th - 9th Standards
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
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

Multiple Line Graphs: Jack's Jumpshot

For Students 7th - 10th Standards
What are the advantages to seeing multiple data sets on the same graph? Scholars explore this question as they manipulate the animation within the lesson. Questions within the interactive ask individuals to make comparisons across the...
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

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
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CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
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.
Interactive
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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

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
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

Division of Decimals by Whole Numbers: Lemonade Stand

For Students 6th Standards
After a full day of selling lemonade, three friends split the cost of the profit money. If the total profit was $34.20, how much will each friend get?
Interactive
CK-12 Foundation

Sequence of Partial Sums: Partial Sums

For Students 11th - Higher Ed
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
Interactive
CK-12 Foundation

Prime and Composite Numbers

For Students 4th - 8th Standards
Nine true or false, multiple-choice, and discussion questions make up an interactive designed to reinforce scholars' knowledge of prime and composite numbers. A number chart reveals every prime number through 100. 
Interactive
CK-12 Foundation

Addition and Multiplication Properties with Real Numbers: The Secret of Subtraction

For Students 6th - 8th Standards
An interactive boosts mathematicians' knowledge of subtracting integers using a horizontal number line by way of multiple-choice, true or false, and discussion questions. 
Interactive
CK-12 Foundation

Estimation of Whole Number Multiplication and Division: Lettuce Garden

For Students 3rd - 8th Standards
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
Interactive
CK-12 Foundation

Add and Subtract Decimal Numbers: Losing Little Bits

For Students 4th - 6th Standards
An interactive offers five questions that challenge scholars to subtract decimals. A diagram featuring a tree and birdhouse with moveable parts is designed to assist mathematicians in finding solutions. Types of questions include...
Interactive
CK-12 Foundation

Decimals as Mixed Numbers

For Students 6th - 8th Standards
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions. 
Interactive
CK-12 Foundation

Addition of Fractions

For Students 4th - 8th Standards
Five word-problems challenge mathematicians to add fractions. Interactive fraction circles assist scholars in problem-solving. Question types include multiple-choice, true or false, and a discussion.  

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