Interactive
CK-12 Foundation

Greatest Common Factor Using Lists

For Students 6th Standards
By creating a list of factors for two numbers, it is easier to see the greatest common factor. Each question in an interactive resource asks pupils to identify the greatest common factor for the numbers 24 and 36 in several...
Interactive
CK-12 Foundation

Common Multiples: Sports Calendar

For Students 6th Standards
Using a calendar, basketballs, and tennis balls, young mathematicians determine the common multiples of four and six. Individuals drag and drop the balls onto the correct dates each sport will be played, allowing them to see which days...
Interactive
CK-12 Foundation

Least Common Multiple: Hot Dogs and Buns

For Students 6th Standards
Find the least common multiple of hotdog packages and bun packages in an interactive that allows pupils to drag and drop a set of four hot dogs into a pack of six buns to find the least common multiple of the sets.
Interactive
CK-12 Foundation

Greatest Common Factor Using Factor Trees

For Students 6th Standards
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...
Interactive
CK-12 Foundation

Sums of Fractions with Like Denominators: Cheesy Bread

For Students 6th - 8th Standards
Five questions make up an interactive all about adding fractions with like denominators. Mathematicians answer multiple-choice problems and an open-ended question using a fraction model that resembles sliced bread. The practice ends with...
Interactive
CK-12 Foundation

Greatest Common Factor Using Lists: Tiling the Kitchen Floor

For Students 6th Standards
Use a combination of tiling a rectangle to find area and find the greatest common factor of the lengths of two sides and the area they create. Pupils increase and decrease the sides of the rectangle before answer five questions...
Interactive
CK-12 Foundation

Mineral Formation: Evaporating Lake

For Students 9th - 12th
Get crazy for crystals! Junior geologists learn the secrets of crystal formation through lecture, reading, and examples. Other topics include common ionic compounds found in fresh and salt water, the effects of location on forming...
Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Interactive
CK-12 Foundation

Fraction Ordering with Lowest Common Denominators: Test Your Strength

For Students 6th Standards
Young mathematicians use a bell and hammer to see how high or low the puck goes. Then, they order the fractional values to demonstrate the greatest to lowest hit. Students then respond to several questions that require them to use...
Interactive
CK-12 Foundation

Monomial Factors of Polynomials: Mystery Boxes

For Students 8th - 10th Standards
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
Interactive
CK-12 Foundation

Explicit Formulas: Tiles for Writing nth Term in a Sequence

For Students 11th - Higher Ed Standards
Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...
Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Interactive
CK-12 Foundation

Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges

For Students 6th Standards
Comparing fractions is the focus of a five-question interactive in which mathematicians use oranges to answer real-world multiple-choice, true or false, and discussion questions. 
Interactive
CK-12 Foundation

Families of Lines: Room in Perspective

For Students 8th - 10th Standards
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...
Interactive
CK-12 Foundation

Development of Theories

For Students 6th - 8th
Theory or Law? You decide. And so will your class members, in an insightful interactive. Young scientists divide common scientific principles or statements between the two groups, then dig deeper in understanding the functions of...
Interactive
CK-12 Foundation

Arithmetic Sequences: Paying of a Loan

For Students 11th - Higher Ed Standards
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
Interactive
CK-12 Foundation

Sequence: The Sequence Calculator

For Students 11th - Higher Ed Standards
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Interactive
CK-12 Foundation

Subtraction of Fractions: Fragmented Fractions

For Students 5th - 8th Standards
An interactive challenges scholars to subtract mixed numbers. Pupils answer questions—multiple-choice, fill in the blank, and true or false—with help from virtual fraction strips. The practice closes with a discussion. 
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.  
Interactive
American Museum of Natural History

Planetary Mysteries

For Students 6th - 12th
Get to know our little part of the vast universe. Learners read about the common and not-so-common facts about each of the planets in the solar system. The interactive lesson includes a large amount of information as well as a quiz to...
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
Interactive
CK-12 Foundation

Polynomials in Standard Form

For Students 8th - 10th Standards
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they...