Interactive
CK-12 Foundation

Rotations in Radians: Clock Conundrum

For Students 10th - 12th Standards
Pupils use an interactive clock to set specific times. They apply math to an everyday task as they determine the measure of the angle formed by the hands in degrees and in radians. 
Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
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

Multiplying Polynomials

For Students 9th - 11th Standards
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
Interactive
CK-12 Foundation

Addition and Subtraction of Polynomials: Sliders

For Students 8th - 10th Standards
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
Interactive
CK-12 Foundation

Addition of Polynomials: Splitting into Tiles

For Students 8th - 10th Standards
Count on tiles to add polynomials. Pupils drag virtual algebra tiles onto colored mats to represent the sum of two polynomials. The learners count the number of like tiles to find the coefficient of each term. They finish...
Interactive
CK-12 Foundation

Angle-Angle-Side Triangles: Garden Gate

For Students 10th - 12th Standards
Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...
Interactive
CK-12 Foundation

Applications of Linear Systems: Alcohol Solution in Nursing

For Students 8th - 10th Standards
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
Interactive
CK-12 Foundation

Polynomials and Factoring: Classification Table

For Students 9th - 12th
It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.
Interactive
CK-12 Foundation

Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius

For Students 10th - 12th Standards
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...
Interactive
CK-12 Foundation

DeMoivre's Theorem and nth Roots: The nth Roots of Unity

For Students 11th - Higher Ed
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
Interactive
CK-12 Foundation

Translation of Vectors and Slope: Rearranging a Classroom

For Students 11th - Higher Ed Standards
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
Interactive
CK-12 Foundation

Permutations with Repetition: Permutations and Repetition

For Students 9th - 12th Standards
What's in a name? An interactive asks users to find the number of ways to arrange the letters in the word DAD and MOM. Pupils use the interactive to arrange the letters but restrict the permutations to be unique for MOM and answer...
Interactive
CK-12 Foundation

Geometric Probability: Dartboard

For Students 6th - 12th Standards
Get your class on target with probability using an exciting resource. The interactive presents three square dartboards with different target areas, which are combinations of square units. Pupils determine the probabilities of randomly...
Interactive
CK-12 Foundation

Conditional Probability: Candy Store

For Students 9th - 12th Standards
An interactive uses a candy store to involve the pupils in conditional probabilities. Learners determine probabilities as customers purchase different types of candies and the stock decreases.
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
Interactive
CK-12 Foundation

Numerical Computations: Counting Out Probability

For Students 6th - 8th Standards
Keep your heads up while counting. Pupils use an interactive to create a table with the possible outcomes of flipping three coins and then determine the probabilities of getting certain combinations of heads and tails.
Interactive
CK-12 Foundation

Additive and Multiplicative Rules for Probability: Red Dress? Blue Dress? Both!

For Students 7th - 12th Standards
The sum of the parts is greater than the whole. An interactive uses a Venn-like model to show the percentage of females from a survey that have a blue dress, a red dress, or both. The pupils determine the numbers in each category...
Interactive
CK-12 Foundation

Conditional Probability: Colorful Cubes

For Students 9th - 12th Standards
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners...
Interactive
CK-12 Foundation

Location and Direction: Angle from the Equator

For Students 9th - 12th
From any angle, this interactive is helpful. Earth science super stars explore a location's angle from the equator through a hands-on activity. Questions guide learners as they test their knowledge of direction and geometry used in...
Interactive
CK-12 Foundation

Metamorphic Rock Classification: Changing Under Pressure

For Students 6th - 8th
Change is coming — but how much? Geology pupils discover the transformation of metamorphic rock using a well-rounded interactive. Topics include the effects of pressure and temperature on metamorphic rock, how time factors into the...
Interactive
CK-12 Foundation

Coterminal Angles: Full Circle

For Students 9th - 12th Standards
Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.
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...

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