Interactive
CK-12 Foundation

Whole Number Addition: Let's Go Fishing!

For Students 6th
Practice adding whole numbers by combining the amount of fish Alice and Bob catch. As young mathematicians work through each problem, they are asked to find one more plus the amount of fish already caught. They can manipulate 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

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
Interactive
CK-12 Foundation

Pythagorean Theorem and Its Converse

For Students 8th - 10th
To be a right triangle, or not to be — that is the question. Scholars drag line segments in an Internet application to see if they form right triangles. Once they get the results of the activity, they connect them to the converse of the...
Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
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

Multiplication of Monomials by Polynomials: Distributing the Monomial

For Students 8th - 10th Standards
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
Interactive
CK-12 Foundation

Multiplying Polynomials: Binomial Cork Board

For Students 9th - 11th Standards
Cover the cork board with pictures of the house. The interactive provides pictures of a house to duplicate and cover a given area. The pictures' dimensions are expressed as binomials. Pupils determine the area of the cork board based...
Interactive
CK-12 Foundation

Multiplication of Polynomials by Binomials: Rainbows

For Students 8th - 10th Standards
Is it possible to use the distributive property with several terms? Learners multiply a polynomial by a binomial using the same method as with a monomial. The scholars distribute each term of the binomial to each term in the polynomial...
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

Determining the Equation of a Line: Temperature Conversion Challenge

For Students 8th - 10th Standards
Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...
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

Unit Vectors and Components: Bow and Arrow

For Students 9th - Higher Ed Standards
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
Interactive
CK-12 Foundation

Vector Addition

For Students 11th - Higher Ed Standards
View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...
Interactive
CK-12 Foundation

Vectors as Directed Line Segments: Directed Line Segment

For Students 9th - 12th Standards
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...
Interactive
CK-12 Foundation

Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Interactive
CK-12 Foundation

Normal Approximation of the Binomials Distribution: When to Approximate

For Students 9th - 12th
Normalizing a binomial distribution — determine when it is all right. Given the rule of thumb of when it is appropriate to use the normal distribution to approximate a binomial distribution, pupils look at different scenarios....
Interactive
CK-12 Foundation

Expected Value: Creating a Discrete Probability Distribution Table

For Students 11th - 12th Standards
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
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

Expected Value: Playing Darts

For Students 11th - 12th Standards
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To...
Interactive
CK-12 Foundation

Slope-Intercept Form of Linear Equations: Cable Car Tracks

For Students 7th - 10th Standards
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
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...