Interactive
CK-12 Foundation

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
Interactive
CK-12 Foundation

Standard Form of Linear Equations: Seesaw

For Students 8th - 10th Standards
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...
Interactive
CK-12 Foundation

Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
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

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Interactive
CK-12 Foundation

Rectangular to Polar Form for Equations: Polar Coordinates

For Students 10th - 12th Standards
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
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...
Interactive
CK-12 Foundation

Plots of Polar Coordinates: Submarine Sonar

For Students 11th - Higher Ed Standards
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...
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

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
Interactive
CK-12 Foundation

Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...
Interactive
CK-12 Foundation

Law of Cosines: Angles in the Outfield

For Students 10th - 12th
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
Interactive
National Constitution Center

Writing Rights: The Bill of Rights

For Students 8th - 12th Standards
Where did the cherished ideals enshrined in the Bill of Rights originate? While history gives the Founding Fathers much of the credit, laws in colonial America influenced the Bill of Rights. An interactive web-based activity allows...
Interactive
Curated OER

Using the Correct Form of To Be

For Students 3rd - 4th
In this using the correct form of to be worksheet, students interactively complete 15 sentences using am, is, or are with immediate online feedback.
Interactive
CK-12 Foundation

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Interactive
CK-12 Foundation

Average and Instantaneous Rates of Change

For Students 11th - Higher Ed
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Interactive
CK-12 Foundation

Equations of Circles: The Sea of Happiness

For Students 11th - Higher Ed Standards
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Interactive
PHET

Energy Forms and Changes

For Teachers 6th - 12th Standards
Is the ice cooling down the water or is the water melting the ice? Here is a simulation that explores thermal energy transfer with iron, brick, and water. It demonstrates the flow of energy and what happens when each material is either...
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

Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Interactive
CK-12 Foundation

Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Interactive
Concord Consortium

Forming a Molecule

For Students 9th - 12th
What does it look like when two atoms bond? Mol-e-COOL! Aspiring chemists observe the interaction between two atoms forming a bond in an easy-to-use interactive. Individuals move atoms closer together and observe changes in attraction...

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