CK-12 Foundation
Bow and Arrow
Where does the energy of an arrow come from? Is it from the person, the bow, or somewhere else? A simulation allows scholars to adjust the stretch distance and the elastic constant in order to understand where the energy comes from, what...
CK-12 Foundation
Cliff Diver
Cliff diving is more than an adrenaline rush ... it's a lesson in physics! Scholars adjust the height of a cliff and plot the resulting velocity and position over time on graphs. They also can incorporate air resistance to monitor the...
CK-12 Foundation
Driverless Car
Who's driving that car? Science is! Through a simulation, learners adjust the magnitude and angle of motion on a driverless car. Two different motions create a resultant motion. Vectors represent the motion and graphs depict the...
CK-12 Foundation
Violin
Learners explore the science of sound by considering the characteristics that make unique sounds. Through an interactive simulation, they adjust tension and string size and view the corresponding wavelength and amplitude changes.
CK-12 Foundation
Doppler Ducks
The study of waves is not a quacking matter! Watch as a duck manipulates the behavior of its waves through its motion. Graphs show the frequency and wavelength of the waves.
CK-12 Foundation
Prom Night
Create the perfect prom night image using the Law of Reflection! An interactive lesson explores angles of reflection when looking in a full-length mirror. Learners change the distance from the mirror and length of the mirror and watch...
CK-12 Foundation
Length of an Arc: Pi Hour
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
CK-12 Foundation
Right Triangles, Bearings, and Other Applications: Sailing Race
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
CK-12 Foundation
Quadratic Functions and Their Graphs: Soccer Ball Trajectory
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Pizza Slice!
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
CK-12 Foundation
Secant, Cosecant, and Cotangent Functions: Hold the Ladder!
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
CK-12 Foundation
Sine, Cosine, and Tangent Functions: Lighthouse
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...
CK-12 Foundation
Angles of Elevation and Depression: Fly-By Calibration
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
CK-12 Foundation
Basic Trigonometric Functions: Ladder Length
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
CK-12 Foundation
Completing the Square
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that needs to...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
CK-12 Foundation
Measuring Rotation: Aircraft Headings
Measure angles in more than one way. The interactive introduces the concept of measuring angles from 0 to 360 degrees. Scholars explore the relationships between the angle and reference angles along with coterminal angles.
CK-12 Foundation
Relationships of Sides in 30-60-90 Right Triangles: Truck on a Mountain Road
Determine the change in elevation on a mountain road. Individuals use the interactive to simulate a truck driving up a mountain road with a 30-degree incline. They determine missing sides of a 30-60 right triangle to find horizontal and...
CK-12 Foundation
Lengths of Sides in Isosceles Right Triangles: Paper Football
Fuse sports and geometry by having your class create paper footballs—that are actually isosceles right triangles! Scholars use an interactive to create an isosceles right triangle to model a paper football. From the information in the...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Tree Shadows
Why is that shadow getting longer? Determine the changes in the length of a shadow as the sun changes position in the sky. Individuals use an interactive to calculate the length of a shadow at different times during the day via the...