CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
CK-12 Foundation
Hot Air Balloon
How can people control a hot air balloon? The simple simulation allows scholars to adjust the payload mass, burner, and vent position on a hot air balloon and observe the changes in velocity and altitude over time. Challenge questions...
CK-12 Foundation
Orbital Motion
Why do planets orbit the sun in ellipses when moons orbit their planet in circles? Pupils control the semi-major axis, eccentricity of the orbit, and position angle. The resulting orbital appears with the related force vectors as...
CK-12 Foundation
Butterfly Stroke
Swimmers improve their times by understanding the physics of their sport. As a swimmer moves through the water, the efficiency of motion affects the resulting velocity. Through an interactive simulation, pupils change the level of motion...
CK-12 Foundation
Irwin and Ruthie
Learners compare acceleration to displacement through an interactive tutorial that permits them to adjust the running strategy of two robots and watch them race. A graph displays the robot's velocity over time and another shows their...
CK-12 Foundation
Differences of Integers Using a Number Line: Football Game
Make football a math sport! Move the football player (red dot) along the sideline (number line) to see how many yards (positive and negative integers) they've traveled to the other team's end zone.
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
CK-12 Foundation
Negative Exponents
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
Philadelphia Museum of Art
Physics at the Art Museum: Kinetic Energy, Potential Energy, and Work
Connect science, math, and art for a true interdisciplinary lesson! Learners explore simple machines in art. Through analysis with a physics app, they identify positions of kinetic and potential energy and make conclusions about work.
CK-12 Foundation
Law of Cosines: Angles in the Outfield
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.
CK-12 Foundation
Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home
Mathematically complete a set of blueprints. Using eight linear inequalities, pupils create a blueprint of Thomas Jefferson's home. Individuals graph the linear inequalities and position the solution of the inequalities before...
CK-12 Foundation
Directed Line Segments: Dog Park
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
CK-12 Foundation
Coterminal Angles: Full Circle
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.
CK-12 Foundation
Slope-Intercept Form of Linear Equations: Cable Car Tracks
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.
Google
Online Safety Roadshow Activity
What does it mean to have digital citizenship? A set of lessons teach middle schoolers how to be safe and productive online. From sharing posts to creating secure passwords, learners discuss the importance of remaining diligent—and...
CK-12 Foundation
Slope: Hiking in the Woods
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
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