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Interactive
CK-12 Foundation

Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
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Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
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Interactive
CK-12 Foundation

Negative Exponents

For Students 8th - 10th Standards
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.
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Interactive
CK-12 Foundation

Inverse Variation Models: Speedometer for Inverse Variation Models

For Students 9th - 12th Standards
Model inverse variation while solving a real-world problem. Young scholars use the interactive lesson to discover the pattern of inverse variation data. They then use that discovery to write and analyze an equation.
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Interactive
CK-12 Foundation

Simplifying Rational Expressions: Sliding Solver

For Students 9th - 11th Standards
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Neighborhood Map

For Students 8th - 12th Standards
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Distance Between Friends

For Students 8th - 12th Standards
Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.
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Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
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Interactive
CK-12 Foundation

Fraction and Mixed Number Comparison: Pumpkin Pie

For Students 6th
Compare fraction models to fractions on a number line in an interactive that uses pumpkin pies as the model. Pupils look at pumpkin pie models to determine their improper fraction value. They use their knowledge to answer five questions...
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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.
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Interactive
CK-12 Foundation

Distance Formula: Right Triangles

For Students 8th - 10th Standards
Go the distance with a far out resource. Individuals use an interactive to create right triangles on a coordinate plane to help find distance between two points. Challenge questions aid them in developing the distance formula.
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Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
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Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
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Interactive
CK-12 Foundation

Law of Cosines: Building a Zip Line

For Students 10th - 12th
Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.
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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...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
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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...
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Interactive
CK-12 Foundation

Directed Line Segments: Dog Park

For Students 11th - Higher Ed Standards
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.
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Interactive
CK-12 Foundation

Translation of Vectors and Slope: Identical Vectors

For Students 11th - Higher Ed Standards
Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...
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Interactive
CK-12 Foundation

Counting Events: Flipping Unfair Coins

For Students 7th - 12th Standards
Who said life was fair? An interactive uses an area diagram to represent the probabilities of flipping unfair coins. Pupils use the diagram to calculate the probabilities of outcomes of flipping the two coins. The scholars must decide...
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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 use...
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Interactive
CK-12 Foundation

Development of Hypotheses: Pressure versus Temperature

For Students 6th - 8th
Is it me, or is it getting hot in here? Middle school science sleuths investigate the relationship between temperature and pressure, then use their observations to form a hypothesis. Questions embedded in the interactive help guide...
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Interactive
CK-12 Foundation

Development of Theories

For Students 6th - 8th
Theory or Law? You decide. And so will your class members, in an insightful interactive. Young scientists divide common scientific principles or statements between the two groups, then dig deeper in understanding the functions of...
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Interactive
CK-12 Foundation

Location on the Earth: Longitude and Latitude

For Students 6th - 8th
To what degree do learners understand coordinates? Get them some practice in Yosemite National Park in a simple, fun interactive. Pupils explore a map and locate coordinates of popular sights within the park, then answer questions to...

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