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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

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

Multiplication of Rational Expressions

For Students 9th - 11th Standards
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct place. 
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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

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
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Interactive
CK-12 Foundation

Zero Product Principle: Mysterious Parabolas

For Students 8th - 10th Standards
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
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Interactive
CK-12 Foundation

Factor Polynomials Using Special Products: Difference of Two Squares

For Students 9th - 11th Standards
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
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Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
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Interactive
CK-12 Foundation

Factoring by Grouping: Polynomials

For Students 8th - 10th Standards
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem. 
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Interactive
CK-12 Foundation

Numbers in Expanded Form: Pennies Expanded Form

For Students 6th
Beginning with a word problem that poses the question of making groups of 10 pennies to translate into a single dime, pupils are challenged to make sense of the amount of dollars 33 cents is in expanded form.
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Interactive
CK-12 Foundation

Equivalent Fractions: Number Line

For Students 3rd Standards
Arrange improper fractions on a number line to determine the equivalency to whole numbers. The number line starts at -4 and ends at 4, while users must turn the improper fraction into a proper fraction in order to place it on the number...
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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

Special Triangle Ratios: Special Right Triangle Ratios

For Students 9th - 12th Standards
Go from one side length to any other side length with special right triangles. Individuals use the interactive to investigate the ratio of sides in 45-45 and 30-60 right triangles. Scholars make generalizations about the types of special...
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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...
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Interactive
CK-12 Foundation

Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding

For Students 10th - 12th Standards
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
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Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
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Interactive
CK-12 Foundation

Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine

For Students 10th - 12th Standards
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
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Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Clock Angles and Measures

For Students 10th - 12th Standards
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
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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

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.

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