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Interactive
CK-12 Foundation

Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge

For Students 9th - 12th Standards
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
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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...
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Interactive
CK-12 Foundation

Exponential Properties Involving Quotients

For Students 9th - 12th Standards
Watch as exponential expressions expand and contract! An interactive tutorial leads young mathematicians to the discovery of the quotient property of exponents. Through exploration, they realize that an x in the numerator will cancel an...
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Interactive
CK-12 Foundation

Exponential Terms Raised to an Exponent: Exponential Sliders

For Students 9th - 12th Standards
Discover the pattern of exponents through an interactive lesson. Young mathematicians manipulate sliders and watch the result as they change the base or exponents in an expression. The tutorial shows them the simplified expression and...
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Interactive
CK-12 Foundation

Scientific Notation: Light Years to Centaurus Constellation

For Students 8th - 12th Standards
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
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Interactive
CK-12 Foundation

Scientific Notation: Matching Numbers to Notation

For Students 8th - 12th Standards
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
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Interactive
CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
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Interactive
CK-12 Foundation

Geometric Sequences and Exponential Functions: Bouncing Ball

For Students 9th - 12th Standards
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze the...
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Interactive
CK-12 Foundation

Logarithms: Logarithm Triangle

For Students 10th - 12th Standards
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
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Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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Interactive
CK-12 Foundation

Matrices to Represent Data: Houndstooth

For Students 10th - 12th Standards
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns. 
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Interactive
CK-12 Foundation

What's the Matter?

For Students 6th - 12th
What makes ice, water, and steam different? Their molecular arrangements are the same, but their movements are different. Individuals make this conclusion by completing the simulation activity. 
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Interactive
CK-12 Foundation

It's Just a Phase

For Students 6th - 12th
Explore the phases of water as temperature rises. Pupils consider the idea that temperature remains constant during each phase change. An interactive exercise allows your young scientists to observe the temperature and molecular motion...
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Interactive
CK-12 Foundation

Air Matters

For Students 6th - 12th
What makes up the air we breathe? Young scientists explore the atoms and molecules in the air. An interactive lesson allows individuals to watch the movement of the particles in the air and change the makeup from a mixture to a compound....
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Interactive
CK-12 Foundation

Don't Slip

For Students 6th - 12th
Salt is the go-to material when people need to melt ice—learn the chemistry behind its effectiveness with an interactive lesson. Pupils watch a short narrative and then explore the concept through a simulation. Young scientists...
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Interactive
CK-12 Foundation

Soap

For Students 9th - 12th
Examine the chemistry of the laundry room! A thorough video explains the polarity and non-polarity properties of soap. The tutorial continues to explain the advantage of these properties in stain removal by showing the bonding of the...
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Interactive
CK-12 Foundation

Balancing Equations

For Students 6th - 12th
Make the microscopic world of chemical reactions come to life. An engaging video demonstrates a methane-oxygen reaction. Learners see the reaction take place and observe the chemical equation being balanced. 
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Interactive
CK-12 Foundation

Battery

For Students 9th - 12th
Don't take for granted the technology behind power packs. Build an understanding of the chemical mechanics of a battery pack that charges your phone. The simulation allows young scientists to manipulate the type of elements in a pack and...
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Interactive
CK-12 Foundation

Hotpack - Coldpack

For Students 6th - 12th
Chemistry can help athletes and others protect and treat injuries. Use the interactive activity to explore the chemical reactions in instant hot and coldpacks. Learners manipulate the type of salt in the pack and watch the reaction take...
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Interactive
CK-12 Foundation

Crash

For Students 6th - 12th
Explore the chemistry behind the airbags that keep you safe in a collision. Using a simulation, your classes find the best gas to use to inflate an airbag. The simulation shows the time it takes to inflate to a maximum volume....
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Interactive
CK-12 Foundation

Going Fishing

For Students 6th - 12th
Why do some things float and others sink? A creative simulation allows learners to adjust mass and volume of an object to affect its buoyancy in water. A graph records the effect of each manipulation.
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Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Making Matrix Patterns

For Students 10th - 12th Standards
Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...
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Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Column Vectors

For Students 10th - 12th Standards
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
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Interactive
CK-12 Foundation

Matrix Multiplication: Vectors

For Students 10th - 12th Standards
Visualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.