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Interactive
CK-12 Foundation

Monomial Factors of Polynomials: Mystery Boxes

For Students 8th - 10th Standards
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
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Interactive
CK-12 Foundation

Alternate Formula for the Area of a Triangle: Alternate Area of a Triangle

For Students 10th - 12th
It's always nice to have a plan B. Pupils investigate an alternate formula for the area of a triangle that uses sine. A set of challenge questions shows how the new formula relates to the well-known formula of (1/2)bh.
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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

Law of Cosines: Angles in the Outfield

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

Power and Efficiency Simulation

For Students 9th - 12th Standards
How much energy in Jewels does it take to tow a car up a slope? Scholars explore different values of both kinetic and potential energy to answer that question. Through multiple levels, the difficulty increases — as does your young...
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Interactive
CK-12 Foundation

Oscillations Simulation

For Students 9th - 12th Standards
What makes a swing go back and forth like a pendulum rather than going all the way around? Scholars use the simulation to explore pendulums and how they work. They vary the weight, length of the rope, and even gravity in various trials.
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Interactive
CK-12 Foundation

Hockey Simulation

For Students 9th - 12th Standards
Do you understand the science behind hitting a hockey puck to control the direction it moves? Pupils experiment by telling a hockey player how to hit the puck so it moves in a circular direction. Through manipulating the velocity and...
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Interactive
CK-12 Foundation

Cannon Simulation

For Students 9th - 12th Standards
Fire in the hole! Thrill your classes as they see what it's like to fire a cannon ball. Scholars practice aiming a cannon ball by altering first the firing angle, then the velocity, and finally both simultaneously. Can they discover the...
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Interactive
CK-12 Foundation

Electric Fields Simulation

For Students 6th - 12th Standards
Can you get the puck into the goal using only electric charges on the ice? Scholars experiment with electrostatic forces as they determine which charges pull the puck and which repel it. Multiple levels reinforce different related...
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Interactive
CK-12 Foundation

Electric Ice Sheet

For Students 6th - 12th Standards
Tommy is trapped on an ice bridge and needs you to balance the charges so he doesn't fall into the icy water! Scholars apply Coulomb's Law, which relates to both the strength and the distance between charges. They work with these two...
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Interactive
CK-12 Foundation

Energy Conservation Simulation

For Students 6th - 12th Standards
Does the amount of a roller coaster's energy change as it goes along the track? Scholars investigate when a roller coaster has potential and kinetic energy. They observe the changes as it goes up the initial hill follows it throughout...
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Interactive
CK-12 Foundation

Third Law Simulation

For Students 6th - 12th Standards
Keep calm and use the force! Joey pulls a cart and scholars adjust the force required to control the movement. Through simulating different scenarios, participants learn about Newton's Third Law. It includes analysis questions throughout...
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Interactive
CK-12 Foundation

Determining the Equation of a Line: Temperature Conversion Challenge

For Students 8th - 10th Standards
Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...
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Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
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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

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
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Interactive
CK-12 Foundation

Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home

For Students 9th - 12th
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...
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Interactive
CK-12 Foundation

Applications of Linear Systems: Alcohol Solution in Nursing

For Students 8th - 10th Standards
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
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Interactive
CK-12 Foundation

Linear Programming: Bakers' Dilemma

For Students 9th - 12th Standards
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
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Interactive
CK-12 Foundation

Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution

For Students 9th - 12th
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
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Interactive
CK-12 Foundation

Addition of Polynomials: Splitting into Tiles

For Students 8th - 10th Standards
Count on tiles to add polynomials. Pupils drag virtual algebra tiles onto colored mats to represent the sum of two polynomials. The learners count the number of like tiles to find the coefficient of each term. They finish by discussing...
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Interactive
CK-12 Foundation

Addition and Subtraction of Polynomials: Adding Polynomials

For Students 8th - 10th Standards
Stack the like terms to add vertically. The resource contains a visual aid to help with the addition of polynomials using the vertical method. Pupils use the aid to calculate the sum of two polynomials.
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Interactive
CK-12 Foundation

Multiplication of Polynomials by Binomials: Rainbows

For Students 8th - 10th Standards
Is it possible to use the distributive property with several terms? Learners multiply a polynomial by a binomial using the same method as with a monomial. The scholars distribute each term of the binomial to each term in the polynomial...