Interactive
CK-12 Foundation

Equations with Variables on Both Sides: Rubber Ducky Math

For Students 8th
Rubber ducky, you're the one ... to help solve equations. Young mathematicians use an interactive to set up a situation involving rubber ducks. This helps users visualize and solve an equation with variables on both sides.
Interactive
CK-12 Foundation

One-Step Equations and Inverse Operations: Additive Inverse

For Students 6th - 8th Standards
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
Interactive
CK-12 Foundation

Solving Logarithmic Equations

For Students 11th - Higher Ed Standards
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
Interactive
CK-12 Foundation

Multi-Step Equations

For Students 8th - 10th Standards
It's important to know why each step in solving an equation works. Scholars order the steps and reasons when solving a multi-step equation. Solutions require using the distributive property, combining like terms, and using properties of...
Interactive
CK-12 Foundation

Two-Step Equations with Addition and Multiplication: T-Shirt Equation

For Students 7th - 10th Standards
Interactive bar models make solving equations fairly easy. Scholars use an interactive to adjust a bar model representing an equation. This model helps solve the equation.
Interactive
CK-12 Foundation

Single Variable Division Equations: Paper Car Tires

For Students 7th Standards
Don't tire of solving equations, mix up your lesson! A virtual interactive has users drag paper tires to toy cars. Solving a one-step equation lets them find how many cars can be made from a given number of tires.
Interactive
CK-12 Foundation

Two-Step Equations with Subtraction and Multiplication: Cupcake Equation

For Students 7th - 9th Standards
Solving equations is a piece of cake. Young mathematicians use an interactive to create a bar model to representing a situation involving cupcakes. They use the model to solve for the cost of a cupcake.
Interactive
CK-12 Foundation

Solving Equations with Exponents: Money Over Time

For Students 10th - 12th
We'd all like to see our money double. An interactive shows how an initial investment of $1,000 will increase using a constant rate of return. Scholars answer a set of challenge questions based on the situation.
Interactive
CK-12 Foundation

Solving a Matrix Equation: Mystery Matrix

For Students 10th - 12th Standards
Solve a matrix in code—color code. Pupils use the interactive resource to set up the matrix equation and its solution path. Scholars use the created solution path to determine the entries of the 2 X 2 solution.
Interactive
CK-12 Foundation

The Percent Equation: Soccer Stadium

For Students 6th - 8th Standards
A soccer-themed interactive challenges mathematicians to solve five questions involving percent equations. Question types include multiple-choice, fill in the blank, true or false and a discussion. A color-coded stadium with movable...
Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
Interactive
CK-12 Foundation

One-Step Equations Transformed by Multiplication/Division: Dividing Plums

For Students 6th Standards
Be sure to use this plum resource. Scholars apply an interactive to find the number of plums each friend receives after plum-picking. They see how the interactive relates to one-step equations.
Interactive
CK-12 Foundation

Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic

For Students 9th - 12th Standards
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
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...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 9th - 12th Standards
Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.
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...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Pizza Slice!

For Students 9th - 12th Standards
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
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...
Interactive
CK-12 Foundation

Use Square Roots to Solve Quadratic Equations: Plus or Minus

For Students 9th - 12th Standards
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
Interactive
CK-12 Foundation

Problem-Solving Models: Subway vs. Taxi

For Students 8th Standards
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.  
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...
Interactive
CK-12 Foundation

Cramer's Rule

For Students 10th - 12th Standards
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
Interactive
CK-12 Foundation

Solving Real-World Problems Using Multi-Step Equations: Bowling Ball Delivery

For Students 7th - 10th Standards
How many bowling balls can a truck carry? A slider interactive changes the weight of boxes and the number of bowling balls per box. Investigating with this slider lets users find the maximum number of bowling balls.
Interactive
CK-12 Foundation

Multi-Step Equations with Like Terms: Shipments

For Students 8th - 9th Standards
Who doesn't like boxes of money? A drag-and-drop interactive lets users separate variables and constants to combine like terms. They answer a set of challenge questions based on the results of the interactive.  

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