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. 
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

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

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

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
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...
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

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
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

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

Parametric Equations: Protecting the Village

For Students 11th - Higher Ed
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
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

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

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

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

Equations of Circles: The Sea of Happiness

For Students 11th - Higher Ed Standards
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
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

Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
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

Equations of Parallel Lines: Exploring Equations

For Students 9th - 11th Standards
Same slope, different point — what's the same and what's different about an equation? Young mathematicians use an interactive to position a line parallel to a given line and through a given point. They observe that the equation will have...
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

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.

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