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

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

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...
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

Properties of Equality and Congruence: Justifying Algebraic Steps

For Students 8th - 10th
No need to justify using this resource. Learners drag justifications for each step of solving an equation in an interactive. To see if they are correct, all they need to do is use a slider and the correct answers appear.
Interactive
CK-12 Foundation

Completing the Square

For Students 8th - 10th Standards
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
Interactive
CK-12 Foundation

Repeating Decimals: Does 1 equal 0.999... ?

For Students 6th - 8th Standards
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
Interactive
CK-12 Foundation

Completing the Square

For Students 9th - 12th Standards
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that...
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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