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

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
Interactive
PHET

Graphing Quadratics

For Students 8th - 12th Standards
Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...
Interactive
CK-12 Foundation

Linear, Quadratic, and Cubic Models: The Box Model

For Students 10th - 12th Standards
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
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...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Interactive
CK-12 Foundation

Identification of Quadratic Models: UFO Launch

For Students 10th - 12th Standards
Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...
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

Factorization of Quadratic Expressions: Boxes for Factoring

For Students 9th - 11th Standards
Create rectangles from the terms of a trinomial. The interactive provides virtual algebra tiles for participants to use to create quadratic trinomials. Pupils use the tiles and arrange them into a rectangle to find the factors of the...
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

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
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

Intercepts by Substitution: Finding a Linear Product Using a Quadratic

For Students 9th - 12th Standards
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
Interactive
Curated OER

Selecting the Best Method for Solving Quadratic Equations

For Students 9th - 11th
In this solving quadratic equations worksheet, learners select the best method to solve a quadratic equation and then solve five quadratics.  Fully worked examples  are provided.
Interactive
Shodor Education Foundation

Algebra Quiz

For Students 6th - 10th Standards
Reviewing the process of solving equations is as easy as one click of a button. Scholars solve linear and quadratic equations by using a helpful interactive. The computer app automatically scores responses, providing immediate feedback...
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

Function Rules based on Graphs: Making Money in the Hat Business

For Students 8th - 9th Standards
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
Interactive
Curated OER

Solve By Quadratic Formula

For Students 9th - 12th
In this online math worksheet, students practice their ability to solve equations which utilize the quadratic formula. Students can check their answers, and there are "hints" given should they get stuck.
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...
Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
Interactive
Curated OER

Introduction to Quadratic Equations

For Students 8th
In this quadratic equations worksheet, 8th graders solve and complete 7 various types of problems. First, they find the area for each rectangle with a given perimeter. Then, students describe the shape of the graph and use the equation...
Interactive
Curated OER

Solve Five Quadratic Equations Using the Quadratic Formula

For Students 8th - 11th
In this solving quadratic equations worksheet, students solve five quadratic equations by using the quadratic formula.  Students also review using the discriminant, solving by factoring, and solving by completing the square. ...
Interactive
Curated OER

Five Quadratic Formula Problems With Examples

For Students 8th - 10th
In this quadratic equation worksheet, students solve five quadratic equations using the quadratic formula.  Several fully worked examples are provided.

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