Students explore the concept of quadratic equations.  In this quadratic equations activity, students determine what shifts of a parent graph will look like by describing in sentences.  Students factor quadratic expressions and...

What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...

A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...

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...

Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...

Focusing on this algebra lesson plan, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...

Explore parabolas in this algebra lesson with the graphing calculator. The class investigates what effects the changing of the parameters of the vertex form of a quadrati have to its graph. They find the zeros of a quadratic graphically...

This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.

This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...

Explore the properties of parabolas in this lesson. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus and directrix.

Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...

Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...

High schoolers determine how changes in the coefficients in a quadratic function affect its graph. They determine how to use the equation to determine the intercepts of a quadratic function. Students identify the location of the...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Bobo the Boxer needs a pen and algebra learners need to find the maximum area that can be created from a fixed amount of fence.  A graphing calculator is used to assist in their exploration. 

Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.

Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the...

Young scholars explore quadratic equations. They use interactive graphs (on the Internet) to verify and solve solutions. Students solve quadratic equations by using square roots. Young scholars examine examples of inequalities.

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...

Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...

Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 

In this quadratic applications worksheet, students complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.