How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

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

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.

How can you determine the height of a drop off a cliff if you have nothing to measure it with? A movie clip sets up a sky-high challenge and solves it with a falling glow stick. Scholars must take the given information and decide how...

What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

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...

Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...

Twenty-five problems present a variety of problems working with various aspects of solving equations using the quadratic formula. They are given with each step to the solution cleverly revealed one at a time. You can work each step of...

Use this algebra lesson to find out how to use the quadratic formula when you get complex solutions.

Here you can find a general overview of the quadratic formula, complete with a full breakdown of how to come up with the quadratic formula with a quadratic equation, as well as am example of using the quadratic formula to solve a...

This WebMath site provides interactive problem solvers to understand the quadratic formula and solve quadratic equations by factoring. In addition to providing answers, these 'solvers' show the step-by-step method in which to get there.

These examples use the quadratic formula to solve quadratic equations. Learn what to do when the solution includes a complex number. Use the practice page and teacher resource page to enhance the lesson.

An interactive solver for quadratic equations shows solutions using several methods, including graphing and the quadratic formula.

Uses the movie "October Sky" as an introduction to the study of free fall motion functions. Acts a summation activity to a quadratic unit in Algebra. Solve quadratic equations by graphing, factoring, and the quadratic formula.

Students can use quadratic functions to solve physical problems. Students can use the y = a(x-h)^2 + k form and the velocity formula (0 = -16t^2 + vt + s).

Find a quick, concise explanation for how to solve quadratic equations using square roots. An example is given and clearly explained.

A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.

In this activity, students use the calculator to solve quadratic equations. They use the quadratic formula to determine the vertex and the x-intercepts of the graph of a quadratic function.

An algebra "cheat sheet" to use as a reference when completing algebra homework. Lists basic facts, properties, operations, formulas, and functions, as well as common errors.