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Curated OER
Braking Distance
This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.
Illustrative Mathematics
An Integer Identity
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...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
5280 Math
Pythagorean Triples
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...
Illustrative Mathematics
Springboard Dive
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...
Howard County Schools
Building a Playground
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.
5280 Math
Polygon Polynomials
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...
Illustrative Mathematics
Transforming the graph of a function
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...
Cool Math
Coolmath: Complex Numbers in the Quadratic Formula
Use this algebra lesson to find out how to use the quadratic formula when you get complex solutions.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Quadratic Formula
Find a quick, concise explanation of the quadratic formula. Examples are given and clearly explained.
Math Medics
S.o.s. Math: Quadratic Equations Quadratic Formula
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...
Help Algebra
Help algebra.com: Quadratic Formula
This presentation of the quadratic equation includes a discussion on the discriminant and a derivation of the quadratic formula.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Other
Algebra.com: Quadratic Equation Solver
An interactive solver for quadratic equations shows solutions using several methods, including graphing and the quadratic formula.
Texas Instruments
Texas Instruments: Prodigious! Quadratics and Free Fall Motion
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.
Wolfram Research
Wolfram Math World: Quadratic Equation
This MathWorld site shows how to derive the quadratic formula.
Purple Math
Purplemath: Algebra Resources
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
Other
Dans Math: Lessons: Intermediate Algebra
College professor Dan Bach presents a review of algebra concepts, including factoring, quadratic equations, and graphing parabolas. The examples are detailed, but easy to follow. This is a good site for reviewing before tests and quizzes.
Help Algebra
Help algebra.com: Quadratic Equations
This article gives a definition of quadratic equations, then demonstrates how to solve them. Factoring, completing the square and the quadratic formula are the methods described. The examples are accompanied by lists of steps for solving...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Solving Quadratic Equations With Square Roots
Find a quick, concise explanation for how to solve quadratic equations using square roots. An example is given and clearly explained.
Math Is Fun
Math Is Fun: Quadratic Equation Solver
The tutorial examines how to solve quadratic equations. The resource consists of detailed examples, an interactive quadratic equation solver, and explanations about the algebra concept.
Paul Dawkins
Paul's Online Notes: Algebra Cheat Sheet [Pdf]
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.
Other
Cre: Ecuaciones Cuadraticas
In Spanish. Clear step by step directions, explanations and example problems of quadratic equations. Explains factorization, the quadratic formula, and completing the square.
Other
Karl's Calculus Tutor: Basic Algebra Concepts
This site is a comprehensive review of algebraic basics including equations, the distributive law, the equation of a straight line, quadratic equations, polynomials, the difference of squares, the Pythagorean distance formula, and...