Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Howard County Schools
Planning for Prom
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
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.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Curated OER
Tale of the Tape
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.
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...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Quadratic Functions
Twenty problems present a variety of problems working with various aspects of quadratic functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Analyze Math
Analyze Math: Quadratic Functions: Problems (1)
The tutorial demonstrates how to use quadratic functions to solve word problems. Some topics discussed are minimum points, maximum points, and vertex. The activity consists of examples with detailed solutions.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Definition of Quadratic Function
Dr. Math briefly defines a quadratic function.
Texas Instruments
Texas Instruments: Quadratic Functions
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).
Discovery Education
Discovery Education: Web Math: Using the Quadratic Formula
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.
Help Algebra
Help algebra.com: Solving Quadratics by Factoring
Tips for factoring quadratics are given and demonstrated in several examples. The examples include quadratics that have both two and three terms.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Quadratic Equations
Practice using your graphing calculator for solving and graphing quadratic equations. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each problem.
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...
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: Quadratic Equations
This lesson introduces students to Activity Center and is intended to help students write systems of equations in standard form in slope intercept form to solve the system using tables and graphs.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: The Discriminant
Thirty-eight problems present a variety of practice working with discriminant. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Texas Instruments
Texas Instruments: What Goes Up Must Come Down
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.
Integrated Publishing
Integrated Publishing: Graphical Solution
This site explains how graphing can be used to solve (find the roots of) a quadratic equation. Practice problems are included.
Texas Instruments
Texas Instruments: Old Mac Donald's Pigpen
In this activity, students solve a standard maximum value problem using the calculator. Students help Old MacDonald build a rectangular pigpen with 40 m fencing that provides maximum area for the pigs. They graph scatter plots, analyze...
Interactive Mathematics
Interactive Mathematics: Solving Non Linear Inequalities
The steps for solving non-linear inequalities are presented along with examples to demonstrate the processes. Examples include equations that contain quadratics, cubics and rational expressions.