National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Equation for an Arch
A student with a summertime carpenter job asks Dr. Math how to draw an arch. Dr. Math responds by showing how the equation of the parabola can be generated by having three distinct points of the parabola known.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Parabolic Equation of an Arch
A student, in writing to Dr. Math, wants to know how to find the equation of the parabola of McDonald's arches. Dr. Math helps the student get started with the problem.
Texas Instruments
Texas Instruments: Given a Graph, What Is the Function?
Understanding how to associate a function of a parabola with its graph. Students will explore varies functions and determine its graph. They will then use what they learned to predicate where a particular graph of a different function...
Texas Instruments
Texas Instruments: Exploring Transformations of the Quadratic Function
Using TI-Interactive, students will discover how the variables of a, h, and k in the vertex form of a quadratic function affect the size, shape and location of the parabola. During the lesson students will write quadratic functions when...
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...
Texas Instruments
Texas Instruments: Parabolic Applications
Students will analyze a parabola graphed from word problems. Students can use the calculator to find the roots and vertex of the graph to answer questions based on the word problems.
Texas Instruments
Texas Instruments: St. Louis Curves or Arch? You Pick!
Students explore curve fitting and translations of the parabola.
Texas Instruments
Texas Instruments: Conics as a Locus of Points
Students investigate the definition of a parabola through one of its geometric definitions. They study conic sections. They examine an ellipse as a locus of points such that the sum of distances from the foci to the traced path is constant.
Texas Instruments
Texas Instruments: How High Will It Bounce?
In this activity, students collect the height versus time data of a bouncing ball using the CBR 2. They find the relationship between the bounce number and the bounce height. They learn to graph scatter plots, calculate the maximum value...
Texas Instruments
Texas Instruments: Bouncing Ball
In this experiment, students collect the height versus time data of a bouncing ball using the CBR 2. This activity investigates the values of height, time, and the coefficient A in the quadratic equation, which describes the behavior of...
Science Education Resource Center at Carleton College
Serc: Conics and Reflection
Students investigate the reflective properties of the parabola, the ellipse, and the hyperbola. They will look at applications that relate to both the collection of incoming signals and signals that are emitted from a source and...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Conicas
In Spanish. Learn more about the ellipse, hyperbola and the parabola with these interactive activities.
Other
Sierra College: Conics
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.
Exploratorium
Exploratorium: Science Snacks: Water Spinner
A student demonstration which illustrates that rotating water has a curved surface called a parabola.
Varsity Tutors
Varsity Tutors: Hotmath: Quadratic Function
Students will use graphics to understand quadratic functions such as parabolas and determine the vertex, intercepts, domain, and range of the functions.
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
Discovery Education
Discovery Education: Web Math: Plots and Geometry
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
Math Planet
Math Planet: The Graph of Y = Ax^2 + Bx + C
A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.
Purple Math
Purplemath: Graphing Quadratic Functions: Introduction
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
Mathigon
Mathigon: Geometry: Circle and Pi: Conic Sections
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
CK-12 Foundation
Ck 12: Interactive Geometry: 10.1 Conic Sections
The conic sections are the cross-sections of a double-napped cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
Other
Nearpod: Quadratic Equations: Intro & Factoring
For this lesson, students will learn the main parts of a parabola and solve quadratic equations by factoring.
Math Words
Math words.com: Vertex, Parabola
The definition is given for what the vertex is. An example illustration is also given.
Concord Consortium
Concord Consortium: Quadratic Functions in Vertex Form
Given the equation of a quadratic function in vertex form, students learn to identify the vertex of a parabola from the equation, and then graph the parabola.
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