Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Systems of Inequalities
Hotmath provides 21 practice problems dealing with systems of equations and inequalities. Each of the practice problems include a step-by-step guide for solving their algebraic problem.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Conic Sections
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
Other
Algebra Class: Solving and Graphing a Quadratic Equation
Math teacher provides a unit on quadratic equations in which she explains the concepts of solving and graphing quadratic equations through numerous examples and graphs. Hyperlinks are available to each step that ultimately leads to...
Texas Education Agency
Texas Gateway: Analyzing Graphs of Quadratic Functions
Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.
Texas Education Agency
Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
Science Buddies
Science Buddies: Testing a Parabolic Reflector With Light From an Led
You can see examples of parabolic reflectors in flashlights, car headlights, satellite TV antennas, and even on the sidelines at football games. In this project, you can use an LED and a simple photodector to investigate this concept.
Paul Dawkins
Paul's Online Notes: Algebra: Hyperbolas
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.
Other
Drexel University: Archimedes
An extensive site dedicated to the life and legacy of the Greek mathematician Archimedes. Content includes a timeline of Archimedes' life, an overview of several of his inventions, and numerous anecdotes isolating various moments in his...
University of St. Andrews (UK)
University of St. Andrews: Christiaan Huygens
This University of St. Andrews site contains biographical information and findings of Christiaan Huygens.
Texas Instruments
Texas Instruments: Exploring Quadratic Data With Transformation Graphing
Students practice with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.
PBS
Pbs: String Product: Finding the Y Intercept
Examine how a giant piece of art at the National Museum of Mathematics reveals some unexpected relationships between coordinates on a parabola. This video focuses on the relationship between negative and positive points on the parabola...
Texas Instruments
Texas Instruments: Numb3 Rs: Thinking Backward
Based off of the hit television show NUMB3RS, this lesson gets students to work backward, or to find the inverse, of given problems. Two type of problems are presented: one is the graph of a parabola, and the other involves bank shots on...
Texas Instruments
Texas Instruments: Conic Equations
This Learn Check file is a review of writing conic sections given the graph of a conic section. Students are asked to use the graphs to write the equations for a ellipse, circle, parabola, and hyperbola.
Texas Instruments
Texas Instruments: Height and Time for a Bouncing Ball
In this activity, students' will record the motion of a bouncing ball using a motion detector. They will then model a bounce using both the general and vertex forms of the parabola.
Wolfram Research
Wolfram Mathworld: Conic Section Directrix
Explains how the directrix relates to the three conic sections: parabola, ellipse, and hyperbola. Includes a definition, formulas, and links to related topics.
University College London
University College London: The Graph of Y = Ax Squared + Bx + C
Provides a walkthrough of graphs of quadratic functions, including what factors "shift" or otherwise affect the parabola.
Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola. Students...
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Their Graphs
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the x-intercepts, vertex, axis of symmetry, and y-intercept of a parabola.
Shodor Education Foundation
Shodor Interactivate: Lesson: Graphs and Functions
This lesson plan is directed at introducing young scholars to how to graph functions on the Cartesian coordinate plane. They will experience several categories of functions including lines and parabolas. Resources and interactive tools...
University of Georgia
University of Georgia: Writing Quadratic Equations
In this lesson, students will learn how to find an equation of a quadratic function when given the vertex of the parabola, and how to find the equation that defines a quadratic function when given three points.
Concord Consortium
Concord Consortium: Graphing Quadratic Equations
Students learn to graph the equation of a quadratic function using the coordinates of the vertex of a parabola and its x-intercepts.
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] This lesson covers changing a general second-degree equation into the standard form of a parabola, ellipse, circle or hyperbola. Students examine guided notes,...
CK-12 Foundation
Ck 12: Algebra: Quadratic Formula
[Free Registration/Login may be required to access all resource tools.] Use the quadratic formula to solve equations and find the vertex of parabolas.
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