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.
Illustrative Mathematics
Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic
During this task, students will realize that equivalent expressions produce the same graph. The activity will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
Math Planet
Math Planet: Algebra 2: The Quadratic Formula
Gain an understanding of how to solve a quadratic equation using the quadratic formula by viewing examples and a video lesson. [2:23]
Math Planet
Math Planet: Algebra 2: How to Solve Quadratic Equations
Gain an understanding of how to use factoring to solve a quadratic equation by viewing examples and a video lesson. [2:13]
Texas Instruments
Texas Instruments: Exploring the Vertex Form of the Quadratic Function
Students explore the vertex form of the parabola and discover how the vertex, direction, and width of the parabola can be determined by studying the parameters. They predict the location of the vertex of a parabola expressed in vertex form.
Integrated Publishing
Integrated Publishing: Graphical Interpretation of Roots
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.
CK-12 Foundation
Ck 12: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] A collection of resources for exploring word problems using function models.
Khan Academy
Khan Academy: Fitting Quadratic and Exponential Functions to Scatter Plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Annenberg Foundation
Annenberg Learner: Insights Into Algebra 1. Workshop 4
Determine the height of a bouncing ball by creating a quadratic function for each.
Texas Instruments
Texas Instruments: Math Today Challenge Heat Watch
Students will explore linear & quadratic functions to determine how they model the relationship between air temperature & heat index. Once the models are determined students will make predictions about heat index when given a...
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 1: Find Minimum and Maximum
Students can use the TI-84 Plus family to find the minimum or maximum and the zeros of quadratic functions.
Khan Academy
Khan Academy: Algebra 2: Compare Features of Functions
Compare various features between two functions, each represented in a different way. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Graph Quadratics in Standard Form
Graph quadratic functions given in the standard form.
CK-12 Foundation
Ck 12: Algebra: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw a scatter plot of data, find and draw the function that best fits that data, and make predictions from that information. Students watch...
Texas Instruments
Texas Instruments: Exploring the Parabola and Its Equation Part 1 and @
Starting with y=x^2 going all the way to (in part 2)y=ax^2+bx+c, how do changes in the quadratic equation/function change the appearance of the parabola.
Purple Math
Purplemath: Completing the Square: Solving Quadratic Equations
Purplemath gives several examples which clearly show the process of completing the square to find the maximum and minimum solutions to a quadratic equation.
Texas Instruments
Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel
Using data from the USA TODAY graphic,"Humidity makes air feel even hotter," students will explore quadratic and cubic functions to determine how well they model the relationship between air temperature and heat index. When the models...
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...
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Texas Instruments
Texas Instruments: Linear and Quadratic Approximations
In this activity, students explore the linear and quadratic approximations of a logarithmic function and find properties the functions have in common.
Wolfram Research
Wolfram Math World: Quadratic Formula
This MathWorld site provides the quadratic formula, giving the roots of a quadratic equation, as well as an alternative form of the equation.
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.
Elias Saab
Math Drills: Roots of Polynomial Functions Quiz
An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...
Alabama Learning Exchange
Alex: Discover the Roots of a Polynomial Function
In this lesson, learners will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore the...
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