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Texas Instruments
Texas Instruments: The Standard Form of a Quadratic Equation
In this activity, students explore the standard form of a quadratic equation, y = ax 2 + bx + c. They explore how the x-intercepts (zeros), y-intercept, and vertex are related to the graph of the standard form of a quadratic function.
Purple Math
Purplemath: Quadratic Word Problems: Projectile Motion
Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...
Texas Instruments
Texas Instruments: Finding Patterns and Graphing Functions
This activity has students find patterns in the areas and perimeters of a given series of figures. Students' then use graphing calculators to graph the values and to find linear and quadratic functions to describe the patterns.
Concord Consortium
Seeing Math: Quadratic Transformer
The Quadratic Transformer was developed to support the learning of quadratic functions, and in particular to help you understand the connections between symbolic and graphic representations. Indirectly, it also helps you connect either...
Texas Instruments
Texas Instruments: Quadratic Inequalities
Students solve quadratic inequalities using graphs, tables, and algebraic methods.
Texas Instruments
Texas Instruments: Quadratic Functions
Students will explore the effect the coefficient of x^2 has on the graph of a quadratic function; they will also explore the effect of adding a constant to the quadratic function.
Texas Instruments
Texas Instruments: Exploring the Vertex Form of a Quadratic Function
In this activity, you will change the parameters of the function and determine the effects on its graph and its vertex.
Oswego City School District
Regents Exam Prep Center: Quadratic Inequalities
The mathematics tutorial explores quadratic inequalities. The lesson consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes a worksheet on matching graphs with equations.
Texas Instruments
Texas Instruments: Solving Systems With Quadratic Equations: Systems of Conics
In this activity, students will plot the graphs of systems of equations and determine the number of real solutions of the system. Then find the solution of the system algebraically.
Illustrative Mathematics
Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?
In this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Oswego City School District
Regents Exam Prep Center: Linear Quadratic Systems
A lesson, practice exercise, and resource for use when planning classroom instruction on linear quadratic systems. Find definitions, example equations and graphs, a four-question quiz with solutions, and an activity through which...
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Equations
[Free Registration/Login may be required to access all resource tools.] Recognize a quadratic function as an equation in two variables with a specific form.
CK-12 Foundation
Ck 12: Algebra: Factorization of Quadratic Expressions
[Free Registration/Login may be required to access all resource tools.] Factor quadratic expressions in which the coefficients a, b, and/or c are negative.
PBS
Pbs: Comparing Exponential, Quadratic, and Linear Functions
Analyze the numerical and graphical representations of functions. This interactive exercise focuses comparing linear, quadratic, and exponential functions and their graphical representations after completing a table to calculate ordered...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Basic Graphs
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Cool Math
Coolmath: Intro to Graphing Parabolas
Learn how to graph parabolas with this quick tutorial.
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.
Khan Academy
Khan Academy: Graph Quadratics in Vertex Form
Graph quadratic functions that are given in the vertex form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Parabolas: Numb3 Rs: Structural Corruption
Based off of the hit television show NUMB3RS, this lesson helps students understand how changing the values of y=a(x-b)^2+c changes the graph of the associated parabola. This is framed in the context of a bridge jumper, who enters the...
Interactive Mathematics
Interactive Mathematics: The Graph of a Function
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
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.
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra: Graph Quadratic Curves of Best Fit
Students will find the best-fit quadratic model for the given points
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Equations
[Free Registration/Login may be required to access all resource tools.] This lesson covers vertex, intercept, and standard forms.
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