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.
Illustrative Mathematics
Illustrative Mathematics: F Bf Building Explicit Quadratic Function: Composition
For this task, students work through the steps and operations involved in the composition of an explicit quadratic function. The task assumes that the students are familiar with the process of completing the square. Aligns with F-BF.B.3...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Completing the Square
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, learners are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
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...
Other
Completing the Square to Get a Quadratic Function Into Standard Form
This site shows students how to put a quadratic function into standard form by completing the square.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Oswego City School District
Regents Exam Prep Center: Interactive Games and Puzzles for Algebra 2 & Trig
This educational resource consists of interactive games and puzzles that investigate algebra and trigonometry concepts. Some concepts included are functions, quadratics, and trigonometric graphs. [Requires Java Plugin.]
Texas Instruments
Texas Instruments: Explore Graphs and Factors
Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...
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 lesson 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.
Discovery Education
Discovery Education: Web Math: Algebra
This WebMath site provides links to tutorials and lessons in both Algebra I and II. Links to topics such as factoring, solving equations, polynomials, simplifying equations, graphing, and much more.
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Students will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [Pdf]
Learners use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 2 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 3 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 4 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 7 [Pdf]
Learners use a given scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]
Learners use a scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Math Medics
S.o.s. Math: The "Cubic" Formula
This tutorial supplies a general formula (similar to the quadratic formula) to find the roots of a cubic polynomial.
Math Is Fun
Math Is Fun: Algebra
Through this collection of definitions, lessons, problem-solving steps and strategies, and example questions, you'll learn why completing an algebra problem is a lot like solving a puzzle. After viewing introductory material and basic...
Paul Dawkins
Paul's Online Notes: Algebra: Parabolas
Detailed math tutorial features notes and examples that investigate the process for graphing parabolas.
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Illustrative Mathematics
Illustrative Mathematics: A Rei Two Squares Are Equal
This task asks students to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...