Curated OER
Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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.
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...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Help Algebra
Help algebra.com: Quadratic Equations
After defining a quadratic equation, this site shows you what the graphs of quadratics look like and how to use the graphs to determine the numbers of solutions to the quadratic. A brief explanation is included on how graphing...
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...
Texas Instruments
Texas Instruments: Connecting Factors and Zeros
Students will determine if a quadratic formula is factorable, then they will factor the equation, set each factor equal to 0, and solve for x.
Texas Instruments
Texas Instruments: Zeros of a Parabola
Students are introduced to an interesting property of parabolas and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
Texas Instruments
Texas Instruments: Factoring
A teaching activity that makes the equivalence and zeros connection between functions.
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."