EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Curated OER
Discriminating Against the Zero
Students explore the concept of quadratic equations. For this quadratic equations lesson, students find the roots or zeros of quadratic equations using the quadratic formula. Students give examples of functions with 2 real, rational...
Curated OER
Dog Pen Problem
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
Curated OER
The football and Braking Distance; Model Data with Quadratic Functions
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Vocabulary of Polynomial Function
Here is a site that clearly and thoroughly explains all the vocabulary associated with polynomial functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Cool Math
Coolmath: Polynomials
Description and examples to build an understanding of the shapes of polynomials.
CK-12 Foundation
Ck 12: Precalculus Concepts 2.0
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots/zeroes of a Polynomial
Here is a site that clearly and thoroughly explains how to find the roots, or zeroes, of a polynomial. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Khan Academy
Khan Academy: Factor Polynomials: Complex Numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Adding and Subtracting Polynomials With Two Variables Review
Adding and subtracting polynomials is all about combining like terms. When the terms have two variables, it gets a little bit tricky to figure out which terms are like terms. In this article, we review some examples and give you a chance...
CK-12 Foundation
Ck 12: Analysis: Polynomial and Rational Inequalities
[Free Registration/Login may be required to access all resource tools.] In this lesson students explore analytical, graphical and numerical methods of solving polynomial and rational equations.
Khan Academy
Khan Academy: Divide Polynomials With Remainders
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Khan Academy
Khan Academy: Divide Polynomials by Monomials (With Remainders)
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
CK-12 Foundation
Ck 12: Analysis: Graphing Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Khan Academy
Khan Academy: Polynomials: Expand Binomials
Use the Binomial Theorem to expand integer powers of binomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Windstream
Ojk's Precalculus Study Page: Polynomial Inequalities, One Variable
This tutorial offers two methods to solve polynomial inequalities. Site includes several examples, charts, graphs, and other information for student understanding.
Cool Math
Coolmath: Pre Calculus Freaky Factoring
This CoolMath resource provides a review of factoring polynomials and an introduction to factoring exponents that are fractions.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Multiple Roots
Here is a site that clearly and thoroughly explains the graphs of polynomials with multiple roots. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Synthetic Division by X A
Here is a site that clearly and thoroughly explains how to divide a polynomial by a binomial using synthetic division. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Rational Functions
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...