Polynomial identities are equations that are true for all possible values of the variable. This introduction video gives more examples of identities and discusses how we prove an equation is an identity. [4:56]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

The polynomial remainder theorem says that for a polynomial p(x) and a number a, the remainder on division by (x-a) is p(a). This might not be very clear right now, but you will understand this much better after watching these examples. [5:31]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Sal finds the remainder of (-3x^3-4x^2+10x-7) divided by (x-2) using the PRT (Polynomial Remainder Theorem). [3:31]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial. [5:08]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

When we are given the graph of a polynomial, we can deduce what its zeros are, which helps us determine a few factors the polynomial's equation must include. [3:00]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

See worked examples for using exponent properties to multiply and divide when there are integer exponents. [4:23]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.

This video demonstrates how to take the formula for the area of a triangle and rewrite it in terms of height. [2:29]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Video introducing the concept of even and odd functions by first looking at visual examples and then the formal definitions. Includes link to additional practice at the top of the video. [12:25]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Explains how to solve two different quadratic equations using the completing the square method. [14:06]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Learn how to use exponents and negative numbers, read and write algebraic expressions, solve equations and word problems, and more.

Lessons include: (1) Order of Operations. Learn how to use the order of operations to solve algebraic equations. (2) Exponents. Learn all about exponents, which are numbers that have been multiplied by themselves. (3) Negative Numbers. Learn all about negative numbers, which are any number less than zero. (4) Reciprocals and Inverse Numbers. Learn about reciprocal and inverse numbers and how they work.

Sal introduces the concept of "range" of a function and gives examples for functions and their ranges. [6:38]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

The properties of organic molecules depend on the structure, and knowing the names of organic compounds allow us to communicate with other chemists. We'll be learning about different aspects of molecular structure, including common functional groups and conformations.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Visit this site to find out what covalent compounds are, how covalent bonding is different from ionic bonding, how the properties of covalent compounds differ from ionic compounds, and how to name covalent compounds. There is also a link to some practice problems on naming covalent compounds.

Students learn about linear programming (also called linear optimization) to solve engineering design problems. As they work through a word problem as a class, they learn about the ideas of constraints, feasibility and optimization related to graphing linear equalities. Then they apply this information to solve two practice engineering design problems related to optimizing materials and cost by graphing inequalities, determining coordinates and equations from their graphs, and solving their equations. It is suggested that students conduct the associated activity, Optimizing Pencils in a Tray, before this lesson, although either order is acceptable.

Learn about allele frequencies in populations and how they differ from genotype frequencies. [7:27]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Understand how a gene is a stretch of DNA on a chromosome. Find out about alleles in their role as versions sequence variants of a gene. [8:18]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Learn about the gene as a stretch of DNA on a chromosome. Also find out about alleles as versions or sequence variants of a gene. [8:17]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Using the AMAM’s renowned collection of Asian art, more than 20 lesson plans connect different topics of study with the arts and cultures of Asia. They are based on Ohio’s Learning Standards for all ages and interdisciplinary areas.

Developed through generous grants from the Freeman Foundation, each lesson includes: learning objectives and assessment questions, a hands-on activity, related state and national learning standards, vocabulary words, differentiations for K-12 levels, a slideshow with supplemental maps and images, and additional resource links.

Using maps, Sal Khan explains the alliance system that led to WWI in this video tutorial. Also included is a question/answer section from the community. [4:44]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.