Students will learn how to perform partial fraction decomposition with linear factors, repeated linear factors, quadratic factors, repeated quadratic factors, and improper fractions, in that order. They'll also learn how to use the cover-up method, which is a fast method for algebraic fractions with linear factors, whether repeated or not. After that, students will learn why the cover-up method works. Before attempting this section, students must know how to perform polynomial long division, and how to factor a wide variety of polynomials, using various methods, such as factor by grouping, difference of squares, etc.

Conclude by giving your students these challenges:

- Playground Snapshot by NRICH
- Bicentric Quadrilaterals by NRICH
- Squares, Squares and More Squares by NRICH
- Angle Trisection by NRICH
- 2003 AMC 8, Problem 19