Math Mill

I used this as a Notes sheet when teaching my students about the y-intercept and horizontal or slant/oblique asymptotes of rational expressions based on whether the expression was proper or improper. I use synthetic and long division with the rationals. After each example, the students would graph the rational on their graphing calculators to see the y-intercepts and asymptotes.

I used this as my lesson examples when teaching my students how to graph rational expressions by noting their roots, holes, vertical asymptotes and domain from standard from by factoring.

I used this as my lesson and examples to teach about polynomials and their degrees/roots/factors while reviewing end behavior, y-intercepts and domain & range. All roots are real.

This is a lesson worksheet for direct instruction on writing functions from the transformations on a graph. I start with linear and quadratic functions then extend to exponential and logarithmic functions incorporating asymptotes.