## Integration Insanity After we learned integration by parts in grade 11 AP calculus, we went on a tangent to apply this knowledge to trigonometric functions and substitutions. By then, we had acquired a fraction of the skills needed to integrate rational functions. With long division and partial fractions on our side, we can integrate problems of all shapes and sizes!

## The Rolle of Derivatives The grade 11 calculus class learned more about how derivatives can be used to solve a variety of questions. Newton’s method, rectilinear motion, and Rolle’s theorem were among the topics that were covered. Students applied this knowledge by creating graphs and diagrams to model different problems.

## Relevant Related Rates The grade 11 calculus class used their knowledge of derivatives to solve related rates problems. One of many real-world problems they examined was calculating the rate of change of the distance between two cars. Next, students will learn about other topics of differentiation, including local linear approximation and indeterminate forms.