Student+Misconceptions+and+Errors



  These misconceptions will be addressed throughout the course of the lesson by highlighting and emphasizing where the students may make common errors. Also, during student presentations, the other students will have the responsibility to determine whether each presenter's answers are correct and if not, to identify and explain where they made their mistakes. Additionally, in all of the collaborative work, the group members will share the responsibility of aiding each other in learning the concepts and learning from their mistake and misconceptions. Finally, additional scaffolds throughout the lesson will help address these common errors and misconceptions.
 * Students may not divide each term in the numerator by the denominator.
 * Students may cancel out exponents from solely one term in the numerator with one term in the denominator rather than distributing the whole denominator to each term in the numerator.
 * Students may not distribute the negative sign to the whole binomial when subtracting in long division.
 * Students may forget to use placeholders for missing terms when using long division.
 * Students may not remember the steps involved when the remainder is not zero.
 * Students may not bring down the first term before following to multiply and add when using synthetic division.