Unit 2
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
All Units
Overview
Today's review activity will help students solidify important ideas about the short-run and long-run behavior of polynomials, including zeros, intercepts, and end-behavior. Students switch between graphical and analytical representations of polynomials throughout the activity.
Activity: Graphing Task
Lesson Handout
Answer Key
Instructions
In the Graphing Polynomials task, students will be given information about a polynomial in different representations and must identify key information including the degree, leading coefficient, end-behavior, y-intercept, and zeros. Students will also sketch a polynomial given its equation and write a polynomial in intercept form when given a graph.
We suggest having students complete question 1 in small groups, debriefing as a class, and then having students complete question 2 individually. Note that question 2 features a pair of imaginary zeros. Students may struggle to draw the graph but the important piece is that students draw only one x-intercept and have the correct end behavior and a few key points.
We then have students work in small groups on question 3, where now the graph of the polynomial function is given, instead of the equation. Question 4 can be done individually in class or assigned as homework.