Eleventh graders learn to predict the end behavior of polynomial functions — which way the ends of the graph point — using just the degree (even or odd) and the sign of the leading coefficient.
Students will be able to…
Without graphing a single point, you can predict which way a polynomial’s graph shoots off at the far ends. The secret is just two things: the degree and the leading coefficient.
Project this and tap each idea. Have students learn how degree and leading coefficient control a polynomial’s end behavior!
Tap any phase to open the teacher moves and student actions.
Can you tell where a graph’s ends point — without graphing it?
Teacher models.
Class uses the Polynomial Explorer.
Students predict.
One polynomial.
Aligned to the Common Core State Standards for Mathematics (High School Algebra II).
Graph polynomial functions, identifying zeros and end behavior.
Identify zeros of polynomials and use them to sketch a graph.
Interpret key features of graphs.
Identify the effect of transformations on graphs.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students combine end behavior with zeros to sketch a full polynomial graph. A printable polynomial sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.