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Unit 4:

Rational and Polynomial Functions

How can polynomial, radical, or rational, functions model problems?
6 weeks

In this unit, students will study properties of rational and polynomial expressions as they appear in both functions and equations. They will also use solving polynomial equations of various forms to extend the number system into the Complex Plane.  Students will identify algebraic terms, write equivalent expressions in factored form, and use the zero product property to understand that all polynomials can be expressed as a product of factors added to a remainder. This allows us to arrive at the remainder theorem, to identify the zeroes of the polynomial, and to sketch its graph.  

Essential Questions:

  • How do changes in the symbolic representation affect the graphical representation of the function?
  • What are the key features of a polynomial function and what do they mean in the context of a problem?
  • How do the properties of real numbers apply to imaginary numbers?
  • How can polynomial, radical, or rational, functions model problems?
  • Why are solutions considered “extraneous?"
  • How do rational and polynomial functions occur?
Printable Unit Plan
  • Algebra II Unit Plan for Unit 4
    Resource:
    Algebra II Unit Plan for Unit 4

    This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Unit Outline

9 Components

Every unit begins with an Initial Task and ends with a Balanced Assessment, both focusing on core mathematics of the unit. The core mathematics is developed through a series of resources around Big Ideas; as you move through the unit, keep students focused on how these ideas are connected and how they address mathematical problem solving. Before attempting the Balanced Assessment, students have an opportunity to synthesize their knowledge through a multi-day Formative Assessment Lesson and teacher-designed re-engagement lessons.

Initial Task See 1 itemHide 1 item

Formative Assessment Lesson See 1 itemHide 1 item

Re-engagement See 1 itemHide 1 item

Balanced Assessment See 1 itemHide 1 item