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Math · Algebra 2 · Unit 3

Unit 3: Rational Functions and Equations

Students transition from polynomials to rational functions and equations, analyzing asymptotic behavior, solving rational equations (including identifying extraneous solutions), proving polynomial identities, and deriving the finite geometric series sum formula.

Worksheets

Every sheet has an answer key. Free to print, no login.

Unit
📝 Worksheet ✅ Answer guide
Concept
📝 Worksheet ✅ Answer key
Practice
Set 1
📝 Worksheet ✅ Answer key
Set 2
📝 Worksheet ✅ Answer key
Advanced
Set 1
📝 Worksheet ✅ Answer key
Set 2
📝 Worksheet ✅ Answer key

What this unit covers

A Rational Functions · 4 lessons
Goals
  • Identify asymptotes of rational functions from their equations.
  • Interpret rational functions in context.
Lessons
  1. Minimizing Surface Area
  2. Graphs of Rational Functions (Part 1)
  3. Graphs of Rational Functions (Part 2)
  4. End Behavior of Rational Functions
B Rational Equations · 3 lessons
Goals
  • Create simple equations involving a rational expression to solve problems.
  • Solve equations involving rational expressions, and identify any extraneous solutions.
Lessons
  1. Rational Equations (Part 1)
  2. Rational Equations (Part 2)
  3. Solving Rational Equations
C Polynomial Identities · 4 lessons
Goals
  • Prove identities.
  • Use the formula for the sum of the first n terms in a geometric sequence to solve problems.
Lessons
  1. Polynomial Identities (Part 1)
  2. Polynomial Identities (Part 2)
  3. Summing Up
  4. Using the Sum
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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.