Eleventh graders work with rational expressions — fractions whose numerators and denominators are polynomials — simplifying by factoring and canceling, finding where they’re undefined, and adding with common denominators.
Students will be able to…
A fraction like (x² − 9)/(x + 3) looks scary — but it follows the same rules as ordinary fractions. How do you simplify, add, and analyze these algebraic fractions?
Project each item and have students simplify or analyze the rational expression. The tool explains factoring, canceling, and restrictions.
Tap any phase to open the teacher moves and student actions.
(x² − 9)/(x + 3) — it’s just a fraction with variables. How do we simplify it?
Teacher models.
Class uses Work the Expression.
Students work expressions.
One expression.
Aligned to the Common Core State Standards for Mathematics (High School Algebra II).
Rewrite rational expressions using inspection or long division.
Add, subtract, multiply, and divide rational expressions.
Solve rational equations and note extraneous solutions.
Use the structure of an expression to rewrite it.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students solve rational equations and check for extraneous solutions that make a denominator zero. A printable rational-expressions 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.